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402144411257 is a prime number
BaseRepresentation
bin1011101101000011010…
…11001011111001111001
31102110000010122202012222
411312201223023321321
523042042432130012
6504424222213425
741024341044611
oct5664153137171
91373003582188
10402144411257
11145604044306
1265b31424275
132bbca9a8844
141566cccda41
15a6d9cd4972
hex5da1acbe79

402144411257 has 2 divisors, whose sum is σ = 402144411258. Its totient is φ = 402144411256.

The previous prime is 402144411139. The next prime is 402144411269. The reversal of 402144411257 is 752114441204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278028416656 + 124115994601 = 527284^2 + 352301^2 .

It is a cyclic number.

It is not a de Polignac number, because 402144411257 - 220 = 402143362681 is a prime.

It is not a weakly prime, because it can be changed into another prime (402144416257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201072205628 + 201072205629.

It is an arithmetic number, because the mean of its divisors is an integer number (201072205629).

Almost surely, 2402144411257 is an apocalyptic number.

It is an amenable number.

402144411257 is a deficient number, since it is larger than the sum of its proper divisors (1).

402144411257 is an equidigital number, since it uses as much as digits as its factorization.

402144411257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 35.

The spelling of 402144411257 in words is "four hundred two billion, one hundred forty-four million, four hundred eleven thousand, two hundred fifty-seven".