21138011514956352

Names of 21138011514956352

• Cardinal: 21138011514956352 can be written as Twenty-one quadrillion, one hundred thirty-eight trillion, eleven billion, five hundred fourteen million, nine hundred fifty-six thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 2.1138011514956352 × 10¹⁶

Factors of 21138011514956352

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 800460

Divisors of 21138011514956352

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 137 152 192 204 228 272 274 304 323 408 411 456 544 548 608 646 816 822 912 969 1088 1096 1216 1292 1632 1644 1824 1938 2192 2329 2584 2603 3121 3264 3288 3648 3876 4384 4658 5168 5206 6242 6576 6987 7752 7809 8768 9316 9363 10336 10412 12484 13152 13974 15504 15618 18632 18726 20672 20824 24968 26304 27948 31008 31236 37264 37452 41648 44251 49936 53057 55896 59299 62016 62472 74528 74904 83296 88502 99872 106114 111792 118598 124944 132753 149056 149808 159171 166592 177004 177897 199744 212228 223584 237196 249888 265506 299616 318342 354008 355794 424456 427577 447168 474392 499776 531012 599232 636684 708016 711588 797161 848912 855154 948784 1008083 1062024 1273368 1282731 1416032 1423176 1594322 1697824 1710308 1897568 2016166 2124048 2391483 2546736 2565462 2832064 2846352 3024249 3188644 3395648 3420616 3795136 4032332 4248096 4782966 5093472 5130924 5692704 6048498 6377288 6841232 7268809 8064664 8123963 8496192 9565932 10186944 10261848 11385408 12096996 12754576 13551737 13682464 14537618 15146059 16129328 16247926 19131864 20523696 21806427 24193992 24371889 25509152 27103474 27364928 29075236 30292118 32258656 32495852 38263728 40655211 41047392 43612854 45438177 48387984 48743778 51018304 54206948 58150472 60584236 64517312 64991704 76527456 81310422 82094784 87225708 90876354 96775968 97487556 108413896 109211057 116300944 121168472 129983408 138107371 153054912 162620844 174451416 181752708 193551936 194975112 216827792 218422114 232601888 242336944 257483003 259966816 276214742 325241688 327633171 348902832 363505416 389950224 414322113 433655584 436844228 465203776 484673888 514966006 519933632 552429484 650483376 655266342 697805664 727010832 772449009 779900448 828644226 867311168 873688456 969347776 1029932012 1104858968 1300966752 1310532684 1395611328 1454021664 1544898018 1559800896 1657288452 1747376912 1856587969 2059864024 2075010083 2209717936 2487939481 2601933504 2621065368 2908043328 3089796036 3314576904 3494753824 3713175938 4119728048 4150020166 4419435872 4975878962 5242130736 5569763907 6179592072 6225030249 6629153808 6989507648 7426351876 7463818443 8239456096 8300040332 8838871744 9951757924 10484261472 11139527814 12359184144 12450060498 13258307616 14852703752 14927636886 16478912192 16600080664 19903515848 20968522944 22279055628 24718368288 24900120996 26516615232 29705407504 29855273772 33200161328 35275171411 39807031696 42294971177 44558111256 47270850139 49436736576 49800241992 59410815008 59710547544 66400322656 70550342822 79614063392 84589942354 89116222512 94541700278 99600483984 105825514233 118821630016 119421095088 126884913531 132800645312 141100685644 141812550417 159228126784 169179884708 178232445024 189083400556 199200967968 211651028466 238842190176 253769827062 282201371288 283625100834 338359769416 340847708897 356464890048 378166801112 398401935936 423302056932 477684380352 507539654124 564402742576 567250201668 676719538832 681695417794 756333602224 803604452363 846604113864 1015079308248 1022543126691 1128805485152 1134500403336 1353439077664 1363390835588 1512667204448 1607208904726 1693208227728 2030158616496 2045086253382 2257610970304 2269000806672 2410813357089 2706878155328 2726781671176 3025334408896 3214417809452 3386416455456 4060317232992 4090172506764 4538001613344 4821626714178 5453563342352 5794411051249 6428835618904 6476106469043 6772832910912 8120634465984 8180345013528 9076003226688 9643253428356 10907126684704 11588822102498 12857671237808 12952212938086 16360690027056 17383233153747 19286506856712 19428319407129 21814253369408 23177644204996 25715342475616 25904425876172 32721380054112 34766466307494 38573013713424 38856638814258 46355288409992 51430684951232 51808851752344 65442760108224 69532932614988 77146027426848 77713277628516 92710576819984 103617703504688 110093809973731 139065865229976 154292054853696 155426555257032 185421153639968 207235407009376 220187619947462 278131730459952 310853110514064 330281429921193 370842307279936 414470814018752 440375239894924 556263460919904 621706221028128 660562859842386 880750479789848 1112526921839808 1243412442056256 1321125719684772 1761500959579696 2642251439369544 3523001919159392 5284502878739088 7046003838318784 10569005757478176 21138011514956352
• Sum of all divisors σ(n): 62809420469564160
• Sum of proper divisors (its aliquot sum) s(n): 41671408954607808
• 21138011514956352 is an abundant number, because the sum of its proper divisors (41671408954607808) is greater than itself. Its abundance is 20533397439651456

Bases of 21138011514956352

• Binary: 1001011000110001110100011010011100110110110101001000000₂
• Hexadecimal: 0x4B18E8D39B6A40
• Base-36: 5S4SSFKPYDC

Squares and roots of 21138011514956352

• 21138011514956352 squared (21138011514956352²) is 446815530806427331371788465147904
• 21138011514956352 cubed (21138011514956352³) is 9444791835247595562258946382280855107187784286208
• The square root of 21138011514956352 is 145389172.6194091525
• The cube root of 21138011514956352 is 276495.4846458377

Scales and comparisons

• 21,138,011,514,956,352 seconds is equal to 672,123,382 years, 4 days, 17 hours, 39 minutes, 12 seconds.
• To count from 1 to 21,138,011,514,956,352 would take you about two billion, sixteen million, three hundred seventy thousand, one hundred forty-six 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 21138011514956352 cubic inches would be around 23041.3 feet tall.

Recreational maths with 21138011514956352

• 21138011514956352 backwards is 25365941511083112
• 21138011514956352 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21138011514956352's digits is 57
• More coming soon!