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460125141 = 37222713789
BaseRepresentation
bin11011011011001…
…111001111010101
31012001210210000220
4123123033033111
51420243001031
6113354024553
714254666500
oct3333171725
91161723026
10460125141
11216801913
1210a118159
13744334c8
1445176137
152a5dd596
hex1b6cf3d5

460125141 has 24 divisors (see below), whose sum is σ = 716859360. Its totient is φ = 261751392.

The previous prime is 460125137. The next prime is 460125161. The reversal of 460125141 is 141521064.

It is a happy number.

It is not a de Polignac number, because 460125141 - 22 = 460125137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460125121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26475 + ... + 40263.

It is an arithmetic number, because the mean of its divisors is an integer number (29869140).

Almost surely, 2460125141 is an apocalyptic number.

It is an amenable number.

460125141 is a deficient number, since it is larger than the sum of its proper divisors (256734219).

460125141 is a wasteful number, since it uses less digits than its factorization.

460125141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14033 (or 14026 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 460125141 is about 21450.5277557453. The cubic root of 460125141 is about 772.0142579494.

The spelling of 460125141 in words is "four hundred sixty million, one hundred twenty-five thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 147 227 681 1589 4767 11123 13789 33369 41367 96523 289569 675661 2026983 3130103 9390309 21910721 65732163 153375047 460125141