105953743601664

Names of 105953743601664

• Cardinal: 105953743601664 can be written as One hundred five trillion, nine hundred fifty-three billion, seven hundred forty-three million, six hundred one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.05953743601664 × 10¹⁴

Factors of 105953743601664

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 3234

Divisors of 105953743601664

• Number of divisors d(n): 368
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 431 448 512 672 768 862 896 1024 1293 1344 1536 1724 1792 2048 2586 2688 2791 3017 3072 3448 3584 4096 5172 5376 5582 6034 6144 6896 7168 8192 8373 9051 10344 10752 11164 12068 12288 13792 14336 16384 16746 18102 19537 20688 21504 22328 24136 24576 27584 28672 32768 33492 36204 39074 41376 43008 44656 48272 49152 55168 57344 58611 65536 66984 72408 78148 82752 86016 89312 96544 98304 110336 114688 117222 131072 133968 144816 156296 165504 172032 178624 193088 196608 220672 229376 234444 262144 267936 289632 312592 331008 344064 357248 386176 393216 441344 458752 468888 524288 535872 579264 625184 662016 688128 714496 772352 786432 882688 917504 937776 1048576 1071744 1158528 1202921 1250368 1324032 1376256 1428992 1544704 1572864 1765376 1835008 1875552 2097152 2143488 2317056 2405842 2500736 2648064 2752512 2857984 3089408 3145728 3530752 3608763 3670016 3751104 4194304 4286976 4634112 4811684 5001472 5296128 5505024 5715968 6178816 6291456 7061504 7217526 7340032 7502208 8420447 8573952 9268224 9623368 10002944 10592256 11010048 11431936 12357632 12582912 14123008 14435052 14680064 15004416 16840894 17147904 18536448 19246736 20005888 21184512 22020096 22863872 24715264 25261341 28246016 28870104 29360128 30008832 33681788 34295808 37072896 38493472 40011776 42369024 44040192 45727744 49430528 50522682 56492032 57740208 60017664 67363576 68591616 74145792 76986944 80023552 84738048 88080384 91455488 98861056 101045364 112984064 115480416 120035328 134727152 137183232 148291584 153973888 160047104 169476096 182910976 197722112 202090728 225968128 230960832 240070656 269454304 274366464 296583168 307947776 320094208 338952192 365821952 395444224 404181456 451936256 461921664 480141312 538908608 548732928 593166336 615895552 640188416 677904384 731643904 790888448 808362912 903872512 923843328 960282624 1077817216 1097465856 1186332672 1231791104 1280376832 1355808768 1463287808 1581776896 1616725824 1807745024 1847686656 1920565248 2155634432 2194931712 2372665344 2463582208 2560753664 2711617536 2926575616 3163553792 3233451648 3695373312 3841130496 4311268864 4389863424 4745330688 4927164416 5121507328 5423235072 5853151232 6327107584 6466903296 7390746624 7682260992 8622537728 8779726848 9490661376 9854328832 10243014656 11706302464 12654215168 12933806592 14781493248 15364521984 17245075456 17559453696 18981322752 19708657664 20486029312 25867613184 29562986496 30729043968 34490150912 35118907392 37962645504 39417315328 40972058624 51735226368 59125972992 61458087936 68980301824 78834630656 81944117248 103470452736 118251945984 122916175872 137960603648 157669261312 206940905472 236503891968 245832351744 275921207296 315338522624 413881810944 473007783936 551842414592 630677045248 827763621888 946015567872 1103684829184 1261354090496 1655527243776 1892031135744 2207369658368 2522708180992 3311054487552 3784062271488 4414739316736 5045416361984 6622108975104 7568124542976 8829478633472 13244217950208 15136249085952 17658957266944 26488435900416 35317914533888 52976871800832 105953743601664
• Sum of all divisors σ(n): 323771776045056
• Sum of proper divisors (its aliquot sum) s(n): 217818032443392
• 105953743601664 is an abundant number, because the sum of its proper divisors (217818032443392) is greater than itself. Its abundance is 111864288841728

Bases of 105953743601664

• Binary: 11000000101110101000111010000000000000000000000₂
• Hexadecimal: 0x605D47400000
• Base-36: 11K2H7ANEO

Squares and roots of 105953743601664

• 105953743601664 squared (105953743601664²) is 11226195783207155018703568896
• 105953743601664 cubed (105953743601664³) is 1189457469636012478320427849162841804242944
• The square root of 105953743601664 is 10293383.4865734989
• The cube root of 105953743601664 is 47319.3498182867

Scales and comparisons

• 105,953,743,601,664 seconds is equal to 3,369,001 years, 16 weeks, 20 hours, 54 minutes, 24 seconds.
• To count from 1 to 105,953,743,601,664 would take you about eight million, four hundred twenty-two thousand, five hundred three 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 105953743601664 cubic inches would be around 3943.3 feet tall.

Recreational maths with 105953743601664

• 105953743601664 backwards is 466106347359501
• The number of decimal digits it has is: 15
• The sum of 105953743601664's digits is 60
• More coming soon!