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10024444040 = 2351337521021
BaseRepresentation
bin10010101011000000…
…01110000010001000
3221212121202112001012
421111200032002020
5131012224202130
64334414343052
7503262240242
oct112540160210
927777675035
1010024444040
1142845a01a6
121b391baa88
13c39a985c0
146b14c7092
153da0da995
hex25580e088

10024444040 has 64 divisors (see below), whose sum is σ = 24946533360. Its totient is φ = 3601290240.

The previous prime is 10024444033. The next prime is 10024444127. The reversal of 10024444040 is 4044442001.

It can be written as a sum of positive squares in 8 ways, for example, as 4417729156 + 5606714884 = 66466^2 + 74878^2 .

It is a super-2 number, since 2×100244440402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024443997 and 10024444015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241271 + ... + 279750.

Almost surely, 210024444040 is an apocalyptic number.

10024444040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024444040 is an abundant number, since it is smaller than the sum of its proper divisors (14922089320).

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

10024444040 is a wasteful number, since it uses less digits than its factorization.

10024444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521082 (or 521078 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 10024444040 its reverse (4044442001), we get a palindrome (14068886041).

The spelling of 10024444040 in words is "ten billion, twenty-four million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 19240 521021 1042042 2084084 2605105 4168168 5210210 6773273 10420420 13546546 19277777 20840840 27093092 33866365 38555554 54186184 67732730 77111108 96388885 135465460 154222216 192777770 250611101 270930920 385555540 501222202 771111080 1002444404 1253055505 2004888808 2506111010 5012222020 10024444040