138314293668096

Names of 138314293668096

• Cardinal: 138314293668096 can be written as One hundred thirty-eight trillion, three hundred fourteen billion, two hundred ninety-three million, six hundred sixty-eight thousand and ninety-six.

Scientific notation

• Scientific notation: 1.38314293668096 × 10¹⁴

Factors of 138314293668096

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 71173

Divisors of 138314293668096

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 128 147 156 168 169 182 192 196 208 224 256 273 294 307 312 336 338 364 384 392 416 448 507 546 588 614 624 637 672 676 728 768 784 832 896 921 1014 1092 1176 1183 1228 1248 1274 1344 1352 1456 1568 1664 1792 1842 1911 2028 2149 2184 2352 2366 2456 2496 2548 2688 2704 2912 3136 3328 3549 3684 3822 3991 4056 4298 4368 4704 4732 4912 4992 5096 5376 5408 5824 6272 6447 7098 7368 7644 7982 8112 8281 8596 8736 9408 9464 9824 9984 10192 10816 11648 11973 12544 12894 14196 14736 15043 15288 15964 16224 16562 17192 17472 18816 18928 19648 20384 21632 23296 23946 24843 25788 27937 28392 29472 30086 30576 31928 32448 33124 34384 34944 37632 37856 39296 40768 43264 45129 47892 49686 51576 51883 55874 56784 58944 60172 61152 63856 64896 66248 68768 69888 70841 75712 78592 81536 83811 90258 95784 99372 103152 103766 111748 113568 117888 120344 122304 127712 129792 132496 137536 141682 151424 155649 163072 167622 180516 191568 195559 198744 206304 207532 212523 223496 227136 235776 240688 244608 255424 264992 275072 283364 302848 311298 335244 361032 363181 383136 391118 397488 412608 415064 425046 446992 454272 481376 489216 495887 510848 529984 550144 566728 586677 622596 670488 722064 726362 766272 782236 794976 825216 830128 850092 893984 908544 920933 962752 991774 1021696 1059968 1089543 1133456 1173354 1245192 1340976 1444128 1452724 1487661 1532544 1564472 1589952 1650432 1660256 1700184 1787968 1841866 1925504 1983548 2119936 2179086 2266912 2346708 2490384 2542267 2681952 2762799 2888256 2905448 2975322 3065088 3128944 3179904 3320512 3400368 3471209 3575936 3683732 3851008 3967096 4358172 4533824 4693416 4980768 5084534 5363904 5525598 5776512 5810896 5950644 6257888 6359808 6446531 6641024 6800736 6942418 7151872 7367464 7626801 7934192 8716344 9067648 9386832 9961536 10169068 10413627 10727808 11051196 11553024 11621792 11901288 11972129 12515776 12893062 13282048 13601472 13884836 14734928 15253602 15868384 17432688 18135296 18773664 19339593 19923072 20338136 20827254 21455616 21748187 22102392 23243584 23802576 23944258 25031552 25786124 27202944 27769672 29469856 30507204 31736768 34865376 35916387 37547328 38679186 39846144 40676272 41654508 43496374 44204784 45125717 46487168 47605152 47888516 50063104 51572248 54405888 55539344 58939712 61014408 63473536 65244561 69730752 71832774 75094656 77358372 81352544 83309016 83804903 86992748 88409568 90251434 92974336 95210304 95777032 103144496 111078688 117879424 122028816 126947072 130489122 135377151 139461504 143665548 150189312 152237309 154716744 162705088 166618032 167609806 173985496 176819136 180502868 190420608 191554064 206288992 222157376 235758848 244057632 251414709 260978244 270754302 278923008 282726431 287331096 304474618 309433488 325410176 333236064 335219612 347970992 353638272 361005736 380841216 383108128 412577984 444314752 456711927 488115264 502829418 521956488 541508604 565452862 574662192 586634321 608949236 618866976 650820352 666472128 670439224 695941984 707276544 722011472 766216256 825155968 848179293 888629504 913423854 976230528 1005658836 1043912976 1065661163 1083017208 1130905724 1149324384 1173268642 1217898472 1237733952 1332944256 1340878448 1391883968 1444022944 1532432512 1650311936 1696358586 1759902963 1826847708 1952461056 1979085017 2011317672 2087825952 2131322326 2166034416 2261811448 2298648768 2346537284 2435796944 2475467904 2665888512 2681756896 2783767936 2888045888 3064865024 3196983489 3392717172 3519805926 3653695416 3675443603 3958170034 4022635344 4175651904 4262644652 4332068832 4523622896 4597297536 4693074568 4871593888 4950935808 5363513792 5567535872 5776091776 5937255051 6393966978 6785434344 7039611852 7307390832 7350887206 7916340068 8045270688 8351303808 8525289304 8664137664 9047245792 9194595072 9386149136 9743187776 10727027584 11026330809 11552183552 11874510102 12787933956 13570868688 13853595119 14079223704 14614781664 14701774412 15832680136 16090541376 16702607616 17050578608 17328275328 18094491584 18772298272 19486375552 21454055168 22052661618 23749020204 25575867912 25728105221 27141737376 27707190238 28158447408 29229563328 29403548824 31665360272 32181082752 34101157216 34656550656 36188983168 37544596544 38972751104 41560785357 44105323236 47498040408 51151735824 51456210442 54283474752 55414380476 56316894816 58459126656 58807097648 63330720544 64362165504 68202314432 72377966336 75089193088 77184315663 83121570714 88210646472 94996080816 102303471648 102912420884 108566949504 110828760952 112633789632 116918253312 117614195296 126661441088 136404628864 150178386176 154368631326 166243141428 176421292944 180096736547 189992161632 204606943296 205824841768 217133899008 221657521904 225267579264 235228390592 253322882176 272809257728 308737262652 332486282856 352842585888 360193473094 379984323264 409213886592 411649683536 443315043808 450535158528 470456781184 506645764352 540290209641 617474525304 664972565712 705685171776 720386946188 759968646528 818427773184 823299367072 886630087616 940913562368 1080580419282 1234949050608 1329945131424 1411370343552 1440773892376 1519937293056 1646598734144 1773260175232 2161160838564 2469898101216 2659890262848 2822740687104 2881547784752 3293197468288 3546520350464 4322321677128 4939796202432 5319780525696 5763095569504 6586394936576 8644643354256 9879592404864 10639561051392 11526191139008 17289286708512 19759184809728 23052382278016 34578573417024 46104764556032 69157146834048 138314293668096
• Sum of all divisors σ(n): 465209277359904
• Sum of proper divisors (its aliquot sum) s(n): 326894983691808
• 138314293668096 is an abundant number, because the sum of its proper divisors (326894983691808) is greater than itself. Its abundance is 188580690023712

Bases of 138314293668096

• Binary: 11111011100101111001110010101110110100100000000₂
• Hexadecimal: 0x7DCBCE576900
• Base-36: 1D10PJA3UO

Squares and roots of 138314293668096

• 138314293668096 squared (138314293668096²) is 19130843832904301238608265216
• 138314293668096 cubed (138314293668096³) is 2646069152022808803865158547616759845748736
• The square root of 138314293668096 is 11760709.7433826671
• The cube root of 138314293668096 is 51715.6936829163

Scales and comparisons

• 138,314,293,668,096 seconds is equal to 4,397,966 years, 36 weeks, 4 days, 10 hours, 1 minute, 36 seconds.
• To count from 1 to 138,314,293,668,096 would take you about ten million, nine hundred ninety-four thousand, nine hundred sixteen 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 138314293668096 cubic inches would be around 4309.6 feet tall.

Recreational maths with 138314293668096

• 138314293668096 backwards is 690866392413831
• The number of decimal digits it has is: 15
• The sum of 138314293668096's digits is 69
• More coming soon!