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44113631144 = 231134142903
BaseRepresentation
bin101001000101011000…
…001001011110101000
311012212100120122120112
4221011120021132220
51210321042144034
632133204113452
73121114451342
oct510530113650
9135770518515
1044113631144
1117787aa4000
128671695888
1342103ab02b
1421c6a60292
151232c057ce
hexa456097a8

44113631144 has 32 divisors (see below), whose sum is σ = 90978171840. Its totient is φ = 20051645680.

The previous prime is 44113631131. The next prime is 44113631161.

44113631144 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44113631144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2060804 + ... + 2082099.

It is an arithmetic number, because the mean of its divisors is an integer number (2843067870).

Almost surely, 244113631144 is an apocalyptic number.

44113631144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44113631144 is an abundant number, since it is smaller than the sum of its proper divisors (46864540696).

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

44113631144 is a wasteful number, since it uses less digits than its factorization.

44113631144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142942 (or 4142916 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 44113631144 in words is "forty-four billion, one hundred thirteen million, six hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 5324 10648 4142903 8285806 16571612 33143224 45571933 91143866 182287732 364575464 501291263 1002582526 2005165052 4010330104 5514203893 11028407786 22056815572 44113631144