40713945135893352

Names of 40713945135893352

• Cardinal: 40713945135893352 can be written as Forty quadrillion, seven hundred thirteen trillion, nine hundred forty-five billion, one hundred thirty-five million, eight hundred ninety-three thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 4.0713945135893352 × 10¹⁶

Factors of 40713945135893352

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1335

Divisors of 40713945135893352

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 243 321 324 428 486 642 648 856 963 972 1223 1284 1926 1944 2446 2568 2889 3669 3852 4892 5778 7338 7704 8667 9784 11007 11449 11556 14676 17334 22014 22898 23112 26001 29352 33021 34347 34668 44028 45796 52002 66042 68694 69336 88056 91592 99063 103041 104004 130861 132084 137388 198126 206082 208008 261722 264168 274776 297189 309123 392583 396252 412164 523444 594378 618246 785166 792504 824328 927369 1046888 1177749 1188756 1236492 1495729 1570332 1854738 2355498 2377512 2472984 2782107 2991458 3140664 3533247 3709476 4487187 4710996 5564214 5982916 7066494 7418952 8974374 9421992 10599741 11128428 11965832 13461561 14002127 14132988 17948748 21199482 22256856 26923122 28004254 28265976 31799223 35897496 40384683 42006381 42398964 53846244 56008508 63598446 80769366 84012762 84797928 107692488 112017016 121154049 126019143 127196892 160043003 161538732 168025524 242308098 252038286 254393784 320086006 323077464 336051048 363462147 378057429 480129009 484616196 504076572 640172012 726924294 756114858 960258018 969232392 1008153144 1134172287 1280344024 1440387027 1453848588 1512229716 1829276567 1920516036 2268344574 2880774054 2907697176 3024459432 3402516861 3658553134 3841032072 4321161081 4536689148 5487829701 5761548108 6805033722 7317106268 8642322162 9073378296 10975659402 11523096216 12963483243 13610067444 14634212536 16463489103 17124601321 17284644324 21951318804 25926966486 27220134888 32926978206 34249202642 34569288648 38890449729 43902637608 49390467309 51373803963 51853932972 65853956412 68498405284 77780899458 98780934618 102747607926 103707865944 131707912824 136996810568 148171401927 154121411889 155561798916 195732592669 197561869236 205495215852 296342803854 308242823778 311123597832 391465185338 395123738472 410990431704 444514205781 462364235667 587197778007 592685607708 616485647556 782930370676 889028411562 924728471334 1174395556014 1185371215416 1232971295112 1387092707001 1565860741352 1761593334021 1778056823124 1849456942668 2348791112028 2774185414002 3523186668042 3556113646248 3698913885336 4161278121003 4697582224056 5284780002063 5548370828004 7046373336084 8322556242006 10569560004126 11096741656008 14092746672168 15854340006189 16645112484012 20943387415583 21139120008252 31708680012378 33290224968024 41886774831166 42278240016504 47563020018567 62830162246749 63417360024756 83773549662332 95126040037134 125660324493498 126834720049512 167547099324664 188490486740247 190252080074268 251320648986996 376980973480494 380504160148536 502641297973992 565471460220741 753961946960988 1130942920441482 1507923893921976 1696414380662223 2261885840882964 3392828761324446 4523771681765928 5089243141986669 6785657522648892 10178486283973338 13571315045297784 20356972567946676 40713945135893352
• Sum of all divisors σ(n): 115524042655694400
• Sum of proper divisors (its aliquot sum) s(n): 74810097519801048
• 40713945135893352 is an abundant number, because the sum of its proper divisors (74810097519801048) is greater than itself. Its abundance is 34096152383907696

Bases of 40713945135893352

• Binary: 10010000101001010001111000001101001110101100101101101000₂
• Hexadecimal: 0x90A51E0D3ACB68
• Base-36: B4VW06QZYI0

Squares and roots of 40713945135893352

• 40713945135893352 squared (40713945135893352²) is 1657625328528533936854283117795904
• 40713945135893352 cubed (40713945135893352³) is 67488466681577923889562460197255825115576246430208
• The square root of 40713945135893352 is 201776968.7944918851
• The cube root of 40713945135893352 is 344017.9173556173

Scales and comparisons

• 40,713,945,135,893,352 seconds is equal to 1,294,577,518 years, 42 weeks, 4 days, 14 hours, 49 minutes, 12 seconds.
• To count from 1 to 40,713,945,135,893,352 would take you about three billion, eight hundred eighty-three million, seven hundred thirty-two thousand, five hundred fifty-six 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 40713945135893352 cubic inches would be around 28668.2 feet tall.

Recreational maths with 40713945135893352

• 40713945135893352 backwards is 25339853154931704
• 40713945135893352 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40713945135893352's digits is 72
• More coming soon!