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1000142040224 = 2537844714561
BaseRepresentation
bin11101000110111010001…
…11000110110010100000
310112121112121200211001002
432203131013012302200
5112341242330241344
62043243042531132
7132154311034325
oct16433507066240
93477477624032
101000142040224
11356181120908
12141a01666aa8
137340b83b702
143659b25cb4c
151b038e7244e
hexe8dd1c6ca0

1000142040224 has 24 divisors (see below), whose sum is σ = 2022246661428. Its totient is φ = 486555586560.

The previous prime is 1000142040109. The next prime is 1000142040241. The reversal of 1000142040224 is 4220402410001.

It can be written as a sum of positive squares in 2 ways, for example, as 861057796624 + 139084243600 = 927932^2 + 372940^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000142040196 and 1000142040205.

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, 422356097 + ... + 422358464.

Almost surely, 21000142040224 is an apocalyptic number.

It is an amenable number.

1000142040224 is an abundant number, since it is smaller than the sum of its proper divisors (1022104621204).

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

1000142040224 is an equidigital number, since it uses as much as digits as its factorization.

1000142040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844714608 (or 844714600 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1000142040224 its reverse (4220402410001), we get a palindrome (5220544450225).

The spelling of 1000142040224 in words is "one trillion, one hundred forty-two million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 844714561 1689429122 3378858244 6757716488 13515432976 27030865952 31254438757 62508877514 125017755028 250035510056 500071020112 1000142040224