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14400016656 = 243714225357
BaseRepresentation
bin11010110100100111…
…01101000100010000
31101011120011122021020
431122103231010100
5213442401013111
610340522155440
71016563056564
oct153223550420
941146148236
1014400016656
11611a485713
12295a652b80
131486457c1c
149a86836a4
155942eb906
hex35a4ed110

14400016656 has 40 divisors (see below), whose sum is σ = 37723996224. Its totient is φ = 4732398720.

The previous prime is 14400016639. The next prime is 14400016669. The reversal of 14400016656 is 65661000441.

It is a happy 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, 2109271 + ... + 2116086.

Almost surely, 214400016656 is an apocalyptic number.

14400016656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14400016656 is an abundant number, since it is smaller than the sum of its proper divisors (23323979568).

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

14400016656 is a wasteful number, since it uses less digits than its factorization.

14400016656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225439 (or 4225433 counting only the distinct ones).

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

The spelling of 14400016656 in words is "fourteen billion, four hundred million, sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 4225357 8450714 12676071 16901428 25352142 33802856 50704284 67605712 101408568 202817136 300000347 600000694 900001041 1200001388 1800002082 2400002776 3600004164 4800005552 7200008328 14400016656