40722143822401824

Names of 40722143822401824

• Cardinal: 40722143822401824 can be written as Forty quadrillion, seven hundred twenty-two trillion, one hundred forty-three billion, eight hundred twenty-two million, four hundred one thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 4.0722143822401824 × 10¹⁶

Factors of 40722143822401824

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 947

Divisors of 40722143822401824

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 883 944 1062 1416 1766 1888 2124 2649 2832 3481 3532 4248 5298 5664 6962 7064 7947 8496 10443 10596 13924 14128 15894 16992 20886 21192 27848 28256 31329 31788 41772 42384 52097 55696 62658 63576 83544 84768 104194 111392 125316 127152 156291 167088 205379 208388 250632 254304 312582 334176 410758 416776 468873 501264 616137 625164 779689 821516 833552 937746 1002528 1232274 1250328 1559378 1643032 1667104 1848411 1875492 2339067 2464548 2500656 3073723 3118756 3286064 3696822 3750984 4678134 4929096 5001312 6147446 6237512 6572128 7017201 7393644 7501968 9221169 9356268 9858192 12294892 12475024 14034402 14787288 15003936 18442338 18712536 19716384 24589784 24950048 27663507 28068804 29574576 36884676 37425072 46001651 49179568 55327014 56137608 59149152 73769352 74850144 92003302 98359136 110654028 112275216 138004953 147538704 181349657 184006604 221308056 224550432 276009906 295077408 362699314 368013208 414014859 442616112 544048971 552019812 688465387 725398628 736026416 828029718 885232224 1088097942 1104039624 1376930774 1450797256 1472052832 1632146913 1656059436 2065396161 2176195884 2208079248 2714097409 2753861548 2901594512 3264293826 3312118872 4130792322 4352391768 4416158496 5428194818 5507723096 5803189024 6196188483 6528587652 6624237744 8142292227 8261584644 8704783536 10856389636 11015446192 12392376966 13057175304 13248475488 16284584454 16523169288 17409567072 21712779272 22030892384 24426876681 24784753932 26114350608 32569168908 33046338576 40619457833 43425558544 48853753362 49569507864 52228701216 65138337816 66092677152 81238915666 86851117088 97707506724 99139015728 121858373499 130276675632 160131747131 162477831332 195415013448 198278031456 243716746998 260553351264 320263494262 324955662664 365575120497 390830026896 480395241393 487433493996 640526988524 649911325328 731150240994 781660053792 960790482786 974866987992 1281053977048 1299822650656 1441185724179 1462300481988 1921580965572 1949733975984 2396548012147 2562107954096 2882371448358 2924600963976 3843161931144 3899467951968 4793096024294 5124215908192 5764742896716 5849201927952 7189644036441 7686323862288 9586192048588 11529485793432 11698403855904 14379288072882 15372647724576 19172384097176 21568932109323 23058971586864 28758576145764 38344768194352 43137864218646 46117943173728 57517152291528 76689536388704 86275728437292 115034304583056 141396332716673 172551456874584 230068609166112 282792665433346 345102913749168 424188998150019 565585330866692 690205827498336 848377996300038 1131170661733384 1272566994450057 1696755992600076 2262341323466768 2545133988900114 3393511985200152 4524682646933536 5090267977800228 6787023970400304 10180535955600456 13574047940800608 20361071911200912 40722143822401824
• Sum of all divisors σ(n): 117933760823860800
• Sum of proper divisors (its aliquot sum) s(n): 77211617001458976
• 40722143822401824 is an abundant number, because the sum of its proper divisors (77211617001458976) is greater than itself. Its abundance is 36489473179057152

Bases of 40722143822401824

• Binary: 10010000101011001001001011110101000001101101000100100000₂
• Hexadecimal: 0x90AC92F506D120
• Base-36: B4YSMM19FS0

Squares and roots of 40722143822401824

• 40722143822401824 squared (40722143822401824²) is 1658292997492379037122424118526976
• 40722143822401824 cubed (40722143822401824³) is 67529245943566486424061609690149772407745255604224
• The square root of 40722143822401824 is 201797283.9817271277
• The cube root of 40722143822401824 is 344041.0077713267

Scales and comparisons

• 40,722,143,822,401,824 seconds is equal to 1,294,838,211 years, 35 weeks, 6 days, 13 hours, 50 minutes, 24 seconds.
• To count from 1 to 40,722,143,822,401,824 would take you about three billion, eight hundred eighty-four million, five hundred fourteen thousand, six hundred thirty-five 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 40722143822401824 cubic inches would be around 28670.1 feet tall.

Recreational maths with 40722143822401824

• 40722143822401824 backwards is 42810422834122704
• The number of decimal digits it has is: 17
• The sum of 40722143822401824's digits is 54
• More coming soon!