13405899938816

Names of 13405899938816

• Cardinal: 13405899938816 can be written as Thirteen trillion, four hundred five billion, eight hundred ninety-nine million, nine hundred thirty-eight thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.3405899938816 × 10¹³

Factors of 13405899938816

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1250

Divisors of 13405899938816

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 37 44 56 61 64 71 74 77 88 112 122 128 142 148 154 176 224 244 256 259 284 296 308 352 407 427 448 488 497 512 518 568 592 616 671 704 781 814 854 896 976 994 1024 1036 1061 1136 1184 1232 1342 1408 1562 1628 1708 1792 1952 1988 2072 2122 2257 2272 2368 2464 2627 2684 2816 2849 3124 3256 3416 3584 3904 3976 4144 4244 4331 4514 4544 4697 4736 4928 5254 5368 5467 5632 5698 6248 6512 6832 7168 7427 7808 7952 8288 8488 8662 9028 9088 9394 9472 9856 10508 10736 10934 11264 11396 11671 12496 13024 13664 14854 15616 15799 15904 16576 16976 17324 18056 18176 18389 18788 18944 19712 21016 21472 21868 22792 23342 24827 24992 26048 27328 28897 29708 30317 31232 31598 31808 33152 33952 34648 36112 36352 36778 37576 37888 39257 39424 42032 42944 43736 45584 46684 47641 49654 49984 52096 54656 57794 59416 60634 62464 63196 63616 64721 66304 67904 69296 72224 72704 73556 75152 75331 78514 78848 81697 84064 85888 87472 91168 93368 95282 99308 99968 104192 109312 115588 118832 121268 126392 127232 129442 132608 135808 138592 144448 147112 150304 150662 157028 160247 163394 168128 171776 173789 174944 182336 186736 190564 198616 199936 202279 208384 218624 231176 237664 242536 252784 254464 258884 265216 271616 274799 277184 288896 294224 300608 301324 314056 320494 326788 333487 336256 343552 347578 349888 364672 373472 381128 397232 399872 404558 416768 431827 437248 453047 462352 475328 485072 505568 508928 517768 527317 543232 549598 554368 577792 588448 601216 602648 628112 640988 653576 666974 672512 687104 695156 699776 711931 729344 746944 762256 794464 799744 809116 828641 863654 906094 924704 950656 970144 1011136 1035536 1054634 1086464 1099196 1108736 1121729 1155584 1176896 1202432 1205296 1256224 1281976 1307152 1333948 1345024 1390312 1399552 1423862 1458688 1493888 1524512 1588928 1618232 1657282 1727308 1762717 1812188 1849408 1901312 1940288 2022272 2071072 2109268 2198392 2217472 2243458 2311168 2353792 2394677 2404864 2410592 2512448 2563952 2614304 2667896 2690048 2780624 2787247 2799104 2847724 2917376 2987776 3022789 3049024 3177856 3236464 3314564 3454616 3525434 3624376 3698816 3802624 3880576 4044544 4142144 4218536 4396784 4434944 4486916 4595191 4707584 4789354 4809728 4821184 4983517 5024896 5127904 5228608 5335792 5561248 5574494 5598208 5695448 5800487 5975552 6045578 6098048 6355712 6472928 6629128 6909232 7050868 7248752 7397632 7605248 7761152 8089088 8284288 8437072 8793568 8973832 9190382 9415168 9578708 9642368 9967034 10049792 10255808 10457216 10671584 11122496 11148988 11390896 11600974 11951104 12091156 12196096 12339019 12711424 12945856 13258256 13818464 14101736 14497504 14795264 15522304 16178176 16568576 16762739 16874144 17587136 17947664 18380764 18830336 19157416 19284736 19510729 19934068 20099584 20511616 20914432 21343168 22244992 22297976 22781792 23201948 24182312 24392192 24678038 25422848 25891712 26341447 26516512 27636928 28203472 28995008 29590528 30659717 31044608 32166337 33137152 33525478 33748288 35174272 35895328 36761528 38314832 38569472 39021458 39868136 40199168 41023232 41828864 42686336 44489984 44595952 45563584 46403896 48364624 48784384 49356076 50547101 51783424 52682894 53033024 55273856 56406944 57990016 61319434 64332674 66274304 67050956 67496576 70348544 71790656 73523056 76629664 77138944 78042916 79736272 82046464 83657728 85372672 88979968 89191904 91127168 92807792 96729248 98712152 101094202 103566848 105365788 106066048 110547712 112813888 115980032 122638868 128665348 134101912 134993152 140697088 143581312 147046112 153259328 156085832 159472544 164092928 170022067 170745344 177959936 178383808 182254336 184390129 185615584 193458496 197424304 202188404 207133696 210731576 212132096 214618019 221095424 225627776 231960064 245277736 257330696 268203824 269986304 281394176 287162624 294092224 306518656 312171664 318945088 340044134 341490688 353829707 356767616 364508672 368780258 371231168 386916992 394848608 404376808 421463152 424264192 429236038 442190848 451255552 463920128 490555472 514661392 536407648 539972608 574325248 588184448 613037312 624343328 637890176 680088268 707659414 713535232 729017344 737560516 742462336 773833984 789697216 808753616 842926304 848528384 858472076 902511104 981110944 1029322784 1072815296 1148650496 1176368896 1190154469 1226074624 1248686656 1275780352 1360176536 1415318828 1427070464 1475121032 1484924672 1547667968 1579394432 1617507232 1685852608 1716944152 1805022208 1870242737 1962221888 2058645568 2145630592 2352737792 2380308938 2452149248 2497373312 2551560704 2720353072 2830637656 2854140928 2950242064 2969849344 3095335936 3158788864 3235014464 3371705216 3433888304 3740485474 3924443776 4117291136 4291261184 4705475584 4760617876 4994746624 5103121408 5440706144 5661275312 5900484128 5939698688 6317577728 6470028928 6743410432 6867776608 7480970948 7848887552 8234582272 8582522368 9521235752 9989493248 10881412288 11322550624 11800968256 12635155456 12940057856 13091699159 13486820864 13735553216 14961941896 15697775104 16469164544 17165044736 19042471504 19978986496 21762824576 22645101248 23601936512 25880115712 26183398318 26973641728 27471106432 29923883792 31395550208 32938329088 38084943008 43525649152 45290202496 47203873024 51760231424 52366796636 54942212864 59847767584 76169886016 87051298304 90580404992 94407746048 104733593272 109884425728 119695535168 152339772032 174102596608 181160809984 188815492096 209467186544 219768851456 239391070336 304679544064 362321619968 418934373088 478782140672 609359088128 837868746176 957564281344 1218718176256 1675737492352 1915128562688 3351474984704 6702949969408 13405899938816
• Sum of all divisors σ(n): 35401476446208
• Sum of proper divisors (its aliquot sum) s(n): 21995576507392
• 13405899938816 is an abundant number, because the sum of its proper divisors (21995576507392) is greater than itself. Its abundance is 8589676568576

Bases of 13405899938816

• Binary: 11000011000101001101111001110101110000000000₂
• Hexadecimal: 0xC314DE75C00
• Base-36: 4R2L2OYRK

Squares and roots of 13405899938816

• 13405899938816 squared (13405899938816²) is 179718153169546832543481856
• 13405899938816 cubed (13405899938816³) is 2409283578579752398869110011010006122496
• The square root of 13405899938816 is 3661406.8250900501
• The cube root of 13405899938816 is 23755.5628343807

Scales and comparisons

• 13,405,899,938,816 seconds is equal to 426,266 years, 7 weeks, 5 days, 22 hours, 6 minutes, 56 seconds.
• To count from 1 to 13,405,899,938,816 would take you about one million, sixty-five thousand, six hundred sixty-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 13405899938816 cubic inches would be around 1979.6 feet tall.

Recreational maths with 13405899938816

• 13405899938816 backwards is 61883999850431
• 13405899938816 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13405899938816's digits is 74
• More coming soon!