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44112027960 = 2332571113167733
BaseRepresentation
bin101001000101010010…
…000010000100111000
311012212020120012102100
4221011102002010320
51210320134343320
632133105503400
73121065023340
oct510522020470
9135766505370
1044112027960
11177870a9560
128671041b60
13420cc693c0
1421c6763d20
1512329da790
hexa45482138

44112027960 has 768 divisors, whose sum is σ = 193905653760. Its totient is φ = 8398909440.

The previous prime is 44112027943. The next prime is 44112027983. The reversal of 44112027960 is 6972021144.

It is a happy number.

44112027960 is a `hidden beast` number, since 441 + 1 + 202 + 7 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60179754 + ... + 60180486.

It is an arithmetic number, because the mean of its divisors is an integer number (252481320).

Almost surely, 244112027960 is an apocalyptic number.

44112027960 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 44112027960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96952826880).

44112027960 is an abundant number, since it is smaller than the sum of its proper divisors (149793625800).

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

44112027960 is a wasteful number, since it uses less digits than its factorization.

44112027960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 44112027960 in words is "forty-four billion, one hundred twelve million, twenty-seven thousand, nine hundred sixty".