13858915739501756399

Names of 13858915739501756399

• Cardinal: 13858915739501756399 can be written as Thirteen quintillion, eight hundred fifty-eight quadrillion, nine hundred fifteen trillion, seven hundred thirty-nine billion, five hundred one million, seven hundred fifty-six thousand, three hundred ninety-nine.

Scientific notation

• Scientific notation: 1.3858915739501756399 × 10¹⁹

Factors of 13858915739501756399

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 637

Divisors of 13858915739501756399

• Number of divisors d(n): 288
• Complete list of divisors:
  1 7 23 37 79 161 259 491 529 553 851 1369 1817 2923 3437 3703 5957 6241 9583 11293 12167 12719 18167 19573 20461 31487 38789 41791 43687 67229 79051 85169 108151 127169 137011 143543 220409 230917 241081 259739 271523 292537 417841 450179 470603 493039 672179 724201 757057 892147 961193 1004801 1435193 1546267 1616419 1687567 1818173 2487473 2924887 3064331 3151253 3301489 3451273 4705253 5069407 5311091 5544863 5973997 6245029 6728351 8543929 8919997 9610343 10046351 10823869 11339897 15460117 16656623 17412311 18242443 19045399 20519381 21450317 23110423 33009439 35564141 37177637 38814041 41817979 53102141 57211879 59807503 62439979 67272401 70479613 75934247 79379279 108220819 113380247 116596361 122155093 127531849 127697101 133317793 143635667 196510367 205159931 221037889 231066073 242082149 248948987 260817631 330039889 355582691 371714987 400483153 419576189 438044177 471945763 493357291 531539729 674970391 704679763 759217097 793661729 855085651 892722943 1221349243 1315873217 1375572569 1436119517 1504586521 1547265223 1621031099 1694575043 1825723417 2310279223 2489078837 2607745681 2809567139 2933232527 2937033323 3066309239 3303620341 4195069139 4519738441 4718678413 4724792737 4932758341 5314519679 5567889427 5998805513 7590917447 8178401893 8549444701 8957039513 9211112519 9650252347 10075016071 10532105647 11347217693 15524318993 16207634549 17461993231 18254219767 19666969973 20532627689 26073151231 28091032589 29365483973 31638169087 33030748891 34605489983 37283715277 38975225989 41991638591 53136422129 55669701277 57248813251 59978150663 62699276591 67551766429 70525112497 96486590197 103953984143 108529603499 108670232951 113453441843 118862335159 122233952617 128061456821 174591101281 182512058617 196637228123 206011908799 221955803981 231725369633 242238429881 260986006939 331410461981 357059336839 372775594627 389687908939 419847054641 599682478313 646093749547 675406131379 727677889001 759707224493 795926269609 832036346113 896430197747 1222137708967 1280403129371 1379497465249 1442083361593 1553690627867 1622077587431 2059778947249 2219191574531 2319873233867 2499415357873 2609429162389 2733833708657 2945413506883 4015595329463 4197777348191 4397906400883 4522656246829 4738273902377 5571483887263 7622440625563 8212364747297 8573838676421 8962821905597 9656482256743 13792697001199 14418452630743 15534341021717 18306304201007 19136835960599 20617894548181 28109167306241 29449271975533 30785344806181 33167917316639 47374915786727 51041406214213 53357084378941 57486553231079 60016870734947 62878175299111 96548879008393 101151847220309 108980299754671 128144129407049 162722536832671 175316134387949 206144903828731 317232031027577 331624410507089 357289843499491 440147227093777 677333255437259 708062930542163 762862098282697 1089623063094721 1139057757828697 1227212940715643 1446198031879553 2220624217193039 2326492486067107 3742618347151433 4032271090922827 4741332788060813 7627361441663047 10123386223156871 16285447402469749 25061330451178583 26198328430060031 28225897636459789 53509327179543461 86080221984482959 175429313158250081 374565290256804227 602561553891380713 1979845105643108057 13858915739501756399
• Sum of all divisors σ(n): 17271630554463129600
• Sum of proper divisors (its aliquot sum) s(n): 3412714814961373201
• 13858915739501756399 is a deficient number, because the sum of its proper divisors (3412714814961373201) is less than itself. Its deficiency is 10446200924540383198

Bases of 13858915739501756399

• Binary: 1100000001010100110000100110111111111001000100100111111111101111₂
• Hexadecimal: 0xC054C26FF9127FEF
• Base-36: 2XAKFM5GASAUN

Squares and roots of 13858915739501756399

• 13858915739501756399 squared (13858915739501756399²) is 192069545474609515431741887205937447201
• 13858915739501756399 cubed (13858915739501756399³) is 2661875646857014161791037837178094960885335741465826389199
• The square root of 13858915739501756399 is 3722756470.6144500099
• The cube root of 13858915739501756399 is 2402018.8880051941

Scales and comparisons

• 13,858,915,739,501,756,399 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,858,915,739,501,756,399 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13858915739501756399 cubic inches would be around 200168.2 feet tall.

Recreational maths with 13858915739501756399

• 13858915739501756399 backwards is 99365710593751985831
• The number of decimal digits it has is: 20
• The sum of 13858915739501756399's digits is 104
• More coming soon!