31313442184947968

Names of 31313442184947968

• Cardinal: 31313442184947968 can be written as Thirty-one quadrillion, three hundred thirteen trillion, four hundred forty-two billion, one hundred eighty-four million, nine hundred forty-seven thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.1313442184947968 × 10¹⁶

Factors of 31313442184947968

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 487

Divisors of 31313442184947968

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 256 368 431 496 713 736 862 961 992 1426 1472 1724 1922 1984 2852 2944 3448 3844 3968 5704 5888 6896 7688 7936 9913 11408 13361 13792 15376 19826 22103 22816 26722 27584 29791 30752 39652 44206 45632 53444 55168 59582 61504 79304 88412 91264 106888 110336 119164 123008 158608 176824 182528 185761 213776 238328 246016 307303 317216 353648 371522 414191 427552 476656 614606 634432 685193 707296 743044 828382 855104 923521 953312 1229212 1268864 1370386 1414592 1486088 1656764 1710208 1847042 1906624 2458424 2537728 2740772 2829184 2972176 3313528 3420416 3694084 3813248 4272503 4916848 5481544 5658368 5758591 5944352 6627056 7388168 7626496 8545006 9526393 9833696 10963088 11517182 11888704 12839921 13254112 14776336 17090012 19052786 19667392 21240983 21926176 23034364 23777408 25679842 26508224 28629151 29552672 34180024 38105572 39334784 42481966 43852352 46068728 47554816 51359684 53016448 57258302 59105344 68360048 76211144 78669568 84963932 87704704 92137456 102719368 106032896 114516604 118210688 132447593 136720096 152422288 169927864 175409408 178516321 184274912 205438736 229033208 236421376 264895186 273440192 295318183 304844576 339855728 357032642 368549824 398037551 410877472 458066416 529790372 546880384 590636366 609689152 658470473 679711456 714065284 737099648 796075102 821754944 916132832 1059580744 1093760768 1181272732 1219378304 1316940946 1359422912 1428130568 1474199296 1592150204 1643509888 1832265664 2119161488 2362545464 2438756608 2633881892 2718845824 2856261136 3184300408 3287019776 3664531328 4105875383 4238322976 4725090928 5267763784 5437691648 5534005951 5712522272 6368600816 7329062656 8211750766 8476645952 9154863673 9450181856 10535527568 11068011902 11425044544 12339164081 12737201632 16423501532 16953291904 18309727346 18900363712 21071055136 22136023804 22850089088 24678328162 25474403264 32847003064 33906583808 36619454692 37800727424 42142110272 44272047608 45700178176 49356656324 50948806528 65694006128 73238909384 75601454848 84284220544 88544095216 98713312648 101897613056 127282136873 131388012256 146477818768 168568441088 171554184481 177088190432 197426625296 254564273746 262776024512 283800773863 292955637536 343108368962 354176380864 394853250592 509128547492 525552049024 567601547726 585911275072 686216737924 708352761728 789706501184 1018257094984 1051104098048 1135203095452 1171822550144 1372433475848 1416705523456 1579413002368 2036514189968 2270406190904 2343645100288 2744866951696 3158826004736 3945746243063 4073028379936 4540812381808 5318179718911 5489733903392 7891492486126 8146056759872 9081624763616 10636359437822 10979467806784 15782984972252 16292113519744 18163249527232 21272718875644 21958935613568 31565969944504 32584227039488 36326499054464 42545437751288 43917871227136 63131939889008 72652998108928 85090875502576 122318133534953 126263879778016 170181751005152 244636267069906 252527759556032 340363502010304 489272534139812 505055519112064 680727004020608 978545068279624 1010111038224128 1361454008041216 1957090136559248 3914180273118496 7828360546236992 15656721092473984 31313442184947968
• Sum of all divisors σ(n): 67552962435770112
• Sum of proper divisors (its aliquot sum) s(n): 36239520250822144
• 31313442184947968 is an abundant number, because the sum of its proper divisors (36239520250822144) is greater than itself. Its abundance is 4926078065874176

Bases of 31313442184947968

• Binary: 1101111001111110110100011100110001000001110100100000000₂
• Hexadecimal: 0x6F3F68E620E900
• Base-36: 8KBOSQZSS8W

Squares and roots of 31313442184947968

• 31313442184947968 squared (31313442184947968²) is 980531661470078972177462867329024
• 31313442184947968 cubed (31313442184947968³) is 30703821491954290979253595907011380648564576223232
• The square root of 31313442184947968 is 176956045.9123902553
• The cube root of 31313442184947968 is 315193.2707771327

Scales and comparisons

• 31,313,442,184,947,968 seconds is equal to 995,670,602 years, 33 weeks, 3 days, 19 hours, 46 minutes, 8 seconds.
• To count from 1 to 31,313,442,184,947,968 would take you about two billion, nine hundred eighty-seven million, eleven thousand, eight hundred seven 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 31313442184947968 cubic inches would be around 26266.1 feet tall.

Recreational maths with 31313442184947968

• 31313442184947968 backwards is 86974948124431313
• The number of decimal digits it has is: 17
• The sum of 31313442184947968's digits is 77
• More coming soon!