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404252011454201 is a prime number
BaseRepresentation
bin101101111101010100100000…
…1100010101101111011111001
31222000100010002201222010121222
41123322221001202231323321
5410441231104413013301
63551434451005041425
7151102146460644251
oct13372510142557371
91860303081863558
10404252011454201
11107897351701859
123940a8b8856275
1314474a55060151
1471b7c8a596961
1531b07c87c931b
hex16faa418adef9

404252011454201 has 2 divisors, whose sum is σ = 404252011454202. Its totient is φ = 404252011454200.

The previous prime is 404252011454149. The next prime is 404252011454209. The reversal of 404252011454201 is 102454110252404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331126441734400 + 73125569719801 = 18196880^2 + 8551349^2 .

It is a cyclic number.

It is not a de Polignac number, because 404252011454201 - 222 = 404252007259897 is a prime.

It is not a weakly prime, because it can be changed into another prime (404252011454209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202126005727100 + 202126005727101.

It is an arithmetic number, because the mean of its divisors is an integer number (202126005727101).

Almost surely, 2404252011454201 is an apocalyptic number.

It is an amenable number.

404252011454201 is a deficient number, since it is larger than the sum of its proper divisors (1).

404252011454201 is an equidigital number, since it uses as much as digits as its factorization.

404252011454201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51200, while the sum is 35.

The spelling of 404252011454201 in words is "four hundred four trillion, two hundred fifty-two billion, eleven million, four hundred fifty-four thousand, two hundred one".