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242744242447242 = 23331145008508033
BaseRepresentation
bin110111001100011001001100…
…010101111010001110001010
31011211111010022121212111122000
4313030121030111322032022
5223304110202031302432
62220135055425211430
7102062456422324524
oct6714311425721612
91154433277774560
10242744242447242
1170389289594288
1223285563790b76
13a55a8b75285b3
1443d2c53a86a14
151d0e504ede57c
hexdcc64c57a38a

242744242447242 has 32 divisors (see below), whose sum is σ = 556832670850560. Its totient is φ = 78304594337280.

The previous prime is 242744242447183. The next prime is 242744242447279.

242744242447242 is a `hidden beast` number, since 2 + 4 + 2 + 74 + 42 + 4 + 24 + 472 + 42 = 666.

242744242447242 is nontrivially palindromic in base 10.

242744242447242 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2427442424472422 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72504252343 + ... + 72504255690.

It is an arithmetic number, because the mean of its divisors is an integer number (17401020964080).

Almost surely, 2242744242447242 is an apocalyptic number.

242744242447242 is an abundant number, since it is smaller than the sum of its proper divisors (314088428403318).

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

242744242447242 is a wasteful number, since it uses less digits than its factorization.

242744242447242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145008508075 (or 145008508069 counting only the distinct ones).

The product of its digits is 51380224, while the sum is 54.

The spelling of 242744242447242 in words is "two hundred forty-two trillion, seven hundred forty-four billion, two hundred forty-two million, four hundred forty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 145008508033 290017016066 435025524099 870051048198 1305076572297 2610153144594 3915229716891 4495263749023 7830459433782 8990527498046 13485791247069 26971582494138 40457373741207 80914747482414 121372121223621 242744242447242