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424109474320 = 245719414092377
BaseRepresentation
bin1100010101111101110…
…01010000001000010000
31111112200220210120020011
412022332321100020100
523422034011134240
6522455545524304
742432554023420
oct6127671201020
91445626716204
10424109474320
11153955818294
126a2414a3694
1330cbb51768c
1416754178480
15b0733116ea
hex62bee50210

424109474320 has 320 divisors, whose sum is σ = 1218647001600. Its totient is φ = 134010961920.

The previous prime is 424109474231. The next prime is 424109474323. The reversal of 424109474320 is 23474901424.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (424109474323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178420972 + ... + 178423348.

It is an arithmetic number, because the mean of its divisors is an integer number (3808271880).

Almost surely, 2424109474320 is an apocalyptic number.

424109474320 is a gapful number since it is divisible by the number (40) 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 424109474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609323500800).

424109474320 is an abundant number, since it is smaller than the sum of its proper divisors (794537527280).

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

424109474320 is a wasteful number, since it uses less digits than its factorization.

424109474320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 424109474320 in words is "four hundred twenty-four billion, one hundred nine million, four hundred seventy-four thousand, three hundred twenty".