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2412256522142 = 2231014314492683
BaseRepresentation
bin100011000110100101101…
…100010110111110011110
322112121110022020001112102
4203012211230112332132
5304010300132202032
65044101513005102
7336164652060545
oct43064554267636
98477408201472
102412256522142
11850039a12725
1232b6179b3792
1314662322147c
1484a7a76715c
1542b35918362
hex231a5b16f9e

2412256522142 has 64 divisors (see below), whose sum is σ = 3831875942400. Its totient is φ = 1136653056000.

The previous prime is 2412256522139. The next prime is 2412256522147.

2412256522142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2412256522096 and 2412256522105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412256522147) 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 31 ways as a sum of consecutive naturals, for example, 899087933 + ... + 899090615.

It is an arithmetic number, because the mean of its divisors is an integer number (59873061600).

Almost surely, 22412256522142 is an apocalyptic number.

2412256522142 is a deficient number, since it is larger than the sum of its proper divisors (1419619420258).

2412256522142 is a wasteful number, since it uses less digits than its factorization.

2412256522142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689.

The product of its digits is 153600, while the sum is 38.

The spelling of 2412256522142 in words is "two trillion, four hundred twelve billion, two hundred fifty-six million, five hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 23 46 101 202 431 449 862 898 2323 2683 4646 5366 9913 10327 19826 20654 43531 45349 61709 87062 90698 123418 193519 270983 387038 541966 1001213 1043027 1156373 1204667 2002426 2086054 2312746 2409334 4450937 6232609 8901874 12465218 19545419 26596579 27707341 39090838 53193158 55414682 116793673 121671367 233587346 243342734 449544637 519211477 899089274 1038422954 2686254479 2798441441 5372508958 5596882882 11941863971 23883727942 52440359177 104880718354 1206128261071 2412256522142