13686558717724464

Names of 13686558717724464

• Cardinal: 13686558717724464 can be written as Thirteen quadrillion, six hundred eighty-six trillion, five hundred fifty-eight billion, seven hundred seventeen million, seven hundred twenty-four thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.3686558717724464 × 10¹⁶

Factors of 13686558717724464

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 284672

Divisors of 13686558717724464

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 121 124 132 143 156 176 186 208 242 248 264 286 312 341 363 372 403 429 484 496 528 572 624 682 726 744 806 858 968 1023 1144 1209 1364 1452 1488 1573 1612 1716 1936 2046 2288 2418 2728 2904 3146 3224 3432 3751 4092 4433 4719 4836 5456 5808 6292 6448 6864 7502 8184 8866 9438 9672 11253 12584 13299 15004 16368 17732 18876 19344 22291 22506 25168 26598 30008 35464 37752 44582 45012 48763 53196 60016 66873 70928 75504 89164 90024 97526 106392 133746 146289 178328 180048 195052 212784 245201 262321 267492 289783 292578 356656 390104 490402 524642 534984 579566 585156 691021 735603 780208 786963 869349 980804 1049284 1069968 1159132 1170312 1382042 1471206 1573926 1738698 1961608 2073063 2098568 2318264 2340624 2697211 2764084 2885531 2942412 3147852 3187613 3410173 3477396 3923216 4146126 4197136 4636528 5394422 5528168 5771062 5884824 6295704 6375226 6820346 6954792 7601231 8091633 8131951 8292252 8656593 8983273 9562839 10230519 10788844 11056336 11542124 11769648 12591408 12750452 13640692 13909584 15202462 16183266 16263902 16584504 17313186 17966546 19125678 20461038 21577688 22803693 23084248 24395853 25500904 26949819 27281384 30404924 31740841 32366532 32527804 33169008 34626372 35063743 35933092 37511903 38251356 40922076 43155376 45607386 46168496 48791706 51001808 53899638 54562768 60809848 63481682 64733064 65055608 69252744 70127486 71866184 75023806 76502712 81844152 83613541 89451461 91214772 95222523 97583412 98816003 105191229 105715363 107799276 112535709 121619696 126963364 129466128 130111216 138505488 140254972 143732368 150047612 153005424 163688304 167227082 178902922 182429544 190445046 195166824 197632006 210382458 211430726 215598552 225071418 250840623 253926728 268354383 280509944 296448009 300095224 317146089 334454164 357805844 364859088 380890092 390333648 395264012 412630933 420764916 422861452 431197104 450142836 501681246 507853456 536708766 561019888 592896018 600190448 634292178 668908328 715611688 761780184 790528024 825261866 841529832 845722904 900285672 983966071 1003362492 1073417532 1086976033 1162868993 1185792036 1237892799 1268584356 1337816656 1431223376 1523560368 1581056048 1650523732 1683059664 1691445808 1800571344 1967932142 2006724984 2146835064 2173952066 2325737986 2371584072 2475785598 2537168712 2951898213 3260928099 3301047464 3488606979 3935864284 4013449968 4293670128 4347904132 4651475972 4743168144 4951571196 5074337424 5847397411 5903796426 6521856198 6602094928 6977213958 7871728568 8695808264 9302951944 9903142392 11694794822 11807592852 12791558923 13043712396 13954427916 15743457136 17391616528 17542192233 18605903888 19806284784 23389589644 23615185704 25583117846 26087424792 27908855832 35084384466 38374676769 46779179288 47230371408 51166235692 52174849584 55817711664 64321371521 70168768932 76016166343 76749353538 93558358576 102332471384 128642743042 140337537864 152032332686 153498707076 181269319741 192964114563 204664942768 228048499029 257285486084 280675075728 304064665372 306997414152 362538639482 385928229126 456096998058 514570972168 543807959223 608129330744 613994828304 707535086731 725077278964 771856458252 836177829773 912193996116 1029141944336 1087615918446 1216258661488 1415070173462 1450154557928 1543712916504 1672355659546 1824387992232 1993962517151 2122605260193 2175231836892 2356501156633 2508533489319 2830140346924 2900309115856 3087425833008 3344711319092 3648775984464 3987925034302 4245210520386 4350463673784 4713002313266 5017066978638 5660280693848 5981887551453 6689422638184 7069503469899 7975850068604 8490421040772 8700927347568 9197956127503 9426004626532 10034133957276 11320561387696 11963775102906 13378845276368 14139006939798 15951700137208 16980842081544 18395912255006 18852009253064 20068267914552 21933587688661 23927550205812 25921512722963 27593868382509 28278013879596 31903400274416 33961684163088 36791824510012 37704018506128 40136535829104 43867175377322 47855100411624 51843025445926 55187736765018 56556027759192 65800763065983 73583649020024 77764538168889 87734350754644 95710200823248 103686050891852 110375473530036 113112055518384 131601526131966 147167298040048 155529076337778 175468701509288 207372101783704 220750947060072 263203052263932 285136639952593 311058152675556 350937403018576 414744203567408 441501894120144 526406104527864 570273279905186 622116305351112 855409919857779 1052812209055728 1140546559810372 1244232610702224 1710819839715558 2281093119620744 3421639679431116 4562186239241488 6843279358862232 13686558717724464
• Sum of all divisors σ(n): 43205107429033984
• Sum of proper divisors (its aliquot sum) s(n): 29518548711309520
• 13686558717724464 is an abundant number, because the sum of its proper divisors (29518548711309520) is greater than itself. Its abundance is 15831989993585056

Bases of 13686558717724464

• Binary: 110000100111111101101001000110100100010100011100110000₂
• Hexadecimal: 0x309FDA46914730
• Base-36: 3QRHA9W24HC

Squares and roots of 13686558717724464

• 13686558717724464 squared (13686558717724464²) is 187321889533719524238230224087296
• 13686558717724464 cubed (13686558717724464³) is 2563792040218347985274999239542569658822410809344
• The square root of 13686558717724464 is 116989566.7045761137
• The cube root of 13686558717724464 is 239201.9716113761

Scales and comparisons

• 13,686,558,717,724,464 seconds is equal to 435,190,231 years, 47 weeks, 5 days, 2 hours, 34 minutes, 24 seconds.
• To count from 1 to 13,686,558,717,724,464 would take you about one billion, three hundred five million, five hundred seventy thousand, six hundred ninety-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 13686558717724464 cubic inches would be around 19933.5 feet tall.

Recreational maths with 13686558717724464

• 13686558717724464 backwards is 46442771785568631
• The number of decimal digits it has is: 17
• The sum of 13686558717724464's digits is 84
• More coming soon!