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44468963400 = 23352611398741
BaseRepresentation
bin101001011010100011…
…101000100001001000
311020210010012101210110
4221122203220201020
51212033023312100
632232340114320
73132660644421
oct513243504110
9136703171713
1044468963400
111794a630424
1287506959a0
134268bb02c4
14221bd18648
151253ee4250
hexa5a8e8848

44468963400 has 192 divisors, whose sum is σ = 141137841600. Its totient is φ = 11578752000.

The previous prime is 44468963389. The next prime is 44468963401. The reversal of 44468963400 is 436986444.

It is a self number, because there is not a number n which added to its sum of digits gives 44468963400.

It is not an unprimeable number, because it can be changed into a prime (44468963401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5083030 + ... + 5091770.

It is an arithmetic number, because the mean of its divisors is an integer number (735092925).

Almost surely, 244468963400 is an apocalyptic number.

44468963400 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 44468963400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70568920800).

44468963400 is an abundant number, since it is smaller than the sum of its proper divisors (96668878200).

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

44468963400 is a wasteful number, since it uses less digits than its factorization.

44468963400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 44468963400 in words is "forty-four billion, four hundred sixty-eight million, nine hundred sixty-three thousand, four hundred".