137390396940912640

Names of 137390396940912640

• Cardinal: 137390396940912640 can be written as One hundred thirty-seven quadrillion, three hundred ninety trillion, three hundred ninety-six billion, nine hundred forty million, nine hundred twelve thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3739039694091264 × 10¹⁷

Factors of 137390396940912640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 394

Divisors of 137390396940912640

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 151 160 196 224 229 245 256 280 302 320 392 448 458 490 512 560 604 640 755 784 896 916 980 1024 1057 1120 1145 1208 1280 1510 1568 1603 1792 1832 1960 2048 2114 2240 2290 2416 2560 3020 3136 3206 3584 3664 3920 4228 4480 4580 4832 5120 5285 6040 6272 6412 7168 7328 7399 7840 8015 8456 8960 9160 9664 10240 10570 11221 12080 12544 12824 14336 14656 14798 15680 16030 16912 17920 18320 19328 21140 22442 22801 24160 25088 25648 29312 29596 31360 32060 33824 34579 35840 36640 36995 38656 42280 44884 45602 48320 50176 51296 52441 56105 58624 59192 62720 64120 67648 69158 71680 73280 73990 77312 84560 89768 91204 96640 100352 102592 104882 112210 114005 117248 118384 125440 128240 135296 138316 146560 147980 154624 159607 169120 172895 179536 182408 193280 205184 209764 224420 228010 234496 236768 242053 250880 256480 262205 270592 276632 293120 295960 309248 319214 338240 345790 359072 364816 367087 386560 410368 419528 448840 456020 468992 473536 484106 501760 512960 524410 541184 553264 586240 591920 638428 676480 691580 718144 729632 734174 773120 798035 820736 839056 897680 912040 947072 968212 1025920 1048820 1082368 1106528 1117249 1172480 1183840 1210265 1276856 1352960 1383160 1436288 1459264 1468348 1546240 1596070 1641472 1678112 1694371 1795360 1824080 1835435 1894144 1936424 2051840 2097640 2164736 2213056 2234498 2344960 2367680 2420530 2553712 2569609 2705920 2766320 2872576 2918528 2936696 3192140 3282944 3356224 3388742 3590720 3648160 3670870 3788288 3872848 4103680 4195280 4426112 4468996 4735360 4841060 5107424 5139218 5221429 5411840 5532640 5586245 5745152 5837056 5873392 6384280 6712448 6777484 7181440 7296320 7341740 7576576 7745696 7918591 8207360 8390560 8471855 8852224 8937992 9470720 9682120 10214848 10278436 10442858 10823680 11065280 11172490 11490304 11674112 11746784 12008989 12768560 12848045 13424896 13554968 14362880 14592640 14683480 15153152 15491392 15837182 16414720 16781120 16943710 17704448 17875984 18941440 19364240 20429696 20556872 20885716 22130560 22344980 22980608 23348224 23493568 24017978 25537120 25696090 26107145 26849792 27109936 28725760 29185280 29366960 30982784 31674364 33562240 33887420 35408896 35751968 36550003 37882880 38728480 39592955 40859392 41113744 41771432 44261120 44689960 46696448 46987136 48035956 51074240 51392180 52214290 53699584 54219872 55430137 57451520 58370560 58733920 60044945 61965568 63348728 67124480 67774840 70817792 71503936 73100006 75765760 77456960 79185910 81718784 82227488 83542864 84062923 88522240 89379920 93974272 96071912 102148480 102784360 104428580 107399168 108439744 110860274 114903040 116741120 117467840 120089890 123931136 126697456 134248960 135549680 143007872 146200012 154913920 158371820 163437568 164454976 167085728 168125846 177044480 178759840 182750015 187948544 192143824 204296960 205568720 208857160 216879488 221720548 233482240 234935680 240179780 247862272 253394912 255850021 268497920 271099360 277150685 286015744 292400024 309827840 316743640 326875136 328909952 334171456 336251692 354088960 357519680 365500030 375897088 384287648 388010959 408593920 411137440 417714320 420314615 433758976 443441096 469871360 480359560 495724544 506789824 511700042 536995840 542198720 554301370 572031488 584800048 588440461 619655680 633487280 657819904 668342912 672503384 715039360 731000060 751794176 768575296 776021918 817187840 822274880 835428640 840629230 867517952 886882192 939742720 960719120 1013579648 1023400084 1084397440 1108602740 1144062976 1169600096 1176880922 1195707241 1239311360 1266974560 1279250105 1315639808 1336685824 1345006768 1430078720 1462000120 1537150592 1552043836 1634375680 1644549760 1670857280 1681258460 1735035904 1773764384 1813357339 1879485440 1921438240 1940054795 2027159296 2046800168 2168794880 2217205480 2288125952 2339200192 2353761844 2391414482 2478622720 2533949120 2558500210 2631279616 2673371648 2690013536 2860157440 2924000240 2942202305 3074301184 3104087672 3289099520 3341714560 3362516920 3470071808 3547528768 3626714678 3758970880 3842876480 3880109590 4054318592 4093600336 4337589760 4434410960 4678400384 4707523688 4782828964 5067898240 5117000420 5262559232 5346743296 5380027072 5720314880 5848000480 5884404610 5978536205 6148602368 6208175344 6578199040 6683429120 6725033840 7095057536 7253429356 7685752960 7760219180 8108637184 8187200672 8369950687 8675179520 8868821920 9066786695 9356800768 9415047376 9565657928 10135796480 10234000840 10693486592 10760054144 11440629760 11696000960 11768809220 11957072410 12297204736 12416350688 12693501373 13156398080 13366858240 13450067680 14190115072 14506858712 15371505920 15520438360 16217274368 16374401344 16739901374 17350359040 17737643840 18133573390 18713601536 18830094752 19131315856 20271592960 20468001680 21520108288 23392001920 23537618440 23914144820 24594409472 24832701376 25387002746 26312796160 26733716480 26900135360 28380230144 29013717424 30743011840 31040876720 32748802688 33479802748 35475287680 36267146780 37427203072 37660189504 38262631712 40543185920 40936003360 41849753435 43040216576 46784003840 47075236880 47828289640 49665402752 50774005492 53467432960 53800270720 56760460288 58027434848 58589654809 61486023680 62081753440 63467506865 65497605376 66959605496 70950575360 72534293560 74854406144 75320379008 76525263424 81086371840 81872006720 83699506870 86080433152 88854509611 93568007680 94150473760 95656579280 99330805504 101548010984 107600541440 113520920576 116054869696 117179309618 122972047360 124163506880 126935013730 130995210752 133919210992 141901150720 145068587120 150640758016 153050526848 163744013440 167399013740 172160866304 177709019222 187136015360 188300947520 191313158560 198661611008 203096021968 215201082880 232109739392 234358619236 248327013760 253870027460 261990421504 267838421984 273816958189 283802301440 290137174240 292948274045 301281516032 306101053696 327488026880 334798027480 355418038444 374272030720 376601895040 382626317120 397323222016 406192043936 430402165760 444272548055 464219478784 468717238472 496654027520 507740054920 523980843008 535676843968 547633916378 567604602880 580274348480 585896548090 602563032064 612202107392 654976053760 669596054960 710836076888 753203790080 765252634240 794646444032 812384087872 860804331520 888545096110 928438957568 937434476944 993308055040 1015480109840 1071353687936 1095267832756 1160548696960 1171793096180 1205126064128 1224404214784 1309952107520 1339192109920 1369084790945 1421672153776 1506407580160 1530505268480 1624768175744 1777090192220 1856877915136 1874868953888 1916718707323 1986616110080 2030960219680 2142707375872 2190535665512 2321097393920 2343586192360 2448808429568 2619904215040 2678384219840 2738169581890 2843344307552 3012815160320 3061010536960 3249536351488 3554180384440 3713755830272 3749737907776 3833437414646 3973232220160 4061920439360 4285414751744 4381071331024 4642194787840 4687172384720 5356768439680 5476339163780 5686688615104 6025630320640 6122021073920 6499072702976 7108360768880 7499475815552 7666874829292 8123840878720 8570829503488 8762142662048 9284389575680 9374344769440 9583593536615 10713536879360 10952678327560 11373377230208 12244042147840 12998145405952 13417030951261 14216721537760 14998951631104 15333749658584 16247681757440 17141659006976 17524285324096 18568779151360 18748689538880 19167187073230 21427073758720 21905356655120 22746754460416 25996290811904 26834061902522 28433443075520 29997903262208 30667499317168 32495363514880 35048570648192 37497379077760 38334374146460 42854147517440 43810713310240 45493508920832 53668123805044 56866886151040 59995806524416 61334998634336 64990727029760 67085154756305 70097141296384 74994758155520 76668748292920 85708295034880 87621426620480 90987017841664 107336247610088 113733772302080 119991613048832 122669997268672 129981454059520 134170309512610 140194282592768 149989516311040 153337496585840 175242853240960 181974035683328 214672495220176 227467544604160 245339994537344 268340619025220 280388565185536 299979032622080 306674993171680 350485706481920 429344990440352 454935089208320 490679989074688 536681238050440 560777130371072 599958065244160 613349986343360 700971412963840 858689980880704 909870178416640 981359978149376 1073362476100880 1226699972686720 1401942825927680 1717379961761408 1962719956298752 2146724952201760 2453399945373440 2803885651855360 3434759923522816 3925439912597504 4293449904403520 4906799890746880 6869519847045632 8586899808807040 9813599781493760 13739039694091264 17173799617614080 19627199562987520 27478079388182528 34347599235228160 68695198470456320 137390396940912640
• Sum of all divisors σ(n): 387727451900170200
• Sum of proper divisors (its aliquot sum) s(n): 250337054959257560
• 137390396940912640 is an abundant number, because the sum of its proper divisors (250337054959257560) is greater than itself. Its abundance is 112946658018344920

Bases of 137390396940912640

• Binary: 111101000000110111101011010001101001101101000100000000000₂
• Hexadecimal: 0x1E81BD68D368800
• Base-36: 11KSTX0VOW74

Squares and roots of 137390396940912640

• 137390396940912640 squared (137390396940912640²) is 18876121171581537307327476111769600
• 137390396940912640 cubed (137390396940912640³) is 2593397780468352361455172887772552497623669407744000
• The square root of 137390396940912640 is 370662106.1572286485
• The cube root of 137390396940912640 is 516002.8805962027

Scales and comparisons

• 137,390,396,940,912,640 seconds is equal to 4,368,589,646 years, 16 weeks, 4 days, 13 hours, 30 minutes, 40 seconds.
• To count from 1 to 137,390,396,940,912,640 would take you about thirteen billion, one hundred five million, seven hundred sixty-eight thousand, nine hundred thirty-eight 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 137390396940912640 cubic inches would be around 43000.2 feet tall.

Recreational maths with 137390396940912640

• 137390396940912640 backwards is 046219049693093731
• The number of decimal digits it has is: 18
• The sum of 137390396940912640's digits is 76
• More coming soon!