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44768000440 = 2357315331507
BaseRepresentation
bin101001101100011000…
…010111100110111000
311021112221220001111101
4221230120113212320
51213141102003230
632322141341144
73143251503502
oct515430274670
9137487801441
1044768000440
1117a93407379
1288148677b4
1342b5b319b7
14224991ad72
1512703b2aca
hexa6c6179b8

44768000440 has 32 divisors (see below), whose sum is σ = 102107843280. Its totient is φ = 17661894912.

The previous prime is 44768000399. The next prime is 44768000441. The reversal of 44768000440 is 4400086744.

44768000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44768000440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44768000441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7662834 + ... + 7668673.

Almost surely, 244768000440 is an apocalyptic number.

44768000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44768000440 is an abundant number, since it is smaller than the sum of its proper divisors (57339842840).

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

44768000440 is a wasteful number, since it uses less digits than its factorization.

44768000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15331591 (or 15331587 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 44768000440 in words is "forty-four billion, seven hundred sixty-eight million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 15331507 30663014 61326028 76657535 122652056 153315070 306630140 613260280 1119200011 2238400022 4476800044 5596000055 8953600088 11192000110 22384000220 44768000440