138188429218781312

Names of 138188429218781312

• Cardinal: 138188429218781312 can be written as One hundred thirty-eight quadrillion, one hundred eighty-eight trillion, four hundred twenty-nine billion, two hundred eighteen million, seven hundred eighty-one thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.38188429218781312 × 10¹⁷

Factors of 138188429218781312

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 77019

Divisors of 138188429218781312

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 392 427 448 488 784 854 896 976 1568 1708 1952 2989 3136 3416 3721 3904 5978 6272 6832 7442 7808 11956 13664 14884 23912 26047 27328 29768 47824 52094 54656 59536 76949 95648 104188 119072 153898 182329 191296 208376 238144 307796 364658 382592 416752 476288 538643 615592 729316 833504 1077286 1231184 1458632 1667008 2154572 2462368 2917264 3334016 3770501 4309144 4693889 4924736 5834528 7541002 8618288 9387778 9849472 11669056 15082004 17236576 18775556 23338112 30164008 32857223 34473152 37551112 60328016 65714446 68946304 75102224 120656032 131428892 150204448 230000561 241312064 262857784 286327229 300408896 460001122 482624128 525715568 572654458 600817792 920002244 1051431136 1145308916 1840004488 2004290603 2102862272 2290617832 3680008976 4008581206 4205724544 4581235664 5921148601 7360017952 8017162412 9162471328 11842297202 14030034221 14720035904 16034324824 18324942656 23684594404 28060068442 29440071808 32068649648 36649885312 41448040207 47369188808 56120136884 64137299296 82896080414 94738377616 112240273768 128274598592 165792160828 189476755232 224480547536 256549197184 290136281449 331584321656 361190064661 378953510464 448961095072 580272562898 663168643312 722380129322 757907020928 897922190144 1160545125796 1326337286624 1444760258644 1795844380288 2321090251592 2528330452627 2652674573248 2889520517288 4642180503184 5056660905254 5305349146496 5779041034576 9284361006368 10113321810508 11558082069152 17698313168389 18568722012736 20226643621016 22032593944321 23116164138304 35396626336778 37137444025472 40453287242032 44065187888642 46232328276608 70793252673556 80906574484064 88130375777284 141586505347112 154228157610247 161813148968128 176260751554568 283173010694224 308456315220494 323626297936256 352521503109136 566346021388448 616912630440988 705043006218272 1079597103271729 1132692042776896 1233825260881976 1410086012436544 2159194206543458 2265384085553792 2467650521763952 2820172024873088 4318388413086916 4935301043527904 8636776826173832 9870602087055808 17273553652347664 19741204174111616 34547107304695328 69094214609390656 138188429218781312
• Sum of all divisors σ(n): 325583945630858655
• Sum of proper divisors (its aliquot sum) s(n): 187395516412077343
• 138188429218781312 is an abundant number, because the sum of its proper divisors (187395516412077343) is greater than itself. Its abundance is 49207087193296031

Bases of 138188429218781312

• Binary: 111101010111100011010010011101011101001111001100010000000₂
• Hexadecimal: 0x1EAF1A4EBA79880
• Base-36: 11SNPJZPCNSW

Squares and roots of 138188429218781312

• 138188429218781312 squared (138188429218781312²) is 19096041969954132647542958480441344
• 138188429218781312 cubed (138188429218781312³) is 2638852044123883908815201862875898586721059579363328
• The square root of 138188429218781312 is 371737043.1081375459
• The cube root of 138188429218781312 is 517000.0202262727

Scales and comparisons

• 138,188,429,218,781,312 seconds is equal to 4,393,964,604 years, 14 weeks, 4 days, 2 hours, 48 minutes, 32 seconds.
• To count from 1 to 138,188,429,218,781,312 would take you about thirteen billion, one hundred eighty-one million, eight hundred ninety-three thousand, eight hundred twelve 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 138188429218781312 cubic inches would be around 43083.3 feet tall.

Recreational maths with 138188429218781312

• 138188429218781312 backwards is 213187812924881831
• The number of decimal digits it has is: 18
• The sum of 138188429218781312's digits is 77
• More coming soon!