40727162993124608

Names of 40727162993124608

• Cardinal: 40727162993124608 can be written as Forty quadrillion, seven hundred twenty-seven trillion, one hundred sixty-two billion, nine hundred ninety-three million, one hundred twenty-four thousand, six hundred eight.

Scientific notation

• Scientific notation: 4.0727162993124608 × 10¹⁶

Factors of 40727162993124608

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 110602

Divisors of 40727162993124608

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 169 176 182 208 224 256 286 308 338 352 364 416 448 572 616 676 704 728 832 896 1001 1144 1183 1232 1352 1408 1456 1664 1792 1859 2002 2288 2366 2464 2704 2816 2912 3328 3718 4004 4576 4732 4928 5408 5824 7436 8008 9152 9464 9856 10816 11648 13013 14872 16016 18304 18928 19712 21632 23296 26026 29744 32032 36608 37856 43264 52052 59488 64064 75712 104104 110569 118976 128128 151424 208208 221138 237952 256256 302848 416416 442276 475904 773983 832832 884552 1216259 1437397 1547966 1665664 1769104 2432518 2874794 3095932 3331328 3538208 4865036 5749588 6191864 7076416 8513813 9730072 10061779 11499176 12383728 14152832 15811367 17027626 18686161 19460144 20123558 22998352 24767456 28305664 31622734 34055252 37372322 38920288 40247116 45996704 49534912 63245468 68110504 74744644 77840576 80494232 91993408 99069824 110679569 126490936 130803127 136221008 149489288 155681152 160988464 183986816 198139648 205547771 221359138 252981872 261606254 272442016 298978576 311362304 321976928 367973632 411095542 442718276 505963744 523212508 544884032 597957152 643953856 822191084 885436552 1011927488 1046425016 1089768064 1195914304 1287907712 1438834397 1644382168 1770873104 2023854976 2092850032 2179536128 2391828608 2575815424 2877668794 3288764336 3541746208 4047709952 4185700064 4783657216 5755337588 6577528672 7083492416 8371400128 11510675176 12225503761 13155057344 14166984832 16742800256 23021350352 24451007522 26310114688 28333969664 33485600512 46042700704 48902015044 52620229376 85578526327 92085401408 97804030088 134480541371 158931548893 171157052654 184170802816 195608060176 268961082742 317863097786 342314105308 368341605632 391216120352 537922165484 635726195572 684628210616 782432240704 941363789597 1075844330968 1112520842251 1271452391144 1369256421232 1564864481408 1748247037823 1882727579194 2066110135609 2151688661936 2225041684502 2542904782288 2738512842464 3129728962816 3496494075646 3765455158388 4132220271218 4303377323872 4450083369004 5085809564576 5477025684928 6992988151292 7530910316776 8264440542436 8606754647744 8900166738008 10171619129152 10954051369856 12237729264761 13985976302584 14462770949263 15061820633552 16528881084872 17213509295488 17800333476016 20343238258304 21908102739712 22727211491699 24475458529522 27971952605168 28925541898526 30123641267104 33057762169744 34427018590976 35600666952032 40686476516608 45454422983398 48950917059044 55943905210336 57851083797052 60247282534208 66115524339488 71201333904064 90908845966796 97901834118088 111887810420672 115702167594104 120494565068416 132231048678976 142402667808128 159090480441893 181817691933592 195803668236176 223775620841344 231404335188208 240989130136832 264462097357952 284805335616256 318180960883786 363635383867184 391607336472352 447551241682688 462808670376416 528924194715904 636361921767572 727270767734368 783214672944704 925617340752832 1272723843535144 1454541535468736 1566429345889408 1851234681505664 2545447687070288 2909083070937472 3132858691778816 3702469363011328 5090895374140576 5818166141874944 10181790748281152 20363581496562304 40727162993124608
• Sum of all divisors σ(n): 109752371801741088
• Sum of proper divisors (its aliquot sum) s(n): 69025208808616480
• 40727162993124608 is an abundant number, because the sum of its proper divisors (69025208808616480) is greater than itself. Its abundance is 28298045815491872

Bases of 40727162993124608

• Binary: 10010000101100010010001110010010111010100010010100000000₂
• Hexadecimal: 0x90B12392EA2500
• Base-36: B50KODXX3I8

Squares and roots of 40727162993124608

• 40727162993124608 squared (40727162993124608²) is 1658701805468538578701479015153664
• 40727162993124608 cubed (40727162993124608³) is 67554218788307236942859517795547224566276619763712
• The square root of 40727162993124608 is 201809719.7687083851
• The cube root of 40727162993124608 is 344055.1420109267

Scales and comparisons

• 40,727,162,993,124,608 seconds is equal to 1,294,997,805 years, 41 weeks, 2 days, 7 hours, 30 minutes, 8 seconds.
• To count from 1 to 40,727,162,993,124,608 would take you about three billion, eight hundred eighty-four million, nine hundred ninety-three thousand, four hundred seventeen 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 40727162993124608 cubic inches would be around 28671.3 feet tall.

Recreational maths with 40727162993124608

• 40727162993124608 backwards is 80642139926172704
• The number of decimal digits it has is: 17
• The sum of 40727162993124608's digits is 71
• More coming soon!