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361440146401 is a prime number
BaseRepresentation
bin1010100001001111000…
…00101111001111100001
31021112221101101211221221
411100213200233033201
521410212134141101
6434013204415041
735053552360525
oct5204740571741
91245841354857
10361440146401
1112a3165a36a4
125a0716a7481
1328111a52919
14136cad97d85
159606586aa1
hex542782f3e1

361440146401 has 2 divisors, whose sum is σ = 361440146402. Its totient is φ = 361440146400.

The previous prime is 361440146399. The next prime is 361440146447. The reversal of 361440146401 is 104641044163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300320440225 + 61119706176 = 548015^2 + 247224^2 .

It is a cyclic number.

It is not a de Polignac number, because 361440146401 - 21 = 361440146399 is a prime.

Together with 361440146399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (361440146101) 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 as a sum of consecutive naturals, namely, 180720073200 + 180720073201.

It is an arithmetic number, because the mean of its divisors is an integer number (180720073201).

Almost surely, 2361440146401 is an apocalyptic number.

It is an amenable number.

361440146401 is a deficient number, since it is larger than the sum of its proper divisors (1).

361440146401 is an equidigital number, since it uses as much as digits as its factorization.

361440146401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 361440146401 in words is "three hundred sixty-one billion, four hundred forty million, one hundred forty-six thousand, four hundred one".