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465346141 = 13712272221
BaseRepresentation
bin11011101111001…
…001111001011101
31012102122000220021
4123233021321131
51423112034031
6114101552141
714350243201
oct3357117135
91172560807
10465346141
11219748497
1210ba15651
1375540a60
1445b34b01
152acc0511
hex1bbc9e5d

465346141 has 16 divisors (see below), whose sum is σ = 510668928. Its totient is φ = 421444800.

The previous prime is 465346139. The next prime is 465346153. The reversal of 465346141 is 141643564.

It is a cyclic number.

It is not a de Polignac number, because 465346141 - 21 = 465346139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 465346097 and 465346106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465346171) 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 15 ways as a sum of consecutive naturals, for example, 208411 + ... + 210631.

It is an arithmetic number, because the mean of its divisors is an integer number (31916808).

Almost surely, 2465346141 is an apocalyptic number.

It is an amenable number.

465346141 is a deficient number, since it is larger than the sum of its proper divisors (45322787).

465346141 is a wasteful number, since it uses less digits than its factorization.

465346141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532.

The product of its digits is 34560, while the sum is 34.

The square root of 465346141 is about 21571.8831120512. The cubic root of 465346141 is about 774.9232756512.

The spelling of 465346141 in words is "four hundred sixty-five million, three hundred forty-six thousand, one hundred forty-one".

Divisors: 1 13 71 227 923 2221 2951 16117 28873 157691 209521 504167 2049983 6554171 35795857 465346141