13388186314064016

Names of 13388186314064016

• Cardinal: 13388186314064016 can be written as Thirteen quadrillion, three hundred eighty-eight trillion, one hundred eighty-six billion, three hundred fourteen million, sixty-four thousand and sixteen.

Scientific notation

• Scientific notation: 1.3388186314064016 × 10¹⁶

Factors of 13388186314064016

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 569674

Divisors of 13388186314064016

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 43 48 52 56 63 72 78 84 86 91 104 112 117 126 129 144 156 168 172 182 208 234 252 258 273 301 312 336 344 364 387 468 504 516 546 559 602 624 688 728 774 819 903 936 1008 1032 1092 1118 1204 1456 1548 1638 1677 1806 1872 2064 2184 2236 2408 2709 3096 3276 3354 3612 3913 4368 4472 4816 5031 5418 6192 6552 6708 7224 7826 8944 10062 10836 11739 13104 13416 14448 15652 20124 21672 23478 26832 31304 35217 40248 43344 45319 46956 62608 70434 80496 90638 93912 135957 140868 181276 187824 271914 281736 317233 362552 407871 524287 543828 563472 589147 634466 725104 815742 951699 1048574 1087656 1178294 1268932 1572861 1631484 1767441 1903398 1948717 2097148 2175312 2356588 2537864 2855097 3145722 3262968 3534882 3670009 3806796 3897434 4124029 4194296 4713176 4718583 5075728 5302323 5710194 5846151 6291444 6525936 6815731 7069764 7340018 7613592 7794868 8248058 8388592 9426352 9437166 10604646 11010027 11420388 11692302 12372087 12582888 13631462 13641019 14139528 14680036 15227184 15589736 16496116 17538453 18874332 20447193 21209292 22020054 22544341 22840776 23384604 24744174 25165776 25333321 27262924 27282038 28279056 29360072 31179472 32992232 33030081 35076906 37116261 37748664 40894386 40923057 42418584 44040108 45088682 45681552 46769208 47710117 49488348 50666642 54525848 54564076 58720144 61341579 65984464 66060162 67633023 70153812 74232522 75497328 75999963 81788772 81846114 84837168 88080216 90177364 93538416 95420234 98976696 101333284 109051696 109128152 122683158 122769171 132120324 135266046 140307624 143130351 148465044 151999926 157810387 163577544 163692228 176160432 177333247 180354728 190840468 197953392 202666568 202899069 218256304 227999889 245366316 245538342 264240648 270532092 280615248 286260702 293076433 296930088 303999852 315620774 327155088 327384456 354666494 360709456 381680936 405333136 405798138 429391053 455999778 473431161 490732632 491076684 528481296 531999741 541064184 572521404 586152866 593860176 607999704 631241548 654768912 709332988 763361872 811596276 858782106 879229299 911999556 946862322 981465264 982153368 1063999482 1082128368 1145042808 1172305732 1215999408 1262483096 1418665976 1420293483 1595999223 1623192552 1717564212 1758458598 1823999112 1893724644 1964306736 2051535031 2127998964 2290085616 2344611464 2524966192 2637687897 2837331952 2840586966 3191998446 3246385104 3435128424 3516917196 3647998224 3787449288 4103070062 4255997928 4689222928 5275375794 5681173932 6154605093 6383996892 6870256848 7033834392 7574898576 8206140124 8511995856 10550751588 11362347864 12309210186 12767993784 14067668784 16412280248 18463815279 21101503176 22724695728 23760162553 24618420372 25535987568 32824560496 36927630558 42203006352 47520325106 49236840744 71280487659 73855261116 95040650212 98473681488 142560975318 147710522232 166321137871 190081300424 213841462977 285121950636 295421044464 308882113189 332642275742 380162600848 427682925954 498963413613 570243901272 617764226378 665284551484 855365851908 926646339567 997926827226 1021686989779 1140487802544 1235528452756 1330569102968 1496890240839 1710731703816 1853292679134 1995853654452 2043373979558 2162174792323 2471056905512 2661138205936 2779939018701 2993780481678 3065060969337 3421463407632 3706585358268 3991707308904 4086747959116 4324349584646 4942113811024 5559878037402 5987560963356 6130121938674 6486524376969 7151808928453 7413170716536 7983414617808 8173495918232 8648699169292 9195182908011 11119756074804 11975121926712 12260243877348 12973048753938 13281930867127 14303617856906 14826341433072 16346991836464 17297398338584 18390365816022 19459573130907 21455426785359 22239512149608 23950243853424 24520487754696 25946097507876 26563861734254 28607235713812 34594796677168 36780731632044 38919146261814 39845792601381 42910853570718 44479024299216 49040975509392 51892195015752 53127723468508 57214471427624 64366280356077 73561463264088 77838292523628 79691585202762 85821707141436 92973516069889 103784390031504 106255446937016 114428942855248 119537377804143 128732560712154 147122926528176 155676585047256 159383170405524 171643414282872 185947032139778 212510893874032 239074755608286 257465121424308 278920548209667 311353170094512 318766340811048 343286828565744 371894064279556 478149511216572 514930242848616 557841096419334 637532681622096 743788128559112 836761644629001 956299022433144 1029860485697232 1115682192838668 1487576257118224 1673523289258002 1912598044866288 2231364385677336 3347046578516004 4462728771354672 6694093157032008 13388186314064016
• Sum of all divisors σ(n): 47188433898045440
• Sum of proper divisors (its aliquot sum) s(n): 33800247583981424
• 13388186314064016 is an abundant number, because the sum of its proper divisors (33800247583981424) is greater than itself. Its abundance is 20412061269917408

Bases of 13388186314064016

• Binary: 101111100100000111110000001001011011111100000010010000₂
• Hexadecimal: 0x2F907C096FC090
• Base-36: 3NTPRVUO040

Squares and roots of 13388186314064016

• 13388186314064016 squared (13388186314064016²) is 179243532780091022866158146048256
• 13388186314064016 cubed (13388186314064016³) is 2399745812450899458005409851602674142645809156096
• The square root of 13388186314064016 is 115707330.4249303645
• The cube root of 13388186314064016 is 237450.9523923543

Scales and comparisons

• 13,388,186,314,064,016 seconds is equal to 425,702,912 years, 21 weeks, 1 day, 11 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,388,186,314,064,016 would take you about one billion, two hundred seventy-seven million, one hundred eight thousand, seven hundred thirty-seven 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 13388186314064016 cubic inches would be around 19787.6 feet tall.

Recreational maths with 13388186314064016

• 13388186314064016 backwards is 61046041368188331
• 13388186314064016 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13388186314064016's digits is 63
• More coming soon!