138077357327892072

Names of 138077357327892072

• Cardinal: 138077357327892072 can be written as One hundred thirty-eight quadrillion, seventy-seven trillion, three hundred fifty-seven billion, three hundred twenty-seven million, eight hundred ninety-two thousand and seventy-two.

Scientific notation

• Scientific notation: 1.38077357327892072 × 10¹⁷

Factors of 138077357327892072

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1418385

Divisors of 138077357327892072

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 1901 2484 3449 3726 3802 4968 5703 6898 7452 7604 10347 11406 13796 14904 15208 17109 20694 22812 27592 31041 34218 41388 43723 45624 51327 62082 68436 79327 82776 87446 93123 102654 124164 131169 136872 153981 158654 174892 186246 205308 237981 248328 262338 279369 307962 317308 349784 372492 393507 410616 475962 524676 558738 615924 634616 713943 744984 787014 951924 1049352 1117476 1180521 1231848 1413007 1427886 1574028 1903848 2141829 2234952 2361042 2826014 2855772 3148056 3541563 4239021 4283658 4722084 5652028 5711544 6425487 6556549 7083126 8478042 8567316 9444168 11304056 12717063 12850974 13113098 14166252 16956084 17134632 19669647 25434126 25701948 26226196 28332504 32499161 33912168 38151189 39339294 50868252 51403896 52452392 59008941 64998322 76302378 78678588 97497483 101736504 114453567 118017882 129996644 150800627 152604756 157357176 177026823 194994966 228907134 236035764 259993288 292492449 301601254 305209512 354053646 389989932 452401881 457814268 472071528 531080469 584984898 603202508 708107292 779979864 877477347 904803762 915628536 1062160938 1169969796 1206405016 1357205643 1416214584 1754954694 1809607524 2124321876 2339939592 2632432041 2686126307 2714411286 3509909388 3619215048 4071616929 4248643752 4873461143 5264864082 5372252614 5428822572 7019818776 8058378921 8143233858 9746922286 10529728164 10744505228 10857645144 12214850787 14620383429 16116757842 16286467716 19493844572 21059456328 21489010456 24175136763 24429701574 29240766858 32233515684 32572935432 38987689144 43861150287 48350273526 48859403148 58481533716 61780905061 64467031368 72525410289 87722300574 96700547052 97718806296 112089606289 116963067432 123561810122 131583450861 145050820578 175444601148 185342715183 193401094104 217576230867 224179212578 247123620244 263166901722 290101641156 336268818867 350889202296 370685430366 394750352583 435152461734 448358425156 494247240488 526333803444 556028145549 580203282312 672537637734 741370860732 789500705166 870304923468 896716850312 1008806456601 1052667606888 1112056291098 1345075275468 1482741721464 1579001410332 1668084436647 1740609846936 2017612913202 2224112582196 2690150550936 3026419369803 3158002820664 3336168873294 4035225826404 4448225164392 5004253309941 6052838739606 6672337746588 8070451652808 9079258109409 9264449632843 10008506619882 12105677479212 13344675493176 18158516218818 18528899265686 20017013239764 24211354958424 27793348898529 36317032437636 37057798531372 40034026479528 55586697797058 72634064875272 74115597062744 83380046695587 111173395594116 166760093391174 213082341555389 222346791188232 250140140086761 333520186782348 426164683110778 500280280173522 639247024666167 667040373564696 750420420260283 852329366221556 1000560560347044 1278494049332334 1500840840520566 1704658732443112 1917741073998501 2001121120694088 2556988098664668 3001681681041132 3835482147997002 5113976197329336 5753223221995503 6003363362082264 7670964295994004 11506446443991006 15341928591988008 17259669665986509 23012892887982012 34519339331973018 46025785775964024 69038678663946036 138077357327892072
• Sum of all divisors σ(n): 403889069022912000
• Sum of proper divisors (its aliquot sum) s(n): 265811711695019928
• 138077357327892072 is an abundant number, because the sum of its proper divisors (265811711695019928) is greater than itself. Its abundance is 127734354367127856

Bases of 138077357327892072

• Binary: 111101010100011001001111111111011000011011011111001101000₂
• Hexadecimal: 0x1EA8C9FFB0DBE68
• Base-36: 11RKC69PB2I0

Squares and roots of 138077357327892072

• 138077357327892072 squared (138077357327892072²) is 19065356606654390473540618880453184
• 138077357327892072 cubed (138077357327892072³) is 2632494056760706130207264167423569309828802800757248
• The square root of 138077357327892072 is 371587617.2962334761
• The cube root of 138077357327892072 is 516861.4665081495

Scales and comparisons

• 138,077,357,327,892,072 seconds is equal to 4,390,432,861 years, 37 weeks, 2 days, 10 hours, 1 minute, 12 seconds.
• To count from 1 to 138,077,357,327,892,072 would take you about thirteen billion, one hundred seventy-one million, two hundred ninety-eight thousand, five hundred eighty-five 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 138077357327892072 cubic inches would be around 43071.8 feet tall.

Recreational maths with 138077357327892072

• 138077357327892072 backwards is 270298723753770831
• 138077357327892072 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138077357327892072's digits is 81
• More coming soon!