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10442424314 = 2717931313313
BaseRepresentation
bin10011011100110101…
…01011111111111010
3222221202021010012002
421232122223333322
5132341230034224
64444105221002
7516526066520
oct115632537772
928852233162
1010442424314
114479526a43
122035191762
13ca5563bca
14710c0c310
15411b519ae
hex26e6abffa

10442424314 has 32 divisors (see below), whose sum is σ = 18060174720. Its totient is φ = 4435771392.

The previous prime is 10442424299. The next prime is 10442424319. The reversal of 10442424314 is 41342424401.

It is not an unprimeable number, because it can be changed into a prime (10442424319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777722 + ... + 791034.

It is an arithmetic number, because the mean of its divisors is an integer number (564380460).

Almost surely, 210442424314 is an apocalyptic number.

10442424314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10442424314 is a deficient number, since it is larger than the sum of its proper divisors (7617750406).

10442424314 is a wasteful number, since it uses less digits than its factorization.

10442424314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13814.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 10442424314 its reverse (41342424401), we get a palindrome (51784848715).

The spelling of 10442424314 in words is "ten billion, four hundred forty-two million, four hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 7 14 179 313 358 626 1253 2191 2506 4382 13313 26626 56027 93191 112054 186382 392189 784378 2383027 4166969 4766054 8333938 16681189 29168783 33362378 58337566 745887451 1491774902 5221212157 10442424314