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44430942192 = 24371353281683
BaseRepresentation
bin101001011000010010…
…100101111111110000
311020200110122201111120
4221120102211333300
51211443310122232
632224501142240
73132016530420
oct513022457760
9136613581446
1044430942192
111793012153a
12873b9ba980
13426105a350
142216c5c480
1512509d392c
hexa584a5ff0

44430942192 has 320 divisors, whose sum is σ = 144656741376. Its totient is φ = 11439267840.

The previous prime is 44430942191. The next prime is 44430942251. The reversal of 44430942192 is 29124903444.

44430942192 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44430942191) 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, 65052283 + ... + 65052965.

Almost surely, 244430942192 is an apocalyptic number.

44430942192 is a gapful number since it is divisible by the number (42) 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 44430942192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72328370688).

44430942192 is an abundant number, since it is smaller than the sum of its proper divisors (100225799184).

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

44430942192 is a wasteful number, since it uses less digits than its factorization.

44430942192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 44430942192 in words is "forty-four billion, four hundred thirty million, nine hundred forty-two thousand, one hundred ninety-two".