13838630586348672
13,838,630,586,348,672 is an even composite number composed of six prime numbers multiplied together.
13838630586348672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13838630586348672:
27 × 32 × 13 × 31 × 181 × 164686127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 181 × 164686127)See below for interesting mathematical facts about the number 13838630586348672 from the Numbermatics database.
Names of 13838630586348672
- Cardinal: 13838630586348672 can be written as Thirteen quadrillion, eight hundred thirty-eight trillion, six hundred thirty billion, five hundred eighty-six million, three hundred forty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.3838630586348672 × 1016
Factors of 13838630586348672
Divisors of 13838630586348672
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 128 144 156 181 186 192 208 234 248 279 288 312 362 372 384 403 416 468 496 543 558 576 624 724 744 806 832 936 992 1086 1116 1152 1209 1248 1448 1488 1612 1629 1664 1872 1984 2172 2232 2353 2418 2496 2896 2976 3224 3258 3627 3744 3968 4344 4464 4706 4836 4992 5611 5792 5952 6448 6516 7059 7254 7488 8688 8928 9412 9672 11222 11584 11904 12896 13032 14118 14508 14976 16833 17376 17856 18824 19344 21177 22444 23168 25792 26064 28236 29016 33666 34752 35712 37648 38688 42354 44888 50499 51584 52128 56472 58032 67332 69504 72943 75296 77376 84708 89776 100998 104256 112944 116064 134664 145886 150592 154752 169416 179552 201996 208512 218829 225888 232128 269328 291772 301184 338832 359104 403992 437658 451776 464256 538656 583544 656487 677664 718208 807984 875316 903552 1077312 1167088 1312974 1355328 1615968 1750632 2154624 2334176 2625948 2710656 3231936 3501264 4668352 5251896 6463872 7002528 9336704 10503792 14005056 21007584 28010112 42015168 84030336 164686127 329372254 494058381 658744508 988116762 1317489016 1482175143 1976233524 2140919651 2634978032 2964350286 3952467048 4281839302 5105269937 5269956064 5928700572 6422758953 7904934096 8563678604 10210539874 10539912128 11857401144 12845517906 15315809811 15809868192 17127357208 19268276859 20421079748 21079824256 23714802288 25691035812 29808188987 30631619622 31619736384 34254714416 38536553718 40842159496 45947429433 47429604576 51382071624 59616377974 61263239244 63239472768 66368509181 68509428832 77073107436 81684318992 89424566961 91894858866 94859209152 102764143248 119232755948 122526478488 132737018362 137018857664 154146214872 163368637984 178849133922 183789717732 189718418304 199105527543 205528286496 238465511896 245052956976 265474036724 268273700883 274037715328 308292429744 326737275968 357698267844 367579435464 387506456831 398211055086 411056572992 476931023792 490105913952 530948073448 536547401766 597316582629 616584859488 653474551936 715396535688 735158870928 775012913662 796422110172 822113145984 924053858597 953862047584 980211827904 1061896146896 1073094803532 1162519370493 1194633165258 1233169718976 1430793071376 1470317741856 1550025827324 1592844220344 1848107717194 1907724095168 1960423655808 2123792293792 2146189607064 2325038740986 2389266330516 2466339437952 2772161575791 2861586142752 2940635483712 3100051654648 3185688440688 3487558111479 3696215434388 3815448190336 4247584587584 4292379214128 4650077481972 4778532661032 5544323151582 5723172285504 5881270967424 6200103309296 6371376881376 6975116222958 7392430868776 8316484727373 8495169175168 8584758428256 9300154963944 9557065322064 11088646303164 11446344571008 12012700161761 12400206618592 12742753762752 13950232445916 14784861737552 16632969454746 17169516856512 18600309927888 19114130644128 22177292606328 24025400323522 24800413237184 25485507525504 27900464891832 29569723475104 33265938909492 34339033713024 36038100485283 37200619855776 38228261288256 44354585212656 48050800647044 49600826474368 55800929783664 59139446950208 66531877818984 72076200970566 74401239711552 76456522576512 88709170425312 96101601294088 108114301455849 111601859567328 118278893900416 133063755637968 144152401941132 148802479423104 177418340850624 192203202588176 216228602911698 223203719134656 266127511275936 288304803882264 354836681701248 384406405176352 432457205823396 446407438269312 532255022551872 576609607764528 768812810352704 864914411646792 1064510045103744 1153219215529056 1537625620705408 1729828823293584 2306438431058112 3459657646587168 4612876862116224 6919315293174336 13838630586348672
- Sum of all divisors σ(n): 44513316559595520
- Sum of proper divisors (its aliquot sum) s(n): 30674685973246848
- 13838630586348672 is an abundant number, because the sum of its proper divisors (30674685973246848) is greater than itself. Its abundance is 16836055386898176
Bases of 13838630586348672
- Binary: 1100010010101000101001010001000100011011110100100000002
- Hexadecimal: 0x312A294446F480
- Base-36: 3S9DV4K9B40
Squares and roots of 13838630586348672
- 13838630586348672 squared (138386305863486722) is 191507696505424989403485156163584
- 13838630586348672 cubed (138386305863486723) is 2650204266381152944843735118987651938150093160448
-
The
square root of 13838630586348672 is 117637709.0322175221 -
The
cube root of 13838630586348672 is 240084.6378933439
Scales and comparisons
How big is 13838630586348672?- 13,838,630,586,348,672 seconds is equal to 440,025,646 years, 49 weeks, 3 days, 3 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,838,630,586,348,672 would take you about one billion, three hundred twenty million, seventy-six thousand, nine hundred forty 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 13838630586348672 cubic inches would be around 20007.1 feet tall.
Recreational maths with 13838630586348672
- 13838630586348672 backwards is 27684368503683831
- The number of decimal digits it has is: 17
- The sum of 13838630586348672's digits is 81
- More coming soon!
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