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14020766307 = 3315111632957
BaseRepresentation
bin11010000111011001…
…11110101001100011
31100012010112201121000
431003230332221203
5212203304010212
610235133403043
71004306355462
oct150354765143
940163481530
1014020766307
115a453a2279
122873639483
131425a00032
149701609d9
15570d861dc
hex343b3ea63

14020766307 has 32 divisors (see below), whose sum is σ = 20934120960. Its totient is φ = 9274154400.

The previous prime is 14020766281. The next prime is 14020766317. The reversal of 14020766307 is 70366702041.

14020766307 is a `hidden beast` number, since 14 + 0 + 2 + 0 + 7 + 6 + 630 + 7 = 666.

It is not a de Polignac number, because 14020766307 - 227 = 13886548579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14020766317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4740073 + ... + 4743029.

It is an arithmetic number, because the mean of its divisors is an integer number (654191280).

Almost surely, 214020766307 is an apocalyptic number.

14020766307 is a deficient number, since it is larger than the sum of its proper divisors (6913354653).

14020766307 is a wasteful number, since it uses less digits than its factorization.

14020766307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 14020766307 in words is "fourteen billion, twenty million, seven hundred sixty-six thousand, three hundred seven".

Divisors: 1 3 9 27 151 453 1163 1359 2957 3489 4077 8871 10467 26613 31401 79839 175613 446507 526839 1339521 1580517 3438991 4018563 4741551 10316973 12055689 30950919 92852757 519287641 1557862923 4673588769 14020766307