Search a number
-
+
14991009408 = 273215186179
BaseRepresentation
bin11011111011000100…
…01010011010000000
31102200202020011220200
431331202022122000
5221200144300113
610515313205200
71040330322534
oct157542123200
942622204820
1014991009408
1163a3041281
122aa4560800
13154ba1ba8b
14a22d63bc4
155cb13a873
hex37d88a680

14991009408 has 96 divisors (see below), whose sum is σ = 43424378400. Its totient is φ = 4963852800.

The previous prime is 14991009373. The next prime is 14991009493. The reversal of 14991009408 is 80490019941.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130863 + ... + 217041.

It is an arithmetic number, because the mean of its divisors is an integer number (452337275).

Almost surely, 214991009408 is an apocalyptic number.

14991009408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14991009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21712189200).

14991009408 is an abundant number, since it is smaller than the sum of its proper divisors (28433368992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14991009408 is a wasteful number, since it uses less digits than its factorization.

14991009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86350 (or 86335 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 14991009408 in words is "fourteen billion, nine hundred ninety-one million, nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 288 302 384 453 576 604 906 1152 1208 1359 1812 2416 2718 3624 4832 5436 7248 9664 10872 14496 19328 21744 28992 43488 57984 86179 86976 172358 173952 258537 344716 517074 689432 775611 1034148 1378864 1551222 2068296 2757728 3102444 4136592 5515456 6204888 8273184 11030912 12409776 13013029 16546368 24819552 26026058 33092736 39039087 49639104 52052116 78078174 99278208 104104232 117117261 156156348 208208464 234234522 312312696 416416928 468469044 624625392 832833856 936938088 1249250784 1665667712 1873876176 2498501568 3747752352 4997003136 7495504704 14991009408