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44332342128 = 24322313385369
BaseRepresentation
bin101001010010011010…
…011101101101110000
311020102121010022122100
4221102122131231300
51211243034422003
632211015540400
73126411455604
oct512232355560
9136377108570
1044332342128
111788a4a6888
12871298a700
1342467b6b09
142207b13504
151247008ba3
hexa5269db70

44332342128 has 60 divisors (see below), whose sum is σ = 129463298640. Its totient is φ = 14134948608.

The previous prime is 44332342123. The next prime is 44332342193. The reversal of 44332342128 is 82124323344.

44332342128 is a `hidden beast` number, since 4 + 433 + 2 + 3 + 4 + 212 + 8 = 666.

44332342128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44332342092 and 44332342101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44332342123) 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, 6689373 + ... + 6695996.

It is an arithmetic number, because the mean of its divisors is an integer number (2157721644).

Almost surely, 244332342128 is an apocalyptic number.

44332342128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44332342128 is an abundant number, since it is smaller than the sum of its proper divisors (85130956512).

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

44332342128 is a wasteful number, since it uses less digits than its factorization.

44332342128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13385406 (or 13385397 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 44332342128 in words is "forty-four billion, three hundred thirty-two million, three hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 13385369 26770738 40156107 53541476 80312214 107082952 120468321 160624428 214165904 240936642 307863487 321248856 481873284 615726974 642497712 923590461 963746568 1231453948 1847180922 1927493136 2462907896 2770771383 3694361844 4925815792 5541542766 7388723688 11083085532 14777447376 22166171064 44332342128