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2413432242 = 2321370114713
BaseRepresentation
bin1000111111011010…
…0000110110110010
320020012022001122100
42033312200312302
514420314312432
61035252121230
7113543556414
oct21766406662
96205261570
102413432242
111029357401
12574306216
132c600c820
1418c7589b4
15e1d2b07c
hex8fda0db2

2413432242 has 48 divisors (see below), whose sum is σ = 5639758488. Its totient is φ = 741484800.

The previous prime is 2413432237. The next prime is 2413432247. The reversal of 2413432242 is 2422343142.

2413432242 is a `hidden beast` number, since 2 + 413 + 4 + 3 + 2 + 242 = 666.

It is an interprime number because it is at equal distance from previous prime (2413432237) and next prime (2413432247).

It can be written as a sum of positive squares in 4 ways, for example, as 2254445361 + 158986881 = 47481^2 + 12609^2 .

It is not an unprimeable number, because it can be changed into a prime (2413432247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156678 + ... + 171390.

Almost surely, 22413432242 is an apocalyptic number.

2413432242 is an abundant number, since it is smaller than the sum of its proper divisors (3226326246).

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

2413432242 is a wasteful number, since it uses less digits than its factorization.

2413432242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15435 (or 15432 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2413432242 is about 49126.6958180580. The cubic root of 2413432242 is about 1341.3590284987.

Adding to 2413432242 its reverse (2422343142), we get a palindrome (4835775384).

The spelling of 2413432242 in words is "two billion, four hundred thirteen million, four hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 701 1402 2103 4206 6309 9113 12618 14713 18226 27339 29426 44139 54678 82017 88278 132417 164034 191269 264834 382538 573807 1147614 1721421 3442842 10313813 20627626 30941439 61882878 92824317 134079569 185648634 268159138 402238707 804477414 1206716121 2413432242