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135314424315 = 3357143189867
BaseRepresentation
bin111111000000101011…
…1100100000111111011
3110221021021221222021000
41332001113210013323
54204110443034230
6142055041420043
712530134425540
oct1760127440773
9427237858230
10135314424315
1152428512844
122228463a623
13c9b5c117c5
146799216bc7
1537be6c7b60
hex1f815e41fb

135314424315 has 32 divisors (see below), whose sum is σ = 274924546560. Its totient is φ = 61858022112.

The previous prime is 135314424307. The next prime is 135314424331. The reversal of 135314424315 is 513424413531.

135314424315 is a `hidden beast` number, since 1 + 3 + 5 + 314 + 4 + 24 + 315 = 666.

It is not a de Polignac number, because 135314424315 - 23 = 135314424307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135314424315.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71593989 + ... + 71595878.

It is an arithmetic number, because the mean of its divisors is an integer number (8591392080).

Almost surely, 2135314424315 is an apocalyptic number.

135314424315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135314424315 is an abundant number, since it is smaller than the sum of its proper divisors (139610122245).

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

135314424315 is a wasteful number, since it uses less digits than its factorization.

135314424315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143189888 (or 143189882 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 135314424315 its reverse (513424413531), we get a palindrome (648738837846).

The spelling of 135314424315 in words is "one hundred thirty-five billion, three hundred fourteen million, four hundred twenty-four thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 143189867 429569601 715949335 1002329069 1288708803 2147848005 3006987207 3866126409 5011645345 6443544015 9020961621 15034936035 19330632045 27062884863 45104808105 135314424315