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242255454304104 = 23323364659087557
BaseRepresentation
bin110111000101010001111110…
…010011000111011101101000
31011202202101200010202010121100
4313011101332103013131220
5223223103132300212404
62215122341435041400
7102012243664550403
oct6705217623073550
91152671603663540
10242255454304104
117020aa6340589a
12232068915a0260
13a52378c181267
1443b7325920d3a
151d01948847d39
hexdc547e4c7768

242255454304104 has 24 divisors (see below), whose sum is σ = 656108522073810. Its totient is φ = 80751818101344.

The previous prime is 242255454304079. The next prime is 242255454304121. The reversal of 242255454304104 is 401403454552242.

242255454304104 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 554 + 54 + 3 + 0 + 41 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 231368740856100 + 10886713448004 = 15210810^2 + 3299502^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2422554543041042 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242255454304104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1682329543707 + ... + 1682329543850.

Almost surely, 2242255454304104 is an apocalyptic number.

242255454304104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242255454304104 is an abundant number, since it is smaller than the sum of its proper divisors (413853067769706).

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

242255454304104 is a wasteful number, since it uses less digits than its factorization.

242255454304104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364659087569 (or 3364659087562 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 242255454304104 in words is "two hundred forty-two trillion, two hundred fifty-five billion, four hundred fifty-four million, three hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3364659087557 6729318175114 10093977262671 13458636350228 20187954525342 26917272700456 30281931788013 40375909050684 60563863576026 80751818101368 121127727152052 242255454304104