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14775023340 = 223257111773859
BaseRepresentation
bin11011100001010100…
…01111011011101100
31102010200210221201200
431300222033123230
5220224401221330
610442040005500
71032065424540
oct156052173354
942120727650
1014775023340
1162a212a7a0
122a44160890
13151605837c
14a023bda20
155b71c4a60
hex370a8f6ec

14775023340 has 576 divisors, whose sum is σ = 60043576320. Its totient is φ = 2846638080.

The previous prime is 14775023321. The next prime is 14775023377. The reversal of 14775023340 is 4332057741.

14775023340 is a `hidden beast` number, since 14 + 77 + 502 + 33 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14775023295 and 14775023304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17199831 + ... + 17200689.

It is an arithmetic number, because the mean of its divisors is an integer number (104242320).

Almost surely, 214775023340 is an apocalyptic number.

14775023340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14775023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30021788160).

14775023340 is an abundant number, since it is smaller than the sum of its proper divisors (45268552980).

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

14775023340 is a wasteful number, since it uses less digits than its factorization.

14775023340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 14775023340 in words is "fourteen billion, seven hundred seventy-five million, twenty-three thousand, three hundred forty".