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340261117137 = 3237806790793
BaseRepresentation
bin1001111001110010010…
…01001001110011010001
31012112021101022200121200
410330321021021303101
521033323321222022
6420151440341413
733403662526524
oct4747111116321
91175241280550
10340261117137
11121338591527
1255b40914869
1326118016a46
141267c280bbb
158cb7073bac
hex4f39249cd1

340261117137 has 6 divisors (see below), whose sum is σ = 491488280322. Its totient is φ = 226840744752.

The previous prime is 340261117111. The next prime is 340261117151. The reversal of 340261117137 is 731711162043.

It is a happy number.

340261117137 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 611 + 1 + 7 + 1 + 37 = 666.

It can be written as a sum of positive squares in only one way, i.e., 326451106881 + 13810010256 = 571359^2 + 117516^2 .

It is not a de Polignac number, because 340261117137 - 210 = 340261116113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (340261117037) 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 5 ways as a sum of consecutive naturals, for example, 18903395388 + ... + 18903395405.

It is an arithmetic number, because the mean of its divisors is an integer number (81914713387).

Almost surely, 2340261117137 is an apocalyptic number.

It is an amenable number.

340261117137 is a deficient number, since it is larger than the sum of its proper divisors (151227163185).

340261117137 is a wasteful number, since it uses less digits than its factorization.

340261117137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37806790799 (or 37806790796 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 340261117137 in words is "three hundred forty billion, two hundred sixty-one million, one hundred seventeen thousand, one hundred thirty-seven".

Divisors: 1 3 9 37806790793 113420372379 340261117137