31316104904083200
31,316,104,904,083,200 is an even composite number composed of five prime numbers multiplied together.
31316104904083200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 31316104904083200:
28 × 32 × 52 × 23 × 23638364209
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 23638364209)See below for interesting mathematical facts about the number 31316104904083200 from the Numbermatics database.
Names of 31316104904083200
- Cardinal: 31316104904083200 can be written as Thirty-one quadrillion, three hundred sixteen trillion, one hundred four billion, nine hundred four million, eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 3.13161049040832 × 1016
Factors of 31316104904083200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 23638364242
Divisors of 31316104904083200
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 60 64 69 72 75 80 90 92 96 100 115 120 128 138 144 150 160 180 184 192 200 207 225 230 240 256 276 288 300 320 345 360 368 384 400 414 450 460 480 552 575 576 600 640 690 720 736 768 800 828 900 920 960 1035 1104 1150 1152 1200 1280 1380 1440 1472 1600 1656 1725 1800 1840 1920 2070 2208 2300 2304 2400 2760 2880 2944 3200 3312 3450 3600 3680 3840 4140 4416 4600 4800 5175 5520 5760 5888 6400 6624 6900 7200 7360 8280 8832 9200 9600 10350 11040 11520 13248 13800 14400 14720 16560 17664 18400 19200 20700 22080 26496 27600 28800 29440 33120 36800 41400 44160 52992 55200 57600 66240 73600 82800 88320 110400 132480 147200 165600 220800 264960 331200 441600 662400 1324800 23638364209 47276728418 70915092627 94553456836 118191821045 141830185254 189106913672 212745277881 236383642090 283660370508 354575463135 378213827344 425490555762 472767284180 543682376807 567320741016 590959105225 709150926270 756427654688 850981111524 945534568360 1063726389405 1087364753614 1134641482032 1181918210450 1418301852540 1512855309376 1631047130421 1701962223048 1772877315675 1891069136720 2127452778810 2174729507228 2269282964064 2363836420900 2718411884035 2836603705080 3025710618752 3262094260842 3403924446096 3545754631350 3782138273440 4254905557620 4349459014456 4538565928128 4727672841800 4893141391263 5318631947025 5436823768070 5673207410160 6051421237504 6524188521684 6807848892192 7091509262700 7564276546880 8155235652105 8509811115240 8698918028912 9077131856256 9455345683600 9786282782526 10637263894050 10873647536140 11346414820320 13048377043368 13592059420175 13615697784384 14183018525400 15128553093760 16310471304210 17019622230480 17397836057824 18154263712512 18910691367200 19572565565052 21274527788100 21747295072280 22692829640640 24465706956315 26096754086736 27184118840350 27231395568768 28366037050800 30257106187520 32620942608420 34039244460960 34795672115648 37821382734400 39145131130104 40776178260525 42549055576200 43494590144560 45385659281280 48931413912630 52193508173472 54368237680700 54462791137536 56732074101600 65241885216840 68078488921920 69591344231296 75642765468800 78290262260208 81552356521050 85098111152400 86989180289120 90771318562560 97862827825260 104387016346944 108736475361400 113464148203200 122328534781575 130483770433680 136156977843840 139182688462592 151285530937600 156580524520416 163104713042100 170196222304800 173978360578240 195725655650520 208774032693888 217472950722800 226928296406400 244657069563150 260967540867360 272313955687680 313161049040832 326209426084200 340392444609600 347956721156480 391451311301040 417548065387776 434945901445600 453856592812800 489314139126300 521935081734720 626322098081664 652418852168400 680784889219200 695913442312960 782902622602080 869891802891200 978628278252600 1043870163469440 1252644196163328 1304837704336800 1361569778438400 1565805245204160 1739783605782400 1957256556505200 2087740326938880 2609675408673600 3131610490408320 3479567211564800 3914513113010400 5219350817347200 6263220980816640 7829026226020800 10438701634694400 15658052452041600 31316104904083200
- Sum of all divisors σ(n): 116830062164590320
- Sum of proper divisors (its aliquot sum) s(n): 85513957260507120
- 31316104904083200 is an abundant number, because the sum of its proper divisors (85513957260507120) is greater than itself. Its abundance is 54197852356423920
Bases of 31316104904083200
- Binary: 11011110100000111010100110111001000111010000111000000002
- Hexadecimal: 0x6F41D4DC8E8700
- Base-36: 8KCMRZI0U80
Squares and roots of 31316104904083200
- 31316104904083200 squared (313161049040832002) is 980698426363543849072032522240000
- 31316104904083200 cubed (313161049040832003) is 30711654799270052527817160367210346170810368000000
-
The
square root of 31316104904083200 is 176963569.4262612911 -
The
cube root of 31316104904083200 is 315202.2046120077
Scales and comparisons
How big is 31316104904083200?- 31,316,104,904,083,200 seconds is equal to 995,755,268 years, 45 weeks, 4 days, 8 hours.
-
To count from 1 to 31,316,104,904,083,200 would take you about two billion, nine hundred eighty-seven million, two hundred sixty-five thousand, eight hundred six 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 31316104904083200 cubic inches would be around 26266.9 feet tall.
Recreational maths with 31316104904083200
- 31316104904083200 backwards is 00238040940161313
- 31316104904083200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 31316104904083200's digits is 45
- More coming soon!
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