40788514968238575104

Names of 40788514968238575104

• Cardinal: 40788514968238575104 can be written as Forty quintillion, seven hundred eighty-eight quadrillion, five hundred fourteen trillion, nine hundred sixty-eight billion, two hundred thirty-eight million, five hundred seventy-five thousand, one hundred four.

Scientific notation

• Scientific notation: 4.0788514968238575104 × 10¹⁹

Factors of 40788514968238575104

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 401277

Divisors of 40788514968238575104

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 353 448 512 706 896 1412 1637 1792 2471 2824 3274 3584 4942 5648 6548 9884 11296 11459 13096 19768 22592 22918 26192 39536 45184 45836 52384 57649 79072 90368 91672 104768 115298 158144 180736 183344 209536 230596 316288 341629 366688 403543 419072 461192 577861 632576 683258 733376 807086 838144 922384 1155722 1265152 1366516 1466752 1614172 1844768 2311444 2391403 2733032 2933504 3228344 3689536 4045027 4622888 4782806 5466064 5867008 6456688 7379072 8090054 9245776 9565612 10932128 12913376 14758144 16180108 18491552 19131224 20350097 21864256 25826752 29516288 32360216 36983104 38262448 40700194 43728512 51653504 64720432 73966208 76524896 81400388 87457024 94371413 103307008 120595037 129440864 142450679 147932416 153049792 162800776 174914048 188742826 206614016 241190074 258881728 284901358 295864832 306099584 325601552 377485652 482380148 517763456 559246673 569802716 612199168 651203104 660599891 754971304 844165259 964760296 1035526912 1118493346 1139605432 1224398336 1302406208 1321199782 1509942608 1688330518 1929520592 2071053824 2236986692 2279210864 2604812416 2642399564 3019885216 3376661036 3859041184 3914726711 4473973384 4558421728 5209624832 5284799128 6039770432 6753322072 7718082368 7829453422 8947946768 9116843456 10419249664 10569598256 12079540864 13506644144 15436164736 15658906844 17895893536 18233686912 19694570221 21139196512 24159081728 27013288288 30872329472 31317813688 33313108789 35791787072 36467373824 39389140442 42278393024 48318163456 54026576576 61744658944 62635627376 66626217578 71583574144 72934747648 78778280884 84556786048 108053153152 125271254752 133252435156 137861991547 143167148288 157556561768 169113572096 197414075569 216106306304 233191761523 250542509504 266504870312 275723983094 286334296576 315113123536 338227144192 394828151138 432212612608 466383523046 501085019008 533009740624 551447966188 630226247072 789656302276 932767046092 1002170038016 1066019481248 1102895932376 1260452494144 1381898528983 1579312604552 1865534092184 2004340076032 2132038962496 2205791864752 2520904988288 2763797057966 3158625209104 3731068184368 4264077924992 4411583729504 5041809976576 5527594115932 6317250418208 6952183288013 7462136368736 8528155849984 8823167459008 10083619953152 11055188231864 12634500836416 13904366576026 14924272737472 17056311699968 17646334918016 22110376463728 25269001672832 27808733152052 29848545474944 32240011451777 35292669836032 44220752927456 48665283016091 50538003345664 55617466304104 59697090949888 64480022903554 70585339672064 88441505854912 97330566032182 101076006691328 111234932608208 119394181899776 128960045807108 176883011709824 194661132064364 222469865216416 225680080162439 257920091614216 353766023419648 389322264128728 444939730432832 451360160324878 515840183228432 707532046839296 778644528257456 889879460865664 902720320649756 1031680366456864 1557289056514912 1779758921731328 1805440641299512 2063360732913728 3114578113029824 3559517843462656 3610881282599024 4126721465827456 6229156226059648 7221762565198048 8253442931654912 11380724042477281 12458312452119296 14443525130396096 16506885863309824 22761448084954562 24916624904238592 28887050260792192 45522896169909124 57774100521584384 79665068297340967 91045792339818248 115548201043168768 159330136594681934 182091584679636496 318660273189363868 364183169359272992 637320546378727736 728366338718545984 1274641092757455472 1456732677437091968 2549282185514910944 2913465354874183936 5098564371029821888 5826930709748367872 10197128742059643776 20394257484119287552 40788514968238575104
• Sum of all divisors σ(n): 93462650447742576000
• Sum of proper divisors (its aliquot sum) s(n): 52674135479504000896
• 40788514968238575104 is an abundant number, because the sum of its proper divisors (52674135479504000896) is greater than itself. Its abundance is 11885620511265425792

Bases of 40788514968238575104

• Binary: 100011011000001101111010100100000110111101100100000100111000000000₂
• Hexadecimal: 0x2360DEA41BD904E00
• Base-36: 8LW41TZK167SW

Squares and roots of 40788514968238575104

• 40788514968238575104 squared (40788514968238575104²) is 1663702953314222289425049231424248610816
• 40788514968238575104 cubed (40788514968238575104³) is 67859972813959879164604896417463559641013782874335282724864
• The square root of 40788514968238575104 is 6386588680.0574980433
• The cube root of 40788514968238575104 is 3442278.1851197529

Scales and comparisons

• 40,788,514,968,238,575,104 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 40,788,514,968,238,575,104 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 40788514968238575104 cubic inches would be around 286856.5 feet tall.

Recreational maths with 40788514968238575104

• 40788514968238575104 backwards is 40157583286941588704
• The number of decimal digits it has is: 20
• The sum of 40788514968238575104's digits is 95
• More coming soon!