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242324012520 = 23325673122257
BaseRepresentation
bin1110000110101110100…
…0101111110111101000
3212011110222101021211200
43201223220233313220
512432234421400040
6303153324324200
723336005056342
oct3415350576750
9764428337750
10242324012520
1193850651247
123ab699a3660
1319b0aa03475
14ba2b1ac292
156483ec2630
hex386ba2fde8

242324012520 has 48 divisors (see below), whose sum is σ = 787553041860. Its totient is φ = 64619736576.

The previous prime is 242324012503. The next prime is 242324012551. The reversal of 242324012520 is 25210423242.

242324012520 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 2 + 401 + 252 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 236376826596 + 5947185924 = 486186^2 + 77118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336560769 + ... + 336561488.

Almost surely, 2242324012520 is an apocalyptic number.

242324012520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242324012520 is an abundant number, since it is smaller than the sum of its proper divisors (545229029340).

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

242324012520 is a wasteful number, since it uses less digits than its factorization.

242324012520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673122274 (or 673122267 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 242324012520 its reverse (25210423242), we get a palindrome (267534435762).

The spelling of 242324012520 in words is "two hundred forty-two billion, three hundred twenty-four million, twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 673122257 1346244514 2019366771 2692489028 3365611285 4038733542 5384978056 6058100313 6731222570 8077467084 10096833855 12116200626 13462445140 16154934168 20193667710 24232401252 26924890280 30290501565 40387335420 48464802504 60581003130 80774670840 121162006260 242324012520