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415361141 = 1382138917
BaseRepresentation
bin11000110000011…
…110100001110101
31001221120112100222
4120300132201311
51322313024031
6105114344125
713202340266
oct3060364165
91057515328
10415361141
111a3507a78
12b712b045
136808c430
143d24296d
15266e9e7b
hex18c1e875

415361141 has 8 divisors (see below), whose sum is σ = 447868344. Its totient is φ = 382933440.

The previous prime is 415361129. The next prime is 415361189. The reversal of 415361141 is 141163514.

It can be written as a sum of positive squares in 4 ways, for example, as 8532241 + 406828900 = 2921^2 + 20170^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 415361141 - 26 = 415361077 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 415361141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415361101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8786 + ... + 30131.

It is an arithmetic number, because the mean of its divisors is an integer number (55983543).

Almost surely, 2415361141 is an apocalyptic number.

It is an amenable number.

415361141 is a deficient number, since it is larger than the sum of its proper divisors (32507203).

415361141 is a wasteful number, since it uses less digits than its factorization.

415361141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39751.

The product of its digits is 1440, while the sum is 26.

The square root of 415361141 is about 20380.4107171568. The cubic root of 415361141 is about 746.1198964191.

The spelling of 415361141 in words is "four hundred fifteen million, three hundred sixty-one thousand, one hundred forty-one".

Divisors: 1 13 821 10673 38917 505921 31950857 415361141