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44942141376 = 263211331261
BaseRepresentation
bin101001110110110000…
…101010011111000000
311022000002120022221200
4221312300222133000
51214020142011001
632351322021200
73150464620146
oct516660523700
9138002508850
1044942141376
1118072738000
128863047800
134312c33a82
142264acb596
151280810086
hexa76c2a7c0

44942141376 has 504 divisors, whose sum is σ = 148808962224. Its totient is φ = 12963456000.

The previous prime is 44942141369. The next prime is 44942141399. The reversal of 44942141376 is 67314124944.

44942141376 is a `hidden beast` number, since 4 + 494 + 21 + 4 + 137 + 6 = 666.

Its product of digits (580608) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 736756386 + ... + 736756446.

Almost surely, 244942141376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44942141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74404481112).

44942141376 is an abundant number, since it is smaller than the sum of its proper divisors (103866820848).

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

44942141376 is a wasteful number, since it uses less digits than its factorization.

44942141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 108 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 44942141376 in words is "forty-four billion, nine hundred forty-two million, one hundred forty-one thousand, three hundred seventy-six".