131085940477132800
131,085,940,477,132,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 131085940477132800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2268 divisors.
131085940477132800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 131085940477132800:
220 × 33 × 52 × 312 × 4392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 439 × 439)See below for interesting mathematical facts about the number 131085940477132800 from the Numbermatics database.
Names of 131085940477132800
- Cardinal: 131085940477132800 can be written as One hundred thirty-one quadrillion, eighty-five trillion, nine hundred forty billion, four hundred seventy-seven million, one hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.310859404771328 × 1017
Factors of 131085940477132800
Divisors of 131085940477132800
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 128 135 144 150 155 160 180 186 192 200 216 225 240 248 256 270 279 288 300 310 320 360 372 384 400 432 439 450 465 480 496 512 540 558 576 600 620 640 675 720 744 768 775 800 837 864 878 900 930 960 961 992 1024 1080 1116 1152 1200 1240 1280 1317 1350 1395 1440 1488 1536 1550 1600 1674 1728 1756 1800 1860 1920 1922 1984 2048 2160 2195 2232 2304 2325 2400 2480 2560 2634 2700 2790 2880 2883 2976 3072 3100 3200 3348 3456 3512 3600 3720 3840 3844 3951 3968 4096 4185 4320 4390 4464 4608 4650 4800 4805 4960 5120 5268 5400 5580 5760 5766 5952 6144 6200 6400 6585 6696 6912 6975 7024 7200 7440 7680 7688 7902 7936 8192 8370 8640 8649 8780 8928 9216 9300 9600 9610 9920 10240 10536 10800 10975 11160 11520 11532 11853 11904 12288 12400 12800 13170 13392 13609 13824 13950 14048 14400 14415 14880 15360 15376 15804 15872 16384 16740 17280 17298 17560 17856 18432 18600 19200 19220 19755 19840 20480 20925 21072 21600 21950 22320 23040 23064 23706 23808 24025 24576 24800 25600 25947 26340 26784 27218 27648 27900 28096 28800 28830 29760 30720 30752 31608 31744 32768 32925 33480 34560 34596 35120 35712 36864 37200 38400 38440 39510 39680 40827 40960 41850 42144 43200 43245 43900 44640 46080 46128 47412 47616 48050 49152 49600 51200 51894 52680 53568 54436 55296 55800 56192 57600 57660 59265 59520 61440 61504 63216 63488 65536 65850 66960 68045 69120 69192 70240 71424 72075 73728 74400 76800 76880 79020 79360 81654 81920 83700 84288 86400 86490 87800 89280 92160 92256 94824 95232 96100 98304 98775 99200 102400 103788 105360 107136 108872 110592 111600 112384 115200 115320 118530 119040 122481 122880 123008 126432 126976 129735 131072 131700 133920 136090 138240 138384 140480 142848 144150 147456 148800 153600 153760 158040 158720 163308 163840 167400 168576 172800 172980 175600 178560 184320 184512 189648 190464 192200 192721 196608 197550 198400 204135 204800 207576 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3981349748736 4000425429600 4129471411200 4147239321600 4262680166400 4267120458240 4404769505280 4546858844160 4551595155456 4665644236800 4698420805632 4741244953600 4816148889600 4894188339200 4976687185920 5052065382400 5120544549888 5285723406336 5333900572800 5456230612992 5505961881600 5529652428800 5683573555200 5689493944320 5873026007040 5972024623104 6068793540608 6220858982400 6264561074176 6400680687360 6607154257920 6635582914560 6820288266240 6827392733184 7047631208448 7111867430400 7341282508800 7465030778880 7578098073600 7585991925760 7830701342720 8000850859200 8258942822400 8294478643200 8525360332800 8534240916480 8809539010560 9093717688320 9103190310912 9331288473600 9396841611264 9482489907200 9632297779200 9788376678400 9953374371840 10241089099776 10571446812672 10667801145600 11011923763200 11059304857600 11367147110400 11378987888640 11746052014080 11944049246208 12137587081216 12441717964800 12801361374720 13214308515840 13640576532480 13654785466368 14095262416896 14223734860800 14682565017600 14930061557760 15156196147200 15171983851520 15661402685440 16001701718400 16517885644800 16588957286400 17050720665600 17068481832960 17619078021120 18206380621824 18662576947200 18793683222528 18964979814400 19576753356800 19906748743680 20482178199552 21142893625344 21335602291200 22023847526400 22734294220800 22757975777280 23492104028160 24275174162432 24883435929600 25602722749440 26428617031680 27281153064960 27309570932736 28190524833792 28447469721600 29365130035200 29860123115520 30343967703040 31322805370880 32003403436800 33035771289600 33177914572800 34101441331200 34136963665920 35238156042240 36412761243648 37325153894400 37929959628800 39153506713600 40964356399104 42285787250688 42671204582400 44047695052800 45468588441600 45515951554560 46984208056320 48550348324864 49766871859200 51205445498880 52857234063360 54619141865472 56381049667584 56894939443200 58730260070400 59720246231040 60687935406080 64006806873600 66071542579200 68202882662400 68273927331840 70476312084480 72825522487296 74650307788800 75859919257600 78307013427200 81928712798208 84571574501376 85342409164800 88095390105600 91031903109120 93968416112640 97100696649728 99533743718400 102410890997760 105714468126720 109238283730944 113789878886400 117460520140800 121375870812160 128013613747200 132143085158400 136405765324800 136547854663680 140952624168960 145651044974592 149300615577600 151719838515200 156614026854400 163857425596416 169143149002752 170684818329600 176190780211200 182063806218240 194201393299456 204821781995520 211428936253440 218476567461888 227579757772800 234921040281600 242751741624320 256027227494400 264286170316800 273095709327360 281905248337920 291302089949184 298601231155200 303439677030400 327714851192832 341369636659200 352381560422400 364127612436480 409643563991040 422857872506880 436953134923776 455159515545600 469842080563200 485503483248640 512054454988800 528572340633600 546191418654720 582604179898368 606879354060800 655429702385664 682739273318400 704763120844800 728255224872960 819287127982080 845715745013760 873906269847552 910319031091200 971006966497280 1024108909977600 1057144681267200 1092382837309440 1213758708121600 1310859404771328 1365478546636800 1409526241689600 1456510449745920 1638574255964160 1747812539695104 1820638062182400 2048217819955200 2114289362534400 2184765674618880 2427517416243200 2621718809542656 2730957093273600 2913020899491840 3277148511928320 3641276124364800 4096435639910400 4228578725068800 4369531349237760 4855034832486400 5243437619085312 5461914186547200 6554297023856640 7282552248729600 8192871279820800 8739062698475520 10923828373094400 13108594047713280 14565104497459200 16385742559641600 21847656746188800 26217188095426560 32771485119283200 43695313492377600 65542970238566400 131085940477132800
- Sum of all divisors σ(n): 498792690577820520
- Sum of proper divisors (its aliquot sum) s(n): 367706750100687720
- 131085940477132800 is an abundant number, because the sum of its proper divisors (367706750100687720) is greater than itself. Its abundance is 236620809623554920
Bases of 131085940477132800
- Binary: 1110100011011010111110111111001010011000000000000000000002
- Hexadecimal: 0x1D1B5F7E5300000
- Base-36: ZUQ35PHEDC0
Squares and roots of 131085940477132800
- 131085940477132800 squared (1310859404771328002) is 17183523790774403413319708835840000
- 131085940477132800 cubed (1310859404771328003) is 2252518376824848819533027822199182061629079552000000
-
The
square root of 131085940477132800 is 362057924.2015465125 -
The
cube root of 131085940477132800 is 507986.3447219299
Scales and comparisons
How big is 131085940477132800?- 131,085,940,477,132,800 seconds is equal to 4,168,127,431 years, 38 weeks, 2 days.
-
To count from 1 to 131,085,940,477,132,800 would take you about twelve billion, five hundred four million, three hundred eighty-two thousand, two hundred ninety-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 131085940477132800 cubic inches would be around 42332.2 feet tall.
Recreational maths with 131085940477132800
- 131085940477132800 backwards is 008231774049580131
- The number of decimal digits it has is: 18
- The sum of 131085940477132800's digits is 63
- More coming soon!
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"Number 131085940477132800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 131085940477132800 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/131085940477132800/
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The information we have on file for 131085940477132800 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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