Search a number
-
+
401256377237 is a prime number
BaseRepresentation
bin1011101011011001011…
…11100110101110010101
31102100201020122221120002
411311230233212232111
523033233113032422
6504200140421045
740663335634262
oct5655457465625
91370636587502
10401256377237
111451988451a1
1265923b47785
132bab8a11821
14155c6daa269
15a686d6d692
hex5d6cbe6b95

401256377237 has 2 divisors, whose sum is σ = 401256377238. Its totient is φ = 401256377236.

The previous prime is 401256377147. The next prime is 401256377267. The reversal of 401256377237 is 732773652104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212213163556 + 189043213681 = 460666^2 + 434791^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401256377237 is a prime.

It is a super-2 number, since 2×4012563772372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401256377191 and 401256377200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401256377267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200628188618 + 200628188619.

It is an arithmetic number, because the mean of its divisors is an integer number (200628188619).

Almost surely, 2401256377237 is an apocalyptic number.

It is an amenable number.

401256377237 is a deficient number, since it is larger than the sum of its proper divisors (1).

401256377237 is an equidigital number, since it uses as much as digits as its factorization.

401256377237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1481760, while the sum is 47.

The spelling of 401256377237 in words is "four hundred one billion, two hundred fifty-six million, three hundred seventy-seven thousand, two hundred thirty-seven".