13958467898400960

Names of 13958467898400960

• Cardinal: 13958467898400960 can be written as Thirteen quadrillion, nine hundred fifty-eight trillion, four hundred sixty-seven billion, eight hundred ninety-eight million, four hundred thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.395846789840096 × 10¹⁶

Factors of 13958467898400960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 33333

Divisors of 13958467898400960

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 109 110 120 121 132 160 165 176 192 218 220 240 242 264 320 327 330 352 363 436 440 480 484 528 545 605 654 660 704 726 872 880 960 968 1056 1090 1199 1210 1308 1320 1452 1635 1744 1760 1815 1936 2112 2180 2398 2420 2616 2640 2904 3270 3488 3520 3597 3630 3872 4360 4796 4840 5232 5280 5808 5995 6540 6976 7194 7260 7744 8720 9592 9680 10464 10560 11616 11990 13080 13189 14388 14520 17440 17985 19184 19360 20928 23232 23980 26160 26378 28776 29040 33203 34880 35970 38368 38720 39567 47960 52320 52756 57552 58080 65945 66406 71940 76736 79134 95920 99609 104640 105512 115104 116160 131890 132812 143880 158268 166015 191840 197835 199218 211024 230208 263780 265624 287760 316536 332030 365233 383680 395670 398436 422048 498045 527560 531248 575520 633072 664060 730466 791340 796872 844096 996090 1055120 1062496 1095699 1151040 1266144 1328120 1460932 1582680 1593744 1826165 1992180 2110240 2124992 2191398 2532288 2656240 2921864 3165360 3187488 3619127 3652330 3984360 4017563 4220480 4382796 5312480 5478495 5843728 6330720 6374976 7238254 7304660 7968720 8035126 8765592 10624960 10857381 10956990 11687456 12052689 12661440 14476508 14609320 15937440 16070252 17531184 18095635 20087815 21714762 21913980 23374912 24105378 28953016 29218640 31874880 32140504 35062368 36191270 39810397 40175630 43429524 43827960 48210756 54286905 57906032 58437280 60263445 64281008 70124736 72382540 79620794 80351260 86859048 87655920 96421512 108573810 115812064 116874560 119431191 120526890 128562016 144765080 159241588 160702520 173718096 175311840 192843024 199051985 217147620 231624128 238862382 241053780 257124032 289530160 318483176 321405040 347436192 350623680 385686048 398103970 434295240 437914367 477724764 482107560 579060320 597155955 636966352 642810080 694872384 771372096 796207940 868590480 875828734 955449528 964215120 1102439209 1158120640 1194311910 1273932704 1285620160 1313743101 1592415880 1737180960 1751657468 1910899056 1928430240 2189571835 2204878418 2388623820 2547865408 2627486202 3184831760 3307317627 3474361920 3503314936 3821798112 3856860480 4379143670 4409756836 4777247640 5254972404 5512196045 6369663520 6568715505 6614635254 7006629872 7643596224 8758287340 8819513672 9554495280 10509944808 11024392090 12126831299 12739327040 13137431010 13229270508 14013259744 16536588135 17516574680 17639027344 19108990560 21019889616 22048784180 24253662598 26274862020 26458541016 28026519488 33073176270 35033149360 35278054688 36380493897 38217981120 42039779232 44097568360 48507325196 52549724040 52917082032 60634156495 66146352540 70066298720 70556109376 72760987794 84079558464 88195136720 97014650392 105099448080 105834164064 120165873781 121268312990 132292705080 133395144289 140132597440 145521975588 176390273440 181902469485 194029300784 210198896160 211668328128 240331747562 242536625980 264585410160 266790288578 291043951176 352780546880 360497621343 363804938970 388058601568 400185432867 420397792320 480663495124 485073251960 529170820320 533580577156 582087902352 600829368905 666975721445 720995242686 727609877940 776117203136 800370865734 961326990248 970146503920 1058341640640 1067161154312 1164175804704 1201658737810 1321824611591 1333951442890 1441990485372 1455219755880 1600741731468 1802488106715 1922653980496 1940293007840 2000927164335 2134322308624 2328351609408 2403317475620 2643649223182 2667902885780 2883980970744 2910439511760 3201483462936 3604976213430 3845307960992 3880586015680 3965473834773 4001854328670 4268644617248 4806634951240 5287298446364 5335805771560 5767961941488 5820879023520 6402966925872 6609123057955 7209952426860 7690615921984 7930947669546 8003708657340 8537289234496 9613269902480 10574596892728 10671611543120 11535923882976 11641758047040 12805933851744 13218246115910 14419904853720 14540070727501 15861895339092 16007417314680 19226539804960 19827369173865 21149193785456 21343223086240 23071847765952 25611867703488 26436492231820 28839809707440 29080141455002 31723790678184 32014834629360 38453079609920 39654738347730 42298387570912 42686446172480 43620212182503 52872984463640 57679619414880 58160282910004 63447581356368 64029669258720 72700353637505 79309476695460 84596775141824 87240424365006 105745968927280 115359238829760 116320565820008 126895162712736 128059338517440 145400707275010 158618953390920 174480848730012 211491937854560 218101060912515 232641131640016 253790325425472 290801414550020 317237906781840 348961697460024 422983875709120 436202121825030 465282263280032 581602829100040 634475813563680 697923394920048 872404243650060 930564526560064 1163205658200080 1268951627127360 1395846789840096 1744808487300120 2326411316400160 2791693579680192 3489616974600240 4652822632800320 6979233949200480 13958467898400960
• Sum of all divisors σ(n): 49161714433875120
• Sum of proper divisors (its aliquot sum) s(n): 35203246535474160
• 13958467898400960 is an abundant number, because the sum of its proper divisors (35203246535474160) is greater than itself. Its abundance is 21244778637073200

Bases of 13958467898400960

• Binary: 110001100101110010011100010000101100010110000011000000₂
• Hexadecimal: 0x31972710B160C0
• Base-36: 3TFV3MLQVUO

Squares and roots of 13958467898400960

• 13958467898400960 squared (13958467898400960²) is 194838826070690112980924928921600
• 13958467898400960 cubed (13958467898400960³) is 2719651499069855996451537614400917018297204736000
• The square root of 13958467898400960 is 118145960.1442256679
• The cube root of 13958467898400960 is 240775.6611318661

Scales and comparisons

• 13,958,467,898,400,960 seconds is equal to 443,836,102 years, 41 weeks, 1 day, 16 hours, 16 minutes.
• To count from 1 to 13,958,467,898,400,960 would take you about one billion, three hundred thirty-one million, five hundred eight thousand, three hundred eight 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 13958467898400960 cubic inches would be around 20064.6 feet tall.

Recreational maths with 13958467898400960

• 13958467898400960 backwards is 06900489876485931
• The number of decimal digits it has is: 17
• The sum of 13958467898400960's digits is 87
• More coming soon!