31337513772220062720
31,337,513,772,220,062,720 is an even composite number composed of five prime numbers multiplied together.
31337513772220062720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 31337513772220062720:
210 × 32 × 5 × 23 × 29568155355733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 29568155355733)See below for interesting mathematical facts about the number 31337513772220062720 from the Numbermatics database.
Names of 31337513772220062720
- Cardinal: 31337513772220062720 can be written as Thirty-one quintillion, three hundred thirty-seven quadrillion, five hundred thirteen trillion, seven hundred seventy-two billion, two hundred twenty million, sixty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 3.133751377222006272 × 1019
Factors of 31337513772220062720
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 29568155355766
Divisors of 31337513772220062720
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 64 69 72 80 90 92 96 115 120 128 138 144 160 180 184 192 207 230 240 256 276 288 320 345 360 368 384 414 460 480 512 552 576 640 690 720 736 768 828 920 960 1024 1035 1104 1152 1280 1380 1440 1472 1536 1656 1840 1920 2070 2208 2304 2560 2760 2880 2944 3072 3312 3680 3840 4140 4416 4608 5120 5520 5760 5888 6624 7360 7680 8280 8832 9216 11040 11520 11776 13248 14720 15360 16560 17664 22080 23040 23552 26496 29440 33120 35328 44160 46080 52992 58880 66240 70656 88320 105984 117760 132480 176640 211968 264960 353280 529920 1059840 29568155355733 59136310711466 88704466067199 118272621422932 147840776778665 177408932134398 236545242845864 266113398201597 295681553557330 354817864268796 443522330335995 473090485691728 532226796403194 591363107114660 680067573181859 709635728537592 887044660671990 946180971383456 1064453592806388 1182726214229320 1330566991007985 1360135146363718 1419271457075184 1774089321343980 1892361942766912 2040202719545577 2128907185612776 2365452428458640 2661133982015970 2720270292727436 2838542914150368 3400337865909295 3548178642687960 3784723885533824 4080405439091154 4257814371225552 4730904856917280 5322267964031940 5440540585454872 5677085828300736 6120608158636731 6800675731818590 7096357285375920 7569447771067648 8160810878182308 8515628742451104 9461809713834560 10201013597727885 10644535928063880 10881081170909744 11354171656601472 12241216317273462 13601351463637180 14192714570751840 15138895542135296 16321621756364616 17031257484902208 18923619427669120 20402027195455770 21289071856127760 21762162341819488 22708343313202944 24482432634546924 27202702927274360 28385429141503680 30277791084270592 30603040793183655 32643243512729232 34062514969804416 37847238855338240 40804054390911540 42578143712255520 43524324683638976 45416686626405888 48964865269093848 54405405854548720 56770858283007360 61206081586367310 65286487025458464 68125029939608832 75694477710676480 81608108781823080 85156287424511040 87048649367277952 90833373252811776 97929730538187696 108810811709097440 113541716566014720 122412163172734620 130572974050916928 136250059879217664 151388955421352960 163216217563646160 170312574849022080 174097298734555904 195859461076375392 217621623418194880 227083433132029440 244824326345469240 261145948101833856 272500119758435328 326432435127292320 340625149698044160 348194597469111808 391718922152750784 435243246836389760 454166866264058880 489648652690938480 522291896203667712 652864870254584640 681250299396088320 696389194938223616 783437844305501568 870486493672779520 979297305381876960 1044583792407335424 1305729740509169280 1362500598792176640 1566875688611003136 1740972987345559040 1958594610763753920 2089167584814670848 2611459481018338560 3133751377222006272 3481945974691118080 3917189221527507840 5222918962036677120 6267502754444012544 7834378443055015680 10445837924073354240 15668756886110031360 31337513772220062720
- Sum of all divisors σ(n): 113304698232686996256
- Sum of proper divisors (its aliquot sum) s(n): 81967184460466933536
- 31337513772220062720 is an abundant number, because the sum of its proper divisors (81967184460466933536) is greater than itself. Its abundance is 50629670688246870816
Bases of 31337513772220062720
- Binary: 110110010111001010011011010111110000110010001011010011100000000002
- Hexadecimal: 0x1B2E536BE19169C00
- Base-36: 6M35PIKDJEV40
Squares and roots of 31337513772220062720
- 31337513772220062720 squared (313375137722200627202) is 982039769424082105021455987280733798400
- 31337513772220062720 cubed (313375137722200627203) is 30774684799194987817376263698436199500547155248071835648000
-
The
square root of 31337513772220062720 is 5597991941.0642297495 -
The
cube root of 31337513772220062720 is 3152740.1628082349
Scales and comparisons
How big is 31337513772220062720?- 31,337,513,772,220,062,720 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 31,337,513,772,220,062,720 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 31337513772220062720 cubic inches would be around 262728.3 feet tall.
Recreational maths with 31337513772220062720
- 31337513772220062720 backwards is 02726002227731573313
- The number of decimal digits it has is: 20
- The sum of 31337513772220062720's digits is 63
- More coming soon!
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