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257144130147199 is a prime number
BaseRepresentation
bin111010011101111100001000…
…100010001001001101111111
31020201110201221120001101200111
4322131330020202021031333
5232201022134304202244
62310522214345410451
7105110023155245011
oct7235741042111577
91221421846041614
10257144130147199
1174a30238809609
1224a10308a99a27
13b06378375b639
14476dbb14041b1
151eadd97a01e34
hexe9df0888937f

257144130147199 has 2 divisors, whose sum is σ = 257144130147200. Its totient is φ = 257144130147198.

The previous prime is 257144130147187. The next prime is 257144130147341. The reversal of 257144130147199 is 991741031441752.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257144130147199 is a prime.

It is a super-2 number, since 2×2571441301471992 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257144130147109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128572065073599 + 128572065073600.

It is an arithmetic number, because the mean of its divisors is an integer number (128572065073600).

Almost surely, 2257144130147199 is an apocalyptic number.

257144130147199 is a deficient number, since it is larger than the sum of its proper divisors (1).

257144130147199 is an equidigital number, since it uses as much as digits as its factorization.

257144130147199 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 257144130147199 in words is "two hundred fifty-seven trillion, one hundred forty-four billion, one hundred thirty million, one hundred forty-seven thousand, one hundred ninety-nine".