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14661782144 = 27351732569
BaseRepresentation
bin11011010011110100…
…10000101010000000
31101211210201201000022
431221322100222000
5220011404012034
610422512513012
71026222043352
oct155172205200
941753651008
1014661782144
116244214a29
122a1224b768
1314c8759949
149d13430d2
155ac2a6b2e
hex369e90a80

14661782144 has 32 divisors (see below), whose sum is σ = 29218221300. Its totient is φ = 7328581632.

The previous prime is 14661782137. The next prime is 14661782173. The reversal of 14661782144 is 44128716641.

It can be written as a sum of positive squares in 2 ways, for example, as 9823188544 + 4838593600 = 99112^2 + 69560^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 14661782095 and 14661782104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 433892 + ... + 466460.

Almost surely, 214661782144 is an apocalyptic number.

It is an amenable number.

14661782144 is a deficient number, since it is larger than the sum of its proper divisors (14556439156).

14661782144 is an equidigital number, since it uses as much as digits as its factorization.

14661782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36100 (or 36088 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The spelling of 14661782144 in words is "fourteen billion, six hundred sixty-one million, seven hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 3517 7034 14068 28136 32569 56272 65138 112544 130276 225088 260552 450176 521104 1042208 2084416 4168832 114545173 229090346 458180692 916361384 1832722768 3665445536 7330891072 14661782144