138916816809984

Names of 138916816809984

• Cardinal: 138916816809984 can be written as One hundred thirty-eight trillion, nine hundred sixteen billion, eight hundred sixteen million, eight hundred nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.38916816809984 × 10¹⁴

Factors of 138916816809984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 509

Divisors of 138916816809984

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 467 512 576 592 666 768 888 934 1024 1152 1184 1332 1401 1536 1776 1868 2048 2304 2368 2664 2802 3072 3552 3736 4096 4203 4608 4736 5328 5604 6144 7104 7472 8406 9216 9472 10656 11208 12288 14208 14944 16812 17279 18432 18944 21312 22416 28416 29888 33624 34558 36864 37888 42624 44832 51837 56832 59776 67248 69116 75776 85248 89664 103674 113664 119552 134496 138232 151552 155511 170496 179328 207348 218089 227328 239104 268992 276464 311022 340992 358656 414696 436178 454656 478208 537984 552928 622044 654267 681984 717312 829392 872356 956416 1075968 1105856 1244088 1308534 1363968 1434624 1658784 1744712 1912832 1962801 2151936 2211712 2488176 2617068 2869248 3317568 3489424 3925602 4303872 4423424 4976352 5234136 5738496 6635136 6978848 7851204 8069293 8607744 8846848 9952704 10468272 13270272 13957696 15702408 16138586 17215488 17693696 19905408 20936544 24207879 26540544 27915392 31404816 32277172 35387392 39810816 41873088 48415758 53081088 55830784 62809632 64554344 70774784 72623637 79621632 83746176 96831516 101847563 106162176 111661568 125619264 129108688 145247274 159243264 167492352 193663032 203695126 212324352 223323136 251238528 258217376 290494548 305542689 318486528 334984704 387326064 407390252 446646272 502477056 516434752 580989096 611085378 636973056 669969408 774652128 814780504 893292544 916628067 1004954112 1032869504 1161978192 1222170756 1339938816 1549304256 1629561008 1833256134 2009908224 2065739008 2323956384 2444341512 2679877632 3098608512 3259122016 3666512268 3768359831 4019816448 4131478016 4647912768 4888683024 6197217024 6518244032 7333024536 7536719662 8039632896 8262956032 9295825536 9777366048 11305079493 12394434048 13036488064 14666049072 15073439324 16525912064 18591651072 19554732096 22610158986 24788868096 26072976128 29332098144 30146878648 33051824128 33915238479 37183302144 39109464192 45220317972 49577736192 52145952256 58664196288 60293757296 67830476958 74366604288 78218928384 90440635944 99155472384 104291904512 117328392576 120587514592 135660953916 148733208576 156437856768 180881271888 208583809024 234656785152 241175029184 271321907832 297466417152 312875713536 361762543776 417167618048 469313570304 482350058368 542643815664 625751427072 723525087552 938627140608 964700116736 1085287631328 1251502854144 1447050175104 1877254281216 1929400233472 2170575262656 2894100350208 3754508562432 3858800466944 4341150525312 5788200700416 7717600933888 8682301050624 11576401400832 15435201867776 17364602101248 23152802801664 34729204202496 46305605603328 69458408404992 138916816809984
• Sum of all divisors σ(n): 412995652926480
• Sum of proper divisors (its aliquot sum) s(n): 274078836116496
• 138916816809984 is an abundant number, because the sum of its proper divisors (274078836116496) is greater than itself. Its abundance is 135162019306512

Bases of 138916816809984

• Binary: 11111100101100000010111100001001111000000000000₂
• Hexadecimal: 0x7E581784F000
• Base-36: 1D8PI603K0

Squares and roots of 138916816809984

• 138916816809984 squared (138916816809984²) is 19297881992618653237962080256
• 138916816809984 cubed (138916816809984³) is 2680800337589294457935009742197462510075904
• The square root of 138916816809984 is 11786297.8415609369
• The cube root of 138916816809984 is 51790.6793417001

Scales and comparisons

• 138,916,816,809,984 seconds is equal to 4,417,125 years, 3 weeks, 6 days, 21 hours, 26 minutes, 24 seconds.
• To count from 1 to 138,916,816,809,984 would take you about eleven million, forty-two thousand, eight hundred twelve 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 138916816809984 cubic inches would be around 4315.9 feet tall.

Recreational maths with 138916816809984

• 138916816809984 backwards is 489908618619831
• The number of decimal digits it has is: 15
• The sum of 138916816809984's digits is 81
• More coming soon!