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405351141 = 31371146389
BaseRepresentation
bin11000001010010…
…010101011100101
31001020201222020020
4120022102223211
51312232214031
6104120025353
713021266516
oct3012225345
91036658206
10405351141
111988a0348
12b3902259
1365c96160
143bb98a0d
15258be096
hex18292ae5

405351141 has 16 divisors (see below), whose sum is σ = 590244480. Its totient is φ = 245931840.

The previous prime is 405351131. The next prime is 405351157. The reversal of 405351141 is 141153504.

It is a happy number.

It is not a de Polignac number, because 405351141 - 27 = 405351013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405351131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70426 + ... + 75963.

It is an arithmetic number, because the mean of its divisors is an integer number (36890280).

Almost surely, 2405351141 is an apocalyptic number.

It is an amenable number.

405351141 is a deficient number, since it is larger than the sum of its proper divisors (184893339).

405351141 is a wasteful number, since it uses less digits than its factorization.

405351141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146476.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 405351141 is about 20133.3340756071. The cubic root of 405351141 is about 740.0773847731.

The spelling of 405351141 in words is "four hundred five million, three hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 3 13 39 71 213 923 2769 146389 439167 1903057 5709171 10393619 31180857 135117047 405351141