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44228812320 = 25345711234147
BaseRepresentation
bin101001001100001111…
…100001111000100000
311020011101022110110000
4221030033201320200
51211040033443240
632152440540000
73124013462460
oct511417417040
9136141273400
1044228812320
1117837014360
1286a4181600
13422b208784
1421d8083ba0
15123cda8430
hexa4c3e1e20

44228812320 has 1920 divisors, whose sum is σ = 212446789632. Its totient is φ = 8393932800.

The previous prime is 44228812319. The next prime is 44228812379. The reversal of 44228812320 is 2321882244.

44228812320 is a `hidden beast` number, since 4 + 42 + 288 + 12 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 941038537 + ... + 941038583.

Almost surely, 244228812320 is an apocalyptic number.

44228812320 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 44228812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106223394816).

44228812320 is an abundant number, since it is smaller than the sum of its proper divisors (168217977312).

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

44228812320 is a wasteful number, since it uses less digits than its factorization.

44228812320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 44228812320 in words is "forty-four billion, two hundred twenty-eight million, eight hundred twelve thousand, three hundred twenty".