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315141142014 = 232711032394071
BaseRepresentation
bin1001001010111111110…
…00000011010111111110
31010010102201122201212200
410211133320003113332
520130402113021024
6400435052212330
731524330336456
oct4453770032776
91103381581780
10315141142014
11111717a60406
12510b016a0a6
1323943994a3a
1411377dc6d66
1582e6aa32c9
hex495fe035fe

315141142014 has 48 divisors (see below), whose sum is σ = 699145634304. Its totient is φ = 102561958800.

The previous prime is 315141141977. The next prime is 315141142033. The reversal of 315141142014 is 410241141513.

It is a happy number.

315141142014 is a `hidden beast` number, since 3 + 1 + 514 + 1 + 142 + 0 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065402 + ... + 1328669.

It is an arithmetic number, because the mean of its divisors is an integer number (14565534048).

Almost surely, 2315141142014 is an apocalyptic number.

315141142014 is an abundant number, since it is smaller than the sum of its proper divisors (384004492290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315141142014 is a wasteful number, since it uses less digits than its factorization.

315141142014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394253 (or 2394250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 315141142014 its reverse (410241141513), we get a palindrome (725382283527).

The spelling of 315141142014 in words is "three hundred fifteen billion, one hundred forty-one million, one hundred forty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 71 103 142 206 213 309 426 618 639 927 1278 1854 7313 14626 21939 43878 65817 131634 2394071 4788142 7182213 14364426 21546639 43093278 169979041 246589313 339958082 493178626 509937123 739767939 1019874246 1479535878 1529811369 2219303817 3059622738 4438607634 17507841223 35015682446 52523523669 105047047338 157570571007 315141142014