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14640516004 = 2210125992
BaseRepresentation
bin11011010001010010…
…01000101110100100
31101210022201021100111
431220221020232210
5214440433003004
610420433022404
71025543222062
oct155051105644
941708637314
1014640516004
11623320a404
122a070b4a04
1314c422212a
149cc5a9032
155aa4a5a04
hex368a48ba4

14640516004 has 27 divisors (see below), whose sum is σ = 25920359521. Its totient is φ = 7235680400.

The previous prime is 14640515993. The next prime is 14640516017. The reversal of 14640516004 is 40061504641.

The square root of 14640516004 is 120998.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14066434404 + 574081600 = 118602^2 + 23960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24441297 + ... + 24441895.

Almost surely, 214640516004 is an apocalyptic number.

14640516004 is the 120998-th square number.

It is an amenable number.

14640516004 is a deficient number, since it is larger than the sum of its proper divisors (11279843517).

14640516004 is an frugal number, since it uses more digits than its factorization.

14640516004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

It can be divided in two parts, 146405 and 16004, that added together give a square (162409 = 4032).

The spelling of 14640516004 in words is "fourteen billion, six hundred forty million, five hundred sixteen thousand, four".

Divisors: 1 2 4 101 202 404 599 1198 2396 10201 20402 40804 60499 120998 241996 358801 717602 1435204 6110399 12220798 24441596 36238901 72477802 144955604 3660129001 7320258002 14640516004