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10024314444 = 2232517153849
BaseRepresentation
bin10010101010111111…
…01110011001001100
3221212121111221021100
421111133232121030
5131012211030234
64334411503100
7503261160354
oct112537563114
927777457240
1010024314444
1142845118a1
121b39157a90
13c39a51611
146b1491b64
153da0b2399
hex2557ee64c

10024314444 has 36 divisors (see below), whose sum is σ = 25344610200. Its totient is φ = 3340729920.

The previous prime is 10024314439. The next prime is 10024314451. The reversal of 10024314444 is 44441342001.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 159232 + ... + 213080.

It is an arithmetic number, because the mean of its divisors is an integer number (704016950).

Almost surely, 210024314444 is an apocalyptic number.

It is an amenable number.

10024314444 is an abundant number, since it is smaller than the sum of its proper divisors (15320295756).

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

10024314444 is a wasteful number, since it uses less digits than its factorization.

10024314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59030 (or 59025 counting only the distinct ones).

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

Adding to 10024314444 its reverse (44441342001), we get a palindrome (54465656445).

The spelling of 10024314444 in words is "ten billion, twenty-four million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5171 10342 15513 20684 31026 46539 53849 62052 93078 107698 161547 186156 215396 323094 484641 646188 969282 1938564 278453179 556906358 835359537 1113812716 1670719074 2506078611 3341438148 5012157222 10024314444