138397092581313504

Names of 138397092581313504

• Cardinal: 138397092581313504 can be written as One hundred thirty-eight quadrillion, three hundred ninety-seven trillion, ninety-two billion, five hundred eighty-one million, three hundred thirteen thousand, five hundred four.

Scientific notation

• Scientific notation: 1.38397092581313504 × 10¹⁷

Factors of 138397092581313504

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 972

Divisors of 138397092581313504

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 967 972 1296 1458 1934 1944 2187 2592 2901 2916 3868 3888 4374 5802 5832 6561 7736 7776 8703 8748 11604 11664 13122 15472 17406 17496 19683 23208 23328 26109 26244 30944 34812 34992 39366 46416 52218 52488 59049 69624 69984 78327 78732 92832 104436 104976 118098 139248 156654 157464 177147 208872 209952 234981 236196 278496 313308 314928 354294 417744 469962 472392 531441 626616 629856 704943 708588 835488 935089 939924 944784 1062882 1253232 1409886 1417176 1594323 1870178 1879848 1889568 2114829 2125764 2506464 2805267 2819772 2834352 3188646 3740356 3759696 4229658 4251528 4782969 5610534 5639544 5668704 6344487 6377292 7480712 7519392 8415801 8459316 8503056 9565938 11221068 11279088 12688974 12754584 14961424 16831602 16918632 17006112 19033461 19131876 22442136 22558176 25247403 25377948 25509168 29922848 33663204 33837264 38066922 38263752 44884272 50494806 50755896 51018336 57100383 67326408 67674528 75742209 76133844 76527504 89768544 100989612 101511792 114200766 134652816 151484418 152267688 153055008 171301149 201979224 203023584 227226627 228401532 269305632 302968836 304535376 342602298 403958448 454453254 456803064 513903447 605937672 609070752 681679881 685204596 807916896 904231063 908906508 913606128 1027806894 1211875344 1363359762 1370409192 1541710341 1808462126 1817813016 1827212256 2045039643 2055613788 2423750688 2712693189 2726719524 2740818384 3083420682 3616924252 3635626032 4090079286 4111227576 4625131023 5425386378 5453439048 5481636768 6135118929 6166841364 7233848504 7271252064 8138079567 8180158572 8222455152 9250262046 10850772756 10906878096 12270237858 12333682728 14467697008 16276159134 16360317144 16444910304 18405356787 18500524092 21701545512 21813756192 24414238701 24540475716 24667365456 28935394016 32552318268 32720634288 36810713574 37001048184 43403091024 48828477402 49080951432 49334730912 55216070361 65104636536 65441268576 73242716103 73621427148 74002096368 86806182048 97656954804 98161902864 110432140722 130209273072 146485432206 147242854296 148004192736 165648211083 195313909608 196323805728 219728148309 220864281444 260418546144 292970864412 294485708592 331296422166 390627819216 439456296618 441728562888 496944633249 585941728824 588971417184 659184444927 662592844332 781255638432 878912593236 883457125776 993889266498 1171883457648 1318368889854 1325185688664 1490833899747 1757825186472 1766914251552 1977553334781 1987778532996 2343766915296 2636737779708 2650371377328 2981667799494 3515650372944 3955106669562 3975557065992 4472501699241 5273475559416 5300742754656 5932660004343 5963335598988 7031300745888 7910213339124 7951114131984 8945003398482 10546951118832 11865320008686 11926671197976 15820426678248 15902228263968 17797980013029 17890006796964 21093902237664 23730640017372 23853342395952 31640853356496 35595960026058 35780013593928 47461280034744 47706684791904 53393940039087 63281706712992 71191920052116 71560027187856 94922560069488 106787880078174 142383840104232 143120054375712 160181820117261 189845120138976 213575760156348 284767680208464 320363640234522 427151520312696 480545460351783 569535360416928 640727280469044 854303040625392 961090920703566 1281454560938088 1441636381055349 1708606081250784 1922181841407132 2562909121876176 2883272762110698 3844363682814264 4324909143166047 5125818243752352 5766545524221396 7688727365628528 8649818286332094 11533091048442792 15377454731257056 17299636572664188 23066182096885584 34599273145328376 46132364193771168 69198546290656752 138397092581313504
• Sum of all divisors σ(n): 409126974453877680
• Sum of proper divisors (its aliquot sum) s(n): 270729881872564176
• 138397092581313504 is an abundant number, because the sum of its proper divisors (270729881872564176) is greater than itself. Its abundance is 132332789291250672

Bases of 138397092581313504

• Binary: 111101011101011110110110000100101010000011000101111100000₂
• Hexadecimal: 0x1EBAF6C25418BE0
• Base-36: 11UPOAM7VI00

Squares and roots of 138397092581313504

• 138397092581313504 squared (138397092581313504²) is 19153755234960661325786125932758016
• 138397092581313504 cubed (138397092581313504³) is 2650824036532668832278989780489515374646302665048064
• The square root of 138397092581313504 is 372017597.1393201503
• The cube root of 138397092581313504 is 517260.1112483389

Scales and comparisons

• 138,397,092,581,313,504 seconds is equal to 4,400,599,453 years, 40 weeks, 14 hours, 38 minutes, 24 seconds.
• To count from 1 to 138,397,092,581,313,504 would take you about thirteen billion, two hundred one million, seven hundred ninety-eight thousand, three hundred sixty-one 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 138397092581313504 cubic inches would be around 43105 feet tall.

Recreational maths with 138397092581313504

• 138397092581313504 backwards is 405313185290793831
• 138397092581313504 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138397092581313504's digits is 72
• More coming soon!