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417152141 = 74173741
BaseRepresentation
bin11000110111010…
…011110010001101
31002001221112011022
4120313103302031
51323242332031
6105221003525
713223510000
oct3067236215
91061845138
10417152141
111a452063a
12b78535a5
13685686b3
143d58b537
152695097b
hex18dd3c8d

417152141 has 10 divisors (see below), whose sum is σ = 486651342. Its totient is φ = 357556920.

The previous prime is 417152111. The next prime is 417152179. The reversal of 417152141 is 141251714.

It can be written as a sum of positive squares in only one way, i.e., 330476041 + 86676100 = 18179^2 + 9310^2 .

It is a de Polignac number, because none of the positive numbers 2k-417152141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 417152141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417152101) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84470 + ... + 89271.

Almost surely, 2417152141 is an apocalyptic number.

It is an amenable number.

417152141 is a deficient number, since it is larger than the sum of its proper divisors (69499201).

417152141 is an frugal number, since it uses more digits than its factorization.

417152141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173769 (or 173748 counting only the distinct ones).

The product of its digits is 1120, while the sum is 26.

The square root of 417152141 is about 20424.3027053557. The cubic root of 417152141 is about 747.1907594352.

The spelling of 417152141 in words is "four hundred seventeen million, one hundred fifty-two thousand, one hundred forty-one".

Divisors: 1 7 49 343 2401 173741 1216187 8513309 59593163 417152141