138853464761008768

Names of 138853464761008768

• Cardinal: 138853464761008768 can be written as One hundred thirty-eight quadrillion, eight hundred fifty-three trillion, four hundred sixty-four billion, seven hundred sixty-one million, eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38853464761008768 × 10¹⁷

Factors of 138853464761008768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1542

Divisors of 138853464761008768

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 8 16 19 32 38 64 76 101 128 152 202 304 361 404 599 608 722 808 821 1198 1216 1444 1616 1642 1919 2396 2432 2888 3232 3284 3838 4792 5776 6464 6568 7676 9584 10201 11381 11552 12928 13136 15352 15599 19168 20402 22762 23104 26272 30704 31198 36461 38336 40804 45524 46208 52544 60499 61408 62396 72922 76672 81608 82921 91048 105088 120998 122816 124792 145844 163216 165842 182096 193819 216239 241996 245632 249584 291688 296381 326432 331684 358801 364192 387638 432478 483992 491779 499168 583376 592762 652864 663368 717602 728384 775276 864956 967984 983558 998336 1149481 1166752 1185524 1305728 1326736 1435204 1456768 1550552 1575499 1729912 1935968 1967116 1996672 2298962 2333504 2371048 2653472 2870408 3101104 3150998 3459824 3682561 3871936 3934232 4597924 4667008 4742096 5306944 5740816 6110399 6202208 6301996 6817219 6919648 7365122 7743872 7868464 8375021 9195848 9343801 9484192 10613888 11481632 12220798 12404416 12603992 13634438 13839296 14730244 15736928 16750042 18391696 18687602 18968384 21840139 22963264 24441596 24808832 25207984 27268876 27678592 29460488 29934481 31473856 33500084 36238901 36783392 37375204 37936768 43680278 45926528 48883192 49669679 50415968 54537752 58920976 59868962 62947712 67000168 72477802 73566784 74750408 87360556 97766384 99339358 100831936 109075504 116097581 117841952 119737924 129527161 134000336 144955604 147133568 149500816 159125399 174721112 177532219 195532768 198678716 201663872 218151008 232195162 235683904 239475848 259054322 268000672 289911208 294575621 299001632 318250798 349442224 355064438 391065536 397357432 436302016 464390324 471367808 478951696 518108644 536001344 579822416 589151242 598003264 636501596 688539119 698884448 710128876 782131072 794714864 872604032 928780648 943723901 957903392 1036217288 1072002688 1159644832 1178302484 1196006528 1273003192 1377078238 1397768896 1420257752 1589429728 1857561296 1887447802 1915806784 2072434576 2205854039 2319289664 2356604968 2546006384 2754156476 2795537792 2840515504 3023382581 3178859456 3660129001 3715122592 3774895604 3831613568 4144869152 4411708078 4638579328 4713209936 5016637579 5092012768 5508312952 5596936799 5681031008 6046765162 6357718912 7320258002 7430245184 7549791208 8289738304 8823416156 9426419872 10033275158 10184025536 11016625904 11193873598 11362062016 12093530324 13082243261 14640516004 14860490368 15099582416 16579476608 17646832312 17930754119 18852839744 20066550316 20368051072 22033251808 22387747196 22724124032 24187060648 26164486522 29281032008 29752137721 30199164832 35293664624 35861508238 37705679488 40133100632 44066503616 44775494392 48374121296 52328973044 58562064016 59504275442 60398329664 69542451019 70587329248 71723016476 80266201264 88133007232 89550988784 95316114001 96748242592 104657946088 106341799181 117124128032 119008550884 120796659328 139084902038 141174658496 143446032952 160532402528 179101977568 190632228002 193496485184 209315892176 212683598362 234248256064 238017101768 278169804076 282349316992 286892065904 321064805056 358203955136 381264456004 386992970368 418631784352 425367196724 468496512128 476034203536 556339608152 565290616699 573784131808 642129610112 716407910272 762528912008 837263568704 850734393448 952068407072 1112679216304 1130581233398 1147568263616 1321306569361 1525057824016 1674527137408 1701468786896 1811006166019 1904136814144 2225358432608 2261162466796 2295136527232 2642613138722 3004965909821 3050115648032 3402937573792 3622012332038 3808273628288 4450716865216 4522324933592 5285226277444 6009931819642 6100231296064 6805875147584 7244024664076 8901433730432 9044649867184 10570452554888 10740521717281 12019863639284 12200462592128 13611750295168 14488049328152 18089299734368 21140905109776 21481043434562 24039727278568 28976098656304 36178599468736 42281810219552 42962086869124 48079454557136 57094352286599 57952197312608 72357198937472 84563620439104 85924173738248 96158909114272 114188704573198 115904394625216 169127240878208 171848347476496 192317818228544 228377409146396 231808789250432 343696694952992 384635636457088 456754818292792 687393389905984 913509636585584 1084792693445381 1374786779811968 1827019273171168 2169585386890762 3654038546342336 4339170773781524 7308077092684672 8678341547563048 17356683095126096 34713366190252192 69426732380504384 138853464761008768
• Sum of all divisors σ(n): 295719494150569230
• Sum of proper divisors (its aliquot sum) s(n): 156866029389560462
• 138853464761008768 is an abundant number, because the sum of its proper divisors (156866029389560462) is greater than itself. Its abundance is 18012564628551694

Bases of 138853464761008768

• Binary: 111101101010011100111110110010010111010011000001010000000₂
• Hexadecimal: 0x1ED4E7D92E98280
• Base-36: 11Z7G13OHGN4

Squares and roots of 138853464761008768

• 138853464761008768 squared (138853464761008768²) is 19280284676136703721479048972877824
• 138853464761008768 cubed (138853464761008768³) is 2677134328860165137345129051973514107843754256760832
• The square root of 138853464761008768 is 372630466.7643384847
• The cube root of 138853464761008768 is 517828.0521812525

Scales and comparisons

• 138,853,464,761,008,768 seconds is equal to 4,415,110,677 years, 22 weeks, 3 days, 17 hours, 59 minutes, 28 seconds.
• To count from 1 to 138,853,464,761,008,768 would take you about thirteen billion, two hundred forty-five million, three hundred thirty-two thousand and thirty-two 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 138853464761008768 cubic inches would be around 43152.3 feet tall.

Recreational maths with 138853464761008768

• 138853464761008768 backwards is 867800167464358831
• The number of decimal digits it has is: 18
• The sum of 138853464761008768's digits is 85
• More coming soon!