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44387478344 = 23112157292069
BaseRepresentation
bin101001010101101100…
…110010101101001000
311020120102212112022102
4221111230302231020
51211401143301334
632220305412532
73130651224566
oct512554625510
9136512775272
1044387478344
1117908635500
12872933a148
13425504ccb1
142211186a36
15124bc9a67e
hexa55b32b48

44387478344 has 48 divisors (see below), whose sum is σ = 92063384700. Its totient is φ = 20047547520.

The previous prime is 44387478337. The next prime is 44387478361.

44387478344 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 44336355844 + 51122500 = 210562^2 + 7150^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44387478344.

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 11 ways as a sum of consecutive naturals, for example, 5942 + ... + 298010.

Almost surely, 244387478344 is an apocalyptic number.

44387478344 is a gapful number since it is divisible by the number (44) 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 44387478344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46031692350).

44387478344 is an abundant number, since it is smaller than the sum of its proper divisors (47675906356).

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

44387478344 is a wasteful number, since it uses less digits than its factorization.

44387478344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292254 (or 292239 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 56.

The spelling of 44387478344 in words is "forty-four billion, three hundred eighty-seven million, four hundred seventy-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 157 242 314 484 628 968 1256 1727 3454 6908 13816 18997 37994 75988 151976 292069 584138 1168276 2336552 3212759 6425518 12851036 25702072 35340349 45854833 70680698 91709666 141361396 183419332 282722792 366838664 504403163 1008806326 2017612652 4035225304 5548434793 11096869586 22193739172 44387478344