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242114140311104 = 2610934706728829
BaseRepresentation
bin110111000011001110010111…
…010101000000111001000000
31011202020212220201112111022202
4313003032113111000321000
5223213244224404423404
62214533411153452332
7101666112046460615
oct6703162725007100
91152225821474282
10242114140311104
1170166037337326
12231a34138710a8
13a51335b2c5119
1443b055b9ac50c
151cece275c021e
hexdc3397540e40

242114140311104 has 28 divisors (see below), whose sum is σ = 484853001755100. Its totient is φ = 119946454829568.

The previous prime is 242114140311091. The next prime is 242114140311247. The reversal of 242114140311104 is 401113041411242.

It can be written as a sum of positive squares in 2 ways, for example, as 172986888392704 + 69127251918400 = 13152448^2 + 8314280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17353357439 + ... + 17353371390.

Almost surely, 2242114140311104 is an apocalyptic number.

It is an amenable number.

242114140311104 is an abundant number, since it is smaller than the sum of its proper divisors (242738861443996).

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

242114140311104 is a wasteful number, since it uses less digits than its factorization.

242114140311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34706728950 (or 34706728940 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 242114140311104 its reverse (401113041411242), we get a palindrome (643227181722346).

The spelling of 242114140311104 in words is "two hundred forty-two trillion, one hundred fourteen billion, one hundred forty million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 34706728829 69413457658 138826915316 277653830632 555307661264 1110615322528 2221230645056 3783033442361 7566066884722 15132133769444 30264267538888 60528535077776 121057070155552 242114140311104