38145271840000
38,145,271,840,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38145271840000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
38145271840000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 38145271840000:
28 × 54 × 13 × 172 × 23 × 31 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 17 × 17 × 23 × 31 × 89)See below for interesting mathematical facts about the number 38145271840000 from the Numbermatics database.
Names of 38145271840000
- Cardinal: 38145271840000 can be written as Thirty-eight trillion, one hundred forty-five billion, two hundred seventy-one million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 3.814527184 × 1013
Factors of 38145271840000
Divisors of 38145271840000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 23 25 26 31 32 34 40 46 50 52 62 64 65 68 80 85 89 92 100 104 115 124 125 128 130 136 155 160 170 178 184 200 208 221 230 248 250 256 260 272 289 299 310 320 325 340 356 368 391 400 403 416 425 442 445 460 496 500 520 527 544 575 578 598 620 625 640 650 680 712 713 736 775 782 800 806 832 850 884 890 920 992 1000 1040 1054 1088 1105 1150 1156 1157 1196 1240 1250 1280 1300 1360 1424 1426 1445 1472 1495 1513 1550 1564 1600 1612 1625 1664 1700 1768 1780 1840 1955 1984 2000 2015 2047 2080 2108 2125 2176 2210 2225 2300 2312 2314 2392 2480 2500 2600 2635 2720 2759 2848 2852 2875 2890 2944 2990 3026 3100 3128 3200 3224 3250 3328 3400 3536 3560 3565 3680 3757 3875 3910 3968 4000 4030 4094 4160 4216 4250 4352 4420 4450 4600 4624 4628 4784 4960 5000 5083 5200 5270 5440 5518 5525 5696 5704 5750 5780 5785 5888 5980 6052 6200 6256 6400 6448 6500 6647 6800 6851 7072 7120 7130 7225 7360 7475 7514 7565 7750 7820 7936 8000 8060 8125 8188 8320 8432 8500 8840 8900 8959 9200 9248 9256 9269 9568 9775 9920 10000 10075 10166 10235 10400 10540 10625 10880 11036 11050 11125 11392 11408 11500 11560 11570 11960 12104 12121 12400 12512 12896 13000 13175 13294 13600 13702 13795 14144 14240 14260 14375 14450 14720 14950 15028 15130 15500 15640 16000 16120 16250 16376 16640 16864 17000 17680 17800 17825 17918 18400 18496 18512 18538 18785 19136 19375 19550 19669 19840 20000 20150 20332 20470 20800 21080 21250 21760 22072 22100 22250 22784 22816 23000 23120 23140 23920 24208 24242 24800 25024 25415 25721 25792 26000 26350 26588 26611 27200 27404 27590 27625 28288 28480 28520 28750 28900 28925 29440 29900 30056 30260 31000 31280 32000 32240 32500 32752 33235 33728 34000 34255 34799 35360 35600 35650 35836 35867 36125 36800 36992 37024 37076 37375 37570 37825 38272 38750 39100 39338 39680 40000 40300 40664 40940 41600 42160 42500 44144 44200 44500 44795 45632 46000 46240 46280 46345 46903 47840 48416 48484 48875 49600 50048 50375 50830 51175 51442 51584 52000 52700 53176 53222 54400 54808 55180 55250 55625 56576 56960 57040 57500 57800 57850 59800 60112 60520 60605 62000 62560 63457 64480 65000 65504 65875 66470 67456 68000 68510 68975 69598 70720 71200 71300 71672 71734 72250 73600 73984 74048 74152 74750 75140 75650 76544 77500 78200 78676 80000 80600 81328 81880 83200 84320 85000 86411 88288 88400 89000 89125 89590 91264 92000 92480 92560 92690 93806 93925 95680 96832 96968 97750 98345 99200 100096 100750 101660 102350 102884 103168 104000 105400 106352 106444 108800 109616 110360 110500 111250 113920 114080 115000 115600 115700 116467 119600 120224 121040 121210 124000 125120 126914 127075 128605 128960 130000 131008 131750 132940 133055 134912 136000 137020 137950 138125 139196 141440 142400 142600 143344 143468 144500 144625 147200 148096 148304 149500 150280 151300 155000 156400 157352 157573 160000 161200 162656 163760 166175 168640 170000 171275 172822 173995 176576 176800 178000 178250 179180 179335 180625 182528 184000 184960 185120 185380 186875 187612 187850 189125 191360 193664 193936 195500 196690 198400 201500 203320 204700 205768 206057 208000 210800 212704 212888 219232 220720 221000 222500 223975 228160 230000 231200 231400 231725 232934 234515 239200 240448 242080 242420 244375 248000 250240 251875 253828 254150 255875 257210 257920 260000 262016 263500 265880 266110 272000 274040 275900 276250 278392 282880 284800 285200 286688 286936 289000 289250 296192 296608 299000 300560 302600 303025 310000 312800 314704 315146 317285 322400 325312 327520 329375 332350 334373 337280 340000 342550 344875 345644 347990 353152 353600 356000 356500 358360 358670 361250 368000 369920 370240 370760 373750 375224 375700 378250 382720 387328 387872 391000 393380 403000 406640 409400 411536 412114 416000 421600 425408 425776 432055 438464 441440 442000 445000 445625 447950 452387 456320 460000 462400 462800 463450 465868 469030 469625 478400 480896 484160 484840 488750 491725 496000 500480 503750 507656 508300 511750 514420 515840 520000 524032 527000 531760 532220 544000 548080 551800 552500 556784 569600 570400 573376 573872 578000 578500 582335 591583 593216 598000 601120 605200 606050 609739 620000 625600 629408 630292 634570 635375 643025 644800 650624 655040 658750 664700 665275 668746 674560 680000 685100 689750 691288 695980 706304 707200 712000 713000 716720 717340 722500 723125 736000 740480 741520 747500 750448 751400 756500 775744 782000 786760 787865 797351 806000 813280 818800 823072 824228 824941 830875 843200 850816 851552 856375 864110 869975 876928 882880 884000 890000 891250 895900 896675 904774 912640 920000 924800 925600 926900 931736 938060 939250 945625 956800 961792 968320 969680 977500 983450 992000 1007500 1015312 1016600 1023500 1028840 1030285 1040000 1054000 1063520 1064440 1078769 1096160 1103600 1105000 1113568 1119875 1140800 1146752 1147744 1156000 1157000 1158625 1164670 1172575 1183166 1186432 1196000 1202240 1210400 1212100 1219478 1240000 1251200 1258816 1260584 1269140 1270750 1279375 1286050 1289600 1301248 1310080 1317500 1329400 1330550 1337492 1360000 1370200 1379500 1382576 1391960 1414400 1424000 1426000 1433440 1434680 1445000 1446250 1480960 1483040 1495000 1500896 1502800 1513000 1515125 1551488 1564000 1573520 1575730 1586425 1594702 1612000 1626560 1637600 1646144 1648456 1649882 1661750 1671865 1686400 1701632 1703104 1712750 1724375 1728220 1739950 1753856 1765760 1768000 1780000 1782500 1791800 1793350 1809548 1840000 1849600 1851200 1853800 1863472 1876120 1878500 1891250 1913600 1936640 1939360 1955000 1966900 2015000 2030624 2033200 2047000 2057680 2060570 2080000 2108000 2127040 2128880 2157538 2160275 2192320 2207200 2210000 2227136 2239750 2261935 2281600 2293504 2295488 2312000 2314000 2317250 2329340 2345150 2348125 2366332 2372864 2392000 2404480 2420800 2424200 2438956 2458625 2480000 2502400 2517632 2521168 2538280 2541500 2558750 2572100 2579200 2620160 2635000 2658800 2661100 2674984 2678741 2720000 2740400 2759000 2765152 2783920 2848000 2852000 2866880 2869360 2890000 2892500 2911675 2957915 2966080 2990000 3001792 3005600 3026000 3030250 3048695 3102976 3128000 3147040 3151460 3172850 3176875 3189404 3215125 3224000 3253120 3275200 3292288 3296912 3299764 3323500 3326375 3343730 3372800 3406208 3425500 3448750 3456440 3479900 3531520 3536000 3560000 3565000 3583600 3586700 3619096 3680000 3702400 3707600 3726944 3752240 3757000 3782500 3878720 3910000 3933800 3939325 3986755 4030000 4061248 4066400 4094000 4115360 4121140 4124705 4154375 4216000 4254080 4257760 4281875 4315076 4320550 4349875 4384640 4414400 4420000 4454272 4479500 4483375 4523870 4563200 4590976 4624000 4628000 4634500 4658680 4690300 4696250 4732664 4784000 4808960 4841600 4848400 4877912 4917250 4960000 5035264 5042336 5076560 5083000 5117500 5144200 5151425 5270000 5317600 5322200 5349968 5357482 5393845 5480800 5518000 5530304 5567840 5599375 5704000 5733760 5738720 5780000 5785000 5793125 5823350 5862875 5915830 5932160 5980000 6003584 6011200 6052000 6060500 6097390 6256000 6294080 6302920 6345700 6353750 6378808 6430250 6448000 6506240 6550400 6584576 6593824 6599528 6647000 6652750 6687460 6812416 6851000 6897500 6912880 6959800 7072000 7120000 7130000 7167200 7173400 7238192 7404800 7415200 7453888 7504480 7514000 7565000 7575625 7690579 7757440 7820000 7867600 7878650 7932125 7973510 8060000 8122496 8132800 8188000 8230720 8242280 8249410 8308750 8359325 8432000 8508160 8515520 8563750 8630152 8641100 8699750 8769280 8828800 8840000 8908544 8959000 8966750 9047740 9181952 9248000 9256000 9269000 9317360 9380600 9392500 9465328 9568000 9683200 9696800 9755824 9834500 10084672 10153120 10166000 10235000 10288400 10302850 10365563 10540000 10635200 10644400 10699936 10714964 10787690 10801375 10961600 11036000 11060608 11135680 11198750 11309675 11408000 11467520 11477440 11560000 11570000 11586250 11646700 11725750 11831660 11864320 11960000 12007168 12022400 12104000 12121000 12194780 12293125 12512000 12588160 12605840 12691400 12707500 12757616 12860500 12896000 13100800 13187648 13199056 13294000 13305500 13374920 13393705 13702000 13795000 13825760 13919600 14023997 14240000 14260000 14334400 14346800 14476384 14558375 14789575 14830400 14907776 15008960 15028000 15130000 15151250 15243475 15381158 15514880 15640000 15735200 15757300 15864250 15947020 16075625 16120000 16244992 16265600 16376000 16461440 16484560 16498820 16617500 16631875 16718650 16864000 17031040 17127500 17260304 17282200 17399500 17657600 17680000 17918000 17933500 18095480 18339073 18512000 18538000 18634720 18761200 18785000 18930656 19393600 19511648 19669000 19696625 19933775 20169344 20306240 20332000 20470000 20576800 20605700 20623525 20731126 21080000 21270400 21288800 21399872 21429928 21575380 21602750 21749375 21923200 22072000 22121216 22271360 22397500 22416875 22619350 22816000 22954880 23120000 23140000 23172500 23293400 23451500 23663320 23920000 24044800 24208000 24242000 24389560 24586250 25176320 25211680 25382800 25415000 25515232 25721000 25757125 26375296 26398112 26588000 26611000 26749840 26787410 26969225 27404000 27590000 27651520 27839200 28047994 28520000 28668800 28693600 28952768 29116750 29314375 29579150 29660800 29815552 30017920 30056000 30260000 30302500 30486950 30762316 31280000 31470400 31514600 31728500 31894040 32151250 32240000 32531200 32752000 32922880 32969120 32997640 33235000 33263750 33437300 34062080 34255000 34520608 34564400 34799000 35360000 35836000 35867000 36190960 36678146 37024000 37076000 37269440 37522400 37570000 37861312 38452895 38787200 39023296 39338000 39393250 39660625 39867550 40338688 40612480 40664000 40940000 41153600 41211400 41247050 41462252 41796625 42160000 42540800 42577600 42799744 42859856 43150760 43205500 43498750 43846400 44144000 44542720 44795000 44833750 45238700 45909760 46240000 46280000 46345000 46586800 46903000 47326640 47840000 48416000 48484000 48779120 49172500 50423360 50765600 50830000 51030464 51442000 51514250 51827815 52750592 52796224 53176000 53222000 53499680 53574820 53938450 54006875 54808000 55180000 55303040 55678400 56095988 56548375 57040000 57337600 57387200 57905536 58233500 58628750 59158300 59321600 60035840 60112000 60520000 60605000 60973900 61524632 62560000 62940800 63029200 63457000 63788080 64302500 64480000 65504000 65938240 65995280 66470000 66527500 66874600 66968525 68510000 69041216 69128800 69598000 70119985 71672000 71734000 72381920 72791875 73356292 73947875 74152000 74538880 75044800 75140000 75722624 76217375 76905790 77574400 78046592 78676000 78786500 79321250 79735100 81224960 81328000 81880000 82307200 82422800 82494100 82924504 83593250 84320000 85155200 85599488 85719712 86301520 86411000 86997500 88288000 89590000 89667500 90477400 91695365 92560000 92690000 93173600 93806000 94653280 96968000 97558240 98345000 98483125 99668875 100846720 101531200 101660000 102060928 102884000 103028500 103117625 103655630 105592448 106352000 106444000 106999360 107149640 107876900 108013750 109616000 110360000 110606080 111356800 112191976 113096750 114080000 114774400 115811072 116467000 117257500 118316600 120224000 121040000 121210000 121947800 123049264 125881600 126058400 126914000 127576160 128605000 128785625 131876480 131990560 132940000 133055000 133749200 133937050 134846125 137020000 138082432 138257600 139196000 140239970 143344000 143468000 144763840 145583750 146712584 147895750 148304000 149077760 150089600 150280000 151445248 152434750 153811580 156093184 157352000 157573000 158642500 159470200 162656000 163760000 164614400 164845600 164988200 165849008 167186500 170310400 171439424 172603040 172822000 173995000 179180000 179335000 180954800 183390730 185120000 185380000 186347200 187612000 189306560 192264475 193936000 195116480 196690000 196966250 199337750 201693440 203062400 203320000 204121856 205768000 206057000 206235250 207311260 208983125 211184896 212704000 212888000 213998720 214299280 215753800 216027500 219232000 220720000 222713600 224383952 226193500 229548800 232934000 234515000 236633200 238407949 242080000 242420000 243895600 246098528 252116800 253828000 255152320 257210000 257571250 259139075 263752960 263981120 265880000 266110000 267498400 267874100 269692250 274040000 276164864 276515200 278392000 280479940 282741875 286688000 286936000 289527680 291167500 293425168 295791500 296608000 300179200 300560000 304869500 307623160 314704000 315146000 317285000 318940400 327520000 329691200 329976400 331698016 334373000 334842625 342878848 345206080 345644000 347990000 350599925 358360000 358670000 361909600 366781460 369739375 370760000 372694400 375224000 378613120 381086875 384528950 387872000 390232960 393380000 393932500 398675500 406124800 406640000 411536000 412114000 412470500 414622520 417966250 425776000 427997440 428598560 431507600 432055000 441440000 448767904 452387000 458476825 465868000 469030000 473266400 476815898 484840000 487791200 492197056 498344375 504233600 507656000 510304640 514420000 515142500 515588125 518278150 527962240 531760000 532220000 534996800 535748200 539384500 548080000 553030400 556784000 560959880 565483750 573872000 579055360 582335000 586850336 591583000 601120000 609739000 615246320 629408000 630292000 634570000 637880800 659382400 659952800 663396032 668746000 669685250 674230625 685757696 690412160 691288000 695980000 701199850 716720000 717340000 723819200 733562920 739478750 741520000 745388800 750448000 757226240 762173750 769057900 780465920 786760000 787865000 797351000 813280000 823072000 824228000 824941000 829245040 835932500 851552000 857197120 863015200 864110000 897535808 904774000 916953650 931736000 938060000 946532800 953631796 961322375 969680000 975582400 984394112 996688750 1008467200 1015312000 1020609280 1028840000 1030285000 1031176250 1036556300 1055924480 1063520000 1064440000 1069993600 1071496400 1078769000 1096160000 1113568000 1121919760 1130967500 1147744000 1164670000 1173700672 1183166000 1192039745 1219478000 1230492640 1260584000 1269140000 1275761600 1295695375 1318764800 1319905600 1326792064 1337492000 1339370500 1348461250 1380824320 1382576000 1391960000 1402399700 1433440000 1434680000 1447638400 1467125840 1478957500 1483040000 1500896000 1524347500 1538115800 1573520000 1575730000 1594702000 1648456000 1649882000 1658490080 1671865000 1674213125 1714394240 1726030400 1728220000 1752999625 1795071616 1809548000 1833907300 1863472000 1876120000 1893065600 1907263592 1922644750 1939360000 1951164800 1968788224 1993377500 2030624000 2057680000 2060570000 2062352500 2073112600 2128880000 2139987200 2142992800 2157538000 2243839520 2261935000 2292384125 2329340000 2347401344 2366332000 2384079490 2438956000 2460985280 2521168000 2538280000 2551523200 2591390750 2639811200 2653584128 2674984000 2678741000 2696922500 2765152000 2783920000 2804799400 2869360000 2895276800 2934251680 2957915000 3048695000 3076231600 3147040000 3151460000 3189404000 3296912000 3299764000 3316980160 3343730000 3348426250 3428788480 3452060800 3456440000 3505999250 3590143232 3619096000 3667814600 3726944000 3752240000 3786131200 3814527184 3845289500 3902329600 3986755000 4115360000 4121140000 4124705000 4146225200 4257760000 4285985600 4315076000 4487679040 4523870000 4584768250 4658680000 4694802688 4732664000 4768158980 4806611875 4877912000 4921970560 5042336000 5076560000 5103046400 5182781500 5279622400 5349968000 5357482000 5393845000 5567840000 5609598800 5738720000 5868503360 5915830000 5960198725 6097390000 6152463200 6302920000 6378808000 6478476875 6593824000 6599528000 6633960320 6687460000 6696852500 6904121600 6912880000 7011998500 7238192000 7335629200 7504480000 7629054368 7690579000 7973510000 8242280000 8249410000 8292450400 8571971200 8630152000 8764998125 8975358080 9047740000 9169536500 9317360000 9465328000 9536317960 9613223750 9755824000 9843941120 10153120000 10365563000 10699936000 10714964000 10787690000 11219197600 11461920625 11737006720 11831660000 11920397450 12194780000 12304926400 12605840000 12757616000 12956953750 13199056000 13267920640 13374920000 13393705000 13825760000 14023997000 14476384000 14671258400 15258108736 15381158000 15947020000 16484560000 16498820000 16584900800 17143942400 17260304000 17529996250 17950716160 18095480000 18339073000 18634720000 18930656000 19072635920 19226447500 19511648000 20731126000 21429928000 21575380000 22438395200 22923841250 23474013440 23663320000 23840794900 24389560000 24609852800 25211680000 25515232000 25913907500 26398112000 26749840000 26787410000 28047994000 29342516800 29800993625 30516217472 30762316000 31894040000 32969120000 32997640000 33169801600 34520608000 35059992500 36190960000 36678146000 38145271840 38452895000 41462252000 42859856000 43150760000 44876790400 45847682500 47326640000 47681589800 48779120000 49219705600 51827815000 53499680000 53574820000 56095988000 58685033600 59601987250 61032434944 61524632000 63788080000 65995280000 66339603200 70119985000 72381920000 73356292000 76290543680 76905790000 82924504000 85719712000 86301520000 89753580800 91695365000 94653280000 95363179600 97558240000 103655630000 107149640000 112191976000 117370067200 119203974500 123049264000 127576160000 131990560000 140239970000 146712584000 149004968125 152581087360 153811580000 165849008000 172603040000 183390730000 190726359200 207311260000 214299280000 224383952000 238407949000 246098528000 280479940000 293425168000 298009936250 305162174720 307623160000 331698016000 366781460000 381452718400 414622520000 428598560000 448767904000 476815898000 560959880000 586850336000 596019872500 615246320000 733562920000 762905436800 829245040000 953631796000 1121919760000 1192039745000 1230492640000 1467125840000 1525810873600 1658490080000 1907263592000 2243839520000 2384079490000 2934251680000 3814527184000 4768158980000 7629054368000 9536317960000 19072635920000 38145271840000
- Sum of all divisors σ(n): 118561060316160
- Sum of proper divisors (its aliquot sum) s(n): 80415788476160
- 38145271840000 is an abundant number, because the sum of its proper divisors (80415788476160) is greater than itself. Its abundance is 42270516636160
Bases of 38145271840000
- Binary: 10001010110001011000110110000010111101000000002
- Hexadecimal: 0x22B16360BD00
- Base-36: DIRP1YZGG
Squares and roots of 38145271840000
- 38145271840000 squared (381452718400002) is 1455061763747496985600000000
- 38145271840000 cubed (381452718400003) is 55503726522138129635292565504000000000000
-
The
square root of 38145271840000 is 6176185.8650788675 -
The
cube root of 38145271840000 is 33662.5417255565
Scales and comparisons
How big is 38145271840000?- 38,145,271,840,000 seconds is equal to 1,212,901 years, 33 weeks, 6 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 38,145,271,840,000 would take you about three million, thirty-two thousand, two hundred fifty-four 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 38145271840000 cubic inches would be around 2805.2 feet tall.
Recreational maths with 38145271840000
- 38145271840000 backwards is 00004817254183
- The number of decimal digits it has is: 14
- The sum of 38145271840000'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 38145271840000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
APA style:
Numbermatics. (2024). Number 38145271840000 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/38145271840000/
Chicago style:
Numbermatics. 2024. "Number 38145271840000 - Facts about the integer". https://numbermatics.com/n/38145271840000/
The information we have on file for 38145271840000 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 38145271840000, math, Factors of 38145271840000, curriculum, school, college, exams, university, Prime factorization of 38145271840000, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight trillion, one hundred forty-five billion, two hundred seventy-one million, eight hundred forty thousand.