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44167416944 = 2472523107717
BaseRepresentation
bin101001001000100101…
…010100110001110000
311020000002210020211012
4221020211110301300
51210423324320234
632142405010052
73122336564300
oct511045246160
9136002706735
1044167416944
11178053a0082
1286876b3928
13421b590651
1421cdc61600
1512377cc0ce
hexa48954c70

44167416944 has 60 divisors (see below), whose sum is σ = 99736957944. Its totient is φ = 18892524672.

The previous prime is 44167416893. The next prime is 44167416973. The reversal of 44167416944 is 44961476144.

It is a junction number, because it is equal to n+sod(n) for n = 44167416892 and 44167416901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356174 + ... + 463890.

Almost surely, 244167416944 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 44167416944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49868478972).

44167416944 is an abundant number, since it is smaller than the sum of its proper divisors (55569541000).

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

44167416944 is a wasteful number, since it uses less digits than its factorization.

44167416944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108262 (or 108249 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The spelling of 44167416944 in words is "forty-four billion, one hundred sixty-seven million, four hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 523 784 1046 2092 3661 4184 7322 8368 14644 25627 29288 51254 58576 102508 107717 205016 215434 410032 430868 754019 861736 1508038 1723472 3016076 5278133 6032152 10556266 12064304 21112532 42225064 56335991 84450128 112671982 225343964 394351937 450687928 788703874 901375856 1577407748 2760463559 3154815496 5520927118 6309630992 11041854236 22083708472 44167416944