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114157826257 is a prime number
BaseRepresentation
bin110101001010001010…
…1100011000011010001
3101220122212002102202011
41222110111203003101
53332243400420012
6124235434222521
711150636340616
oct1522425430321
9356585072664
10114157826257
1144461131562
121a15b284a41
13a9c3a2a827
14574d49c50d
152e821461a7
hex1a945630d1

114157826257 has 2 divisors, whose sum is σ = 114157826258. Its totient is φ = 114157826256.

The previous prime is 114157826203. The next prime is 114157826291. The reversal of 114157826257 is 752628751411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76706287681 + 37451538576 = 276959^2 + 193524^2 .

It is an emirp because it is prime and its reverse (752628751411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114157826257 - 215 = 114157793489 is a prime.

It is the 337873-rd Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 114157826257.

It is not a weakly prime, because it can be changed into another prime (114157826297) by changing a digit.

It is a nontrivial repunit in base 337872.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57078913128 + 57078913129.

It is an arithmetic number, because the mean of its divisors is an integer number (57078913129).

Almost surely, 2114157826257 is an apocalyptic number.

It is an amenable number.

114157826257 is a deficient number, since it is larger than the sum of its proper divisors (1).

114157826257 is an equidigital number, since it uses as much as digits as its factorization.

114157826257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 940800, while the sum is 49.

The spelling of 114157826257 in words is "one hundred fourteen billion, one hundred fifty-seven million, eight hundred twenty-six thousand, two hundred fifty-seven".