340902042736017152

Names of 340902042736017152

• Cardinal: 340902042736017152 can be written as Three hundred forty quadrillion, nine hundred two trillion, forty-two billion, seven hundred thirty-six million, seventeen thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 3.40902042736017152 × 10¹⁷

Factors of 340902042736017152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 142153284

Divisors of 340902042736017152

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 598 736 832 1196 1472 1664 2392 2944 3328 4784 5888 9568 19136 31337 38272 62674 76544 125348 250696 407381 501392 720751 814762 1002784 1441502 1629524 2005568 2883004 3259048 4011136 5766008 6518096 8022272 9369763 11532016 13036192 18739526 23064032 26072384 37479052 46128064 52144768 74958104 92256128 104289536 142121909 149916208 184512256 284243818 299832416 568487636 599664832 1136975272 1199329664 1847584817 2273950544 2398659328 3268803907 3695169634 4547901088 6537607814 7390339268 9095802176 13075215628 14780678536 18191604352 26150431256 29561357072 36383208704 42494450791 52300862512 59122714144 84988901582 104601725024 118245428288 169977803164 209203450048 236490856576 339955606328 418406900096 472981713152 679911212656 836813800192 1359822425312 2719644850624 4453674262333 5439289701248 8907348524666 10878579402496 17814697049332 35629394098664 57897765410329 71258788197328 102434508033659 115795530820658 142517576394656 204869016067318 231591061641316 285035152789312 409738032134636 463182123282632 570070305578624 819476064269272 926364246565264 1140140611157248 1331648604437567 1638952128538544 1852728493130528 2663297208875134 3277904257077088 3705456986261056 5326594417750268 6555808514154176 7410913972522112 10653188835500536 13111617028308352 14821827945044224 21306377671001072 26223234056616704 42612755342002144 85225510684004288 170451021368008576 340902042736017152
• Sum of all divisors σ(n): 764702463289423680
• Sum of proper divisors (its aliquot sum) s(n): 423800420553406528
• 340902042736017152 is an abundant number, because the sum of its proper divisors (423800420553406528) is greater than itself. Its abundance is 82898377817389376

Bases of 340902042736017152

• Binary: 10010111011001000001001101000001000011111000011111100000000₂
• Hexadecimal: 0x4BB209A087C3F00
• Base-36: 2L8NOSFJ44JK

Squares and roots of 340902042736017152

• 340902042736017152 squared (340902042736017152²) is 116214202741589264669370016038191104
• 340902042736017152 cubed (340902042736017152³) is 39617659109545425174881815856716038178458107597815808
• The square root of 340902042736017152 is 583868172.3951196435
• The cube root of 340902042736017152 is 698569.8984769237

Scales and comparisons

• 340,902,042,736,017,152 seconds is equal to 10,839,630,479 years, 39 weeks, 19 hours, 52 minutes, 32 seconds.
• To count from 1 to 340,902,042,736,017,152 would take you about thirty-two billion, five hundred eighteen million, eight hundred ninety-one thousand, four hundred thirty-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 340902042736017152 cubic inches would be around 58214.2 feet tall.

Recreational maths with 340902042736017152

• 340902042736017152 backwards is 251710637240209043
• The number of decimal digits it has is: 18
• The sum of 340902042736017152's digits is 56
• More coming soon!