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413144127 = 321120172069
BaseRepresentation
bin11000101000000…
…001010000111111
31001210101220012100
4120220001100333
51321231103002
6104555040143
713144444554
oct3050012077
91053356170
10413144127
111a2233330
12b6440053
13677942a6
143cc26a2b
152640d11c
hex18a0143f

413144127 has 24 divisors (see below), whose sum is σ = 651652560. Its totient is φ = 250145280.

The previous prime is 413144111. The next prime is 413144191. The reversal of 413144127 is 721441314.

It is not a de Polignac number, because 413144127 - 24 = 413144111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413144127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413144827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198649 + ... + 200717.

It is an arithmetic number, because the mean of its divisors is an integer number (27152190).

Almost surely, 2413144127 is an apocalyptic number.

413144127 is a deficient number, since it is larger than the sum of its proper divisors (238508433).

413144127 is a wasteful number, since it uses less digits than its factorization.

413144127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4100 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 413144127 is about 20325.9471366035. The cubic root of 413144127 is about 744.7900415806.

It can be divided in two parts, 4 and 13144127, that added together give a palindrome (13144131).

The spelling of 413144127 in words is "four hundred thirteen million, one hundred forty-four thousand, one hundred twenty-seven".

Divisors: 1 3 9 11 33 99 2017 2069 6051 6207 18153 18621 22187 22759 66561 68277 199683 204831 4173173 12519519 37558557 45904903 137714709 413144127