137682757522990407
137,682,757,522,990,407 is an odd composite number composed of five prime numbers multiplied together.
What does the number 137682757522990407 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
137682757522990407 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 137682757522990407:
3 × 75 × 133 × 192 × 1513
(3 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 19 × 19 × 151 × 151 × 151)See below for interesting mathematical facts about the number 137682757522990407 from the Numbermatics database.
Names of 137682757522990407
- Cardinal: 137682757522990407 can be written as One hundred thirty-seven quadrillion, six hundred eighty-two trillion, seven hundred fifty-seven billion, five hundred twenty-two million, nine hundred ninety thousand, four hundred seven.
Scientific notation
- Scientific notation: 1.37682757522990407 × 1017
Factors of 137682757522990407
Divisors of 137682757522990407
- Number of divisors d(n): 576
-
Complete list of divisors:
1 3 7 13 19 21 39 49 57 91 133 147 151 169 247 273 343 361 399 453 507 637 741 931 1029 1057 1083 1183 1729 1911 1963 2197 2401 2527 2793 2869 3171 3211 3549 4459 4693 5187 5889 6517 6591 7203 7399 7581 8281 8607 9633 12103 13377 13741 14079 15379 16807 17689 19551 20083 22197 22477 22801 24843 25519 31213 32851 36309 37297 41223 41743 45619 46137 50421 51793 53067 54511 57967 60249 61009 67431 68403 76557 84721 93639 96187 98553 107653 111891 123823 125229 136857 140581 155379 157339 159607 163533 173901 178633 183027 218491 229957 254163 261079 288561 292201 296413 319333 322959 331747 362551 371469 381577 405769 421743 427063 433219 472017 478821 484861 535899 593047 655473 673309 689871 708643 753571 783237 793117 866761 876603 889239 957999 984067 995241 1087653 1101373 1117249 1144731 1217307 1250431 1281189 1299657 1454583 1609699 1779141 1827553 2019927 2045407 2074891 2125929 2260713 2322229 2379351 2537857 2600283 2671039 2840383 2952201 2989441 3032533 3304119 3351747 3394027 3442951 3751293 3853369 4151329 4713163 4829097 4960501 5274997 5482659 5551819 5631847 6067327 6136221 6224673 6303193 6888469 6966687 7613571 7709611 7820743 8013117 8231161 8521149 8753017 8968323 9097599 9212359 10182081 10328853 11267893 11560107 12453987 12792871 14139489 14317849 14524237 14881503 15824991 16255603 16655457 16895541 18201981 18697273 18909579 20665407 20926087 21227731 23128833 23462229 23758189 24100657 24693483 26259051 26973583 27637077 32992141 33803679 34723507 36924979 38378613 38862733 39422929 42953547 43572711 44122351 44758363 48219283 48766809 50093797 53967277 54745201 56091819 57618127 61271119 62778261 63683193 64486513 65416069 71274567 72301971 73214011 78875251 80920749 89550097 98976423 100224943 101669659 104170521 107005093 110774937 113789221 116588199 118268787 119760667 130880911 132367053 134275089 144657849 146482609 148594117 150281391 161901831 164235603 166307323 168704599 172854381 183813357 188815081 193459539 196248207 219642033 236625753 243064549 268650291 272039131 275960503 300674829 305008977 308856457 313308541 321015279 341367663 350656579 359282001 383216407 392642733 403326889 428897833 439447827 445782351 451405591 457912483 498921969 506113797 512498077 566445243 581858719 626850679 701574601 711687613 729193647 749035651 796524547 816117393 827881509 838324669 850408897 916166377 926569371 939925623 951782143 1025378263 1040158819 1051969737 1149649221 1164151261 1180932193 1209980667 1242905311 1286693499 1321705567 1354216773 1373737449 1391066209 1537494231 1701451843 1745576157 1880552037 1904273917 1931723521 2104723803 2135062839 2161995199 2193159787 2247106953 2389573641 2454596053 2514974007 2551226691 2748499131 2823288223 2855346429 3076134789 3120476457 3159839137 3205387381 3492453783 3542796579 3587486539 3728715933 3965116701 4073011033 4173198627 4981813291 5104355529 5243249557 5575671829 5712821751 5795170563 5868272683 5952862279 6485985597 6579479361 6662475001 7281111733 7363788159 7564163347 8149058827 8266525351 8469864669 8700337177 9251938969 9479517411 9616162143 9737463463 10762459617 11055315661 11910162901 12219033099 13329917419 13522064647 14945439873 15133966393 15352118509 15729748671 16157769043 16727015487 17182172371 17604818049 17858586837 18083860717 19763017561 19987425003 21843335199 22118873959 22437711667 22692490041 24447176481 24799576053 25112405773 26101011531 27755816907 28511077231 29212390389 33165946983 35730488703 36702746899 39989752257 40566193941 41077908781 41670035953 45401899179 46056355527 46637325007 48473307129 51546517113 52949143429 54251582151 57865677457 59289052683 60902360239 64763572783 66356621877 67313135001 68162244241 75337217319 77387209627 85533231693 94654452529 105937764751 107464829563 110108240697 113104383301 120275206597 123233726343 125010107859 126587025019 138341122927 139911975021 143719103593 154832117713 157063981669 158847430287 173597032371 175786840411 182707080717 194290718349 199577540617 204486732723 210050997559 232161628881 256919228293 283963357587 287545361467 291690251671 317813294253 322394488689 326461275049 339313149903 360825619791 370644004003 379761075057 415023368781 426316521673 431157310779 464496353139 471191945007 477135709687 527360521233 541710467389 598732621851 630152992677 752253806941 770757684879 791730683107 841926446179 862636084401 875070755013 886109175133 979383825147 1006033725151 1099447871683 1111932012009 1230507882877 1278949565019 1397042784319 1431407129061 1470356982913 1625131402167 1798434598051 2012817530269 2041831761697 2256761420823 2285228925343 2375192049321 2525779338537 2594508028021 2658327525399 2730662968267 2984215651711 3018101175453 3298343615049 3339949967809 3691523648631 3791973271723 4191128352957 4411070948739 5395303794153 5542114781749 6038452590807 6125495285091 6202764225931 6855686776029 7042236076057 7783524084063 8191988904801 8952646955133 9779299490233 10019849903427 10292498880391 11375919815169 14292822331879 15996602477401 16626344345247 18161556196147 18608292677793 19114640777869 20889509561977 21126708228171 23379649774663 26543812902061 29337898470699 30877496641173 38794803472243 42878466995637 43419349581517 47989807432203 49295652532399 54484668588441 57343922333607 62668528685931 70138949323989 72047492162737 79631438706183 116384410416729 127130893373029 130258048744551 133802485445083 147886957597197 185806690314427 216142476488211 271563624305701 303935447070619 345069567726793 381392680119087 401407456335249 504332445139159 557420070943281 814690872917103 911806341211857 936617398115581 1035208703180379 1512997335417477 2415486974087551 2809852194346743 3530327115974113 6556321786809067 7246460922262653 10590981347922339 19668965360427201 45894252507663469 137682757522990407
- Sum of all divisors σ(n): 246497064440739840
- Sum of proper divisors (its aliquot sum) s(n): 108814306917749433
- 137682757522990407 is a deficient number, because the sum of its proper divisors (108814306917749433) is less than itself. Its deficiency is 28868450605240974
Bases of 137682757522990407
- Binary: 1111010010010010110111101000011011101101010100101010001112
- Hexadecimal: 0x1E925BD0DDAA547
- Base-36: 11NOGPMDQFD3
Squares and roots of 137682757522990407
- 137682757522990407 squared (1376827575229904072) is 18956541719134571514143163814025649
- 137682757522990407 cubed (1376827575229904073) is 2609988936990056929083564530570026122399239478949143
-
The
square root of 137682757522990407 is 371056272.7174820407 -
The
cube root of 137682757522990407 is 516368.6315880729
Scales and comparisons
How big is 137682757522990407?- 137,682,757,522,990,407 seconds is equal to 4,377,885,808 years, 25 weeks, 6 days, 20 hours, 53 minutes, 27 seconds.
-
To count from 1 to 137,682,757,522,990,407 would take you about thirteen billion, one hundred thirty-three million, six hundred fifty-seven thousand, four hundred twenty-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 137682757522990407 cubic inches would be around 43030.7 feet tall.
Recreational maths with 137682757522990407
- 137682757522990407 backwards is 704099225757286731
- The number of decimal digits it has is: 18
- The sum of 137682757522990407's digits is 84
- More coming soon!
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The information we have on file for 137682757522990407 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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