Search a number
-
+
14004314592 = 253157929161
BaseRepresentation
bin11010000101011100…
…01110000111100000
31100010222120220002020
431002232032013200
5212140101031332
610233345021440
71004016465342
oct150256160740
940128526066
1014004314592
115a37085914
12286a024880
13142248c9a8
1496bcbb292
1556e6d682c
hex342b8e1e0

14004314592 has 48 divisors (see below), whose sum is σ = 36995514192. Its totient is φ = 4638366720.

The previous prime is 14004314567. The next prime is 14004314617. The reversal of 14004314592 is 29541340041.

It is an interprime number because it is at equal distance from previous prime (14004314567) and next prime (14004314617).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×140043145922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449509 + ... + 479652.

It is an arithmetic number, because the mean of its divisors is an integer number (770739879).

Almost surely, 214004314592 is an apocalyptic number.

14004314592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14004314592 is an abundant number, since it is smaller than the sum of its proper divisors (22991199600).

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

14004314592 is a wasteful number, since it uses less digits than its factorization.

14004314592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929331 (or 929323 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 14004314592 in words is "fourteen billion, four million, three hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 15072 929161 1858322 2787483 3716644 5574966 7433288 11149932 14866576 22299864 29733152 44599728 89199456 145878277 291756554 437634831 583513108 875269662 1167026216 1750539324 2334052432 3501078648 4668104864 7002157296 14004314592