13398513723386288784

Names of 13398513723386288784

• Cardinal: 13398513723386288784 can be written as Thirteen quintillion, three hundred ninety-eight quadrillion, five hundred thirteen trillion, seven hundred twenty-three billion, three hundred eighty-six million, two hundred eighty-eight thousand, seven hundred eighty-four.

Scientific notation

• Scientific notation: 1.3398513723386288784 × 10¹⁹

Factors of 13398513723386288784

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 7646

Divisors of 13398513723386288784

• Number of divisors d(n): 450
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3607 3969 4027 4536 5292 7056 7214 7938 8054 9072 10584 10821 12081 14428 15876 16108 21168 21642 24162 25249 28189 28856 31752 32216 32463 36243 43284 48324 50498 56378 57712 63504 64432 64926 72486 75747 84567 86568 96648 97389 100996 108729 112756 129852 144972 151494 169134 173136 176743 193296 194778 197323 201992 217458 225512 227241 253701 259704 289944 292167 302988 326187 338268 353486 389556 394646 403984 434916 451024 454482 507402 519408 530229 579888 584334 591969 605976 652374 676536 681723 706972 761103 779112 789292 869832 908964 1014804 1060458 1168668 1183938 1211952 1304748 1353072 1363446 1413944 1522206 1558224 1578584 1590687 1739664 1775907 1817928 2029608 2045169 2120916 2283309 2337336 2367876 2609496 2726892 2827888 3044412 3157168 3181374 3551814 3635856 4059216 4090338 4241832 4566618 4674672 4735752 4772061 5218992 5327721 5453784 6088824 6362748 7103628 8180676 8483664 9133236 9471504 9544122 10655442 10907568 12177648 12725496 13010449 14207256 14316183 14525389 15983163 16361352 18266472 19088244 21310884 25450992 26020898 28414512 28632366 29050778 31966326 32722704 36532944 38176488 39031347 42621768 43576167 52041796 57264732 58101556 63932652 76352976 78062694 85243536 87152334 91073143 101677723 104083592 114529464 116203112 117094041 127865304 130728501 156125388 174304668 182146286 203355446 208167184 229058928 232406224 234188082 255730608 261457002 273219429 305033169 312250776 348609336 351282123 364292572 392185503 406710892 468376164 522914004 546438858 610066338 624501552 637512001 697218672 702564246 711744061 728585144 784371006 813421784 819658287 915099507 936752328 1045828008 1053846369 1092877716 1176556509 1220132676 1275024002 1405128492 1423488122 1457170288 1568742012 1626843568 1639316574 1830199014 1873504656 1912536003 2091656016 2107692738 2135232183 2185755432 2353113018 2440265352 2458974861 2550048004 2745298521 2810256984 2846976244 3137484024 3278633148 3660398028 3825072006 4215385476 4270464366 4371510864 4706226036 4880530704 4917949722 5100096008 5490597042 5620513968 5693952488 5737608009 6274968048 6405696549 6557266296 7320796056 7376924583 7650144012 8235895563 8430770952 8540928732 9412452072 9835899444 10200192016 10981194084 11387904976 11475216018 12811393098 13114532592 14641592112 14753849166 15300288024 16471791126 16861541904 17081857464 17212824027 18824904144 19217089647 19671798888 21962388168 22950432036 25622786196 29507698332 30600576048 32943582252 34163714928 34425648054 38434179294 39343597776 43924776336 45900864072 51245572392 51638472081 52393078123 57651268941 59015396664 65887164504 68851296108 76868358588 91801728144 102491144784 103276944162 104786156246 115302537882 118030793328 131774329008 137702592216 153736717176 157179234369 206553888324 209572312492 230605075764 275405184432 307473434352 314358468738 366751546861 413107776648 419144624984 461210151528 471537703107 628716937476 733503093722 826215553296 838289249968 922420303056 943075406214 1100254640583 1257433874952 1414613109321 1467006187444 1886150812428 2200509281166 2514867749904 2567260828027 2829226218642 2934012374888 3300763921749 3772301624856 4243839327963 4401018562332 5134521656054 5658452437284 5868024749776 6601527843498 7544603249712 7701782484081 8487678655926 8802037124664 9902291765247 10269043312108 11316904874568 13203055686996 15403564968162 16975357311852 17604074249328 19804583530494 20538086624216 22633809749136 23105347452243 26406111373992 29706875295741 30807129936324 33950714623704 39609167060988 41076173248432 46210694904486 52812222747984 59413750591482 61614259872648 67901429247408 69316042356729 79218334121976 92421389808972 118827501182964 123228519745296 138632084713458 158436668243952 184842779617944 207948127070187 237655002365928 277264169426916 369685559235888 415896254140374 475310004731856 554528338853832 831792508280748 1109056677707664 1663585016561496 3327170033122992
• Sum of all divisors σ(n): 13406394449194741764
• Sum of proper divisors (its aliquot sum) s(n): 7880725808452980
• 13398513723386288784 is a deficient number, because the sum of its proper divisors (7880725808452980) is less than itself. Its deficiency is 13390632997577835804

Bases of 13398513723386288784

• Binary: 1011100111110001000101010011111000111000101000101101101010010000₂
• Hexadecimal: 0xB9F1153E38A2DA90
• Base-36: 2TSN4PZ4BFD00

Squares and roots of 13398513723386288784

• 13398513723386288784 squared (13398513723386288784²) is 179520169995770711876079184688644198656
• 13398513723386288784 cubed (13398513723386288784³) is 2405303461312973363204265584918875764897841942395480674304
• 13398513723386288784 is a perfect square number. Its square root is 3660398028
• The cube root of 13398513723386288784 is 2375119.9185033501

Scales and comparisons

• 13,398,513,723,386,288,784 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,398,513,723,386,288,784 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 13398513723386288784 cubic inches would be around 197926.7 feet tall.

Recreational maths with 13398513723386288784

• 13398513723386288784 backwards is 48788268332731589331
• The number of decimal digits it has is: 20
• The sum of 13398513723386288784's digits is 99
• More coming soon!