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242046641130 = 23572164657579
BaseRepresentation
bin1110000101101100011…
…0101010001111101010
3212010202122110100211020
43201123012222033222
512431202420004010
6303110015313310
723326066334400
oct3413306521752
9763678410736
10242046641130
1193719022a98
123aab0b1b836
1319a953c9398
14ba02409470
156469983470
hex385b1aa3ea

242046641130 has 48 divisors (see below), whose sum is σ = 675754708320. Its totient is φ = 55324946208.

The previous prime is 242046641117. The next prime is 242046641159. The reversal of 242046641130 is 31146640242.

It is a happy number.

242046641130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242046641091 and 242046641100.

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, 82327320 + ... + 82330259.

It is an arithmetic number, because the mean of its divisors is an integer number (14078223090).

Almost surely, 2242046641130 is an apocalyptic number.

242046641130 is an abundant number, since it is smaller than the sum of its proper divisors (433708067190).

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

242046641130 is a wasteful number, since it uses less digits than its factorization.

242046641130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164657603 (or 164657596 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 242046641130 in words is "two hundred forty-two billion, forty-six million, six hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 164657579 329315158 493972737 823287895 987945474 1152603053 1646575790 2305206106 2469863685 3457809159 4939727370 5763015265 6915618318 8068221371 11526030530 16136442742 17289045795 24204664113 34578091590 40341106855 48409328226 80682213710 121023320565 242046641130