31428915731114400
31,428,915,731,114,400 is an even composite number composed of five prime numbers multiplied together.
31428915731114400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 31428915731114400:
25 × 34 × 52 × 2712 × 6604133
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 271 × 271 × 6604133)See below for interesting mathematical facts about the number 31428915731114400 from the Numbermatics database.
Names of 31428915731114400
- Cardinal: 31428915731114400 can be written as Thirty-one quadrillion, four hundred twenty-eight trillion, nine hundred fifteen billion, seven hundred thirty-one million, one hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 3.14289157311144 × 1016
Factors of 31428915731114400
Divisors of 31428915731114400
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 270 271 288 300 324 360 400 405 432 450 480 540 542 600 648 675 720 800 810 813 864 900 1080 1084 1200 1296 1350 1355 1440 1620 1626 1800 2025 2160 2168 2400 2439 2592 2700 2710 3240 3252 3600 4050 4065 4320 4336 4878 5400 5420 6480 6504 6775 7200 7317 8100 8130 8672 9756 10800 10840 12195 12960 13008 13550 14634 16200 16260 19512 20325 21600 21680 21951 24390 26016 27100 29268 32400 32520 36585 39024 40650 43360 43902 48780 54200 58536 60975 64800 65040 73170 73441 78048 81300 87804 97560 108400 109755 117072 121950 130080 146340 146882 162600 175608 182925 195120 216800 219510 220323 234144 243900 292680 293764 325200 351216 365850 367205 390240 439020 440646 487800 548775 585360 587528 650400 660969 702432 731700 734410 878040 881292 975600 1097550 1101615 1170720 1175056 1321938 1463400 1468820 1756080 1762584 1836025 1951200 1982907 2195100 2203230 2350112 2643876 2926800 2937640 3304845 3512160 3525168 3672050 3965814 4390200 4406460 5287752 5508075 5853600 5875280 5948721 6604133 6609690 7050336 7344100 7931628 8780400 8812920 9914535 10575504 11016150 11750560 11897442 13208266 13219380 14688200 15863256 16524225 17560800 17625840 19812399 19829070 21151008 22032300 23794884 26416532 26438760 29376400 29743605 31726512 33020665 33048450 35251680 39624798 39658140 44064600 47589768 49572675 52833064 52877520 58752800 59437197 59487210 63453024 66041330 66096900 79249596 79316280 88129200 95179536 99061995 99145350 105666128 105755040 118874394 118974420 132082660 132193800 148718025 158499192 158632560 165103325 176258400 178311591 190359072 198123990 198290700 211332256 237748788 237948840 264165320 264387600 297185985 297436050 316998384 317265120 330206650 356623182 396247980 396581400 475497576 475897680 495309975 528330640 528775200 534934773 594371970 594872100 633996768 660413300 713246364 792495960 793162800 891557955 950995152 951795360 990619950 1056661280 1069869546 1188743940 1189744200 1320826600 1426492728 1485929925 1584991920 1586325600 1783115910 1789720043 1901990304 1981239900 2139739092 2377487880 2379488400 2641653200 2674673865 2852985456 2971859850 3169983840 3566231820 3579440086 3962479800 4279478184 4457789775 4754975760 4758976800 5283306400 5349347730 5369160129 5705970912 5943719700 7132463640 7158880172 7924959600 8558956368 8915579550 8948600215 9509951520 10698695460 10738320258 11887439400 13373369325 14264927280 14317760344 15849919200 16107480387 17117912736 17831159100 17897200430 21397390920 21476640516 23774878800 26746738650 26845800645 28529854560 28635520688 32214960774 35662318200 35794400860 42794781840 42953281032 44743001075 47549757600 48322441161 53493477300 53691601290 57271041376 64429921548 71324636400 71588801720 80537401935 85589563680 85906562064 89486002150 96644882322 106986954600 107383202580 128859843096 134229003225 142649272800 143177603440 144967323483 161074803870 171813124128 178972004300 193289764644 213973909200 214766405160 241612205805 257719686192 268458006450 286355206880 289934646966 322149607740 357944008600 386579529288 402687009675 427947818400 429532810320 483224411610 485014131653 515439372384 536916012900 579869293932 644299215480 715888017200 724836617415 773159058576 805374019350 859065620640 966448823220 970028263306 1073832025800 1159738587864 1208061029025 1288598430960 1431776034400 1449673234830 1455042394959 1546318117152 1610748038700 1932897646440 1940056526612 2147664051600 2319477175728 2416122058050 2425070658265 2577196861920 2899346469660 2910084789918 3221496077400 3624183087075 3865795292880 3880113053224 4295328103200 4365127184877 4638954351456 4832244116100 4850141316530 5798692939320 5820169579836 6442992154800 7248366174150 7275211974795 7731590585760 7760226106448 8730254369754 9664488232200 9700282633060 11597385878640 11640339159672 12125353291325 12885984309600 13095381554631 14496732348300 14550423949590 15520452212896 17460508739508 19328976464400 19400565266120 21825635924385 23194771757280 23280678319344 24250706582650 26190763109262 28993464696600 29100847899180 34921017479016 36376059873975 38657952928800 38801130532240 39286144663893 43651271848770 46561356638688 48501413165300 52381526218524 57986929393200 58201695798360 65476907773155 69842034958032 72752119747950 77602261064480 78572289327786 87302543697540 97002826330600 104763052437048 109128179621925 115973858786400 116403391596720 130953815546310 139684069916064 145504239495900 157144578655572 174605087395080 194005652661200 196430723319465 209526104874096 218256359243850 232806783193440 261907631092620 291008478991800 314289157311144 327384538865775 349210174790160 388011305322400 392861446638930 419052209748192 436512718487700 523815262185240 582016957983600 628578314622288 654769077731550 698420349580320 785722893277860 873025436975400 982153616597325 1047630524370480 1164033915967200 1257156629244576 1309538155463100 1571445786555720 1746050873950800 1964307233194650 2095261048740960 2619076310926200 3142891573111440 3492101747901600 3928614466389300 5238152621852400 6285783146222880 7857228932778600 10476305243704800 15714457865557200 31428915731114400
- Sum of all divisors σ(n): 115039656667658646
- Sum of proper divisors (its aliquot sum) s(n): 83610740936544246
- 31428915731114400 is an abundant number, because the sum of its proper divisors (83610740936544246) is greater than itself. Its abundance is 52181825205429846
Bases of 31428915731114400
- Binary: 11011111010100001101110101011011101010000101001101000002
- Hexadecimal: 0x6FA86EADD429A0
- Base-36: 8LGMCKBQY00
Squares and roots of 31428915731114400
- 31428915731114400 squared (314289157311144002) is 987776744033490200280265887360000
- 31428915731114400 cubed (314289157311144003) is 31044752049383122205940220435023440477673984000000
-
The
square root of 31428915731114400 is 177282023.1470591041 -
The
cube root of 31428915731114400 is 315580.2381009563
Scales and comparisons
How big is 31428915731114400?- 31,428,915,731,114,400 seconds is equal to 999,342,304 years, 11 weeks, 6 days, 18 hours.
-
To count from 1 to 31,428,915,731,114,400 would take you about two billion, nine hundred ninety-eight million, twenty-six thousand, nine hundred twelve 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 31428915731114400 cubic inches would be around 26298.4 feet tall.
Recreational maths with 31428915731114400
- 31428915731114400 backwards is 00441113751982413
- 31428915731114400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 31428915731114400's digits is 54
- 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 31428915731114400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 31428915731114400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/31428915731114400/
Chicago style:
Numbermatics. 2024. "Number 31428915731114400 - Facts about the integer". https://numbermatics.com/n/31428915731114400/
The information we have on file for 31428915731114400 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 31428915731114400, math, Factors of 31428915731114400, curriculum, school, college, exams, university, Prime factorization of 31428915731114400, STEM, science, technology, engineering, physics, economics, calculator, thirty-one quadrillion, four hundred twenty-eight trillion, nine hundred fifteen billion, seven hundred thirty-one million, one hundred fourteen thousand, four hundred.