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1157144379841 is a prime number
BaseRepresentation
bin10000110101101011001…
…011100000000111000001
311002121210101022001001101
4100311223023200013001
5122424312430123331
62243330151534401
7146413054641022
oct20655313400701
94077711261041
101157144379841
1140681892139a
1216831938a401
138516ca32998
14400129b8c49
152017767e061
hex10d6b2e01c1

1157144379841 has 2 divisors, whose sum is σ = 1157144379842. Its totient is φ = 1157144379840.

The previous prime is 1157144379793. The next prime is 1157144379893. The reversal of 1157144379841 is 1489734417511.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1052103569841 + 105040810000 = 1025721^2 + 324100^2 .

It is a cyclic number.

It is not a de Polignac number, because 1157144379841 - 211 = 1157144377793 is a prime.

It is a super-2 number, since 2×11571443798412 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1157144379241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 578572189920 + 578572189921.

It is an arithmetic number, because the mean of its divisors is an integer number (578572189921).

Almost surely, 21157144379841 is an apocalyptic number.

It is an amenable number.

1157144379841 is a deficient number, since it is larger than the sum of its proper divisors (1).

1157144379841 is an equidigital number, since it uses as much as digits as its factorization.

1157144379841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3386880, while the sum is 55.

The spelling of 1157144379841 in words is "one trillion, one hundred fifty-seven billion, one hundred forty-four million, three hundred seventy-nine thousand, eight hundred forty-one".