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401314361 = 7273151743
BaseRepresentation
bin10111111010111…
…001001000111001
31000222010212210212
4113322321020321
51310214024421
6103453320505
712642054500
oct2772711071
91028125725
10401314361
11196593468
12b2496135
13651b1926
143b427837
1525372e5b
hex17eb9239

401314361 has 24 divisors (see below), whose sum is σ = 477005184. Its totient is φ = 336571200.

The previous prime is 401314339. The next prime is 401314363. The reversal of 401314361 is 163413104.

It is not a de Polignac number, because 401314361 - 26 = 401314297 is a prime.

It is a super-2 number, since 2×4013143612 = 322106432689676642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401314363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539756 + ... + 540498.

It is an arithmetic number, because the mean of its divisors is an integer number (19875216).

Almost surely, 2401314361 is an apocalyptic number.

It is an amenable number.

401314361 is a deficient number, since it is larger than the sum of its proper divisors (75690823).

401314361 is a wasteful number, since it uses less digits than its factorization.

401314361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 401314361 is about 20032.8320763690. The cubic root of 401314361 is about 737.6124419576.

Adding to 401314361 its reverse (163413104), we get a palindrome (564727465).

The spelling of 401314361 in words is "four hundred one million, three hundred fourteen thousand, three hundred sixty-one".

Divisors: 1 7 49 73 151 511 743 1057 3577 5201 7399 11023 36407 54239 77161 112193 379673 540127 785351 2657711 5497457 8190089 57330623 401314361