37980607232687007132000
37,980,607,232,687,007,132,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 37980607232687007132000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
37980607232687007132000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 37980607232687007132000:
25 × 32 × 53 × 443 × 2381527917775709
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 443 × 2381527917775709)See below for interesting mathematical facts about the number 37980607232687007132000 from the Numbermatics database.
Names of 37980607232687007132000
- Cardinal: 37980607232687007132000 can be written as Thirty-seven sextillion, nine hundred eighty quintillion, six hundred seven quadrillion, two hundred thirty-two trillion, six hundred eighty-seven billion, seven million, one hundred thirty-two thousand.
Scientific notation
- Scientific notation: 3.7980607232687007132 × 1022
Factors of 37980607232687007132000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 2381527917776162
Divisors of 37980607232687007132000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 443 450 480 500 600 720 750 800 886 900 1000 1125 1200 1329 1440 1500 1772 1800 2000 2215 2250 2400 2658 3000 3544 3600 3987 4000 4430 4500 5316 6000 6645 7088 7200 7974 8860 9000 10632 11075 12000 13290 14176 15948 17720 18000 19935 21264 22150 26580 31896 33225 35440 36000 39870 42528 44300 53160 55375 63792 66450 70880 79740 88600 99675 106320 110750 127584 132900 159480 166125 177200 199350 212640 221500 265800 318960 332250 354400 398700 443000 498375 531600 637920 664500 797400 886000 996750 1063200 1329000 1594800 1772000 1993500 2658000 3189600 3987000 5316000 7974000 15948000 2381527917775709 4763055835551418 7144583753327127 9526111671102836 11907639588878545 14289167506654254 19052223342205672 21433751259981381 23815279177757090 28578335013308508 35722918766635635 38104446684411344 42867502519962762 47630558355514180 57156670026617016 59538197944392725 71445837533271270 76208893368822688 85735005039925524 95261116711028360 107168756299906905 114313340053234032 119076395888785450 142891675066542540 171470010079851048 178614593833178175 190522233422056720 214337512599813810 228626680106468064 238152791777570900 285783350133085080 297690989721963625 342940020159702096 357229187666356350 381044466844113440 428675025199627620 476305583555141800 535843781499534525 571566700266170160 595381979443927250 685880040319404192 714458375332712700 857350050399255240 893072969165890875 952611167110283600 1055016867574639087 1071687562999069050 1143133400532340320 1190763958887854500 1428916750665425400 1714700100798510480 1786145938331781750 1905222334220567200 2110033735149278174 2143375125998138100 2381527917775709000 2679218907497672625 2857833501330850800 3165050602723917261 3429400201597020960 3572291876663563500 4220067470298556348 4286750251996276200 4763055835551418000 5275084337873195435 5358437814995345250 5715667002661701600 6330101205447834522 7144583753327127000 8440134940597112696 8573500503992552400 9495151808171751783 9526111671102836000 10550168675746390870 10716875629990690500 12660202410895669044 14289167506654254000 15825253013619586305 16880269881194225392 17147001007985104800 18990303616343503566 21100337351492781740 21433751259981381000 25320404821791338088 26375421689365977175 28578335013308508000 31650506027239172610 33760539762388450784 37980607232687007132 42200674702985563480 42867502519962762000 47475759040858758915 50640809643582676176 52750843378731954350 63301012054478345220 75961214465374014264 79126265068097931525 84401349405971126960 85735005039925524000 94951518081717517830 101281619287165352352 105501686757463908700 126602024108956690440 131877108446829885875 151922428930748028528 158252530136195863050 168802698811942253920 189903036163435035660 211003373514927817400 237378795204293794575 253204048217913380880 263754216893659771750 303844857861496057056 316505060272391726100 379806072326870071320 395631325340489657625 422006747029855634800 474757590408587589150 506408096435826761760 527508433787319543500 633010120544783452200 759612144653740142640 791262650680979315250 844013494059711269600 949515180817175178300 1055016867574639087000 1186893976021468972875 1266020241089566904400 1519224289307480285280 1582525301361958630500 1899030361634350356600 2110033735149278174000 2373787952042937945750 2532040482179133808800 3165050602723917261000 3798060723268700713200 4220067470298556348000 4747575904085875891500 6330101205447834522000 7596121446537401426400 9495151808171751783000 12660202410895669044000 18990303616343503566000 37980607232687007132000
- Sum of all divisors σ(n): 135097448601692940723360
- Sum of proper divisors (its aliquot sum) s(n): 97116841369005933591360
- 37980607232687007132000 is an abundant number, because the sum of its proper divisors (97116841369005933591360) is greater than itself. Its abundance is 59136234136318926459360
Bases of 37980607232687007132000
- Binary: 10000000101011101110110011101101100000111111010101010000000011101001011000002
- Hexadecimal: 0x80AEECED83F5500E960
- Base-36: 66NIUJ0CH5IAAG0
Squares and roots of 37980607232687007132000
- 37980607232687007132000 squared (379806072326870071320002) is 1442526525763636597916621536047418865424000000
- 37980607232687007132000 cubed (379806072326870071320003) is 54788033397761236504750712134034480991665380997105636203968000000000
-
The
square root of 37980607232687007132000 is 194886139149.7276471509 -
The
cube root of 37980607232687007132000 is 33614033.9714208109
Scales and comparisons
How big is 37980607232687007132000?- 37,980,607,232,687,007,132,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 37,980,607,232,687,007,132,000 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 37980607232687007132000 cubic inches would be around 2801169.5 feet tall.
Recreational maths with 37980607232687007132000
- 37980607232687007132000 backwards is 00023170078623270608973
- The number of decimal digits it has is: 23
- The sum of 37980607232687007132000's digits is 81
- More coming soon!
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The information we have on file for 37980607232687007132000 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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