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240000292000042 = 27223385837122449
BaseRepresentation
bin110110100100011101101100…
…001001101001000100101010
31011110202210201000000012122021
4312210131230021221010222
5222424131044223000132
62210234340112215054
7101360306653341400
oct6644355411510452
91143683630005567
10240000292000042
116a520609048372
1222b017b823a48a
13a3bbc131b3022
14433a10cbcd470
151cb2e59739997
hexda476c26912a

240000292000042 has 48 divisors (see below), whose sum is σ = 420581676083400. Its totient is φ = 102413790968832.

The previous prime is 240000292000019. The next prime is 240000292000069.

It is a happy number.

240000292000042 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 167708482953361 + 72291809046681 = 12950231^2 + 8502459^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240000291999980 and 240000292000016.

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, 1959940834 + ... + 1960063282.

Almost surely, 2240000292000042 is an apocalyptic number.

240000292000042 is a deficient number, since it is larger than the sum of its proper divisors (180581384083358).

240000292000042 is a wasteful number, since it uses less digits than its factorization.

240000292000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208535 (or 208528 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 240000292000042 in words is "two hundred forty trillion, two hundred ninety-two million, forty-two", and thus it is an aban number.

Divisors: 1 2 7 14 49 98 233 466 1631 3262 11417 22834 85837 122449 171674 244898 600859 857143 1201718 1714286 4206013 6000001 8412026 12000002 20000021 28530617 40000042 57061234 140000147 199714319 280000294 399428638 980001029 1398000233 1960002058 2796000466 10510654813 21021309626 73574583691 147149167382 515022085837 1030044171674 2448982571429 4897965142858 17142878000003 34285756000006 120000146000021 240000292000042