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242211363112242 = 232101530925095041
BaseRepresentation
bin110111000100101000111010…
…010000100100010100110010
31011202121011212100101111221100
4313010220322100210110302
5223221342332424042432
62215050210351505230
7102006123241604466
oct6704507220442462
91152534770344840
10242211363112242
11701a3298048857
12231ba227528216
13a51c58362ba14
1443b5141c624a6
151d00717ac607c
hexdc4a3a424532

242211363112242 has 48 divisors (see below), whose sum is σ = 530087089273560. Its totient is φ = 79922683392000.

The previous prime is 242211363112207. The next prime is 242211363112253.

242211363112242 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 1 + 1 + 3 + 631 + 12 + 2 + 4 + 2 = 666.

242211363112242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 113563571137641 + 128647791974601 = 10656621^2 + 11342301^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242211363112197 and 242211363112206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2895759 + ... + 22199282.

Almost surely, 2242211363112242 is an apocalyptic number.

242211363112242 is an abundant number, since it is smaller than the sum of its proper divisors (287875726161318).

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

242211363112242 is a wasteful number, since it uses less digits than its factorization.

242211363112242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25100459 (or 25100456 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 242211363112242 in words is "two hundred forty-two trillion, two hundred eleven billion, three hundred sixty-three million, one hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 5309 10618 15927 31854 47781 95562 536209 1072418 1608627 3217254 4825881 9651762 25095041 50190082 75285123 150570246 225855369 451710738 2534599141 5069198282 7603797423 15207594846 22811392269 45622784538 133229572669 266459145338 399688718007 799377436014 1199066154021 2398132308042 13456186839569 26912373679138 40368560518707 80737121037414 121105681556121 242211363112242