40816901842494948

Names of 40816901842494948

• Cardinal: 40816901842494948 can be written as Forty quadrillion, eight hundred sixteen trillion, nine hundred one billion, eight hundred forty-two million, four hundred ninety-four thousand, nine hundred forty-eight.

Scientific notation

• Scientific notation: 4.0816901842494948 × 10¹⁶

Factors of 40816901842494948

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 220

Divisors of 40816901842494948

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 137 141 186 188 274 279 282 372 411 423 548 558 564 822 846 1116 1233 1457 1644 1692 2209 2466 2914 4247 4371 4418 4932 5828 6439 6627 8494 8742 8836 12741 12878 13113 13254 16988 17484 18769 19317 19881 25482 25756 26226 26508 37538 38223 38634 39762 50964 52452 56307 57951 68479 75076 76446 77268 79524 103823 112614 115902 136958 152892 168921 199609 205437 207646 225228 231804 273916 302633 311469 337842 399218 410874 415292 581839 598827 605266 616311 622938 675684 798436 821748 882143 907899 934407 1163678 1197654 1210532 1232622 1245876 1745517 1764286 1796481 1815798 1868814 2327356 2395308 2465244 2571353 2646429 2723697 3218513 3491034 3528572 3592962 3631596 3737628 5142706 5236551 5292858 5447394 6437026 6982068 7185924 7714059 7939287 9381623 9655539 10285412 10473102 10585716 10894788 12874052 14223751 15428118 15878574 18763246 19311078 20946204 23142177 27346433 28144869 28447502 28966617 30856236 31757148 37526492 38622156 41460721 42671253 46284354 54692866 56289738 56895004 57933234 79711943 82039299 82921442 84434607 85342506 92568708 109385732 112579476 115866468 120853591 124382163 128013759 159423886 164078598 165842884 168869214 170685012 239135829 241707182 246117897 248764326 256027518 318847772 328157196 337738428 352275361 362560773 373146489 440936281 478271658 483414364 492235794 497528652 512055036 704550722 717407487 725121546 746292978 881872562 956543316 984471588 1056826083 1087682319 1285282351 1322808843 1409101444 1434814974 1450243092 1492585956 1763745124 1948653887 2113652166 2175364638 2570564702 2645617686 2869629948 3170478249 3746461321 3855847053 3897307774 3968426529 4227304332 4350729276 5141129404 5291235372 5680118777 5845961661 6340956498 7492922642 7711694106 7794615548 7936853058 10920536191 11239383963 11360237554 11567541159 11691923322 12681912996 14985845284 15423388212 15873706116 16556941967 17040356331 17537884983 21841072382 22478767926 22720475108 23135082318 23383846644 32761608573 33113883934 33718151889 34080712662 35075769966 43682144764 44957535852 46270164636 49670825901 51121068993 60408270497 65523217146 66227767868 67436303778 68161425324 70151539932 98284825719 99341651802 102242137986 120816540994 131046434292 134872607556 149012477703 176083682087 181224811491 196569651438 198683303604 204484275972 241633081988 266965582519 298024955406 352167364174 362449622982 393139302876 513265200977 528251046261 533931165038 543674434473 596049910812 704334728348 724899245964 778176272449 800896747557 1026530401954 1056502092522 1067862330076 1087348868946 1539795602931 1556352544898 1584753138783 1601793495114 2053060803908 2113004185044 2174697737892 2334528817347 2402690242671 3079591205862 3112705089796 3169506277566 3203586990228 4619386808793 4669057634694 4805380485342 6159182411724 6339012555132 7003586452041 8275933058089 9238773617586 9338115269388 9610760970684 14007172904082 16551866116178 18477547235172 24123464445919 24827799174267 28014345808164 33103732232356 36574284805103 48246928891838 49655598348534 72370393337757 73148569610206 74483397522801 96493857783676 99311196697068 109722854415309 144740786675514 146297139220412 148966795045602 217111180013271 219445708830618 289481573351028 297933590091204 329168563245927 434222360026542 438891417661236 658337126491854 868444720053084 1133802828958193 1316674252983708 2267605657916386 3401408486874579 4535211315832772 6802816973749158 10204225460623737 13605633947498316 20408450921247474 40816901842494948
• Sum of all divisors σ(n): 109619750460380160
• Sum of proper divisors (its aliquot sum) s(n): 68802848617885212
• 40816901842494948 is an abundant number, because the sum of its proper divisors (68802848617885212) is greater than itself. Its abundance is 27985946775390264

Bases of 40816901842494948

• Binary: 10010001000000101100000110000111001001110110010111100100₂
• Hexadecimal: 0x9102C1872765E4
• Base-36: B5WDTUFUGH0

Squares and roots of 40816901842494948

• 40816901842494948 squared (40816901842494948²) is 1666019476019867480830033405522704
• 40816901842494948 cubed (40816901842494948³) is 68001753420387796814504371568703053244417419299392
• The square root of 40816901842494948 is 202031932.7296923821
• The cube root of 40816901842494948 is 344307.6554124489

Scales and comparisons

• 40,816,901,842,494,948 seconds is equal to 1,297,851,223 years, 32 weeks, 3 days, 5 hours, 55 minutes, 48 seconds.
• To count from 1 to 40,816,901,842,494,948 would take you about three billion, eight hundred ninety-three million, five hundred fifty-three thousand, six hundred seventy 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 40816901842494948 cubic inches would be around 28692.3 feet tall.

Recreational maths with 40816901842494948

• 40816901842494948 backwards is 84949424810961804
• The number of decimal digits it has is: 17
• The sum of 40816901842494948's digits is 81
• More coming soon!