40400942722795200

Names of 40400942722795200

• Cardinal: 40400942722795200 can be written as Forty quadrillion, four hundred trillion, nine hundred forty-two billion, seven hundred twenty-two million, seven hundred ninety-five thousand, two hundred.

Scientific notation

• Scientific notation: 4.04009427227952 × 10¹⁶

Factors of 40400942722795200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 92493000769

Divisors of 40400942722795200

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 260 273 280 300 312 320 325 336 350 364 390 400 416 420 448 455 480 520 525 546 560 600 624 650 672 700 728 780 800 832 840 910 960 975 1040 1050 1092 1120 1200 1248 1300 1344 1365 1400 1456 1560 1600 1680 1820 1950 2080 2100 2184 2240 2275 2400 2496 2600 2730 2800 2912 3120 3360 3640 3900 4160 4200 4368 4550 4800 5200 5460 5600 5824 6240 6720 6825 7280 7800 8400 8736 9100 10400 10920 11200 12480 13650 14560 15600 16800 17472 18200 20800 21840 27300 29120 31200 33600 36400 43680 54600 62400 72800 87360 109200 145600 218400 436800 92493000739 184986001478 277479002217 369972002956 462465003695 554958004434 647451005173 739944005912 924930007390 1109916008868 1202409009607 1294902010346 1387395011085 1479888011824 1849860014780 1942353015519 2219832017736 2312325018475 2404818019214 2589804020692 2774790022170 2959776023648 3237255025865 3607227028821 3699720029560 3884706031038 4439664035472 4624650036950 4809636038428 5179608041384 5549580044340 5919552047296 6012045048035 6474510051730 6936975055425 7214454057642 7399440059120 7769412062076 8416863067249 8879328070944 9249300073900 9619272076856 9711765077595 10359216082768 11099160088680 12024090096070 12949020103460 13873950110850 14428908115284 14798880118240 15538824124152 16186275129325 16833726134498 17758656141888 18036135144105 18498600147800 19238544153712 19423530155190 20718432165536 22198320177360 24048180192140 25250589201747 25898040206920 27747900221700 28857816230568 29597760236480 30060225240175 31077648248304 32372550258650 33667452268996 36072270288210 36997200295600 38477088307424 38847060310380 41436864331072 42084315336245 44396640354720 48096360384280 48558825387975 50501178403494 51796080413840 55495800443400 57715632461136 60120450480350 62155296496608 64745100517300 67334904537992 72144540576420 73994400591200 76954176614848 77694120620760 84168630672490 88793280709440 90180675720525 96192720768560 97117650775950 101002356806988 103592160827680 110991600886800 115431264922272 120240900960700 124310592993216 126252946008735 129490201034600 134669809075984 144289081152840 147988801182400 155388241241520 168337261344980 180361351441050 192385441537120 194235301551900 202004713613976 207184321655360 210421576681225 221983201773600 230862529844544 240481801921400 252505892017470 258980402069200 269339618151968 288578162305680 310776482483040 336674522689960 360722702882100 384770883074240 388470603103800 404009427227952 420843153362450 443966403547200 480963603842800 505011784034940 517960804138400 538679236303936 577156324611360 621552964966080 631264730043675 673349045379920 721445405764200 776941206207600 808018854455904 841686306724900 961927207685600 1010023568069880 1035921608276800 1154312649222720 1262529460087350 1346698090759840 1442890811528400 1553882412415200 1616037708911808 1683372613449800 1923854415371200 2020047136139760 2525058920174700 2693396181519680 2885781623056800 3107764824830400 3366745226899600 4040094272279520 5050117840349400 5771563246113600 6733490453799200 8080188544559040 10100235680698800 13466980907598400 20200471361397600 40400942722795200
• Sum of all divisors σ(n): 163136934873194240
• Sum of proper divisors (its aliquot sum) s(n): 122735992150399040
• 40400942722795200 is an abundant number, because the sum of its proper divisors (122735992150399040) is greater than itself. Its abundance is 82335049427603840

Bases of 40400942722795200

• Binary: 10001111100010000111000101111111100101010100011011000000₂
• Hexadecimal: 0x8F88717F9546C0
• Base-36: B1SXSV3Q11C

Squares and roots of 40400942722795200

• 40400942722795200 squared (40400942722795200²) is 1632236172890578428589701143040000
• 40400942722795200 cubed (40400942722795200³) is 65943880131026702471583871085471499303825408000000
• The square root of 40400942722795200 is 200999857.5193405455
• The cube root of 40400942722795200 is 343134.0632622225

Scales and comparisons

• 40,400,942,722,795,200 seconds is equal to 1,284,625,010 years, 13 weeks, 5 days, 1 hour, 20 minutes.
• To count from 1 to 40,400,942,722,795,200 would take you about three billion, eight hundred fifty-three million, eight hundred seventy-five thousand and thirty 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 40400942722795200 cubic inches would be around 28594.5 feet tall.

Recreational maths with 40400942722795200

• 40400942722795200 backwards is 00259722724900404
• The number of decimal digits it has is: 17
• The sum of 40400942722795200's digits is 57
• More coming soon!