Search a number
-
+
400420440404017 = 11972410315569717
BaseRepresentation
bin101101100001011100010011…
…0000111000111000000110001
31221111202211010222001121010021
41123002320212013013000301
5404440442030220412032
63535342335540003441
7150225264536252065
oct13302704607070061
91844684128047107
10400420440404017
1110664a39a73a080
1238ab01b7390581
13142576408809c7
1470c464a3b3aa5
153145cc4288097
hex16c2e261c7031

400420440404017 has 16 divisors (see below), whose sum is σ = 441343959622272. Its totient is φ = 360250843230720.

The previous prime is 400420440403967. The next prime is 400420440404113. The reversal of 400420440404017 is 710404044024004.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400420440404017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400420440404317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17933043 + ... + 33502759.

It is an arithmetic number, because the mean of its divisors is an integer number (27583997476392).

Almost surely, 2400420440404017 is an apocalyptic number.

It is an amenable number.

400420440404017 is a deficient number, since it is larger than the sum of its proper divisors (40923519218255).

400420440404017 is a wasteful number, since it uses less digits than its factorization.

400420440404017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15593928.

The product of its (nonzero) digits is 57344, while the sum is 34.

The spelling of 400420440404017 in words is "four hundred trillion, four hundred twenty billion, four hundred forty million, four hundred four thousand, seventeen".

Divisors: 1 11 97 1067 24103 265133 2337991 15569717 25717901 171266887 1510262549 16612888039 375276888851 4128045777361 36401858218547 400420440404017