138916607710724096

Names of 138916607710724096

• Cardinal: 138916607710724096 can be written as One hundred thirty-eight quadrillion, nine hundred sixteen trillion, six hundred seven billion, seven hundred ten million, seven hundred twenty-four thousand and ninety-six.

Scientific notation

• Scientific notation: 1.38916607710724096 × 10¹⁷

Factors of 138916607710724096

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 35
• Sum of prime factors: 32

Divisors of 138916607710724096

• Number of divisors d(n): 406
• Complete list of divisors:
  1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 361 418 512 608 704 722 836 1024 1216 1408 1444 1672 2048 2432 2816 2888 3344 3971 4096 4864 5632 5776 6688 6859 7942 8192 9728 11264 11552 13376 13718 15884 16384 19456 22528 23104 26752 27436 31768 32768 38912 45056 46208 53504 54872 63536 65536 75449 77824 90112 92416 107008 109744 127072 130321 131072 150898 155648 180224 184832 214016 219488 254144 260642 262144 301796 311296 360448 369664 428032 438976 508288 521284 524288 603592 622592 720896 739328 856064 877952 1016576 1042568 1048576 1207184 1245184 1433531 1441792 1478656 1712128 1755904 2033152 2085136 2097152 2414368 2476099 2490368 2867062 2883584 2957312 3424256 3511808 4066304 4170272 4194304 4828736 4952198 4980736 5734124 5767168 5914624 6848512 7023616 8132608 8340544 8388608 9657472 9904396 9961472 11468248 11534336 11829248 13697024 14047232 16265216 16681088 16777216 19314944 19808792 19922944 22936496 23068672 23658496 27237089 27394048 28094464 32530432 33362176 33554432 38629888 39617584 39845888 45872992 46137344 47045881 47316992 54474178 54788096 56188928 65060864 66724352 67108864 77259776 79235168 79691776 91745984 92274688 94091762 94633984 108948356 109576192 112377856 130121728 133448704 134217728 154519552 158470336 159383552 183491968 184549376 188183524 189267968 217896712 219152384 224755712 260243456 266897408 268435456 309039104 316940672 318767104 366983936 369098752 376367048 378535936 435793424 438304768 449511424 517504691 520486912 533794816 618078208 633881344 637534208 733967872 738197504 752734096 757071872 871586848 876609536 899022848 1035009382 1040973824 1067589632 1236156416 1267762688 1275068416 1467935744 1476395008 1505468192 1514143744 1743173696 1753219072 1798045696 2070018764 2081947648 2135179264 2472312832 2535525376 2550136832 2935871488 2952790016 3010936384 3028287488 3486347392 3506438144 3596091392 4140037528 4163895296 4270358528 4944625664 5071050752 5100273664 5871742976 6021872768 6056574976 6972694784 7012876288 7192182784 8280075056 8327790592 8540717056 9889251328 10142101504 11743485952 12043745536 12113149952 13945389568 14025752576 14384365568 16560150112 16655581184 17081434112 19778502656 20284203008 23486971904 24087491072 24226299904 27890779136 28051505152 28768731136 33120300224 33311162368 34162868224 39557005312 40568406016 46973943808 48174982144 48452599808 55781558272 56103010304 57537462272 66240600448 66622324736 68325736448 79114010624 81136812032 93947887616 96349964288 96905199616 111563116544 115074924544 132481200896 133244649472 136651472896 158228021248 162273624064 187895775232 192699928576 223126233088 230149849088 264962401792 266489298944 273302945792 316456042496 324547248128 375791550464 385399857152 446252466176 460299698176 529924803584 532978597888 546605891584 632912084992 649094496256 751583100928 770799714304 892504932352 920599396352 1059849607168 1065957195776 1093211783168 1265824169984 1298188992512 1503166201856 1541599428608 1785009864704 1841198792704 2119699214336 2186423566336 2531648339968 2596377985024 3006332403712 3083198857216 3570019729408 4239398428672 4372847132672 5063296679936 5192755970048 6012664807424 6166397714432 7140039458816 8478796857344 8745694265344 10126593359872 10385511940096 12025329614848 12332795428864 14280078917632 16957593714688 17491388530688 20253186719744 20771023880192 24050659229696 24665590857728 28560157835264 33915187429376 34982777061376 41542047760384 48101318459392 49331181715456 57120315670528 67830374858752 83084095520768 96202636918784 98662363430912 114240631341056 135660749717504 166168191041536 192405273837568 197324726861824 228481262682112 271321499435008 332336382083072 384810547675136 394649453723648 456962525364224 542642998870016 664672764166144 789298907447296 913925050728448 1085285997740032 1578597814894592 1827850101456896 2170571995480064 3157195629789184 3655700202913792 4341143990960128 6314391259578368 7311400405827584 8682287981920256 12628782519156736 17364575963840512 34729151927681024 69458303855362048 138916607710724096
• Sum of all divisors σ(n): 319929156198142212
• Sum of proper divisors (its aliquot sum) s(n): 181012548487418116
• 138916607710724096 is an abundant number, because the sum of its proper divisors (181012548487418116) is greater than itself. Its abundance is 42095940776694020

Bases of 138916607710724096

• Binary: 111101101100001111110101100110000000000000000000000000000₂
• Hexadecimal: 0x1ED87EB30000000
• Base-36: 11ZTTSKMFY0W

Squares and roots of 138916607710724096

• 138916607710724096 squared (138916607710724096²) is 19297823897855209364053284635017216
• 138916607710724096 cubed (138916607710724096³) is 2680788232088988706699250082859330651359412786036736
• The square root of 138916607710724096 is 372715183.0965893131
• The cube root of 138916607710724096 is 517906.5335636965
• Being both a perfect square and a perfect cube, 138916607710724096 is also a perfect sixth number.

Scales and comparisons

• 138,916,607,710,724,096 seconds is equal to 4,417,118,427 years, 47 weeks, 6 days, 14 minutes, 56 seconds.
• To count from 1 to 138,916,607,710,724,096 would take you about thirteen billion, two hundred fifty-one million, three hundred fifty-five thousand, two hundred eighty-three 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 138916607710724096 cubic inches would be around 43158.9 feet tall.

Recreational maths with 138916607710724096

• 138916607710724096 backwards is 690427017706619831
• The number of decimal digits it has is: 18
• The sum of 138916607710724096's digits is 77
• More coming soon!