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10414342305 = 325231429829
BaseRepresentation
bin10011011001011111…
…00100000010100001
3222212210102101220200
421230233210002201
5132312032423210
64441223255413
7516035310003
oct115457440241
928783371820
1010414342305
114464696574
1220278aa569
13c9c7b0c33
1470b1bc373
1540e4560c0
hex26cbe40a1

10414342305 has 12 divisors (see below), whose sum is σ = 18051526740. Its totient is φ = 5554315872.

The previous prime is 10414342291. The next prime is 10414342313. The reversal of 10414342305 is 50324341401.

It is a happy number.

10414342305 is a `hidden beast` number, since 1 + 0 + 4 + 14 + 342 + 305 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1510721424 + 8903620881 = 38868^2 + 94359^2 .

It is not a de Polignac number, because 10414342305 - 27 = 10414342177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115714870 + ... + 115714959.

It is an arithmetic number, because the mean of its divisors is an integer number (1504293895).

Almost surely, 210414342305 is an apocalyptic number.

10414342305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10414342305 is a deficient number, since it is larger than the sum of its proper divisors (7637184435).

10414342305 is a wasteful number, since it uses less digits than its factorization.

10414342305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231429840 (or 231429837 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10414342305 its reverse (50324341401), we get a palindrome (60738683706).

The spelling of 10414342305 in words is "ten billion, four hundred fourteen million, three hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 45 231429829 694289487 1157149145 2082868461 3471447435 10414342305