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10441114344 = 2332145015477
BaseRepresentation
bin10011011100101011…
…01100001011101000
3222221122210120020200
421232111230023220
5132340411124334
64444021152200
7516512002413
oct115625541350
928848716220
1010441114344
114478811821
12203485b660
13ca51c588b
1471098ab7a
15411993799
hex26e56c2e8

10441114344 has 24 divisors (see below), whose sum is σ = 28278018210. Its totient is φ = 3480371424.

The previous prime is 10441114319. The next prime is 10441114361. The reversal of 10441114344 is 44341114401.

10441114344 is a `hidden beast` number, since 104 + 411 + 143 + 4 + 4 = 666.

10441114344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10437074244 + 4040100 = 102162^2 + 2010^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 72507667 + ... + 72507810.

Almost surely, 210441114344 is an apocalyptic number.

It is an amenable number.

10441114344 is an abundant number, since it is smaller than the sum of its proper divisors (17836903866).

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

10441114344 is a wasteful number, since it uses less digits than its factorization.

10441114344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145015489 (or 145015482 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10441114344 its reverse (44341114401), we get a palindrome (54782228745).

The spelling of 10441114344 in words is "ten billion, four hundred forty-one million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 145015477 290030954 435046431 580061908 870092862 1160123816 1305139293 1740185724 2610278586 3480371448 5220557172 10441114344