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1282424348420 = 22587773114273
BaseRepresentation
bin10010101010010110011…
…100101001111100000100
311112121011100122211210122
4102222112130221330010
5132002401113122140
62421045420241112
7161436446050565
oct22522634517404
94477140584718
101282424348420
11454967126006
121886613a0198
1393c16a81bc7
14460d926016c
152355ae3eab5
hex12a96729f04

1282424348420 has 24 divisors (see below), whose sum is σ = 2696161968024. Its totient is φ = 512384818176.

The previous prime is 1282424348393. The next prime is 1282424348431. The reversal of 1282424348420 is 248434242821.

It can be written as a sum of positive squares in 4 ways, for example, as 218320693504 + 1064103654916 = 467248^2 + 1031554^2 .

It is a super-2 number, since 2×12824243484202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36539597 + ... + 36574676.

It is an arithmetic number, because the mean of its divisors is an integer number (112340082001).

Almost surely, 21282424348420 is an apocalyptic number.

1282424348420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282424348420 is an abundant number, since it is smaller than the sum of its proper divisors (1413737619604).

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

1282424348420 is a wasteful number, since it uses less digits than its factorization.

1282424348420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73115159 (or 73115157 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 44.

The spelling of 1282424348420 in words is "one trillion, two hundred eighty-two billion, four hundred twenty-four million, three hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 877 1754 3508 4385 8770 17540 73114273 146228546 292457092 365571365 731142730 1462285460 64121217421 128242434842 256484869684 320606087105 641212174210 1282424348420