120806920131168

Names of 120806920131168

• Cardinal: 120806920131168 can be written as One hundred twenty trillion, eight hundred six billion, nine hundred twenty million, one hundred thirty-one thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.20806920131168 × 10¹⁴

Factors of 120806920131168

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 17726

Divisors of 120806920131168

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 127 152 174 228 232 254 304 348 381 456 464 508 551 608 696 762 912 928 1016 1093 1102 1392 1524 1653 1824 2032 2186 2204 2413 2784 3048 3279 3306 3683 4064 4372 4408 4826 6096 6558 6612 7239 7366 8744 8816 9652 11049 12192 13116 13224 14478 14732 16453 17488 17632 19304 20767 22098 26232 26448 28956 29464 31697 32906 34976 38608 41534 44196 49359 52464 52896 57912 58928 62301 63394 65812 69977 77216 83068 88392 95091 98718 104928 115824 117856 124602 126788 131624 138811 139954 166136 176784 190182 197436 209931 231648 249204 253576 263248 277622 279908 312607 332272 353568 380364 394872 416433 419862 477137 498408 507152 526496 555244 559816 602243 625214 664544 760728 789744 832866 839724 937821 954274 996816 1014304 1110488 1119632 1204486 1250428 1431411 1521456 1579488 1665732 1679448 1806729 1875642 1908548 1993632 2089531 2220976 2239264 2408972 2500856 2637409 2862822 3042912 3331464 3358896 3613458 3751284 3817096 4025519 4179062 4441952 4817944 5001712 5274818 5725644 6268593 6662928 6717792 7226916 7502568 7634192 7912227 8051038 8358124 9065603 9635888 10003424 10549636 11451288 12076557 12537186 13325856 14453832 15005136 15268384 15824454 16102076 16716248 17983129 18131206 19271776 21099272 22902576 24153114 25074372 27196809 28907664 30010272 31648908 32204152 33432496 35966258 36262412 39701089 42198544 45805152 48306228 50148744 53949387 54393618 57815328 60596399 63297816 64408304 66864992 71932516 72524824 76484861 79402178 84397088 96612456 100297488 107898774 108787236 119103267 121192798 126595632 128816608 143865032 145049648 152969722 158804356 181789197 193224912 200594976 215797548 217574472 229454583 238206534 242385596 253191264 287730064 290099296 305939444 317608712 341679451 363578394 386449824 431595096 435148944 458909166 476413068 484771192 521510741 575460128 611878888 635217424 683358902 727156788 863190192 870297888 917818332 952826136 969542384 1025038353 1043021482 1151331581 1223757776 1270434848 1366717804 1454313576 1564532223 1726380384 1835636664 1905652272 1939084768 2050076706 2086042964 2283857383 2302663162 2447515552 2733435608 2908627152 3129064446 3453994743 3671273328 3811304544 4100153412 4172085928 4567714766 4605326324 5466871216 5817254304 6258128892 6851572149 6907989486 7342546656 8200306824 8344171856 9135429532 9210652648 9908704079 10933742432 12516257784 13703144298 13815978972 16400613648 16688343712 18270859064 18421305296 19817408158 25032515568 27406288596 27631957944 29726112237 32801227296 36541718128 36842610592 39634816316 43393290277 50065031136 54812577192 55263915888 59452224474 66231864107 73083436256 79269632632 86786580554 109625154384 110527831776 118904448948 130179870831 132463728214 158539265264 173573161108 198695592321 219250308768 237808897896 260359741662 264927456428 317078530528 347146322216 397391184642 475617795792 520719483324 529854912856 694292644432 794782369284 951235591584 1041438966648 1059709825712 1258405418033 1388585288864 1589564738568 2082877933296 2119419651424 2516810836066 3179129477136 3775216254099 4165755866592 5033621672132 6358258954272 7550432508198 10067243344264 15100865016396 20134486688528 30201730032792 40268973377056 60403460065584 120806920131168
• Sum of all divisors σ(n): 348377883033600
• Sum of proper divisors (its aliquot sum) s(n): 227570962902432
• 120806920131168 is an abundant number, because the sum of its proper divisors (227570962902432) is greater than itself. Its abundance is 106764042771264

Bases of 120806920131168

• Binary: 11011011101111110001101100011111001001001100000₂
• Hexadecimal: 0x6DDF8D8F9260
• Base-36: 16TLXL3QLC

Squares and roots of 120806920131168

• 120806920131168 squared (120806920131168²) is 14594311951578404182325044224
• 120806920131168 cubed (120806920131168³) is 1763093878303682857846443151352441480773632
• The square root of 120806920131168 is 10991220.1384181183
• The cube root of 120806920131168 is 49434.5521645771

Scales and comparisons

• 120,806,920,131,168 seconds is equal to 3,841,286 years, 19 weeks, 5 days, 6 hours, 12 minutes, 48 seconds.
• To count from 1 to 120,806,920,131,168 would take you about nine million, six hundred three thousand, two hundred fifteen 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 120806920131168 cubic inches would be around 4119.5 feet tall.

Recreational maths with 120806920131168

• 120806920131168 backwards is 861131029608021
• 120806920131168 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 120806920131168's digits is 48
• More coming soon!