138300822788170432

Names of 138300822788170432

• Cardinal: 138300822788170432 can be written as One hundred thirty-eight quadrillion, three hundred trillion, eight hundred twenty-two billion, seven hundred eighty-eight million, one hundred seventy thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.38300822788170432 × 10¹⁷

Factors of 138300822788170432

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 307

Divisors of 138300822788170432

• Number of divisors d(n): 392
• Complete list of divisors:
  1 2 4 8 13 16 23 26 32 46 52 64 92 104 169 184 208 269 299 338 368 416 538 598 676 736 832 1076 1196 1352 1472 2152 2197 2392 2704 3497 3887 4304 4394 4784 5408 6187 6994 7774 8608 8788 9568 10816 12374 13988 15548 17216 17576 19136 24748 27976 28561 31096 35152 45461 49496 50531 55952 57122 62192 70304 72361 80431 90922 98992 101062 111904 114244 124384 140608 144722 160862 181844 197984 202124 223808 228488 248768 289444 321724 363688 371293 395968 404248 456976 578888 590993 643448 656903 727376 742586 808496 913952 940693 1045603 1157776 1181986 1286896 1313806 1454752 1485172 1616992 1664303 1827904 1881386 2091206 2315552 2363972 2573792 2627612 2909504 2970344 3233984 3328606 3762772 4182412 4631104 4727944 4826809 5147584 5255224 5940688 6657212 7525544 7682909 8364824 8539739 9455888 9653618 10510448 11881376 12229009 13314424 13592839 15051088 15365818 16729648 17079478 18911776 19307236 19465109 21020896 21635939 23762752 24458018 26628848 27185678 30102176 30731636 33459296 34158956 37823552 38614472 38930218 42041792 43271878 48916036 53257696 54371356 60204352 61463272 66918592 68317912 77228944 77860436 86543756 97832072 99877817 106515392 108742712 111016607 122926544 136635824 154457888 155720872 158977117 173087512 176706907 195664144 199755634 217485424 222033214 245853088 253046417 273271648 281267207 308915776 311441744 317954234 346175024 353413814 391328288 399511268 434970848 444066428 447697507 491706176 506092834 546543296 562534414 622883488 635908468 692350048 706827628 782656576 799022536 869941696 888132856 895395014 1012185668 1125068828 1245766976 1271816936 1298411621 1384700096 1413655256 1598045072 1776265712 1790790028 2024371336 2066702521 2250137656 2297189791 2543633872 2596823242 2827310512 3196090144 3289603421 3552531424 3581580056 3656473691 4048742672 4133405042 4500275312 4594379582 5087267744 5193646484 5654621024 5820067591 6392180288 6579206842 7105062848 7163160112 7312947382 8097485344 8266810084 9000550624 9188759164 10174535488 10387292968 11309242048 11640135182 13158413684 14326320224 14625894764 16194970688 16533620168 18001101248 18377518328 20774585936 23280270364 26316827368 26867132773 28652640448 29251789528 29863467283 33067240336 36755036656 41549171872 42764844473 46560540728 47534157983 52633654736 53734265546 58503579056 59726934566 66134480672 73510073312 75660878683 83098343744 85529688946 93121081456 95068315966 105267309472 107468531092 117007158112 119453869132 132268961344 147020146624 151321757366 171059377892 186242162912 190136631932 210534618944 214937062184 234014316224 238907738264 302643514732 342118755784 349272726049 372484325824 380273263864 429874124368 477815476528 555942978149 605287029464 617944053779 684237511568 698545452098 760546527728 859748248736 955630953056 983591422879 1111885956298 1210574058928 1235888107558 1368475023136 1397090904196 1521093055456 1719496497472 1911261906112 1967182845758 2223771912596 2421148117856 2471776215116 2736950046272 2794181808392 3042186110912 3934365691516 4447543825192 4842296235712 4943552430232 5588363616784 7227258715937 7868731383032 8033272699127 8895087650384 9887104860464 11176727233568 12786688497427 14454517431874 15737462766064 16066545398254 17790175300768 19774209720928 22353454467136 25573376994854 28909034863748 31474925532128 32133090796508 35580350601536 39548419441856 51146753989708 57818069727496 62949851064256 64266181593016 93954363307181 102293507979416 115636139454992 128532363186032 166226950466551 187908726614362 204587015958832 231272278909984 257064726372064 332453900933102 375817453228724 409174031917664 462544557819968 514129452744128 664907801866204 751634906457448 818348063835328 1329815603732408 1503269812914896 2160950356065163 2659631207464816 3006539625829792 4321900712130326 5319262414929632 6013079251659584 8643801424260652 10638524829859264 17287602848521304 34575205697042608 69150411394085216 138300822788170432
• Sum of all divisors σ(n): 311394904512435360
• Sum of proper divisors (its aliquot sum) s(n): 173094081724264928
• 138300822788170432 is an abundant number, because the sum of its proper divisors (173094081724264928) is greater than itself. Its abundance is 34793258936094496

Bases of 138300822788170432

• Binary: 111101011010101111101110110010110011011101110001011000000₂
• Hexadecimal: 0x1EB57DD966EE2C0
• Base-36: 11TRJSVUNEF4

Squares and roots of 138300822788170432

• 138300822788170432 squared (138300822788170432²) is 19127117583884921864602837879066624
• 138300822788170432 cubed (138300822788170432³) is 2645296099417367176285720286517914931534832794861568
• The square root of 138300822788170432 is 371888185.8679708475
• The cube root of 138300822788170432 is 517140.1470841279

Scales and comparisons

• 138,300,822,788,170,432 seconds is equal to 4,397,538,372 years, 6 weeks, 5 days, 16 hours, 13 minutes, 52 seconds.
• To count from 1 to 138,300,822,788,170,432 would take you about thirteen billion, one hundred ninety-two million, six hundred fifteen thousand, one hundred sixteen 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 138300822788170432 cubic inches would be around 43095 feet tall.

Recreational maths with 138300822788170432

• 138300822788170432 backwards is 234071887228003831
• The number of decimal digits it has is: 18
• The sum of 138300822788170432's digits is 67
• More coming soon!