13146129792000
13,146,129,792,000 is an even composite number composed of six prime numbers multiplied together.
13146129792000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13146129792000:
210 × 33 × 53 × 192 × 41 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 41 × 257)See below for interesting mathematical facts about the number 13146129792000 from the Numbermatics database.
Names of 13146129792000
- Cardinal: 13146129792000 can be written as Thirteen trillion, one hundred forty-six billion, one hundred twenty-nine million, seven hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.3146129792 × 1013
Factors of 13146129792000
Divisors of 13146129792000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 41 45 48 50 54 57 60 64 72 75 76 80 82 90 95 96 100 108 114 120 123 125 128 135 144 150 152 160 164 171 180 190 192 200 205 216 225 228 240 246 250 256 257 270 285 288 300 304 320 328 342 360 361 369 375 380 384 400 410 432 450 456 475 480 492 500 512 513 514 540 570 576 600 608 615 640 656 675 684 720 722 738 750 760 768 771 779 800 820 855 864 900 912 950 960 984 1000 1024 1025 1026 1028 1080 1083 1107 1125 1140 1152 1200 1216 1230 1280 1285 1312 1350 1368 1425 1440 1444 1476 1500 1520 1536 1542 1558 1600 1640 1710 1728 1800 1805 1824 1845 1900 1920 1968 2000 2050 2052 2056 2160 2166 2214 2250 2280 2304 2313 2337 2375 2400 2432 2460 2560 2565 2570 2624 2700 2736 2850 2880 2888 2952 3000 3040 3072 3075 3084 3116 3200 3249 3280 3375 3420 3456 3600 3610 3648 3690 3800 3840 3855 3895 3936 4000 4100 4104 4112 4275 4320 4332 4428 4500 4560 4608 4626 4674 4750 4800 4864 4883 4920 5120 5125 5130 5140 5248 5400 5415 5472 5535 5700 5760 5776 5904 6000 6080 6150 6168 6232 6400 6425 6498 6560 6750 6840 6912 6939 7011 7125 7200 7220 7296 7380 7600 7680 7710 7790 7872 8000 8200 8208 8224 8550 8640 8664 8856 9000 9025 9120 9216 9225 9252 9348 9500 9600 9728 9747 9766 9840 10250 10260 10280 10496 10537 10800 10830 10944 11070 11400 11520 11552 11565 11685 11808 12000 12160 12300 12336 12464 12800 12825 12850 12996 13120 13500 13680 13824 13878 14022 14250 14400 14440 14592 14649 14760 14801 15200 15360 15375 15420 15580 15744 16000 16245 16400 16416 16448 17100 17280 17328 17712 18000 18050 18240 18450 18504 18696 19000 19200 19275 19456 19475 19494 19532 19680 20500 20520 20560 20992 21033 21074 21375 21600 21660 21888 22140 22800 23040 23104 23130 23370 23616 24000 24320 24415 24600 24672 24928 25600 25650 25700 25992 26240 27000 27075 27360 27648 27675 27756 28044 28500 28800 28880 29184 29298 29520 29602 30400 30750 30840 31160 31488 31611 32000 32125 32490 32800 32832 32896 34200 34560 34656 34695 35055 35424 36000 36100 36480 36900 37008 37392 38000 38400 38550 38950 38988 39064 39360 41000 41040 41120 41984 42066 42148 42750 43200 43320 43776 43947 44280 44403 45125 45600 46080 46125 46208 46260 46740 47232 48000 48640 48735 48830 49200 49344 49856 51300 51400 51984 52480 52685 54000 54150 54720 55350 55512 56088 57000 57600 57760 57825 58368 58425 58596 59040 59204 60800 61500 61680 62320 62976 63222 64000 64125 64250 64980 65600 65664 65792 68400 69120 69312 69390 70110 70848 72000 72200 72960 73245 73800 74005 74016 74784 76000 76800 77100 77900 77976 78128 78720 81225 82000 82080 82240 84132 84296 85500 86400 86640 87552 87894 88560 88806 90250 91200 92250 92416 92520 92777 93480 94464 94833 96000 96375 97280 97375 97470 97660 98400 98688 99712 102600 102800 103968 104960 105165 105370 108000 108300 109440 110700 111024 112176 114000 115200 115520 115650 116850 117192 118080 118408 121600 122075 123000 123360 124640 125952 126444 128000 128250 128500 129960 131200 131328 131584 131841 133209 135375 136800 138240 138375 138624 138780 140220 141696 144000 144400 145920 146490 147600 148010 148032 149568 152000 154200 155800 155952 156256 157440 158055 162450 164000 164160 164480 168264 168592 171000 172800 173280 173475 175104 175275 175788 177120 177612 180500 182400 184500 184832 185040 185554 186960 188928 189666 192000 192750 194750 194940 195320 196800 197376 199424 200203 205200 205600 207936 209920 210330 210740 216000 216600 218880 219735 221400 222015 222048 224352 228000 230400 231040 231300 233700 234384 236160 236816 243200 243675 244150 246000 246720 249280 252888 256500 257000 259920 262400 262656 263168 263425 263682 266418 270750 273600 276750 277248 277560 278331 280440 283392 284499 288000 288800 289125 291840 292125 292980 295200 296020 296064 299136 304000 308400 311600 311904 312512 314880 316110 324900 328000 328320 328960 336528 337184 342000 345600 346560 346950 350550 351576 354240 355224 361000 364800 366225 369000 369664 370025 370080 371108 373920 377856 379332 384000 385500 389500 389880 390640 393600 394752 398848 399627 400406 406125 410400 411200 415872 420660 421480 432000 433200 437760 439470 442800 444030 444096 448704 456000 462080 462600 463885 467400 468768 472320 473632 474165 486400 487350 488300 492000 493440 498560 505776 513000 514000 519840 524800 525312 525825 526850 527364 532836 541500 547200 553500 554496 555120 556662 560880 566784 568998 576000 577600 578250 584250 585960 590400 592040 592128 598272 600609 608000 610375 616800 623200 623808 625024 629760 632220 649800 656000 656640 657920 659205 666045 673056 674368 684000 691200 693120 693900 701100 703152 708480 710448 722000 729600 732450 738000 740050 740160 742216 747840 758664 771000 779000 779760 781280 787200 789504 790275 797696 799254 800812 812250 820800 822400 831744 834993 841320 842960 864000 866400 867375 875520 876375 878940 885600 888060 888192 897408 912000 924160 925200 927770 934800 937536 944640 947264 948330 974700 976600 984000 986880 997120 1001015 1011552 1026000 1028000 1039680 1049600 1051650 1053700 1054728 1065672 1083000 1094400 1098675 1107000 1108992 1110075 1110240 1113324 1121760 1133568 1137996 1152000 1155200 1156500 1168500 1171920 1180800 1184080 1184256 1196544 1201218 1216000 1218375 1220750 1233600 1246400 1247616 1250048 1264440 1299600 1312000 1313280 1315840 1317125 1318410 1332090 1346112 1348736 1368000 1386240 1387800 1391655 1402200 1406304 1416960 1420896 1422495 1444000 1459200 1464900 1476000 1480100 1480320 1484432 1495680 1517328 1542000 1558000 1559520 1562560 1574400 1580550 1598508 1601624 1624500 1641600 1644800 1663488 1669986 1682640 1685920 1728000 1732800 1734750 1752750 1757880 1771200 1776120 1776384 1794816 1801827 1824000 1831125 1848320 1850125 1850400 1855540 1869600 1875072 1889280 1894528 1896660 1949400 1953200 1968000 1973760 1994240 1998135 2002030 2023104 2052000 2056000 2079360 2103300 2107400 2109456 2131344 2166000 2188800 2197350 2214000 2220150 2220480 2226648 2243520 2275992 2310400 2313000 2319425 2337000 2343840 2361600 2368160 2368512 2370825 2393088 2402436 2432000 2436750 2441500 2467200 2492800 2495232 2500096 2504979 2528880 2599200 2624000 2626560 2629125 2634250 2636820 2664180 2692224 2697472 2736000 2772480 2775600 2783310 2804400 2812608 2833920 2841792 2844990 2888000 2929800 2952000 2960200 2960640 2968864 2991360 3003045 3034656 3084000 3116000 3119040 3125120 3148800 3161100 3197016 3203248 3249000 3283200 3289600 3296025 3326976 3330225 3339972 3365280 3371840 3456000 3465600 3469500 3505500 3515760 3542400 3552240 3552768 3589632 3603654 3648000 3662250 3700250 3700800 3711080 3739200 3750144 3789056 3793320 3803857 3898800 3906400 3936000 3947520 3951375 3988480 3996270 4004060 4046208 4104000 4112000 4158720 4174965 4206600 4214800 4218912 4262688 4332000 4377600 4394700 4428000 4440300 4440960 4453296 4487040 4551984 4620800 4626000 4638850 4674000 4687680 4723200 4736320 4741650 4804872 4873500 4883000 4934400 4985600 4990464 5000192 5005075 5009958 5057760 5198400 5248000 5258250 5268500 5273640 5328360 5384448 5394944 5405481 5472000 5493375 5544960 5550375 5551200 5566620 5608800 5625216 5667840 5683584 5689980 5776000 5859600 5904000 5920400 5921280 5937728 5982720 6006090 6069312 6168000 6232000 6238080 6250240 6322200 6394032 6406496 6498000 6566400 6579200 6592050 6660450 6679944 6730560 6743680 6931200 6939000 6958275 7011000 7031520 7084800 7104480 7105536 7112475 7179264 7207308 7296000 7324500 7400500 7401600 7422160 7478400 7500288 7578112 7586640 7607714 7797600 7812800 7872000 7902750 7992540 8008120 8092416 8208000 8224000 8317440 8349930 8413200 8429600 8437824 8525376 8664000 8789400 8856000 8880600 8881920 8906592 8974080 9009135 9103968 9241600 9252000 9277700 9348000 9375360 9446400 9472640 9483300 9609744 9747000 9766000 9868800 9971200 9980928 9990675 10010150 10019916 10115520 10396800 10516500 10537000 10547280 10656720 10768896 10789888 10810962 10944000 10986750 11100750 11102400 11133240 11217600 11250432 11367168 11379960 11411571 11552000 11597125 11719200 11808000 11840800 11842560 11854125 11875456 11965440 12012180 12138624 12336000 12464000 12476160 12500480 12524895 12644400 12788064 12812992 12996000 13132800 13184100 13320900 13359888 13461120 13487360 13862400 13878000 13916550 14022000 14063040 14169600 14208960 14224950 14414616 14649000 14801000 14803200 14844320 14956800 15000576 15015225 15156224 15173280 15215428 15595200 15625600 15744000 15805500 15985080 16016240 16184832 16416000 16448000 16480125 16634880 16651125 16699860 16826400 16859200 16875648 17050752 17328000 17578800 17712000 17761200 17763840 17813184 17948160 18018270 18207936 18504000 18555400 18696000 18750720 18945280 18966600 19019285 19219488 19494000 19532000 19737600 19942400 19981350 20020300 20039832 20231040 20793600 20874825 21033000 21074000 21094560 21313440 21537792 21621924 21888000 21973500 22201500 22204800 22266480 22435200 22500864 22734336 22759920 22823142 23104000 23194250 23438400 23616000 23681600 23708250 23750912 24024360 24277248 24672000 24928000 24952320 25000960 25025375 25049790 25288800 25576128 25625984 25992000 26368200 26641800 26719776 26922240 26974720 27027405 27724800 27756000 27833100 28044000 28126080 28339200 28417920 28449900 28829232 29298000 29602000 29606400 29688640 29913600 30030450 30346560 30430856 31190400 31251200 31611000 31970160 32032480 32369664 32832000 32896000 32960250 33302250 33399720 33652800 33718400 33751296 34101504 34234713 34656000 34791375 35157600 35424000 35522400 35527680 35562375 35626368 35896320 36036540 36415872 37008000 37110800 37392000 37501440 37890560 37933200 38038570 38438976 38988000 39064000 39962700 40040600 40079664 40462080 41587200 41749650 42066000 42148000 42189120 42626880 43243848 43947000 44403000 44409600 44532960 44870400 45001728 45045675 45468672 45519840 45646284 46208000 46388500 46876800 47232000 47363200 47416500 47501824 48048720 48554496 49344000 49856000 49904640 49953375 50050750 50099580 50577600 51152256 51251968 51984000 52736400 53283600 53439552 53844480 53949440 54054810 55512000 55666200 56088000 56252160 56835840 56899800 57057855 57658464 58596000 59204000 59212800 59377280 59827200 60060900 60693120 60861712 62380800 62502400 62624475 63222000 63940320 64064960 65664000 65920500 66604500 66799440 67305600 67436800 67502592 68203008 68469426 69312000 69582750 70315200 70848000 71044800 71124750 71252736 72073080 72831744 74016000 74221600 74784000 75002880 75076125 75781120 75866400 76077140 76877952 77976000 78128000 79925400 80081200 80159328 80924160 83174400 83499300 84132000 84296000 84378240 85253760 86487696 87894000 88806000 88819200 89065920 89740800 90091350 91039680 91292568 92777000 93753600 94726400 94833000 95003648 95096425 96097440 97108992 98688000 99712000 99906750 100101500 100199160 101155200 102304512 102503936 102704139 103968000 104374125 105472800 106567200 106879104 107688960 108109620 111024000 111332400 112176000 112504320 113671680 113799600 114115710 115316928 117192000 118408000 118754560 120121800 121386240 121723424 124761600 125004800 125248950 126444000 127880640 128129920 131841000 133209000 133598880 134611200 134873600 135005184 135137025 136406016 136938852 138624000 139165500 140630400 141696000 142089600 142249500 142505472 144146160 145663488 148032000 148443200 149568000 150152250 151732800 152154280 153755904 155952000 156256000 159850800 160162400 160318656 161848320 166998600 168264000 168592000 168756480 170507520 171173565 172975392 175788000 177612000 177638400 178131840 179481600 180182700 182079360 182585136 185554000 187507200 189452800 189666000 190192850 192194880 199813500 200203000 200398320 202310400 204609024 205007872 205408278 207936000 208748250 210945600 213134400 213758208 216219240 222048000 222664800 224352000 225008640 225228375 227343360 227599200 228231420 230633856 234384000 236816000 237509120 240243600 242772480 243446848 249523200 250497900 252888000 255761280 256259840 263682000 266418000 267197760 269222400 269747200 270274050 273877704 278331000 281260800 284179200 284499000 285010944 285289275 288292320 291326976 296064000 296886400 299136000 300304500 303465600 304308560 307511808 311904000 312512000 313122375 319701600 320324800 320637312 333997200 336528000 337184000 337512960 341015040 342347130 345950784 351576000 355224000 356263680 360365400 364158720 365170272 371108000 375014400 378905600 379332000 380385700 384389760 399627000 400406000 400796640 404620800 409218048 410816556 415872000 417496500 421891200 426268800 427516416 432438480 444096000 445329600 448704000 450456750 455198400 456462840 461267712 468768000 473632000 475018240 475482125 480487200 485544960 486893696 500995800 505776000 511522560 512519680 513520695 527364000 532836000 534395520 538444800 540548100 547755408 556662000 562521600 568358400 568998000 570578550 576584640 593772800 600609000 606931200 608617120 615023616 623808000 625024000 626244750 639403200 640649600 641274624 667994400 673056000 674368000 675025920 675685125 682030080 684694260 691901568 703152000 710448000 712527360 720730800 728317440 730340544 742216000 758664000 760771400 768779520 799254000 800812000 801593280 809241600 821633112 834993000 843782400 852537600 855032832 855867825 864876960 888192000 890659200 897408000 900913500 910396800 912925680 922535424 937536000 947264000 950964250 960974400 973787392 1001991600 1011552000 1023045120 1025039360 1027041390 1054728000 1065672000 1068791040 1081096200 1095510816 1113324000 1125043200 1136716800 1137996000 1141157100 1153169280 1187545600 1201218000 1213862400 1217234240 1247616000 1252489500 1278806400 1281299200 1282549248 1335988800 1346112000 1348736000 1351370250 1369388520 1383803136 1406304000 1420896000 1425054720 1426446375 1441461600 1456634880 1460681088 1484432000 1517328000 1521542800 1537559040 1598508000 1601624000 1603186560 1643266224 1669986000 1687564800 1705075200 1711735650 1729753920 1781318400 1801827000 1820793600 1825851360 1845070848 1875072000 1894528000 1901928500 1921948800 1947574784 2003983200 2023104000 2046090240 2054082780 2109456000 2131344000 2137582080 2162192400 2191021632 2226648000 2275992000 2282314200 2306338560 2375091200 2402436000 2427724800 2434468480 2504979000 2557612800 2562598400 2565098496 2567603475 2671977600 2692224000 2702740500 2738777040 2767606272 2812608000 2841792000 2852892750 2882923200 2921362176 2968864000 3034656000 3043085600 3075118080 3197016000 3203248000 3206373120 3286532448 3339972000 3375129600 3410150400 3423471300 3459507840 3562636800 3603654000 3641587200 3651702720 3803857000 3843897600 3895149568 4007966400 4046208000 4108165560 4218912000 4262688000 4275164160 4279339125 4324384800 4382043264 4453296000 4551984000 4564628400 4612677120 4804872000 4868936960 5009958000 5115225600 5125196800 5135206950 5343955200 5405481000 5477554080 5535212544 5625216000 5683584000 5705785500 5765846400 5842724352 5937728000 6069312000 6086171200 6394032000 6406496000 6412746240 6573064896 6679944000 6846942600 6919015680 7125273600 7207308000 7283174400 7303405440 7607714000 7687795200 8015932800 8216331120 8437824000 8525376000 8558678250 8648769600 8764086528 8906592000 9103968000 9129256800 9225354240 9609744000 9737873920 10019916000 10230451200 10270413900 10687910400 10810962000 10955108160 11411571000 11531692800 11685448704 11875456000 12138624000 12172342400 12788064000 12812992000 12825492480 12838017375 13146129792 13359888000 13693885200 13838031360 14414616000 14606810880 15215428000 15375590400 16031865600 16432662240 16875648000 17050752000 17117356500 17297539200 17528173056 17813184000 18207936000 18258513600 19219488000 19475747840 20039832000 20540827800 21375820800 21621924000 21910216320 22823142000 23063385600 24344684800 25576128000 25625984000 25676034750 26292259584 26719776000 27387770400 27676062720 28829232000 29213621760 30430856000 32063731200 32865324480 34234713000 34595078400 35056346112 35626368000 36415872000 36517027200 38438976000 40079664000 41081655600 43243848000 43820432640 45646284000 46126771200 48689369600 51152256000 51352069500 52584519168 53439552000 54775540800 57658464000 58427243520 60861712000 64127462400 65730648960 68469426000 69190156800 73034054400 76877952000 80159328000 82163311200 86487696000 87640865280 91292568000 97378739200 102704139000 105169038336 106879104000 109551081600 115316928000 121723424000 131461297920 136938852000 138380313600 146068108800 160318656000 164326622400 172975392000 175281730560 182585136000 205408278000 219102163200 230633856000 243446848000 262922595840 273877704000 292136217600 320637312000 328653244800 345950784000 365170272000 410816556000 438204326400 486893696000 525845191680 547755408000 657306489600 691901568000 730340544000 821633112000 876408652800 1095510816000 1314612979200 1460681088000 1643266224000 2191021632000 2629225958400 3286532448000 4382043264000 6573064896000 13146129792000
- Sum of all divisors σ(n): 52734690852480
- Sum of proper divisors (its aliquot sum) s(n): 39588561060480
- 13146129792000 is an abundant number, because the sum of its proper divisors (39588561060480) is greater than itself. Its abundance is 26442431268480
Bases of 13146129792000
- Binary: 101111110100110100100110010101111100000000002
- Hexadecimal: 0xBF4D2657C00
- Base-36: 4NR8Y96O0
Squares and roots of 13146129792000
- 13146129792000 squared (131461297920002) is 172820728508109963264000000
- 13146129792000 cubed (131461297920003) is 2271923727715608101676895961088000000000
-
The
square root of 13146129792000 is 3625759.2021533917 -
The
cube root of 13146129792000 is 23601.1213869141
Scales and comparisons
How big is 13146129792000?- 13,146,129,792,000 seconds is equal to 418,006 years, 13 weeks, 5 days.
-
To count from 1 to 13,146,129,792,000 would take you about one million, forty-five thousand and fifteen 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 13146129792000 cubic inches would be around 1966.8 feet tall.
Recreational maths with 13146129792000
- 13146129792000 backwards is 00029792164131
- 13146129792000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13146129792000's digits is 45
- 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 13146129792000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 13146129792000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13146129792000/
Chicago style:
Numbermatics. 2024. "Number 13146129792000 - Facts about the integer". https://numbermatics.com/n/13146129792000/
The information we have on file for 13146129792000 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 13146129792000, math, Factors of 13146129792000, curriculum, school, college, exams, university, Prime factorization of 13146129792000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred forty-six billion, one hundred twenty-nine million, seven hundred ninety-two thousand.