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10414204332 = 2237941313171
BaseRepresentation
bin10011011001011110…
…00010010110101100
3222212210011101122120
421230233002112230
5132312014014312
64441220312540
7516034163520
oct115457022654
928783141576
1010414204332
114464601944
122027842750
13c9c7631ac
1470b183d80
1540e42a28c
hex26cbc25ac

10414204332 has 48 divisors (see below), whose sum is σ = 27776270592. Its totient is φ = 2974944960.

The previous prime is 10414204291. The next prime is 10414204363. The reversal of 10414204332 is 23340241401.

10414204332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784107 + ... + 797277.

It is an arithmetic number, because the mean of its divisors is an integer number (578672304).

Almost surely, 210414204332 is an apocalyptic number.

10414204332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10414204332 is an abundant number, since it is smaller than the sum of its proper divisors (17362066260).

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

10414204332 is a wasteful number, since it uses less digits than its factorization.

10414204332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22598 (or 22596 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10414204332 its reverse (23340241401), we get a palindrome (33754445733).

The spelling of 10414204332 in words is "ten billion, four hundred fourteen million, two hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 9413 13171 18826 26342 28239 37652 39513 52684 56478 65891 79026 92197 112956 131782 158052 184394 197673 263564 276591 368788 395346 553182 790692 1106364 123978623 247957246 371935869 495914492 743871738 867850361 1487743476 1735700722 2603551083 3471401444 5207102166 10414204332