138311895246624

Names of 138311895246624

• Cardinal: 138311895246624 can be written as One hundred thirty-eight trillion, three hundred eleven billion, eight hundred ninety-five million, two hundred forty-six thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 1.38311895246624 × 10¹⁴

Factors of 138311895246624

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 210

Divisors of 138311895246624

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 67 72 81 88 96 99 108 127 132 134 144 162 176 198 201 216 254 264 268 288 297 324 352 381 396 402 432 508 528 536 594 603 648 737 762 792 804 864 891 1016 1056 1072 1143 1188 1206 1296 1397 1474 1524 1584 1608 1782 1809 2032 2144 2211 2286 2376 2412 2592 2794 2948 3048 3168 3216 3429 3564 3618 4064 4191 4422 4489 4572 4752 4824 5427 5588 5896 6096 6432 6633 6858 7128 7236 8382 8509 8844 8978 9144 9504 9648 10287 10854 11176 11792 12192 12573 13266 13467 13716 14256 14472 16129 16764 17018 17688 17956 18288 19296 19899 20574 21708 22352 23584 25146 25527 26532 26934 27432 28512 28944 32258 33528 34036 35376 35912 36576 37719 39798 40401 41148 43416 44704 48387 49379 50292 51054 53064 53868 54864 57888 59697 64516 67056 68072 70752 71824 75438 76581 79596 80802 82296 86832 93599 96774 98758 100584 102108 106128 107736 109728 113157 119394 121203 129032 134112 136144 143648 145161 148137 150876 153162 159192 161604 164592 173664 177419 187198 193548 197516 201168 204216 212256 215472 226314 229743 238788 242406 258064 272288 280797 290322 296274 300763 301752 306324 318384 323208 329184 354838 363609 374396 387096 395032 402336 408432 430944 435483 444411 452628 459486 477576 484812 516128 532257 561594 570103 580644 592548 601526 603504 612648 636768 646416 689229 709676 727218 748792 774192 790064 816864 842391 870966 888822 902289 905256 918972 955152 969624 1064514 1080643 1123188 1140206 1161288 1185096 1203052 1207008 1225296 1292832 1306449 1333233 1378458 1419352 1454436 1497584 1548384 1580128 1596771 1684782 1710309 1741932 1777644 1804578 1810512 1837944 1910304 1939248 2129028 2161286 2246376 2280412 2322576 2370192 2406104 2450592 2527173 2612898 2666466 2706867 2756916 2838704 2908872 2995168 3193542 3241929 3308393 3369564 3420618 3483864 3555288 3609156 3621024 3675888 3878496 3999699 4258056 4322572 4492752 4560824 4645152 4740384 4790313 4812208 5054346 5130927 5225796 5332932 5413734 5513832 5677408 5817744 6271133 6387084 6483858 6616786 6739128 6841236 6967728 7110576 7218312 7351776 7581519 7999398 8120601 8516112 8645144 8985504 9121648 9580626 9624416 9725787 9925179 10108692 10261854 10451592 10665864 10827468 11027664 11635488 11887073 12542266 12774168 12967716 13233572 13478256 13682472 13935456 14221152 14370939 14436624 15163038 15392781 15998796 16241202 17032224 17290288 18243296 18813399 19161252 19451574 19850358 20217384 20523708 20903184 21331728 21654936 22055328 23774146 24361803 25084532 25548336 25935432 26467144 26956512 27364944 28741878 28873248 29177361 29775537 30326076 30785562 31997592 32482404 34580576 35661219 37626798 38196901 38322504 38903148 39700716 40434768 41047416 41806368 42663456 43309872 46178343 47548292 48723606 50169064 51096672 51870864 52934288 54729888 56440197 57483756 58354722 59551074 60652152 61571124 63995184 64964808 71322438 72403081 75253596 76393802 76645008 77806296 79401432 80869536 82094832 86619744 87532083 89326611 92356686 95096584 97447212 100338128 103741728 105868576 106983657 112880394 114590703 114967512 116709444 119102148 121304304 123142248 127990368 129929616 142644876 144806162 150507192 152787604 153290016 155612592 158802864 164189664 169320591 175064166 178653222 184713372 190193168 194894424 200676256 213967314 217209243 225760788 229181406 229935024 233418888 238204296 242608608 246284496 259859232 267979833 285289752 289612324 301014384 305575208 311225184 317605728 320950971 338641182 343772109 350128332 357306444 369426744 380386336 389788848 420165911 427934628 434418486 451521576 458362812 459870048 466837776 476408592 492568992 507961773 535959666 570579504 579224648 602028768 611150416 641901942 651627729 677282364 687544218 700256664 714612888 738853488 779577696 796433891 840331822 855869256 868836972 903043152 916725624 933675552 952817184 962852913 1015923546 1031316327 1071919332 1141159008 1158449296 1222300832 1260497733 1283803884 1303255458 1354564728 1375088436 1400513328 1429225776 1477706976 1592867782 1680663644 1711738512 1737673944 1806086304 1833451248 1925705826 1954883187 2031847092 2062632654 2143838664 2316898592 2389301673 2520995466 2567607768 2606510916 2709129456 2750176872 2801026656 2858451552 3093948981 3185735564 3361327288 3423477024 3475347888 3666902496 3781493199 3851411652 3909766374 4063694184 4125265308 4287677328 4778603346 4851006427 5041990932 5135215536 5213021832 5418258912 5500353744 5864649561 6187897962 6371471128 6722654576 6950695776 7167905019 7562986398 7702823304 7819532748 8127388368 8250530616 8575354656 9557206692 9702012854 10083981864 10270431072 10426043664 11000707488 11344479597 11729299122 12375795924 12742942256 13445309152 14335810038 14553019281 15125972796 15405646608 15639065496 16254776736 16501061232 19114413384 19404025708 20167963728 20852087328 21503715057 22688959194 23458598244 24751591848 25485884512 28671620076 29106038562 30251945592 30811293216 31278130992 33002122464 34033438791 38228826768 38808051416 40335927456 43007430114 43659057843 45377918388 46917196488 49503183696 53361070697 57343240152 58212077124 60503891184 62556261984 64511145171 68066877582 76457653536 77616102832 86014860228 87318115686 90755836776 93834392976 99006367392 106722141394 114686480304 116424154248 121007782368 129022290342 130977173529 136133755164 155232205664 160083212091 172029720456 174636231372 181511673552 187668785952 213444282788 229372960608 232848308496 258044580684 261954347058 272267510328 320166424182 344059440912 349272462744 363023347104 392931520587 426888565576 465696616992 480249636273 516089161368 523908694116 544535020656 640332848364 688118881824 698544925488 785863041174 853777131152 960499272546 1032178322736 1047817388232 1089070041312 1280665696728 1397089850976 1440748908819 1571726082348 1707554262304 1920998545092 2064356645472 2095634776464 2561331393456 2881497817638 3143452164696 3841997090184 4191269552928 4322246726457 5122662786912 5762995635276 6286904329392 7683994180368 8644493452914 11525991270552 12573808658784 15367988360736 17288986905828 23051982541104 34577973811656 46103965082208 69155947623312 138311895246624
• Sum of all divisors σ(n): 454049106366240
• Sum of proper divisors (its aliquot sum) s(n): 315737211119616
• 138311895246624 is an abundant number, because the sum of its proper divisors (315737211119616) is greater than itself. Its abundance is 177425315872992

Bases of 138311895246624

• Binary: 11111011100101100111111011000100110011100100000₂
• Hexadecimal: 0x7DCB3F626720
• Base-36: 1D0ZLVBM00

Squares and roots of 138311895246624

• 138311895246624 squared (138311895246624²) is 19130180366713090645783397376
• 138311895246624 cubed (138311895246624³) is 2645931502929844091285324718038272114458624
• The square root of 138311895246624 is 11760607.7753925623
• The cube root of 138311895246624 is 51715.3947580451

Scales and comparisons

• 138,311,895,246,624 seconds is equal to 4,397,890 years, 22 weeks, 6 days, 21 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,311,895,246,624 would take you about ten million, nine hundred ninety-four thousand, seven hundred twenty-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 138311895246624 cubic inches would be around 4309.6 feet tall.

Recreational maths with 138311895246624

• 138311895246624 backwards is 426642598113831
• The number of decimal digits it has is: 15
• The sum of 138311895246624's digits is 63
• More coming soon!