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10024444134 = 232717843853
BaseRepresentation
bin10010101011000000…
…01110000011100110
3221212121202112011200
421111200032003212
5131012224203014
64334414343330
7503262240435
oct112540160346
927777675150
1010024444134
1142845a0281
121b391bab46
13c39a98663
146b14c711c
153da0daa09
hex25580e0e6

10024444134 has 24 divisors (see below), whose sum is σ = 22025542032. Its totient is φ = 3294417840.

The previous prime is 10024444127. The next prime is 10024444189. The reversal of 10024444134 is 43144442001.

10024444134 is a `hidden beast` number, since 1 + 0 + 0 + 244 + 4 + 413 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10024444098 and 10024444107.

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, 3920649 + ... + 3923204.

It is an arithmetic number, because the mean of its divisors is an integer number (917730918).

Almost surely, 210024444134 is an apocalyptic number.

10024444134 is an abundant number, since it is smaller than the sum of its proper divisors (12001097898).

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

10024444134 is a wasteful number, since it uses less digits than its factorization.

10024444134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843932 (or 7843929 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10024444134 its reverse (43144442001), we get a palindrome (53168886135).

The spelling of 10024444134 in words is "ten billion, twenty-four million, four hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 7843853 15687706 23531559 47063118 70594677 141189354 556913563 1113827126 1670740689 3341481378 5012222067 10024444134