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44156865144 = 2337360772869
BaseRepresentation
bin101001000111111101…
…000100101001111000
311012222100221011110210
4221013331010221320
51210413124141034
632141350511120
73122151106110
oct510775045170
9135870834423
1044156865144
11177aa443387
1286840654a0
134219337892
1421cc6b6040
1512368e58e9
hexa47f44a78

44156865144 has 64 divisors (see below), whose sum is σ = 126199180800. Its totient is φ = 12612576384.

The previous prime is 44156865133. The next prime is 44156865149.

44156865144 is nontrivially palindromic in base 10.

44156865144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44156865093 and 44156865102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44156865149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569542 + ... + 642410.

It is an arithmetic number, because the mean of its divisors is an integer number (1971862200).

Almost surely, 244156865144 is an apocalyptic number.

It is an amenable number.

44156865144 is an abundant number, since it is smaller than the sum of its proper divisors (82042315656).

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

44156865144 is a wasteful number, since it uses less digits than its factorization.

44156865144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76492 (or 76488 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 44156865144 in words is "forty-four billion, one hundred fifty-six million, eight hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3607 7214 10821 14428 21642 25249 28856 43284 50498 72869 75747 86568 100996 145738 151494 201992 218607 291476 302988 437214 510083 582952 605976 874428 1020166 1530249 1748856 2040332 3060498 4080664 6120996 12241992 262838483 525676966 788515449 1051353932 1577030898 1839869381 2102707864 3154061796 3679738762 5519608143 6308123592 7359477524 11039216286 14718955048 22078432572 44156865144