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10441493244 = 2236713192109
BaseRepresentation
bin10011011100101110…
…01000101011111100
3222221200111211000000
421232113020223330
5132341010240434
64444033234300
7516515141160
oct115627105374
928850454000
1010441493244
114478a50466
122034a02990
13ca52c9190
14710a48ca0
15411a1ab99
hex26e5c8afc

10441493244 has 504 divisors, whose sum is σ = 35913181920. Its totient is φ = 2584929024.

The previous prime is 10441493233. The next prime is 10441493267. The reversal of 10441493244 is 44239414401.

It is a happy number.

10441493244 is a `hidden beast` number, since 104 + 41 + 493 + 24 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10441493199 and 10441493208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 95793462 + ... + 95793570.

Almost surely, 210441493244 is an apocalyptic number.

10441493244 is a gapful number since it is divisible by the number (14) 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 10441493244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956590960).

10441493244 is an abundant number, since it is smaller than the sum of its proper divisors (25471688676).

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

10441493244 is a wasteful number, since it uses less digits than its factorization.

10441493244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10441493244 in words is "ten billion, four hundred forty-one million, four hundred ninety-three thousand, two hundred forty-four".