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14408342064 = 2432131763801
BaseRepresentation
bin11010110101100110…
…11101101000110000
31101012010211121120200
431122303131220300
5214002013421224
610341420435200
71020023613114
oct153263355060
941163747520
1014408342064
116124151716
1229613a8b00
1314880b14bc
149a980d744
15594de35c9
hex35acdda30

14408342064 has 60 divisors (see below), whose sum is σ = 40631211192. Its totient is φ = 4766112000.

The previous prime is 14408342063. The next prime is 14408342093. The reversal of 14408342064 is 46024380441.

14408342064 is a `hidden beast` number, since 1 + 440 + 8 + 3 + 4 + 206 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14408342063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363037 + ... + 400764.

Almost surely, 214408342064 is an apocalyptic number.

It is an amenable number.

14408342064 is an abundant number, since it is smaller than the sum of its proper divisors (26222869128).

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

14408342064 is a wasteful number, since it uses less digits than its factorization.

14408342064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763946 (or 763937 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 14408342064 in words is "fourteen billion, four hundred eight million, three hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 9432 18864 763801 1527602 2291403 3055204 4582806 6110408 6874209 9165612 12220816 13748418 18331224 27496836 36662448 54993672 100057931 109987344 200115862 300173793 400231724 600347586 800463448 900521379 1200695172 1600926896 1801042758 2401390344 3602085516 4802780688 7204171032 14408342064