146101976955951138

Names of 146101976955951138

• Cardinal: 146101976955951138 can be written as One hundred forty-six quadrillion, one hundred one trillion, nine hundred seventy-six billion, nine hundred fifty-five million, nine hundred fifty-one thousand, one hundred thirty-eight.

Scientific notation

• Scientific notation: 1.46101976955951138 × 10¹⁷

Factors of 146101976955951138

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 4221

Divisors of 146101976955951138

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 6 9 18 27 54 67 81 103 127 134 162 201 206 254 309 381 402 603 618 762 927 1143 1206 1809 1854 2286 2781 3429 3618 3919 4489 5427 5562 6858 6901 7838 8343 8509 8978 10287 10854 11757 13081 13467 13802 16686 17018 20574 20703 23514 25527 26162 26934 35271 39243 40401 41406 51054 62109 70542 76581 78486 80802 105813 117729 121203 124218 153162 186327 211626 229743 235458 242406 262573 317439 353187 363609 372654 403657 459486 462367 497713 525146 558981 570103 634878 689229 706374 727218 787719 807314 876427 924734 995426 1059561 1117962 1140206 1210971 1378458 1387101 1493139 1575438 1710309 1752854 2119122 2363157 2421942 2629281 2774202 2986278 3420618 3632913 4161303 4479417 4726314 5130927 5258562 7089471 7265826 7887843 8322606 8958834 10261854 10898739 12483909 13438251 14178942 15358561 15392781 15775686 17592391 21268413 21797478 23663529 24967818 26876502 27045019 30717122 30785562 32696217 33346771 35184782 37451727 40314753 42536826 46075683 46178343 47327058 51264439 52777173 54090038 58720609 65392434 66693542 70990587 74903454 80629506 81135057 92151366 92356686 100040313 102528878 105554346 117441218 138227049 141981174 153793317 158331519 162270114 176161827 200080626 243405171 276454098 300120939 307586634 316663038 352323654 414681147 461379951 474994557 486810342 528485481 600241878 730215513 829362294 900362817 922759902 949989114 1029023587 1056970962 1244043441 1384139853 1424983671 1460431026 1581931783 1585456443 1800725634 1812016273 1950537247 2058047174 2190646539 2234233657 2488086882 2701088451 2768279706 2849967342 3087070761 3163863566 3170912886 3434717413 3624032546 3901074494 4152419559 4381293078 4468467314 4745795349 4756369329 5402176902 5436048819 5851611741 6174141522 6702700971 6869434826 8304839118 9261212283 9491590698 9512738658 10304152239 10872097638 11703223482 13405401942 14237386047 16308146457 17554835223 18522424566 20108102913 20608304478 27783636849 28474772094 30912456717 32616292914 35109670446 40216205826 42712158141 48924439371 52664505669 55567273698 60324308739 61824913434 68944580329 83350910547 85424316282 92737370151 97848878742 105329011338 105989429461 120648617478 128136474423 130685995549 137889160658 146773318113 157993517007 166701821094 180972926217 185474740302 200905336441 206833740987 211978858922 230126066671 256272948846 261371991098 278212110453 293546636226 315987034014 317968288383 361945852434 392057986647 401810672882 413667481974 460252133342 556424220906 602716009323 620501222961 635936576766 690378200013 784115973294 953904865149 1176173959941 1205432018646 1241002445922 1380756400026 1808148027969 1861503668883 1907809730298 2071134600039 2352347919882 2861714595447 3528521879823 3616296055938 3723007337766 4142269200078 5424444083907 5584511006649 5723429190894 6213403800117 7057043759646 7101291773887 8585143786341 8755961701783 10585565639469 10848888167814 11169022013298 12426807600234 13460657541547 14202583547774 16273332251721 17170287572682 17511923403566 18640211400351 21171131278938 21303875321661 26267885105349 26921315083094 32546664503442 37280422800702 40381972624641 42607750643322 52535770210698 63911625964983 78803655316047 80763945249282 121145917873923 127823251929966 157607310632094 191734877894949 236410965948141 242291835747846 363437753621769 383469755789898 472821931896282 575204633684847 709232897844423 726875507243538 901864055283649 1090313260865307 1150409267369694 1418465795688846 1803728110567298 2180626521730614 2705592165850947 5411184331701894 8116776497552841 16233552995105682 24350329492658523 48700658985317046 73050988477975569 146101976955951138
• Sum of all divisors σ(n): 338290904578378752
• Sum of proper divisors (its aliquot sum) s(n): 192188927622427614
• 146101976955951138 is an abundant number, because the sum of its proper divisors (192188927622427614) is greater than itself. Its abundance is 46086950666476476

Bases of 146101976955951138

• Binary: 1000000111000011101111100101010101011100010001100000100010₂
• Hexadecimal: 0x2070EF955711822
• Base-36: 13YKTTMUBC4I

Squares and roots of 146101976955951138

• 146101976955951138 squared (146101976955951138²) is 21345787670437277356339954243495044
• 146101976955951138 cubed (146101976955951138³) is 3118661778332853020882207689139021848543960409160072
• The square root of 146101976955951138 is 382232883.1431842391
• The cube root of 146101976955951138 is 526686.3110144371

Scales and comparisons

• 146,101,976,955,951,138 seconds is equal to 4,645,590,944 years, 5 weeks, 5 days, 20 hours, 12 minutes, 18 seconds.
• To count from 1 to 146,101,976,955,951,138 would take you about thirteen billion, nine hundred thirty-six million, seven hundred seventy-two thousand, eight hundred thirty-two 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 146101976955951138 cubic inches would be around 43890.5 feet tall.

Recreational maths with 146101976955951138

• 146101976955951138 backwards is 831159559679101641
• 146101976955951138 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 146101976955951138's digits is 81
• More coming soon!