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401134464377 is a prime number
BaseRepresentation
bin1011101011001010111…
…10100010110101111001
31102100101202021010112222
411311211132202311321
523033010410330002
6504140103413425
740660325455223
oct5654536426571
91370352233488
10401134464377
11145135a47269
12658ab154275
132ba9969803a
14155b4b13413
15a67b2db1a2
hex5d657a2d79

401134464377 has 2 divisors, whose sum is σ = 401134464378. Its totient is φ = 401134464376.

The previous prime is 401134464331. The next prime is 401134464403. The reversal of 401134464377 is 773464431104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367473590416 + 33660873961 = 606196^2 + 183469^2 .

It is a cyclic number.

It is not a de Polignac number, because 401134464377 - 28 = 401134464121 is a prime.

It is a super-2 number, since 2×4011344643772 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401134464077) 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, 200567232188 + 200567232189.

It is an arithmetic number, because the mean of its divisors is an integer number (200567232189).

Almost surely, 2401134464377 is an apocalyptic number.

It is an amenable number.

401134464377 is a deficient number, since it is larger than the sum of its proper divisors (1).

401134464377 is an equidigital number, since it uses as much as digits as its factorization.

401134464377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 401134464377 in words is "four hundred one billion, one hundred thirty-four million, four hundred sixty-four thousand, three hundred seventy-seven".