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10142424042112 = 27611298978489
BaseRepresentation
bin1001001110010111011110…
…0101010000101010000000
31022220121100222012020020001
42103211313211100222000
52312133141023321422
633323210522325344
72064523502622625
oct223456745205200
938817328166201
1010142424042112
113260417a6094a
121179805359854
13587570ca335b
14270c7867834c
15128c63889227
hex93977950a80

10142424042112 has 32 divisors (see below), whose sum is σ = 20536849926900. Its totient is φ = 4988077393920.

The previous prime is 10142424042089. The next prime is 10142424042143. The reversal of 10142424042112 is 21124042424101.

It can be written as a sum of positive squares in 2 ways, for example, as 9646391186496 + 496032855616 = 3105864^2 + 704296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 649481437 + ... + 649497052.

Almost surely, 210142424042112 is an apocalyptic number.

It is an amenable number.

10142424042112 is an abundant number, since it is smaller than the sum of its proper divisors (10394425884788).

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

10142424042112 is an equidigital number, since it uses as much as digits as its factorization.

10142424042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298978564 (or 1298978552 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 10142424042112 its reverse (21124042424101), we get a palindrome (31266466466213).

The spelling of 10142424042112 in words is "ten trillion, one hundred forty-two billion, four hundred twenty-four million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 1298978489 2597956978 5195913956 10391827912 20783655824 41567311648 79237687829 83134623296 158475375658 166269246592 316950751316 633901502632 1267803005264 2535606010528 5071212021056 10142424042112