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2042042201298 = 23211109733129083
BaseRepresentation
bin11101101101110011001…
…100110011010011010010
321020012212102122221222200
4131231303030303103102
5231424100300420143
64202033511144030
7300350465214351
oct35556314632322
97205772587880
102042042201298
1171803064a9a0
1228b917975016
1311a743748768
1470b9a37d998
15381b8e111d3
hex1db733334d2

2042042201298 has 96 divisors (see below), whose sum is σ = 4877609330880. Its totient is φ = 612282395520.

The previous prime is 2042042201293. The next prime is 2042042201377. The reversal of 2042042201298 is 8921022402402.

2042042201298 is a `hidden beast` number, since 2 + 0 + 420 + 4 + 2 + 201 + 29 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2042042201293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15755065 + ... + 15884147.

It is an arithmetic number, because the mean of its divisors is an integer number (50808430530).

Almost surely, 22042042201298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042042201298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438804665440).

2042042201298 is an abundant number, since it is smaller than the sum of its proper divisors (2835567129582).

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

2042042201298 is a wasteful number, since it uses less digits than its factorization.

2042042201298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129944 (or 129941 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2042042201298 in words is "two trillion, forty-two billion, forty-two million, two hundred one thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 654 733 981 1199 1466 1962 2199 2398 3597 4398 6597 7194 8063 10791 13194 16126 21582 24189 48378 72567 79897 129083 145134 159794 239691 258166 387249 479382 719073 774498 878867 1161747 1419913 1438146 1757734 2323494 2636601 2839826 4259739 5273202 7909803 8519478 12779217 14070047 15819606 25558434 28140094 42210141 84420282 94617839 126630423 154770517 189235678 253260846 283853517 309541034 464311551 567707034 851560551 928623102 1040796229 1392934653 1703121102 2081592458 2785869306 3122388687 6244777374 9367166061 10313344451 18734332122 20626688902 30940033353 61880066706 92820100059 113446788961 185640200118 226893577922 340340366883 680680733766 1021021100649 2042042201298