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257144130147299 = 23914291278158909
BaseRepresentation
bin111010011101111100001000…
…100010001001001111100011
31020201110201221120001101211012
4322131330020202021033203
5232201022134304203144
62310522214345411135
7105110023155245213
oct7235741042111743
91221421846041735
10257144130147299
1174a3023880969a
1224a10308a99aab
13b06378375b6b5
14476dbb1404243
151eadd97a01e9e
hexe9df088893e3

257144130147299 has 16 divisors (see below), whose sum is σ = 258425351184000. Its totient is φ = 255864654783360.

The previous prime is 257144130147199. The next prime is 257144130147341. The reversal of 257144130147299 is 992741031441752.

257144130147299 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 257144130147299 - 216 = 257144130081763 is a prime.

It is a super-2 number, since 2×2571441301472992 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257144130147199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4365078257 + ... + 4365137165.

It is an arithmetic number, because the mean of its divisors is an integer number (16151584449000).

Almost surely, 2257144130147299 is an apocalyptic number.

257144130147299 is a deficient number, since it is larger than the sum of its proper divisors (1281221036701).

257144130147299 is a wasteful number, since it uses less digits than its factorization.

257144130147299 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73358.

The product of its (nonzero) digits is 15240960, while the sum is 59.

The spelling of 257144130147299 in words is "two hundred fifty-seven trillion, one hundred forty-four billion, one hundred thirty million, one hundred forty-seven thousand, two hundred ninety-nine".

Divisors: 1 239 1429 12781 58909 341531 3054659 14079251 18264049 84180961 752915929 4365107711 20119249679 179946907031 1075916862541 257144130147299