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34440525534352 = 247243929241753
BaseRepresentation
bin1111101010010110011110…
…10010100101010010010000
311111221111000102220021111211
413311023033102211102100
514003233144014044402
6201125431540145504
710153150220560300
oct765131722452220
9144844012807454
1034440525534352
11aa7916588a873
123a4297a398294
13162a95c780b32
14870d04b7b600
153ead253734d7
hex1f52cf4a5490

34440525534352 has 30 divisors (see below), whose sum is σ = 77622970179318. Its totient is φ = 14760225228672.

The previous prime is 34440525534227. The next prime is 34440525534377. The reversal of 34440525534352 is 25343552504443.

It can be written as a sum of positive squares in only one way, i.e., 32007125210256 + 2433400324096 = 5657484^2 + 1559936^2 .

It is a super-2 number, since 2×344405255343522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 34440525534296 and 34440525534305.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21964620093 + ... + 21964621660.

Almost surely, 234440525534352 is an apocalyptic number.

It is an amenable number.

34440525534352 is an abundant number, since it is smaller than the sum of its proper divisors (43182444644966).

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

34440525534352 is a wasteful number, since it uses less digits than its factorization.

34440525534352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43929241775 (or 43929241762 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 49.

The spelling of 34440525534352 in words is "thirty-four trillion, four hundred forty billion, five hundred twenty-five million, five hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 43929241753 87858483506 175716967012 307504692271 351433934024 615009384542 702867868048 1230018769084 2152532845897 2460037538168 4305065691794 4920075076336 8610131383588 17220262767176 34440525534352