138038517858304

Names of 138038517858304

• Cardinal: 138038517858304 can be written as One hundred thirty-eight trillion, thirty-eight billion, five hundred seventeen million, eight hundred fifty-eight thousand, three hundred four.

Scientific notation

• Scientific notation: 1.38038517858304 × 10¹⁴

Factors of 138038517858304

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 1427

Divisors of 138038517858304

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 7 8 14 16 28 31 32 43 56 62 64 86 112 124 128 172 217 224 248 256 301 344 434 448 496 512 602 661 683 688 868 896 992 1024 1204 1322 1333 1366 1376 1736 1792 1984 2048 2408 2644 2666 2732 2752 3472 3584 3968 4096 4627 4781 4816 5288 5332 5464 5504 6944 7168 7936 8192 9254 9331 9562 9632 10576 10664 10928 11008 13888 14336 15872 16384 18508 18662 19124 19264 20491 21152 21173 21328 21856 22016 27776 28423 28672 29369 31744 32768 37016 37324 38248 38528 40982 42304 42346 42656 43712 44032 55552 56846 57344 58738 63488 74032 74648 76496 77056 81964 84608 84692 85312 87424 88064 111104 113692 114688 117476 126976 143437 148064 148211 149296 152992 154112 163928 169216 169384 170624 174848 176128 198961 205583 222208 227384 229376 234952 253952 286874 296128 296422 298592 305984 308224 327856 338432 338768 341248 349696 352256 397922 411166 444416 451463 454768 469904 507904 573748 592256 592844 597184 611968 616448 655712 676864 677536 682496 699392 704512 795844 822332 881113 888832 902926 909536 910439 939808 1015808 1147496 1184512 1185688 1194368 1223936 1232896 1311424 1353728 1355072 1364992 1398784 1409024 1591688 1644664 1762226 1777664 1805852 1819072 1820878 1879616 2294992 2369024 2371376 2388736 2447872 2465792 2622848 2707456 2710144 2729984 2797568 3160241 3183376 3289328 3524452 3555328 3611704 3638144 3641756 3759232 4589984 4738048 4742752 4777472 4895744 4931584 5245696 5414912 5420288 5459968 5595136 6167791 6320482 6366752 6373073 6578656 7048904 7110656 7223408 7276288 7283512 7518464 9179968 9476096 9485504 9554944 9791488 9863168 10491392 10829824 10840576 10919936 11190272 12335582 12640964 12733504 12746146 13157312 13995353 14097808 14446816 14552576 14567024 15036928 18359936 18952192 18971008 19109888 19412909 19582976 20982784 21659648 21681152 21839872 22380544 24671164 25281928 25467008 25492292 26314624 27990706 28195616 28893632 29105152 29134048 30073856 36719872 37904384 37942016 38219776 38825818 39165952 41965568 43362304 43679744 49342328 50563856 50934016 50984584 52629248 55981412 56391232 57787264 58210304 58268096 60147712 73439744 75808768 75884032 76439552 77651636 78331904 83931136 86724608 97967471 98684656 101127712 101868032 101969168 105258496 111962824 112782464 115574528 116420608 116536192 120295424 135890363 146879488 151617536 151768064 152879104 155303272 156663808 167862272 173449216 195934942 197369312 202255424 203736064 203938336 210516992 223925648 225564928 231149056 232841216 233072384 240590848 271780726 293758976 303536128 305758208 310606544 335724544 346898432 391869884 394738624 404510848 407472128 407876672 421033984 447851296 451129856 462298112 465682432 466144768 481181696 543561452 587517952 601800179 607072256 621213088 671449088 693796864 783739768 789477248 809021696 814944256 815753344 842067968 895702592 902259712 924596224 931364864 932289536 962363392 1087122904 1175035904 1203600358 1214144512 1242426176 1567479536 1578954496 1618043392 1629888512 1631506688 1684135936 1791405184 1804519424 1849192448 1864579072 2174245808 2350071808 2407200716 2428289024 2484852352 3134959072 3157908992 3236086784 3259777024 3263013376 3368271872 3582810368 3609038848 3698384896 3729158144 4212601253 4348491616 4700143616 4814401432 4856578048 4969704704 6269918144 6315817984 6472173568 6519554048 6526026752 6736543744 7165620736 7218077696 7396769792 7458316288 8425202506 8696983232 9628802864 9939409408 12539836288 12631635968 12944347136 13052053504 14331241472 14436155392 14793539584 14916632576 16850405012 17393966464 19257605728 19878818816 25079672576 25263271936 25888694272 26104107008 28662482944 28872310784 29833265152 33700810024 34787932928 38515211456 39757637632 50159345152 50526543872 51777388544 52208214016 57324965888 67401620048 69575865856 77030422912 79515275264 100318690304 101053087744 103554777088 104416428032 114649931776 134803240096 139151731712 154060845824 159030550528 200637380608 202106175488 208832856064 229299863552 269606480192 278303463424 308121691648 318061101056 401274761216 458599727104 539212960384 556606926848 616243383296 636122202112 802549522432 1078425920768 1113213853696 1232486766592 1605099044864 2156851841536 2226427707392 2464973533184 3210198089728 4313703683072 4452855414784 4929947066368 8627407366144 9859894132736 17254814732288 19719788265472 34509629464576 69019258929152 138038517858304
• Sum of all divisors σ(n): 334256634961920
• Sum of proper divisors (its aliquot sum) s(n): 196218117103616
• 138038517858304 is an abundant number, because the sum of its proper divisors (196218117103616) is greater than itself. Its abundance is 58179599245312

Bases of 138038517858304

• Binary: 11111011000101110011000110100101000000000000000₂
• Hexadecimal: 0x7D8B98D28000
• Base-36: 1CXI0PHF5S

Squares and roots of 138038517858304

• 138038517858304 squared (138038517858304²) is 19054632412517312327021756416
• 138038517858304 cubed (138038517858304³) is 2630273216558689248641161521931956690878464
• The square root of 138038517858304 is 11748979.4390110327
• The cube root of 138038517858304 is 51681.2999696643

Scales and comparisons

• 138,038,517,858,304 seconds is equal to 4,389,197 years, 46 weeks, 18 hours, 25 minutes, 4 seconds.
• To count from 1 to 138,038,517,858,304 would take you about ten million, nine hundred seventy-two thousand, nine hundred ninety-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 138038517858304 cubic inches would be around 4306.8 feet tall.

Recreational maths with 138038517858304

• 138038517858304 backwards is 403858715830831
• 138038517858304 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138038517858304's digits is 64
• More coming soon!