13181168361152000
13,181,168,361,152,000 is an even composite number composed of seven prime numbers multiplied together.
13181168361152000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13181168361152000:
29 × 53 × 112 × 31 × 61 × 181 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 31 × 61 × 181 × 4973)See below for interesting mathematical facts about the number 13181168361152000 from the Numbermatics database.
Names of 13181168361152000
- Cardinal: 13181168361152000 can be written as Thirteen quadrillion, one hundred eighty-one trillion, one hundred sixty-eight billion, three hundred sixty-one million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.3181168361152 × 1016
Factors of 13181168361152000
Divisors of 13181168361152000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 61 62 64 80 88 100 110 121 122 124 125 128 155 160 176 181 200 220 242 244 248 250 256 275 305 310 320 341 352 362 400 440 484 488 496 500 512 550 605 610 620 640 671 682 704 724 775 800 880 905 968 976 992 1000 1100 1210 1220 1240 1280 1342 1364 1375 1408 1448 1525 1550 1600 1705 1760 1810 1891 1936 1952 1984 1991 2000 2200 2420 2440 2480 2560 2684 2728 2750 2816 2896 3025 3050 3100 3200 3355 3410 3520 3620 3751 3782 3872 3875 3904 3968 3982 4000 4400 4525 4840 4880 4960 4973 5368 5456 5500 5611 5632 5792 6050 6100 6200 6400 6710 6820 7040 7240 7381 7502 7564 7625 7744 7750 7808 7936 7964 8000 8525 8800 9050 9455 9680 9760 9920 9946 9955 10736 10912 11000 11041 11222 11584 12100 12200 12400 12800 13420 13640 14080 14480 14762 15004 15125 15128 15250 15488 15500 15616 15872 15928 16000 16775 17050 17600 18100 18755 18910 19360 19520 19840 19892 19910 20801 21472 21824 21901 22000 22082 22444 22625 23168 24200 24400 24800 24865 26840 27280 28055 28160 28960 29524 30008 30250 30256 30500 30976 31000 31232 31856 32000 33550 34100 35200 36200 36905 37510 37820 38720 39040 39680 39784 39820 41602 42625 42944 43648 43802 44000 44164 44888 45250 46336 47275 48400 48800 49600 49730 49775 53680 54560 54703 55205 56110 57920 59048 60016 60500 60512 61000 61721 61952 62000 63712 64000 67100 68200 70400 72400 73810 75020 75640 77440 78080 79360 79568 79640 83204 83875 85250 85888 87296 87604 88000 88328 89776 90500 92672 93775 94550 96800 97600 99200 99460 99550 104005 107360 109120 109406 109505 110410 112220 115840 118096 120032 121000 121024 121451 122000 123442 124000 124325 127424 134200 136400 140275 140800 144800 147620 150040 151280 154163 154880 156160 159136 159280 166408 167750 170500 171776 174592 175208 176000 176656 179552 181000 184525 187550 189100 193600 195200 198400 198920 199100 208010 214720 218240 218812 219010 220820 224440 228811 231680 236192 236375 240064 242000 242048 242902 244000 246884 248000 248650 248875 254848 268400 272800 273515 276025 280550 289600 295240 300080 302560 303353 308326 308605 309760 318272 318560 332816 335500 341000 342271 343552 350416 352000 353312 359104 362000 369050 375100 378200 387200 390400 396800 397840 398200 416020 429440 436480 437624 438020 441640 448880 457622 463360 468875 472384 472750 480128 484000 484096 485804 488000 493768 496000 497300 497750 509696 520025 536800 545600 547030 547525 552050 561100 579200 590480 600160 601733 605120 606706 607255 616652 617210 621625 636544 637120 665632 671000 678931 682000 684542 700832 701375 704000 706624 718208 724000 738100 750200 756400 770815 774400 780800 795680 796400 832040 858880 872960 875248 876040 883280 897760 900113 915244 922625 937750 944768 945500 960256 968000 968192 971608 976000 987536 992000 994600 995500 1019392 1040050 1073600 1091200 1094060 1095050 1104100 1122200 1144055 1158400 1180960 1200320 1203466 1210240 1213412 1214510 1233304 1234420 1243250 1273088 1274240 1331264 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4858040 4933216 4937680 4973000 5096960 5200250 5325056 5343844 5368000 5431448 5456000 5470300 5475250 5476336 5520500 5606656 5611000 5652992 5720275 5792000 5904800 6001600 6017330 6051200 6067060 6072550 6166520 6172100 6365440 6371200 6656320 6673766 6679805 6783172 6789310 6837875 6845420 7001984 7008320 7066240 7182080 7200904 7321952 7381000 7502000 7529962 7564000 7583825 7708150 7715125 7744000 7772864 7900288 7956800 7964000 8320400 8478965 8556775 8588800 8752480 8760400 8832800 8977600 9001130 9152440 9403943 9447680 9602560 9627728 9707296 9716080 9866432 9875360 9901243 9946000 10400500 10650112 10687688 10736000 10862896 10912000 10940600 10950500 10952672 11041000 11213312 11222000 11440550 11584000 11809600 12003200 12034660 12102400 12134120 12145100 12333040 12344200 12730880 12742400 13312640 13347532 13359610 13566344 13578620 13675750 13690840 14003968 14016640 14132480 14364160 14401808 14643904 14762000 15004000 15043325 15059924 15128000 15167650 15181375 15416300 15430250 15545728 15800576 15913600 15928000 16640800 16684415 16957930 16973275 17113550 17504960 17520800 17665600 17955200 18002260 18304880 18653723 18807886 18824905 18895360 19255456 19270375 19414592 19432160 19732864 19750720 19802486 19892000 20801000 21375376 21472000 21725792 21824000 21881200 21901000 21905344 22082000 22444000 22502825 22881100 23619200 24006400 24069320 24204800 24268240 24290200 24666080 24688400 25484800 26625280 26695064 26719220 27132688 27157240 27351500 27381680 27903503 28007936 28033280 28264960 28601375 28803616 29287808 29524000 30008000 30086650 30119848 30256000 30335300 30362750 30832600 30860500 31091456 31601152 31827200 31856000 33281600 33368830 33399025 33915860 33946550 34227100 35009920 35041600 35331200 35910400 36004520 36609760 36705713 37307446 37615772 37649810 37919125 38510912 38540750 38829184 38864320 39465728 39501440 39604972 39784000 41414791 41602000 42394825 42750752 42783875 42944000 43451584 43762400 43802000 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33218670265 33763238630 34042273660 34852375360 35140411520 35716483840 36412067296 36705713000 37307446000 37446501026 37615772000 38367316625 38510912000 38654452672 39288132224 39604972000 41377349200 41414791000 42552842075 42712102400 42750752000 43451584000 43565469200 43925514400 44645604800 45515084120 46983312640 47753530880 48191756800 48318065840 49110165280 51721686500 52963006976 53010932480 53149872424 53390128000 54021181808 54265376000 54456836500 54467637856 54906893000 55763800576 55807006000 56893855150 57607232000 58729140800 59691913600 60185235200 60239696000 60397582300 61387706600 63367955200 66203758720 66263665600 66437340530 67526477260 68084547320 69704750720 70280823040 71432967680 72824134592 73411426000 74614892000 74893002052 75231544000 75496977875 76734633250 77308905344 78576264448 79209944000 82754698400 82829582000 84408096575 85105684150 85501504000 87130938400 87851028800 89291209600 91030168240 93616252565 93966625280 96636131680 98220330560 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306938533000 309235621376 316839776000 331018793600 331318328000 332186702650 337632386300 340422736600 348523753600 351404115200 357164838400 364120672960 374465010260 386544526720 392881322240 411911511286 413773492000 422040482875 425198979392 425528420750 432169454464 435654692000 435741102848 439255144000 446456048000 455150841200 468081262825 469833126400 483180658400 491101652800 530109324800 531498724240 540211818080 544676378560 568938551500 582593076736 587291408000 596919136000 599144016416 601852352000 603975823000 613877066000 633679552000 662037587200 662636656000 664373405300 675264772600 680845473200 697047507200 702808230400 728241345920 748930020520 773089053440 785762644480 823823022572 827546984000 830466756625 844080965750 850397958784 851056841500 864338908928 871309384000 871482205696 878510288000 892912096000 910301682400 936162525650 966361316800 982203305600 1029778778215 1062997448480 1080423636160 1089352757120 1137877103000 1174582816000 1193838272000 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6752647726000 6808454732000 6970475072000 7282413459200 7489300205200 7730890534400 8238230225720 8503979587840 8643389089280 9103016824000 9361625256500 9586304262656 9663613168000 9822033056000 10297787782150 10629974484800 10804236361600 10893527571200 11982880328320 13181168361152 13287468106000 13505295452000 13616909464000 14564826918400 14978600410400 16476460451440 17007959175680 18206033648000 18723250513000 19327226336000 19644066112000 20595575564300 21259948969600 21608472723200 21787055142400 23965760656640 25744469455375 26362336722304 26574936212000 27010590904000 27233818928000 29957200820800 32952920902880 36412067296000 37446501026000 38654452672000 41191151128600 42519897939200 43216945446400 47931521313280 51488938910750 52724673444608 53149872424000 54021181808000 54467637856000 59914401641600 65905841805760 72824134592000 74893002052000 82382302257200 85039795878400 102977877821500 105449346889216 106299744848000 108042363616000 108935275712000 119828803283200 131811683611520 149786004104000 164764604514400 205955755643000 212599489696000 216084727232000 239657606566400 263623367223040 299572008208000 329529209028800 411911511286000 425198979392000 527246734446080 599144016416000 659058418057600 823823022572000 1198288032832000 1318116836115200 1647646045144000 2636233672230400 3295292090288000 6590584180576000 13181168361152000
- Sum of all divisors σ(n): 38121563981749248
- Sum of proper divisors (its aliquot sum) s(n): 24940395620597248
- 13181168361152000 is an abundant number, because the sum of its proper divisors (24940395620597248) is greater than itself. Its abundance is 11759227259445248
Bases of 13181168361152000
- Binary: 1011101101010000110011111010011110010000011110000000002
- Hexadecimal: 0x2ED433E9E41E00
- Base-36: 3LSC15EJQBK
Squares and roots of 13181168361152000
- 13181168361152000 squared (131811683611520002) is 173743199365034501502767104000000
- 13181168361152000 cubed (131811683611520003) is 2290138362435717027185165949424817143808000000000
-
The
square root of 13181168361152000 is 114809269.4914134535 -
The
cube root of 13181168361152000 is 236220.7092185483
Scales and comparisons
How big is 13181168361152000?- 13,181,168,361,152,000 seconds is equal to 419,120,381 years, 44 weeks, 2 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,181,168,361,152,000 would take you about one billion, two hundred fifty-seven million, three hundred sixty-one thousand, one hundred forty-five 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 13181168361152000 cubic inches would be around 19685.1 feet tall.
Recreational maths with 13181168361152000
- 13181168361152000 backwards is 00025116386118131
- The number of decimal digits it has is: 17
- The sum of 13181168361152000's digits is 47
- More coming soon!
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"Number 13181168361152000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 13181168361152000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/13181168361152000/
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Numbermatics. 2024. "Number 13181168361152000 - Facts about the integer". https://numbermatics.com/n/13181168361152000/
The information we have on file for 13181168361152000 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!
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