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141146313 = 37211412129
BaseRepresentation
bin10000110100110…
…11100011001001
3100211120222100020
420122123203021
5242113140223
622001131053
73332503200
oct1032334311
9324528306
10141146313
1172745350
123b329a89
132331c039
1414a62237
15c5d11e3
hex869b8c9

141146313 has 48 divisors (see below), whose sum is σ = 244762560. Its totient is φ = 71500800.

The previous prime is 141146281. The next prime is 141146353. The reversal of 141146313 is 313641141.

It is not a de Polignac number, because 141146313 - 25 = 141146281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141146353) 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 47 ways as a sum of consecutive naturals, for example, 65233 + ... + 67361.

It is an arithmetic number, because the mean of its divisors is an integer number (5099220).

Almost surely, 2141146313 is an apocalyptic number.

It is an amenable number.

141146313 is a deficient number, since it is larger than the sum of its proper divisors (103616247).

141146313 is a wasteful number, since it uses less digits than its factorization.

141146313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2191 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 141146313 is about 11880.5013783089. The cubic root of 141146313 is about 520.6627557771.

Adding to 141146313 its reverse (313641141), we get a palindrome (454787454).

The spelling of 141146313 in words is "one hundred forty-one million, one hundred forty-six thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 41 49 77 123 147 231 287 451 539 861 1353 1617 2009 2129 3157 6027 6387 9471 14903 22099 23419 44709 66297 70257 87289 104321 163933 261867 312963 491799 611023 960179 1147531 1833069 2880537 3442593 4277161 6721253 12831483 20163759 47048771 141146313