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14406406664 = 2313157882313
BaseRepresentation
bin11010110101011000…
…00101001000001000
31101012000012021201012
431122230011020020
5214001020003124
610341311143052
71020001302416
oct153254051010
941160167635
1014406406664
11612304a611
122960814a88
1314878845b0
149a94682b6
15594b5ee0e
hex35ab05208

14406406664 has 32 divisors (see below), whose sum is σ = 29275178520. Its totient is φ = 6606752256.

The previous prime is 14406406621. The next prime is 14406406687. The reversal of 14406406664 is 46660460441.

It can be written as a sum of positive squares in 4 ways, for example, as 11937310564 + 2469096100 = 109258^2 + 49690^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424829 + ... + 457484.

Almost surely, 214406406664 is an apocalyptic number.

It is an amenable number.

14406406664 is an abundant number, since it is smaller than the sum of its proper divisors (14868771856).

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

14406406664 is a wasteful number, since it uses less digits than its factorization.

14406406664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882489 (or 882485 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 14406406664 in words is "fourteen billion, four hundred six million, four hundred six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 8164 16328 882313 1764626 3529252 7058504 11470069 22940138 45880276 91760552 138523141 277046282 554092564 1108185128 1800800833 3601601666 7203203332 14406406664