13956295975501824

Names of 13956295975501824

• Cardinal: 13956295975501824 can be written as Thirteen quadrillion, nine hundred fifty-six trillion, two hundred ninety-five billion, nine hundred seventy-five million, five hundred one thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.3956295975501824 × 10¹⁶

Factors of 13956295975501824

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 37
• Sum of prime factors: 413

Divisors of 13956295975501824

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 343 378 384 392 401 432 441 448 504 512 576 588 672 686 756 768 784 802 864 882 896 1008 1024 1029 1152 1176 1203 1323 1344 1372 1512 1536 1568 1604 1728 1764 1792 2016 2048 2058 2304 2352 2401 2406 2646 2688 2744 2807 3024 3072 3087 3136 3208 3456 3528 3584 3609 4032 4096 4116 4608 4704 4802 4812 5292 5376 5488 5614 6048 6144 6174 6272 6416 6912 7056 7168 7203 7218 8064 8192 8232 8421 9216 9261 9408 9604 9624 10584 10752 10827 10976 11228 12096 12288 12348 12544 12832 13824 14112 14336 14406 14436 16128 16384 16464 16842 18432 18522 18816 19208 19248 19649 21168 21504 21609 21654 21952 22456 24192 24576 24696 25088 25263 25664 27648 28224 28672 28812 28872 32256 32768 32928 33684 36864 37044 37632 38416 38496 39298 42336 43008 43218 43308 43904 44912 48384 49152 49392 50176 50526 51328 55296 56448 57344 57624 57744 58947 64512 64827 65536 65856 67368 73728 74088 75264 75789 76832 76992 78596 84672 86016 86436 86616 87808 89824 96768 98304 98784 100352 101052 102656 110592 112896 114688 115248 115488 117894 129024 129654 131072 131712 134736 137543 147456 148176 150528 151578 153664 153984 157192 169344 172032 172872 173232 175616 176841 179648 193536 196608 197568 200704 202104 205312 221184 225792 229376 230496 230976 235788 258048 259308 262144 263424 269472 275086 294912 296352 301056 303156 307328 307968 314384 338688 344064 345744 346464 351232 353682 359296 387072 393216 395136 401408 404208 410624 412629 442368 451584 458752 460992 461952 471576 516096 518616 524288 526848 530523 538944 550172 589824 592704 602112 606312 614656 615936 628768 677376 688128 691488 692928 702464 707364 718592 774144 786432 790272 802816 808416 821248 825258 884736 903168 917504 921984 923904 943152 962801 1032192 1037232 1048576 1053696 1061046 1077888 1100344 1179648 1185408 1204224 1212624 1229312 1231872 1237887 1257536 1354752 1376256 1382976 1385856 1404928 1414728 1437184 1548288 1572864 1580544 1605632 1616832 1642496 1650516 1769472 1806336 1835008 1843968 1847808 1886304 1925602 2064384 2074464 2097152 2107392 2122092 2155776 2200688 2359296 2370816 2408448 2425248 2458624 2463744 2475774 2515072 2709504 2752512 2765952 2771712 2809856 2829456 2874368 2888403 3096576 3145728 3161088 3211264 3233664 3284992 3301032 3538944 3612672 3670016 3687936 3695616 3713661 3772608 3851204 4128768 4148928 4194304 4214784 4244184 4311552 4401376 4718592 4741632 4816896 4850496 4917248 4927488 4951548 5030144 5419008 5505024 5531904 5543424 5619712 5658912 5748736 5776806 6193152 6291456 6322176 6422528 6467328 6569984 6602064 7077888 7225344 7340032 7375872 7391232 7427322 7545216 7702408 8257536 8297856 8388608 8429568 8488368 8623104 8665209 8802752 9437184 9483264 9633792 9700992 9834496 9854976 9903096 10060288 10838016 11010048 11063808 11086848 11239424 11317824 11497472 11553612 12386304 12582912 12644352 12845056 12934656 13139968 13204128 14155776 14450688 14680064 14751744 14782464 14854644 15090432 15404816 16515072 16595712 16777216 16859136 16976736 17246208 17330418 17605504 18874368 18966528 19267584 19401984 19668992 19709952 19806192 20120576 21676032 22020096 22127616 22173696 22478848 22635648 22994944 23107224 24772608 25165824 25288704 25690112 25869312 25995627 26279936 26408256 28311552 28901376 29360128 29503488 29564928 29709288 30180864 30809632 33030144 33191424 33554432 33718272 33953472 34492416 34660836 35211008 37748736 37933056 38535168 38803968 39337984 39419904 39612384 40241152 43352064 44040192 44255232 44347392 44957696 45271296 45989888 46214448 49545216 50331648 50577408 51380224 51738624 51991254 52559872 52816512 56623104 57802752 58720256 59006976 59129856 59418576 60361728 61619264 66060288 66382848 67108864 67436544 67906944 68984832 69321672 70422016 75497472 75866112 77070336 77607936 78675968 78839808 79224768 80482304 86704128 88080384 88510464 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79470526464 80564191232 80731963392 81126162432 82413879296 88785027072 90634715136 90823458816 92073361408 92715614208 94187290624 94647189504 101468602368 103582531584 105960701952 106478088192 107642617856 108168216576 118380036096 120846286848 121097945088 121689243648 123620818944 126196252672 135952072704 138110042112 139073421312 141280935936 141970784256 144224288768 155373797376 158941052928 161128382464 161463926784 162252324864 164827758592 177570054144 181269430272 181646917632 184146722816 185431228416 188374581248 189294379008 207165063168 211921403904 212956176384 215285235712 216336433152 236760072192 241692573696 242195890176 243378487296 247241637888 252392505344 271904145408 276220084224 278146842624 282561871872 283941568512 288448577536 310747594752 317882105856 322256764928 322927853568 324504649728 329655517184 355140108288 362538860544 363293835264 370862456832 376749162496 378588758016 414330126336 423842807808 425912352768 432672866304 483385147392 484391780352 486756974592 494483275776 504785010688 543808290816 552440168448 556293685248 565123743744 567883137024 576897155072 621495189504 635764211712 644513529856 645855707136 649009299456 659311034368 710280216576 725077721088 726587670528 741724913664 753498324992 757177516032 828660252672 847685615616 851824705536 865345732608 966770294784 968783560704 973513949184 988966551552 1009570021376 1087616581632 1112587370496 1130247487488 1135766274048 1153794310144 1242990379008 1271528423424 1289027059712 1298018598912 1318622068736 1450155442176 1453175341056 1483449827328 1506996649984 1514355032064 1657320505344 1695371231232 1703649411072 1730691465216 1933540589568 1937567121408 1947027898368 1977933103104 2019140042752 2175233163264 2225174740992 2260494974976 2271532548096 2307588620288 2485980758016 2543056846848 2596037197824 2637244137472 2900310884352 2906350682112 2966899654656 3028710064128 3390742462464 3407298822144 3461382930432 3867081179136 3894055796736 3955866206208 4038280085504 4350466326528 4450349481984 4520989949952 4543065096192 4615177240576 4971961516032 5086113693696 5192074395648 5274488274944 5800621768704 5812701364224 5933799309312 6057420128256 6781484924928 6814597644288 6922765860864 7788111593472 7911732412416 8076560171008 8700932653056 8900698963968 9086130192384 9230354481152 10172227387392 10384148791296 10548976549888 11601243537408 11867598618624 12114840256512 13562969849856 13629195288576 13845531721728 15576223186944 15823464824832 16153120342016 17401865306112 17801397927936 18172260384768 18460708962304 20344454774784 20768297582592 23735197237248 24229680513024 27258390577152 27691063443456 31152446373888 31646929649664 32306240684032 34803730612224 35602795855872 36344520769536 36921417924608 40688909549568 41536595165184 47470394474496 48459361026048 54516781154304 55382126886912 62304892747776 64612481368064 71205591711744 72689041539072 73842835849216 83073190330368 94940788948992 96918722052096 109033562308608 110764253773824 124609785495552 129224962736128 142411183423488 145378083078144 166146380660736 193837444104192 218067124617216 221528507547648 249219570991104 258449925472256 284822366846976 290756166156288 332292761321472 387674888208384 436134249234432 498439141982208 516899850944512 581512332312576 664585522642944 775349776416768 872268498468864 996878283964416 1163024664625152 1550699552833536 1744536996937728 1993756567928832 2326049329250304 3489073993875456 4652098658500608 6978147987750912 13956295975501824
• Sum of all divisors σ(n): 48361417607265840
• Sum of proper divisors (its aliquot sum) s(n): 34405121631764016
• 13956295975501824 is an abundant number, because the sum of its proper divisors (34405121631764016) is greater than itself. Its abundance is 20448825656262192

Bases of 13956295975501824

• Binary: 110001100101010010110101100000000000000000000000000000₂
• Hexadecimal: 0x31952D60000000
• Base-36: 3TF3DUYXHC0

Squares and roots of 13956295975501824

• 13956295975501824 squared (13956295975501824²) is 194778197355808409167968627326976
• 13956295975501824 cubed (13956295975501824³) is 2718382171872368917851954851612056846161332404224
• The square root of 13956295975501824 is 118136768.0931801351
• The cube root of 13956295975501824 is 240763.1723376943

Scales and comparisons

• 13,956,295,975,501,824 seconds is equal to 443,767,042 years, 18 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 13,956,295,975,501,824 would take you about one billion, three hundred thirty-one million, three hundred one thousand, one hundred twenty-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 13956295975501824 cubic inches would be around 20063.6 feet tall.

Recreational maths with 13956295975501824

• 13956295975501824 backwards is 42810557959265931
• The number of decimal digits it has is: 17
• The sum of 13956295975501824's digits is 81
• More coming soon!