40072147456640

Names of 40072147456640

• Cardinal: 40072147456640 can be written as Forty trillion, seventy-two billion, one hundred forty-seven million, four hundred fifty-six thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.007214745664 × 10¹³

Factors of 40072147456640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 13151

Divisors of 40072147456640

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 169 208 232 260 290 320 338 377 416 464 520 580 640 676 754 832 845 928 1040 1061 1160 1352 1508 1664 1690 1856 1885 2080 2122 2320 2704 3016 3380 3712 3770 4160 4244 4640 4901 5305 5408 6032 6760 7540 8320 8488 9280 9802 10610 10816 12041 12064 13520 13793 15080 16976 18560 19604 21220 21632 24082 24128 24505 27040 27586 30160 30769 33952 39208 42440 48164 48256 49010 54080 55172 60205 60320 61538 67904 68965 78416 84880 96328 98020 108160 110344 120410 120640 123076 135808 137930 153845 156533 156832 169760 179309 192656 196040 220688 240820 241280 246152 275860 307690 313066 313664 339520 349189 358618 385312 392080 399997 441376 481640 492304 551720 615380 626132 627328 679040 698378 717236 770624 782665 784160 799994 882752 896545 963280 984608 1103440 1230760 1252264 1396756 1434472 1541248 1565330 1568320 1599988 1745945 1765504 1793090 1926560 1969216 1999985 2034929 2206880 2461520 2504528 2793512 2868944 3130660 3136640 3199976 3491890 3586180 3853120 3938432 3999970 4069858 4413760 4539457 4923040 5009056 5199961 5587024 5737888 6261320 6399952 6983780 7172360 7706240 7999940 8139716 8827520 9078914 9846080 10018112 10174645 10399922 11174048 11475776 12522640 12775501 12799904 13967560 14344720 15999880 16279432 18157828 19692160 20036224 20349290 20799844 22348096 22697285 22951552 25045280 25551002 25599808 25999805 27935120 28689440 31999760 32558864 36315656 40698580 41599688 44696192 45394570 50090560 51102004 51199616 51999610 55870240 57378880 59012941 63877505 63999520 65117728 72631312 81397160 83199376 90789140 100181120 102204008 103999220 111740480 114757760 118025882 127755010 127999040 130235456 145262624 162794320 166081513 166398752 181578280 204408016 207998440 223480960 236051764 255510020 255998080 260470912 290525248 295064705 325588640 332163026 332797504 363156560 370489529 408816032 415996880 472103528 511020040 581050496 590129410 651177280 664326052 665595008 726313120 740979058 817632064 830407565 831993760 944207056 1022040080 1180258820 1302354560 1328652104 1452626240 1481958116 1635264128 1660815130 1663987520 1852447645 1888414112 2044080160 2159059669 2360517640 2657304208 2905252480 2963916232 3321630260 3327975040 3704895290 3776828224 4088160320 4318119338 4721035280 4816363877 5314608416 5927832464 6643260520 7409790580 7553656448 8176320640 8636238676 9442070560 9632727754 10629216832 10795298345 11855664928 13286521040 14819581160 17272477352 18884141120 19265455508 21258433664 21590596690 23711329856 24081819385 26573042080 29639162320 34544954704 37768282240 38530911016 43181193380 47422659712 48163638770 53146084160 59278324640 62612730401 69089909408 77061822032 86362386760 96327277540 106292168320 118556649280 125225460802 138179818816 154123644064 172724773520 192654555080 237113298560 250450921604 276359637632 308247288128 313063652005 345449547040 385309110160 500901843208 616494576256 626127304010 690899094080 770618220320 1001803686416 1252254608020 1381798188160 1541236440640 2003607372832 2504509216040 3082472881280 4007214745664 5009018432080 8014429491328 10018036864160 20036073728320 40072147456640
• Sum of all divisors σ(n): 107420437018800
• Sum of proper divisors (its aliquot sum) s(n): 67348289562160
• 40072147456640 is an abundant number, because the sum of its proper divisors (67348289562160) is greater than itself. Its abundance is 27276142105520

Bases of 40072147456640

• Binary: 1001000111001000000110000111010101001010000000₂
• Hexadecimal: 0x2472061D5280
• Base-36: E7CW1YOOW

Squares and roots of 40072147456640

• 40072147456640 squared (40072147456640²) is 1605777001786699620680089600
• 40072147456640 cubed (40072147456640³) is 64346932798077899940615305211727314944000
• The square root of 40072147456640 is 6330256.5079655343
• The cube root of 40072147456640 is 34220.0683195101

Scales and comparisons

• 40,072,147,456,640 seconds is equal to 1,274,170 years, 17 weeks, 3 days, 23 hours, 17 minutes, 20 seconds.
• To count from 1 to 40,072,147,456,640 would take you about three million, one hundred eighty-five thousand, four hundred twenty-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 40072147456640 cubic inches would be around 2851.7 feet tall.

Recreational maths with 40072147456640

• 40072147456640 backwards is 04665474127004
• The number of decimal digits it has is: 14
• The sum of 40072147456640's digits is 50
• More coming soon!