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10024431444 = 2232278456429
BaseRepresentation
bin10010101011000000…
…01010111101010100
3221212121201212202200
421111200022331110
5131012223301234
64334414204500
7503262155436
oct112540127524
927777655680
1010024431444
114284591795
121b391b3730
13c39a92951
146b14c2656
153da0d6d99
hex25580af54

10024431444 has 18 divisors (see below), whose sum is σ = 25339535130. Its totient is φ = 3341477136.

The previous prime is 10024431433. The next prime is 10024431491. The reversal of 10024431444 is 44413442001.

10024431444 is a `hidden beast` number, since 100 + 244 + 314 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6000051600 + 4024379844 = 77460^2 + 63438^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139228179 + ... + 139228250.

Almost surely, 210024431444 is an apocalyptic number.

It is an amenable number.

10024431444 is an abundant number, since it is smaller than the sum of its proper divisors (15315103686).

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

10024431444 is a wasteful number, since it uses less digits than its factorization.

10024431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278456439 (or 278456434 counting only the distinct ones).

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

Adding to 10024431444 its reverse (44413442001), we get a palindrome (54437873445).

The spelling of 10024431444 in words is "ten billion, twenty-four million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 278456429 556912858 835369287 1113825716 1670738574 2506107861 3341477148 5012215722 10024431444