137345214006

Names of 137345214006

• Cardinal: 137345214006 can be written as One hundred thirty-seven billion, three hundred forty-five million, two hundred fourteen thousand and six.

Scientific notation

• Scientific notation: 1.37345214006 × 10¹¹

Factors of 137345214006

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 182

Divisors of 137345214006

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 6 7 9 11 13 14 18 19 21 22 26 27 33 38 39 42 54 57 63 66 77 78 81 91 99 114 117 126 127 133 143 154 162 169 171 182 189 198 209 231 234 243 247 254 266 273 286 297 338 342 351 378 381 399 418 429 462 486 494 507 513 546 567 594 627 693 702 729 741 762 798 819 858 889 891 1001 1014 1026 1053 1134 1143 1183 1197 1254 1287 1386 1397 1458 1463 1482 1521 1539 1638 1651 1701 1729 1778 1782 1859 1881 2002 2079 2106 2187 2223 2286 2366 2394 2413 2457 2574 2667 2673 2717 2794 2926 3003 3042 3078 3159 3211 3302 3402 3429 3458 3549 3591 3718 3762 3861 4158 4191 4374 4389 4446 4563 4617 4826 4914 4953 5103 5187 5334 5346 5434 5577 5643 6006 6237 6318 6422 6669 6858 7098 7182 7239 7371 7722 8001 8019 8151 8382 8778 9009 9126 9234 9477 9633 9779 9906 10206 10287 10374 10647 10773 11154 11286 11557 11583 12474 12573 13013 13167 13338 13689 13851 14478 14742 14859 15309 15561 16002 16038 16302 16731 16891 16929 18018 18161 18711 18954 19019 19266 19558 20007 20574 21294 21463 21546 21717 22113 22477 23114 23166 24003 24057 24453 25146 26026 26334 26543 27027 27378 27702 28431 28899 29337 29718 30618 30861 31122 31369 31941 32319 33462 33782 33858 34671 34749 35321 36322 37422 37719 38038 39039 39501 40014 41067 41553 42926 43434 44226 44577 44954 46683 48006 48114 48906 50193 50673 50787 53086 54054 54483 56133 56862 57057 57798 58674 60021 61722 62738 63882 64389 64638 65151 66339 67431 69342 69498 70642 72009 73359 75438 78078 79002 79629 81081 82134 83106 86697 88011 89154 92583 93366 94107 95823 96957 100386 101346 101574 104013 104247 105963 108966 112266 113157 114114 117117 118503 120042 123201 127127 128778 130302 132678 133731 134862 140049 144018 146718 150241 150579 152019 152361 159258 162162 163449 168399 171171 173394 176022 180063 185166 185801 188214 191646 193167 193914 195453 199017 202293 208026 208494 211926 216027 219583 220077 226314 234234 236093 237006 238887 243243 246402 247247 254254 260091 264033 267462 277749 280098 282321 287469 290871 300482 301158 304038 304722 312039 312741 317889 326898 336798 339471 342342 345059 351351 355509 360126 369603 371602 381381 386334 390906 398034 401193 404586 407797 420147 432054 439166 440154 450723 451737 456057 457083 472186 477774 486486 490347 494494 513513 520182 528066 540189 555498 557403 564642 574938 579501 581742 586359 606879 624078 625482 635778 648081 658749 660231 678942 690118 702702 708279 711018 716661 729729 739206 741741 762762 780273 792099 802386 815594 840294 846963 862407 901446 903474 912114 914166 936117 953667 980694 1018413 1027026 1035177 1054053 1066527 1080378 1114806 1144143 1159002 1172718 1203579 1213758 1223391 1260441 1296162 1317498 1320462 1352169 1355211 1368171 1416558 1433322 1459458 1471041 1483482 1540539 1560546 1584198 1652651 1672209 1693926 1724814 1738503 1759077 1820637 1872234 1907334 1944243 1976247 1980693 2036826 2070354 2108106 2124837 2133054 2149983 2189187 2225223 2288286 2340819 2376297 2407158 2415413 2446782 2520882 2540889 2587221 2704338 2710422 2736342 2808351 2854579 2861001 2942082 3055239 3081078 3105531 3162159 3199581 3305302 3344418 3432429 3477006 3518154 3610737 3641274 3670173 3781323 3888486 3952494 3961386 4056507 4065633 4104513 4249674 4299966 4378374 4413123 4450446 4485767 4621617 4681638 4752594 4830826 4957953 5016627 5081778 5174442 5215509 5277231 5461911 5616702 5709158 5722002 5928741 5942079 6110478 6211062 6324318 6374511 6399162 6449949 6675669 6864858 7022457 7128891 7221474 7246239 7340346 7562646 7622667 8113014 8131266 8209026 8425053 8563737 8583003 8826246 8971534 9243234 9316593 9486477 9915906 10033254 10297287 10431018 10554462 10923822 11010519 11857482 11884158 12169521 12313539 12749022 12899898 13239369 13351338 13457301 13864851 14044914 14257782 14492478 14873859 15049881 15245334 15646527 16385733 16850106 17127474 17166006 17786223 18633186 18972954 19123533 19349847 20027007 20594574 21386673 21738717 22021038 22868001 24339042 24627078 25275159 25691211 25749009 26478738 26914602 27729702 27949779 28459431 29747718 30099762 30891861 31293054 31400369 32771466 33031557 35572446 36508563 36940617 38247066 38699694 39718107 40054014 40371903 41594553 42773346 43477434 44621577 45149643 45736002 46939581 49157199 50550318 51382422 51498018 53358669 55899558 56918862 57370599 58049541 60081021 61783722 62800738 65216151 66063114 68604003 73017126 73881234 77073633 77247027 79436214 80743806 83189106 83849337 89243154 90299286 92675583 93879162 94201107 98314398 99094671 106717338 109525689 114741198 116099082 120162042 121115709 130432302 133864731 135448929 137208006 154147266 154494054 160076007 167698674 172111797 180243063 185351166 188402214 195648453 198189342 219051378 231220899 242231418 251548011 267729462 270897858 278026749 282603321 297284013 320152014 328577067 344223594 360486126 363347127 391296906 401594193 406346787 462441798 480228021 503096022 516335391 540729189 556053498 565206642 586945359 594568026 657154134 693662697 726694254 754644033 803188386 812693574 847809963 891852039 960456042 1032670782 1081458378 1090041381 1173890718 1204782579 1387325394 1509288066 1695619926 1760836077 1783704078 2080988091 2180082762 2409565158 2543429889 3270124143 3521672154 3614347737 4161976182 5086859778 5282508231 6242964273 6540248286 7228695474 7630289667 9810372429 10565016462 12485928546 15260579334 19620744858 22890869001 45781738002 68672607003 137345214006
• Sum of all divisors σ(n): 442544947200
• Sum of proper divisors (its aliquot sum) s(n): 305199733194
• 137345214006 is an abundant number, because the sum of its proper divisors (305199733194) is greater than itself. Its abundance is 167854519188

Bases of 137345214006

• Binary: 1111111111010011010011010011000110110₂
• Hexadecimal: 0x1FFA69A636
• Base-36: 1R3FSLDI

Squares and roots of 137345214006

• 137345214006 squared (137345214006²) is 18863707810353938568036
• 137345214006 cubed (137345214006³) is 2590839986159715355231881611112216
• The square root of 137345214006 is 370601.1521919489
• The cube root of 137345214006 is 5159.4630924591

Scales and comparisons

• 137,345,214,006 seconds is equal to 4,367 years, 7 weeks, 6 days, 16 hours, 20 minutes, 6 seconds.
• To count from 1 to 137,345,214,006 would take you about eight thousand, seven hundred thirty-four 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 137345214006 cubic inches would be around 430 feet tall.

Recreational maths with 137345214006

• 137345214006 backwards is 600412543731
• The number of decimal digits it has is: 12
• The sum of 137345214006's digits is 36
• More coming soon!