137939680232991

Names of 137939680232991

• Cardinal: 137939680232991 can be written as One hundred thirty-seven trillion, nine hundred thirty-nine billion, six hundred eighty million, two hundred thirty-two thousand, nine hundred ninety-one.

Scientific notation

• Scientific notation: 1.37939680232991 × 10¹⁴

Factors of 137939680232991

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 247

Divisors of 137939680232991

• Number of divisors d(n): 360
• Complete list of divisors:
  1 3 7 9 13 21 39 49 63 91 97 117 127 147 169 273 291 343 381 441 507 637 679 819 873 889 1029 1143 1183 1261 1521 1651 1911 2037 2197 2667 3087 3549 3783 4459 4753 4953 5733 6111 6223 6591 8001 8281 8827 10647 11349 11557 12319 13377 14259 14859 15379 16129 16393 18669 19773 21463 24843 26481 28561 33271 34671 36957 40131 42777 43561 46137 48387 49179 56007 57967 61789 64389 74529 79443 80899 85683 86233 99813 104013 107653 110871 112903 114751 130683 138411 145161 147537 150241 160147 173901 185367 193167 199927 209677 213109 242697 257049 258699 279019 299439 322959 338709 344253 392049 432523 450723 480441 521703 556101 566293 599781 603631 629031 639327 728091 753571 776097 790321 803257 837057 968877 1016127 1032759 1051687 1121029 1297569 1352169 1399489 1441323 1467739 1491763 1564513 1698879 1799343 1810893 1887093 1917981 1953133 2081911 2260713 2370963 2409771 2511171 2725801 2770417 3155061 3363087 3627247 3892707 4198467 4225417 4403217 4475289 4693539 5096637 5432679 5532247 5622799 5859399 6245733 6782139 7112889 7229313 7361809 7847203 8177403 8311251 9465183 9796423 10089261 10274173 10442341 10881741 10951591 12595401 12676251 13209651 13425867 13671931 14080617 14573377 16596741 16868397 17578197 18737199 19080607 19392919 20338669 22085427 23541609 24532209 24933753 25390729 27064843 29389269 30822519 31327023 32645223 32854773 35435413 38028753 41015793 43720131 49790223 50605191 54930421 57241821 58178757 61016007 66256281 70624827 71919211 73096387 76172187 76661137 81194529 88167807 92467557 93981069 95703517 98564319 102013639 106306239 123047379 131160393 133564249 135750433 142370683 164791263 171725463 174536271 177735103 183048021 189453901 215757633 219289161 228516561 229983411 243583587 248047891 264402697 287110551 306040917 318918717 351842959 400692747 407251299 427112049 460660369 494373789 533205309 536627959 568361703 647272899 657867483 689950233 714095473 744143673 793208091 861331653 918122751 934949743 950253031 996594781 1055528877 1202078241 1221753897 1244145721 1281336147 1326177307 1381981107 1599615927 1609883877 1705085109 1736335237 1850818879 2142286419 2232431019 2379624273 2462900713 2804849229 2850759093 2989784343 3166586631 3224622583 3437235061 3732437163 3978531921 4145943321 4829651631 5209005711 5552456637 6426859257 6976163467 7388702139 8414547687 8552277279 8969353029 9283241149 9673867749 10311705183 11197311489 11935595763 12154346659 12955732153 15627017133 16657369911 17240304991 20928490401 22166106417 22572358081 24060645427 27849723447 29021603247 30935115549 36463039977 38867196459 44684055793 51720914973 62785471203 67717074243 72181936281 83549170341 90690125071 109389119931 116601589377 120682134937 134052167379 155162744919 158006506567 168424517989 203151222729 216545808843 272070375213 312788390551 362046404811 402156502137 474019519701 505273553967 816211125639 938365171653 1086139214433 1178971625923 1422058559103 1515820661901 2189518733857 2815095514959 3536914877769 6568556201571 10610744633307 15326631136999 19705668604713 45979893410997 137939680232991
• Sum of all divisors σ(n): 256332793735200
• Sum of proper divisors (its aliquot sum) s(n): 118393113502209
• 137939680232991 is a deficient number, because the sum of its proper divisors (118393113502209) is less than itself. Its deficiency is 19546566730782

Bases of 137939680232991

• Binary: 11111010111010010010101101001000000011000011111₂
• Hexadecimal: 0x7D7495A4061F
• Base-36: 1CW8M443DR

Squares and roots of 137939680232991

• 137939680232991 squared (137939680232991²) is 19027355382779808020044806081
• 137939680232991 cubed (137939680232991³) is 2624627317180126786735664386873453493618271
• The square root of 137939680232991 is 11744772.4640791147
• The cube root of 137939680232991 is 51668.9621655145

Scales and comparisons

• 137,939,680,232,991 seconds is equal to 4,386,055 years, 8 weeks, 18 hours, 29 minutes, 51 seconds.
• To count from 1 to 137,939,680,232,991 would take you about ten million, nine hundred sixty-five thousand, one hundred thirty-seven 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 137939680232991 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137939680232991

• 137939680232991 backwards is 199232086939731
• The number of decimal digits it has is: 15
• The sum of 137939680232991's digits is 72
• More coming soon!