137343431680000
137,343,431,680,000 is an even composite number composed of seven prime numbers multiplied together.
137343431680000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 137343431680000:
213 × 54 × 7 × 13 × 31 × 37 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 13 × 31 × 37 × 257)See below for interesting mathematical facts about the number 137343431680000 from the Numbermatics database.
Names of 137343431680000
- Cardinal: 137343431680000 can be written as One hundred thirty-seven trillion, three hundred forty-three billion, four hundred thirty-one million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3734343168 × 1014
Factors of 137343431680000
Divisors of 137343431680000
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 37 40 50 52 56 62 64 65 70 74 80 91 100 104 112 124 125 128 130 140 148 155 160 175 182 185 200 208 217 224 248 250 256 257 259 260 280 296 310 320 325 350 364 370 400 403 416 434 448 455 481 496 500 512 514 518 520 560 592 620 625 640 650 700 728 740 775 800 806 832 868 875 896 910 925 962 992 1000 1024 1028 1036 1040 1085 1120 1147 1184 1240 1250 1280 1285 1295 1300 1400 1456 1480 1550 1600 1612 1625 1664 1736 1750 1792 1799 1820 1850 1924 1984 2000 2015 2048 2056 2072 2080 2170 2240 2275 2294 2368 2405 2480 2500 2560 2570 2590 2600 2800 2821 2912 2960 3100 3200 3224 3250 3328 3341 3367 3472 3500 3584 3598 3640 3700 3848 3875 3968 4000 4030 4096 4112 4144 4160 4340 4375 4480 4550 4588 4625 4736 4810 4960 5000 5120 5140 5180 5200 5425 5600 5642 5735 5824 5920 6200 6400 6425 6448 6475 6500 6656 6682 6734 6944 7000 7168 7196 7280 7400 7696 7750 7936 7967 8000 8029 8060 8125 8192 8224 8288 8320 8680 8750 8960 8995 9100 9176 9250 9472 9509 9620 9920 10000 10075 10240 10280 10360 10400 10850 11200 11284 11375 11470 11648 11840 12025 12400 12800 12850 12896 12950 13000 13312 13364 13468 13888 14000 14105 14336 14392 14560 14800 14911 15392 15500 15872 15934 16000 16058 16120 16250 16448 16576 16640 16705 16835 17360 17500 17920 17990 18200 18352 18500 18944 19018 19240 19375 19840 20000 20150 20480 20560 20720 20800 21700 22400 22568 22750 22940 23125 23296 23387 23680 24050 24800 25600 25700 25792 25900 26000 26624 26728 26936 27125 27776 28000 28210 28672 28675 28784 29120 29600 29822 30784 31000 31744 31868 32000 32116 32125 32240 32375 32500 32896 33152 33280 33410 33670 34720 35000 35840 35980 36400 36704 37000 37888 38036 38480 38750 39680 39835 40000 40145 40300 40960 41120 41440 41600 43400 44800 44975 45136 45500 45880 46250 46592 46774 47360 47545 48100 49600 50375 51200 51400 51584 51800 52000 53248 53456 53872 54250 55552 55769 56000 56420 56875 57344 57350 57568 58240 59200 59644 60125 61568 62000 63488 63736 64000 64232 64250 64480 64750 65000 65792 66304 66560 66563 66820 67340 69440 70000 70525 71680 71960 72800 73408 74000 74555 75776 76072 76960 77500 79360 79670 80000 80290 80600 82240 82880 83200 83525 84175 86800 89600 89950 90272 91000 91760 92500 93184 93548 94720 95090 96200 99200 100750 102400 102800 103168 103571 103600 104000 104377 106496 106912 107744 108500 111104 111538 112000 112840 113750 114700 115136 116480 116935 118400 119288 120250 123136 123617 124000 126976 127472 128000 128464 128500 128960 129500 130000 131584 132608 133120 133126 133640 134680 135625 138880 140000 141050 143360 143375 143920 145600 146816 148000 149110 151552 152144 153920 155000 158720 159340 160000 160580 160625 161200 161875 164480 165760 166400 167050 168350 173600 179200 179900 180544 182000 183520 185000 186368 187096 189440 190180 192400 198400 199175 200725 201500 204800 205600 206336 207142 207200 208000 208754 213824 215488 217000 222208 223076 224000 224875 225680 227500 229400 230272 232960 233870 236800 237725 238576 240500 246272 247234 248000 251875 253952 254944 256000 256928 257000 257920 259000 260000 263168 265216 266240 266252 267280 269360 271250 277760 278845 280000 282100 286720 286750 287840 291200 293632 294779 296000 298220 300625 303104 304288 307840 310000 317440 318680 320000 321160 321250 322400 323750 328960 331520 332800 332815 334100 336700 347200 352625 358400 359800 361088 364000 367040 370000 372736 372775 374192 378880 380360 384800 396800 398350 401450 403000 411200 412672 414284 414400 416000 417508 417625 420875 427648 430976 434000 444416 446152 448000 449750 451360 455000 458800 460544 465920 467740 473600 475450 477152 481000 492544 494468 496000 503750 509888 512000 513856 514000 515840 517855 518000 520000 521885 526336 530432 532480 532504 534560 538720 542500 555520 557690 560000 564200 573500 575680 582400 584675 587264 589558 592000 596440 601250 608576 615680 618085 620000 634880 637360 640000 642320 642500 644800 647500 657920 663040 665600 665630 668200 673400 694400 705250 716800 716875 719600 722176 724997 728000 734080 740000 745472 745550 748384 757760 760720 769600 793600 796700 802900 806000 822400 825344 828568 828800 832000 835016 835250 841750 855296 861952 865319 868000 888832 892304 896000 899500 902720 910000 917600 921088 931840 935480 947200 950900 954304 962000 985088 988936 992000 995875 1003625 1007500 1019776 1024000 1027712 1028000 1031680 1035710 1036000 1040000 1043770 1052672 1060864 1065008 1069120 1077440 1085000 1111040 1115380 1120000 1124375 1128400 1147000 1151360 1164800 1169350 1174528 1179116 1184000 1188625 1192880 1202500 1217152 1231360 1236170 1240000 1269760 1274720 1280000 1284640 1285000 1289600 1295000 1315840 1326080 1331200 1331260 1336400 1346800 1388800 1394225 1410500 1433600 1433750 1439200 1444352 1449994 1456000 1468160 1473895 1480000 1491100 1496768 1515520 1521440 1539200 1587200 1593400 1605800 1612000 1644800 1650688 1657136 1657600 1664000 1664075 1670032 1670500 1683500 1710592 1723904 1730638 1736000 1763125 1777664 1784608 1792000 1799000 1805440 1820000 1835200 1842176 1863680 1863875 1870960 1894400 1901800 1908608 1924000 1970176 1977872 1984000 1991750 2007250 2015000 2039552 2055424 2056000 2063360 2063453 2071420 2072000 2080000 2087540 2088125 2104375 2105344 2121728 2130016 2138240 2154880 2170000 2222080 2230760 2240000 2248750 2256800 2294000 2302720 2329600 2338700 2349056 2358232 2368000 2377250 2385760 2405000 2434304 2462720 2472340 2480000 2549440 2560000 2569280 2570000 2579200 2589275 2590000 2609425 2631680 2652160 2662400 2662520 2672800 2693600 2777600 2788450 2821000 2867500 2878400 2888704 2899988 2912000 2923375 2936320 2947790 2960000 2982200 2993536 3042880 3078400 3090425 3174400 3186800 3211600 3224000 3289600 3301376 3314272 3315200 3328000 3328150 3340064 3341000 3367000 3421184 3447808 3461276 3472000 3526250 3569216 3584000 3598000 3610880 3624985 3640000 3670400 3684352 3727360 3727750 3741920 3788800 3803600 3817216 3832127 3848000 3940352 3955744 3968000 3983500 4014500 4030000 4079104 4110848 4112000 4126720 4126906 4142840 4144000 4160000 4175080 4176250 4208750 4260032 4276480 4309760 4326595 4340000 4444160 4461520 4480000 4497500 4513600 4588000 4605440 4659200 4677400 4698112 4716464 4736000 4754500 4771520 4810000 4868608 4925440 4944680 4960000 4979375 5018125 5098880 5120000 5138560 5140000 5158400 5178550 5180000 5218850 5263360 5304320 5325040 5345600 5387200 5555200 5576900 5642000 5735000 5756800 5777408 5799976 5824000 5846750 5872640 5895580 5920000 5943125 5964400 5987072 6085760 6156800 6180850 6348800 6373600 6423200 6448000 6579200 6628544 6630400 6656000 6656300 6680128 6682000 6734000 6842368 6895616 6922552 6944000 6971125 7052500 7138432 7168000 7196000 7221760 7249970 7280000 7340800 7368704 7369475 7455500 7483840 7577600 7607200 7634432 7664254 7696000 7911488 7936000 7967000 8029000 8060000 8158208 8221696 8224000 8253440 8253812 8285680 8288000 8320000 8320375 8350160 8352500 8417500 8520064 8552960 8619520 8653190 8680000 8888320 8923040 8960000 8995000 9027200 9176000 9210880 9318400 9319375 9354800 9396224 9432928 9472000 9509000 9543040 9620000 9737216 9850880 9889360 9920000 9958750 10036250 10197760 10277120 10280000 10316800 10317265 10357100 10360000 10437700 10526720 10608640 10650080 10691200 10774400 11110400 11153800 11284000 11470000 11513600 11554816 11599952 11648000 11693500 11745280 11791160 11840000 11886250 11928800 11974144 12171520 12313600 12361700 12747200 12846400 12896000 12946375 13047125 13158400 13257088 13260800 13312000 13312600 13360256 13364000 13468000 13684736 13791232 13845104 13888000 13942250 14105000 14276864 14392000 14443520 14499940 14560000 14616875 14681600 14737408 14738950 14911000 14967680 15214400 15268864 15328508 15392000 15452125 15822976 15872000 15934000 16058000 16120000 16316416 16443392 16448000 16506880 16507624 16571360 16576000 16640000 16640750 16700320 16705000 16835000 17040128 17105920 17239040 17306380 17360000 17846080 17920000 17990000 18054400 18124925 18352000 18421760 18636800 18638750 18709600 18865856 18944000 19018000 19086080 19160635 19240000 19474432 19701760 19778720 19840000 19917500 20072500 20395520 20554240 20560000 20633600 20634530 20714200 20720000 20875400 21300160 21382400 21548800 21632975 22220800 22307600 22568000 22940000 23027200 23109632 23199904 23296000 23387000 23490560 23582320 23680000 23772500 23857600 23948288 24343040 24627200 24723400 25494400 25692800 25792000 25892750 26094250 26316800 26514176 26521600 26625200 26720512 26728000 26824889 26936000 27369472 27582464 27690208 27776000 27884500 28210000 28553728 28784000 28887040 28999880 29120000 29233750 29363200 29477900 29822000 29935360 30428800 30537728 30657016 30784000 30904250 31645952 31744000 31868000 32116000 32240000 32632832 32886784 32896000 33015248 33142720 33152000 33280000 33281500 33400640 33410000 33670000 34080256 34211840 34478080 34612760 34720000 34855625 35692160 35840000 35980000 36108800 36249850 36704000 36843520 36847375 37277500 37419200 37731712 37888000 38036000 38172160 38321270 38480000 38948864 39557440 39680000 39835000 40145000 40791040 41108480 41120000 41267200 41269060 41428400 41440000 41601875 41750800 42600320 42764800 43097600 43265950 44441600 44615200 45136000 45880000 46054400 46399808 46592000 46774000 46981120 47164640 47360000 47545000 47715200 47896576 48686080 49254400 49446800 50988800 51385600 51584000 51586325 51785500 52188500 52633600 53028352 53043200 53250400 53441024 53456000 53649778 53872000 55380416 55552000 55769000 56420000 57107456 57568000 57774080 57999760 58240000 58467500 58726400 58955800 59644000 59870720 60857600 61075456 61314032 61568000 61808500 63291904 63736000 64232000 64480000 64731875 65235625 65265664 65773568 65792000 66030496 66285440 66304000 66560000 66563000 66801280 66820000 67340000 68160512 68423680 68956160 69225520 69440000 69711250 71384320 71960000 72217600 72499700 73408000 73687040 73694750 74555000 74838400 75463424 76072000 76344320 76642540 76960000 77260625 77897728 79114880 79360000 79670000 80290000 81582080 82216960 82240000 82534400 82538120 82856800 82880000 83203750 83501600 85200640 85529600 86195200 86531900 89230400 90272000 90624625 91760000 92108800 92799616 93184000 93548000 94329280 94720000 95090000 95430400 95793152 95803175 97372160 98508800 98893600 101977600 102771200 103168000 103172650 103571000 104377000 106056704 106500800 106882048 106912000 107299556 107744000 108164875 110760832 111104000 111538000 112840000 114214912 115136000 115548160 115999520 116480000 116935000 117452800 117911600 119288000 119741440 121715200 122150912 122628064 123136000 123617000 126583808 127472000 128464000 128960000 129463750 130471250 131584000 132060992 132570880 132608000 133126000 133602560 133640000 134124445 134680000 136321024 136847360 137912320 138451040 138880000 139422500 142768640 143920000 144435200 144999400 146816000 147389500 149110000 149676800 150926848 152144000 152688640 153285080 153920000 154521250 158229760 158720000 159340000 160580000 163164160 164433920 164480000 165076240 165713600 165760000 166407500 167003200 170401280 171059200 172390400 173063800 178460800 180544000 181249250 183520000 184217600 184236875 185599232 187096000 188658560 189440000 190180000 190860800 191586304 191606350 194744320 197787200 203955200 205542400 206336000 206345300 207142000 208754000 212113408 213001600 213764096 213824000 214599112 215488000 216329750 221521664 222208000 223076000 225680000 228429824 230272000 231999040 232960000 233870000 234905600 235823200 238576000 239482880 243430400 245256128 246272000 247234000 253167616 254944000 256928000 257920000 257931625 258927500 260942500 263168000 264121984 265141760 265216000 266252000 267205120 267280000 268248890 269360000 272642048 276902080 277760000 278845000 285537280 287840000 288870400 289998800 293632000 294779000 298220000 299353600 301853696 304288000 305377280 306570160 307840000 309042500 316459520 318680000 321160000 326328320 328867840 328960000 330152480 331427200 331520000 332815000 334006400 340802560 342118400 344780800 346127600 356921600 361088000 362498500 367040000 368435200 368473750 371198464 374192000 377317120 380360000 381721600 383212700 389488640 395574400 407910400 411084800 412672000 412690600 414284000 417508000 424226816 426003200 427528192 427648000 429198224 430976000 432659500 443043328 446152000 451360000 453123125 456859648 460544000 463998080 465920000 467740000 471646400 477152000 478965760 479015875 486860800 490512256 492544000 494468000 506335232 509888000 513856000 515840000 515863250 517855000 521885000 528243968 530283520 532504000 534410240 534560000 536497780 538720000 540824375 545284096 553804160 555520000 557690000 571074560 575680000 577740800 579997600 587264000 589558000 596440000 598707200 603707392 608576000 610754560 613140320 615680000 618085000 632919040 637360000 642320000 657920000 660304960 662854400 663040000 665630000 668012800 670622225 681605120 684236800 689561600 692255200 713843200 722176000 724997000 734080000 736947500 742396928 748384000 754634240 760720000 763443200 766425400 791148800 815820800 822169600 825381200 828568000 835016000 848453632 852006400 855056384 855296000 858396448 861952000 865319000 886086656 892304000 902720000 906246250 921088000 927996160 935480000 943292800 954304000 957931520 958031750 973721600 981024512 988936000 1012670464 1019776000 1027712000 1031680000 1031726500 1035710000 1043770000 1056487936 1060567040 1065008000 1068820480 1069120000 1072995560 1077440000 1081648750 1107608320 1111040000 1115380000 1142149120 1151360000 1159995200 1174528000 1179116000 1192880000 1197414400 1207414784 1217152000 1226280640 1231360000 1236170000 1265838080 1274720000 1284640000 1289658125 1315840000 1320609920 1325708800 1326080000 1331260000 1336025600 1341244450 1363210240 1384510400 1427686400 1444352000 1449994000 1468160000 1473895000 1484793856 1496768000 1509268480 1521440000 1526886400 1532850800 1582297600 1631641600 1644339200 1650762400 1657136000 1670032000 1704012800 1710592000 1716792896 1723904000 1730638000 1772173312 1784608000 1805440000 1812492500 1842176000 1855992320 1870960000 1886585600 1908608000 1916063500 1947443200 1962049024 1977872000 2039552000 2055424000 2063360000 2063453000 2071420000 2087540000 2112975872 2121134080 2130016000 2137640960 2138240000 2145991120 2154880000 2163297500 2215216640 2230760000 2284298240 2302720000 2319990400 2358232000 2385760000 2394828800 2395079375 2414829568 2434304000 2452561280 2462720000 2472340000 2531676160 2549440000 2569280000 2579316250 2641219840 2651417600 2662520000 2672051200 2682488900 2726420480 2769020800 2855372800 2888704000 2899988000 2936320000 2947790000 2969587712 2993536000 3018536960 3042880000 3053772800 3065701600 3164595200 3301524800 3314272000 3340064000 3353111125 3408025600 3421184000 3433585792 3447808000 3461276000 3544346624 3569216000 3610880000 3624985000 3711984640 3741920000 3773171200 3817216000 3832127000 3924098048 3955744000 4079104000 4110848000 4126906000 4142840000 4175080000 4225951744 4242268160 4260032000 4275281920 4276480000 4291982240 4309760000 4326595000 4430433280 4461520000 4605440000 4639980800 4716464000 4771520000 4789657600 4790158750 4868608000 4905122560 4944680000 5063352320 5098880000 5138560000 5158632500 5282439680 5302835200 5325040000 5344102400 5364977800 5538041600 5710745600 5799976000 5872640000 5895580000 5939175424 5987072000 6037073920 6085760000 6131403200 6329190400 6603049600 6628544000 6680128000 6706222250 6816051200 6867171584 6922552000 7088693248 7138432000 7221760000 7249970000 7423969280 7483840000 7546342400 7634432000 7664254000 7848196096 7911488000 8158208000 8221696000 8253812000 8285680000 8350160000 8451903488 8520064000 8552960000 8583964480 8619520000 8653190000 8860866560 8923040000 9210880000 9279961600 9432928000 9543040000 9580317500 9737216000 9810245120 9889360000 10197760000 10277120000 10317265000 10564879360 10605670400 10650080000 10688204800 10729955600 11076083200 11421491200 11599952000 11791160000 11974144000 12074147840 12171520000 12262806400 12658380800 13206099200 13257088000 13360256000 13412444500 13632102400 13734343168 13845104000 14276864000 14443520000 14499940000 14847938560 14967680000 15092684800 15268864000 15328508000 15696392192 15822976000 16507624000 16571360000 16700320000 16765555625 16903806976 17040128000 17105920000 17167928960 17239040000 17306380000 17721733120 17846080000 18559923200 18865856000 19086080000 19160635000 19620490240 19778720000 20395520000 20554240000 20634530000 21129758720 21211340800 21300160000 21376409600 21459911200 22152166400 23199904000 23582320000 23948288000 24343040000 24525612800 25316761600 26412198400 26514176000 26720512000 26824889000 27468686336 27690208000 28553728000 28999880000 29695877120 29935360000 30185369600 30657016000 31392784384 31645952000 33015248000 33142720000 33400640000 33531111250 34080256000 34335857920 34612760000 35443466240 35692160000 37119846400 37731712000 38172160000 38321270000 39240980480 39557440000 40791040000 41108480000 41269060000 42259517440 42600320000 42919822400 44304332800 46399808000 47164640000 48686080000 49051225600 52824396800 53028352000 53441024000 53649778000 54937372672 55380416000 57107456000 57999760000 59870720000 60370739200 61314032000 63291904000 66030496000 66285440000 66801280000 67062222500 68160512000 68671715840 69225520000 71384320000 74239692800 75463424000 76344320000 76642540000 78481960960 79114880000 82538120000 84519034880 85200640000 85839644800 88608665600 92799616000 94329280000 98102451200 105648793600 106056704000 106882048000 107299556000 109874745344 110760832000 115999520000 119741440000 122628064000 126583808000 132060992000 132570880000 133602560000 134124445000 137343431680 138451040000 142768640000 148479385600 150926848000 153285080000 156963921920 158229760000 165076240000 170401280000 171679289600 177217331200 185599232000 188658560000 196204902400 211297587200 214599112000 219749490688 221521664000 231999040000 245256128000 264121984000 265141760000 267205120000 268248890000 274686863360 276902080000 285537280000 301853696000 306570160000 316459520000 330152480000 340802560000 343358579200 371198464000 377317120000 392409804800 422595174400 429198224000 443043328000 463998080000 490512256000 528243968000 530283520000 534410240000 536497780000 549373726720 553804160000 613140320000 632919040000 660304960000 686717158400 742396928000 754634240000 784819609600 858396448000 886086656000 927996160000 981024512000 1056487936000 1072995560000 1098747453440 1107608320000 1226280640000 1320609920000 1373434316800 1509268480000 1716792896000 1855992320000 1962049024000 2112975872000 2145991120000 2215216640000 2452561280000 2641219840000 2746868633600 3433585792000 3711984640000 3924098048000 4291982240000 4430433280000 4905122560000 5282439680000 5493737267200 6867171584000 8583964480000 9810245120000 10564879360000 13734343168000 17167928960000 19620490240000 27468686336000 34335857920000 68671715840000 137343431680000
- Sum of all divisors σ(n): 449589095036928
- Sum of proper divisors (its aliquot sum) s(n): 312245663356928
- 137343431680000 is an abundant number, because the sum of its proper divisors (312245663356928) is greater than itself. Its abundance is 174902231676928
Bases of 137343431680000
- Binary: 111110011101001110000100111010100100000000000002
- Hexadecimal: 0x7CE9C2752000
- Base-36: 1COMP94BGG
Squares and roots of 137343431680000
- 137343431680000 squared (1373434316800002) is 18863218225638827622400000000
- 137343431680000 cubed (1373434316800003) is 2590739123637957145912391237632000000000000
-
The
square root of 137343431680000 is 11719361.4023973167 -
The
cube root of 137343431680000 is 51594.4077428067
Scales and comparisons
How big is 137343431680000?- 137,343,431,680,000 seconds is equal to 4,367,096 years, 15 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 137,343,431,680,000 would take you about ten million, nine hundred seventeen thousand, seven hundred forty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137343431680000 cubic inches would be around 4299.5 feet tall.
Recreational maths with 137343431680000
- 137343431680000 backwards is 000086134343731
- The number of decimal digits it has is: 15
- The sum of 137343431680000's digits is 43
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137343431680000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 137343431680000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/137343431680000/
Chicago style:
Numbermatics. 2024. "Number 137343431680000 - Facts about the integer". https://numbermatics.com/n/137343431680000/
The information we have on file for 137343431680000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137343431680000, math, Factors of 137343431680000, curriculum, school, college, exams, university, Prime factorization of 137343431680000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred forty-three billion, four hundred thirty-one million, six hundred eighty thousand.