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415145705 = 51341155777
BaseRepresentation
bin11000101111101…
…001111011101001
31001221011120211212
4120233221323221
51322234130310
6105110002505
713200452222
oct3057517351
91057146755
10415145705
111a3380127
12b7046435
1368015360
143d1c8249
15266a6205
hex18be9ee9

415145705 has 16 divisors (see below), whose sum is σ = 549584784. Its totient is φ = 299089920.

The previous prime is 415145669. The next prime is 415145743. The reversal of 415145705 is 507541514.

It can be written as a sum of positive squares in 8 ways, for example, as 126247696 + 288898009 = 11236^2 + 16997^2 .

It is not a de Polignac number, because 415145705 - 214 = 415129321 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75224 + ... + 80553.

It is an arithmetic number, because the mean of its divisors is an integer number (34349049).

Almost surely, 2415145705 is an apocalyptic number.

It is an amenable number.

415145705 is a deficient number, since it is larger than the sum of its proper divisors (134439079).

415145705 is a wasteful number, since it uses less digits than its factorization.

415145705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155836.

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 415145705 is about 20375.1246621953. The cubic root of 415145705 is about 745.9908770600.

The spelling of 415145705 in words is "four hundred fifteen million, one hundred forty-five thousand, seven hundred five".

Divisors: 1 5 13 41 65 205 533 2665 155777 778885 2025101 6386857 10125505 31934285 83029141 415145705