138312106171305885

Names of 138312106171305885

• Cardinal: 138312106171305885 can be written as One hundred thirty-eight quadrillion, three hundred twelve trillion, one hundred six billion, one hundred seventy-one million, three hundred five thousand, eight hundred eighty-five.

Scientific notation

• Scientific notation: 1.38312106171305885 × 10¹⁷

Factors of 138312106171305885

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 665045

Divisors of 138312106171305885

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 5 7 9 13 15 21 27 35 39 45 49 61 63 65 91 105 117 135 147 183 189 195 245 273 305 315 351 427 441 455 549 585 637 735 793 819 915 945 1281 1323 1365 1647 1755 1911 2135 2205 2379 2457 2745 2989 3185 3843 3965 4095 5551 5733 6405 6615 7137 8235 8967 9555 11529 11895 12285 14945 16653 17199 19215 21411 26901 27755 28665 35685 38857 42349 44835 49959 57645 80703 83265 85995 107055 116571 127047 134505 149877 194285 211745 249795 296443 349713 381141 403515 550537 582855 622607 635235 749385 889329 1049139 1143423 1482215 1651611 1748565 1867821 1905705 2075101 2583289 2667987 2752685 3113035 3853759 4358249 4446645 4954833 5245695 5603463 5717115 6225303 7749867 8003961 8093891 8258055 9339105 10375505 11561277 12916445 13074747 13339935 14864499 16810389 18083023 18675909 19268795 21791245 23249601 24281673 24774165 26976313 28017315 30507743 31126515 33582757 34683831 37979027 38749335 39224241 40019805 40469455 54249069 56027727 56657237 57806385 65373735 69748803 72845019 74322495 80928939 84051945 90415115 91523229 93379545 100748271 104051493 113937081 116248005 117672723 121408365 126581161 134881565 152538715 162747207 167913785 169971711 173419155 189895135 196121205 218535057 235079299 242786817 265853189 271245345 274569687 280138635 283286185 302244813 341811243 348744015 364225095 379743483 396600659 404644695 457616145 488241621 493727351 503741355 509915133 520257465 569685405 588363615 632905805 705237897 728360451 797559567 813736035 823709061 849858555 906734439 1025433729 1092675285 1139230449 1175396495 1189801977 1213934085 1329265945 1372848435 1481182053 1511224065 1529745399 1645555093 1709056215 1860972323 1898717415 1983003295 2115713691 2392678701 2441208105 2468636755 2549575665 3417691347 3456091457 3526189485 3569405931 3641802255 3987797835 4118545305 4443546159 4533672195 4936665279 5127168645 5582916969 5696152245 5949009885 6347141073 7178036103 7405910265 7648726995 8227775465 9304861615 10368274371 10578568455 10708217793 11963393505 13330638477 14809995837 16748750907 17088456735 17280457285 17847029655 22217730795 24192640199 24683326395 26366783843 27914584845 31104823113 31735705365 35890180515 44429987511 50246252721 51841371855 53541088965 66653192385 72577920597 74049979185 79100351529 83743754535 93314469339 120963200995 131833919215 155524115565 184567486901 217733761791 222149937555 237301054587 251231263605 342768189959 362889602985 395501757645 466572346695 553702460703 653201285373 711903163761 922837434505 1028304569877 1088668808955 1186505272935 1291972408307 1608373814423 1661107382109 1713840949795 2399377329713 2768512303515 3084913709631 3266006426865 3559515818805 3875917224921 4825121443269 4983322146327 5141522849385 6459862041535 7198131989139 8041869072115 8305536910545 9254741128893 11258616700961 11627751674763 11996886648565 14475364329807 15424568548155 16795641307991 19379586124605 20908859587499 21594395967417 24125607216345 24916610731635 33775850102883 34883255024289 35990659945695 43426092989421 46273705644465 50386923923973 56293083504805 58138758373815 62726578762497 64783187902251 72376821649035 78810316906727 83978206539955 101327550308649 104544297937495 107971979837085 146362017112493 151160771771919 168879250514415 174416275121445 188179736287491 217130464947105 236430950720181 251934619619865 303982650925947 313632893812485 323915939511255 394051584533635 439086051337479 453482315315757 506637751543245 564539208862473 709292852160543 731810085562465 755803858859595 940898681437455 1024534119787451 1182154753600905 1317258154012437 1519913254629735 2127878556481629 2195430256687395 2267411576578785 2822696044312365 3073602359362353 3546464260802715 3951774462037311 5122670598937255 6586290770062185 9220807078087059 10639392782408145 15368011796811765 19758872310186555 27662421234261177 46104035390435295 138312106171305885
• Sum of all divisors σ(n): 313093415238912000
• Sum of proper divisors (its aliquot sum) s(n): 174781309067606115
• 138312106171305885 is an abundant number, because the sum of its proper divisors (174781309067606115) is greater than itself. Its abundance is 36469202896300230

Bases of 138312106171305885

• Binary: 111101011011000100010000010110100011110100000111110011101₂
• Hexadecimal: 0x1EB6220B47A0F9D
• Base-36: 11TVJSEDN259

Squares and roots of 138312106171305885

• 138312106171305885 squared (138312106171305885²) is 19130238713542591478433326235633225
• 138312106171305885 cubed (138312106171305885³) is 2645943608029929021164442050641962957610718144029125
• The square root of 138312106171305885 is 371903355.9559605331
• The cube root of 138312106171305885 is 517154.2104657167

Scales and comparisons

• 138,312,106,171,305,885 seconds is equal to 4,397,897,148 years, 42 weeks, 1 day, 21 hours, 24 minutes, 45 seconds.
• To count from 1 to 138,312,106,171,305,885 would take you about thirteen billion, one hundred ninety-three million, six hundred ninety-one thousand, four hundred forty-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 138312106171305885 cubic inches would be around 43096.2 feet tall.

Recreational maths with 138312106171305885

• 138312106171305885 backwards is 588503171601213831
• 138312106171305885 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138312106171305885's digits is 63
• More coming soon!