138207598040448

Names of 138207598040448

• Cardinal: 138207598040448 can be written as One hundred thirty-eight trillion, two hundred seven billion, five hundred ninety-eight million, forty thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.38207598040448 × 10¹⁴

Factors of 138207598040448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 6122

Divisors of 138207598040448

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 64 72 76 93 96 108 114 124 128 144 152 171 186 192 216 228 248 279 288 304 342 361 372 384 432 456 496 513 558 576 589 608 684 722 744 837 864 912 961 992 1026 1083 1116 1152 1178 1216 1368 1444 1488 1674 1728 1767 1824 1922 1984 2052 2166 2232 2356 2432 2736 2883 2888 2976 3249 3348 3456 3534 3648 3844 3968 4104 4332 4464 4712 5301 5472 5766 5776 5952 6067 6498 6696 6859 7068 7296 7688 8208 8649 8664 8928 9424 9747 10602 10944 11191 11532 11552 11904 12134 12996 13392 13718 14136 15376 15903 16416 17298 17328 17856 18201 18259 18848 19494 20577 21204 21888 22382 23064 23104 24268 25947 25992 26784 27436 28272 30752 31806 32832 33573 34596 34656 35712 36402 36518 37696 38988 41154 42408 44764 46128 46208 48536 51894 51984 53568 54603 54777 54872 56544 61504 61731 63612 65664 67146 69192 69312 72804 73036 75392 77976 82308 84816 89528 92256 97072 100719 103788 103968 107136 109206 109554 109744 113088 115273 123008 123462 127224 134292 138384 138624 145608 146072 155952 163809 164331 164616 169632 179056 184512 185193 188077 194144 201438 207576 207936 212629 218412 219108 219488 226176 230546 246924 254448 268584 276768 291216 292144 302157 311904 327618 328662 329232 339264 345819 346921 358112 369024 370386 376154 388288 402876 415152 415872 425258 436824 438216 438976 461092 492993 493848 508896 537168 553536 564231 582432 584288 604314 623808 637887 655236 657324 658464 678528 691638 693842 716224 740772 752308 776576 805752 830304 850516 873648 876432 877952 922184 985986 987696 1017792 1037457 1040763 1074336 1107072 1128462 1164864 1168576 1208628 1247616 1275774 1310472 1314648 1316928 1383276 1387684 1432448 1481544 1504616 1611504 1660608 1692693 1701032 1747296 1752864 1844368 1913661 1971972 1975392 2035584 2074914 2081526 2148672 2190187 2256924 2329728 2337152 2417256 2551548 2620944 2629296 2633856 2766552 2775368 2963088 3009232 3112371 3122289 3223008 3321216 3385386 3402064 3494592 3505728 3573463 3688736 3827322 3943944 3950784 4149828 4163052 4297344 4380374 4513848 4834512 5078079 5103096 5241888 5258592 5533104 5550736 5740983 5830387 5926176 6018464 6224742 6244578 6446016 6570561 6591499 6770772 6804128 6989184 7011456 7146926 7377472 7654644 7887888 7901568 8299656 8326104 8760748 9027696 9366867 9669024 10156158 10206192 10483776 10517184 10720389 11066208 11101472 11481966 11660774 11852352 12036928 12449484 12489156 12892032 13141122 13182998 13541544 13608256 14293852 14754944 15309288 15775776 16599312 16652208 17491161 17521496 18055392 18733734 19338048 19711683 19774497 20312316 20412384 20967552 21034368 21440778 22132416 22202944 22963932 23321548 23704704 24073856 24898968 24978312 26282244 26365996 27083088 27216512 28587704 30618576 31551552 32161167 33198624 33304416 34982322 35042992 36110784 37467468 38676096 39423366 39548994 40624632 40824768 41613553 42881556 44264832 44405888 45927864 46643096 49797936 49956624 52473483 52564488 52731992 54166176 57175408 59135049 59323491 61237152 63103104 64322334 66397248 66608832 67895797 69964644 70085984 72221568 74934936 78846732 79097988 81249264 81649536 83227106 85763112 91855728 93286192 96483501 99595872 99913248 104946966 105128976 105463984 108332352 110777353 114350816 118270098 118646982 122474304 124840659 128644668 132794496 133217664 135791594 139929288 140171968 149869872 157420449 157693464 158195976 162498528 166454212 171526224 177970473 183711456 186572384 192967002 199191744 199826496 203687391 209893932 210257952 210927968 216664704 221554706 228701632 236540196 237293964 244948608 249681318 257289336 271583188 279858576 280343936 299739744 314840898 315386928 316391952 324997056 332332059 332908424 343052448 355940946 367422912 373144768 374521977 385934004 398383488 399652992 407374782 419787864 420515904 421855936 443109412 457403264 473080392 474587928 499362636 514578672 543166376 559717152 599479488 611062173 629681796 630773856 632783904 649994112 664664118 665816848 686104896 711881892 734845824 746289536 749043954 771868008 814749564 839575728 841031808 843711872 886218824 946160784 949175856 996996177 998725272 1029157344 1086332752 1119434304 1123565931 1198958976 1222124346 1259363592 1261547712 1265567808 1290020143 1329328236 1331633696 1372209792 1423763784 1498087908 1543736016 1629499128 1679151456 1772437648 1833186519 1892321568 1898351712 1993992354 1997450544 2058314688 2104769707 2172665504 2238868608 2247131862 2444248692 2518727184 2523095424 2531135616 2580040286 2658656472 2663267392 2847527568 2990988531 2996175816 3087472032 3258998256 3358302912 3544875296 3666373038 3784643136 3796703424 3870060429 3987984708 3994901088 4116629376 4209539414 4345331008 4494263724 4888497384 5037454368 5160080572 5317312944 5326534784 5695055136 5981977062 5992351632 6174944064 6314309121 6517996512 6716605824 7089750592 7332746076 7569286272 7593406848 7740120858 7975969416 7989802176 8419078828 8690662016 8988527448 9776994768 10074908736 10320161144 10634625888 11390110272 11610181287 11963954124 11984703264 12349888128 12628618242 13035993024 14179501184 14665492152 15480241716 15951938832 15979604352 16838157656 17977054896 18942927363 19553989536 20149817472 20640322288 21269251776 22780220544 23220362574 23927908248 23969406528 25257236484 26071986048 29330984304 30960483432 31903877664 33676315312 34830543861 35954109792 37885854726 39107979072 39990624433 41280644576 42538503552 46440725148 47855816496 47938813056 50514472968 56828782089 58661968608 61920966864 63807755328 67352630624 69661087722 71908219584 75771709452 78215958144 79981248866 82561289152 92881450296 95711632992 101028945936 113657564178 117323937216 119971873299 123841933728 127615510656 134705261248 139322175444 143816439168 151543418904 159962497732 165122578304 185762900592 191423265984 202057891872 227315128356 234647874432 239943746598 247683867456 269410522496 278644350888 303086837808 319924995464 359915619897 371525801184 382846531968 404115783744 454630256712 479887493196 495367734912 557288701776 606173675616 639849990928 719831239794 743051602368 808231567488 909260513424 959774986392 1079746859691 1114577403552 1212347351232 1279699981856 1439662479588 1486103204736 1818521026848 1919549972784 2159493719382 2229154807104 2424694702464 2559399963712 2879324959176 3637042053696 3839099945568 4318987438764 4458309614208 5118799927424 5758649918352 7274084107392 7678199891136 8637974877528 11517299836704 15356399782272 17275949755056 23034599673408 34551899510112 46069199346816 69103799020224 138207598040448
• Sum of all divisors σ(n): 444972896352000
• Sum of proper divisors (its aliquot sum) s(n): 306765298311552
• 138207598040448 is an abundant number, because the sum of its proper divisors (306765298311552) is greater than itself. Its abundance is 168557700271104

Bases of 138207598040448

• Binary: 11111011011001011110110110010010101010110000000₂
• Hexadecimal: 0x7DB2F6C95580
• Base-36: 1CZNOZGIO0

Squares and roots of 138207598040448

• 138207598040448 squared (138207598040448²) is 19101340156110045849444040704
• 138207598040448 cubed (138207598040448³) is 2639950342329525467155869635632381550395392
• The square root of 138207598040448 is 11756172.7632953743
• The cube root of 138207598040448 is 51702.3924357383

Scales and comparisons

• 138,207,598,040,448 seconds is equal to 4,394,574 years, 5 weeks, 6 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 138,207,598,040,448 would take you about ten million, nine hundred eighty-six thousand, four hundred thirty-five 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 138207598040448 cubic inches would be around 4308.5 feet tall.

Recreational maths with 138207598040448

• 138207598040448 backwards is 844040895702831
• The number of decimal digits it has is: 15
• The sum of 138207598040448's digits is 63
• More coming soon!