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242314325424 = 24321682738371
BaseRepresentation
bin1110000110101100001…
…1110010110110110000
3212011110022011010122100
43201223003302312300
512432224431403144
6303152340540400
723335526532153
oct3415303626660
9764408133570
10242314325424
1193846135186
123ab666b1700
1319b089c1162
14ba29ba9c9a
15648320c269
hex386b0f2db0

242314325424 has 30 divisors (see below), whose sum is σ = 678143563916. Its totient is φ = 80771441760.

The previous prime is 242314325417. The next prime is 242314325551. The reversal of 242314325424 is 424523413242.

242314325424 is a `hidden beast` number, since 2 + 42 + 31 + 43 + 2 + 542 + 4 = 666.

242314325424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 841369042 + ... + 841369329.

Almost surely, 2242314325424 is an apocalyptic number.

242314325424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242314325424 is an abundant number, since it is smaller than the sum of its proper divisors (435829238492).

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

242314325424 is a wasteful number, since it uses less digits than its factorization.

242314325424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682738385 (or 1682738376 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 242314325424 its reverse (424523413242), we get a palindrome (666837738666).

The spelling of 242314325424 in words is "two hundred forty-two billion, three hundred fourteen million, three hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1682738371 3365476742 5048215113 6730953484 10096430226 13461906968 15144645339 20192860452 26923813936 30289290678 40385720904 60578581356 80771441808 121157162712 242314325424