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242014419 = 33191074409
BaseRepresentation
bin11100110110011…
…01100011010011
3121212101121101000
432123031203103
5443423430134
640003113043
75666042253
oct1633154323
9555347330
10242014419
1111467a019
1269072783
133b1a79ca
14241db963
15163a7e99
hexe6cd8d3

242014419 has 32 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 151388352.

The previous prime is 242014411. The next prime is 242014439. The reversal of 242014419 is 914410242.

It is a happy number.

242014419 is a `hidden beast` number, since 242 + 0 + 1 + 4 + 419 = 666.

It is not a de Polignac number, because 242014419 - 23 = 242014411 is a prime.

It is a super-2 number, since 2×2420144192 = 117141958007815122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242014392 and 242014401.

It is not an unprimeable number, because it can be changed into a prime (242014411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52687 + ... + 57095.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2242014419 is an apocalyptic number.

242014419 is a deficient number, since it is larger than the sum of its proper divisors (139009581).

242014419 is a wasteful number, since it uses less digits than its factorization.

242014419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 242014419 is about 15556.8126234136. The cubic root of 242014419 is about 623.1803448564.

The spelling of 242014419 in words is "two hundred forty-two million, fourteen thousand, four hundred nineteen".

Divisors: 1 3 9 19 27 57 107 171 321 513 963 2033 2889 4409 6099 13227 18297 39681 54891 83771 119043 251313 471763 753939 1415289 2261817 4245867 8963497 12737601 26890491 80671473 242014419