137518738510208

Names of 137518738510208

• Cardinal: 137518738510208 can be written as One hundred thirty-seven trillion, five hundred eighteen billion, seven hundred thirty-eight million, five hundred ten thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.37518738510208 × 10¹⁴

Factors of 137518738510208

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1674

Divisors of 137518738510208

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 8 11 16 17 22 32 34 44 64 68 88 113 128 136 176 181 187 226 257 272 352 362 374 452 514 544 704 724 748 904 1028 1088 1093 1243 1408 1448 1496 1808 1921 1991 2056 2176 2186 2486 2827 2896 2992 3077 3616 3842 3982 4112 4369 4372 4972 5654 5792 5984 6154 7232 7684 7964 8224 8738 8744 9944 11308 11584 11968 12023 12308 14464 15368 15928 16448 17476 17488 18581 19888 20453 21131 22616 23168 23936 24046 24616 29041 30736 31856 32896 33847 34952 34976 37162 39776 40906 42262 45232 46517 48059 48092 49232 58082 61472 63712 67694 69904 69952 74324 79552 81812 84524 90464 93034 96118 96184 98464 116164 122944 123509 127424 135388 139808 139904 148648 159104 163624 169048 180928 186068 192236 192368 196928 197833 204391 224983 232328 245888 247018 254848 270776 279616 280901 297296 319451 327248 338096 347701 361856 372136 384472 384736 393856 395666 408782 449966 464656 493697 494036 511687 541552 559232 561802 594592 638902 654496 676192 695402 744272 768944 769472 790789 791332 817564 899932 929312 987394 988072 1023374 1083104 1123604 1189184 1277804 1308992 1352384 1358599 1390804 1488544 1537888 1538944 1581578 1582664 1635128 1799864 1858624 1974788 1976144 2046748 2099653 2166208 2176163 2247208 2378368 2555608 2617984 2704768 2717198 2781608 2977088 3075776 3089911 3163156 3165328 3270256 3363161 3599728 3717248 3824711 3949576 3952288 4093496 4199306 4332416 4352326 4494416 4775317 5111216 5256421 5430667 5434396 5563216 5954176 6151552 6179822 6326312 6330656 6540512 6726322 7199456 7649422 7899152 7904576 8186992 8398612 8698679 8704652 8988832 9550634 10222432 10512842 10861334 10868792 11126432 12359644 12652624 12661312 13081024 13452644 14398912 15298844 15798304 15809152 16373984 16797224 17397358 17409304 17977664 19101268 20444864 21025684 21722668 21737584 22252864 22355129 23096183 24719288 25305248 25322624 26162048 26905288 28797824 30597688 31596608 31741813 32747968 33594448 34794716 34818608 35955328 36994771 38202536 40889728 42051368 43445336 43475168 44505728 44710258 46192366 49438576 50610496 50843081 52528487 53810576 57820631 61195376 63193216 63483626 65495936 67188896 69589432 69637216 73989542 76405072 84102736 86890672 86950336 89359157 89420516 92384732 98877152 101220992 101686162 105056974 107621152 115641262 122390752 126967252 134377792 139178864 139274432 147979084 152810144 168205472 173781344 173900672 178718314 178841032 184769464 197754304 203372324 210113948 215242304 231282524 244781504 245906419 253934504 268755584 278357728 278548864 295958168 305620288 336410944 347562688 349159943 357436628 357682064 369538928 380037193 395508608 406744648 420227896 430484608 462565048 489563008 491812838 507869008 539610821 556715456 559273891 591916336 611240576 672821888 695125376 698319886 714873256 715364128 739077856 760074386 813489296 840455792 864332377 925130096 982950727 983625676 1015738016 1079221642 1113430912 1118547782 1183832672 1396639772 1429746512 1430728256 1478155712 1520148772 1626978592 1680911584 1728664754 1850260192 1965901454 1967251352 2031476032 2158443284 2237095564 2367665344 2793279544 2859493024 2861456512 2956311424 3040297544 3253957184 3361823168 3457329508 3700520384 3931802908 3934502704 4062952064 4180409123 4316886568 4474191128 4735330688 5586559088 5718986048 5745268153 5935719031 6080595088 6507914368 6723646336 6914659016 7401040768 7863605816 7869005408 8360818246 8633773136 8948382256 9507656147 11173118176 11437972096 11490536306 11871438062 12161190176 13829318032 15727211632 15738010816 16721636492 17267546272 17896764512 19015312294 22346236352 22981072612 23742876124 24322380352 27658636064 31454423264 31476021632 33443272984 34535092544 35793529024 38030624588 44692472704 45962145224 47485752248 48644760704 55317272128 62908846528 63197949683 66886545968 69070185088 71587058048 76061249176 91924290448 94971504496 97669558601 110634544256 125817693056 126395899366 133773091936 152122498352 183848580896 189943008992 195339117202 252791798732 267546183872 304244996704 367697161792 379886017984 390678234404 505583597464 535092367744 608489993408 735394323584 759772035968 781356468808 1011167194928 1074365144611 1216979986816 1562712937616 2022334389856 2148730289222 3125425875232 4044668779712 4297460578444 6250851750464 8089337559424 8594921156888 12501703500928 17189842313776 34379684627552 68759369255104 137518738510208
• Sum of all divisors σ(n): 322557540439680
• Sum of proper divisors (its aliquot sum) s(n): 185038801929472
• 137518738510208 is an abundant number, because the sum of its proper divisors (185038801929472) is greater than itself. Its abundance is 47520063419264

Bases of 137518738510208

• Binary: 11111010001001010010011100011110001000110000000₂
• Hexadecimal: 0x7D12938F1180
• Base-36: 1CQV8IA3CW

Squares and roots of 137518738510208

• 137518738510208 squared (137518738510208²) is 18911403441438964815320203264
• 137518738510208 cubed (137518738510208³) is 2600672344724292672478928779263651098918912
• The square root of 137518738510208 is 11726838.3850980057
• The cube root of 137518738510208 is 51616.3503198295

Scales and comparisons

• 137,518,738,510,208 seconds is equal to 4,372,670 years, 26 weeks, 4 days, 2 hours, 10 minutes, 8 seconds.
• To count from 1 to 137,518,738,510,208 would take you about ten million, nine hundred thirty-one thousand, six hundred seventy-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 137518738510208 cubic inches would be around 4301.4 feet tall.

Recreational maths with 137518738510208

• 137518738510208 backwards is 802015837815731
• The number of decimal digits it has is: 15
• The sum of 137518738510208's digits is 59
• More coming soon!