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142024042232001 = 3254172913134417
BaseRepresentation
bin100000010010101110001100…
…100101100011100011000001
3200121212100212200210022200100
4200102232030211203203001
5122103410214302411001
61222020535544313013
741625620110300026
oct4022561445434301
9617770780708610
10142024042232001
114128707030a856
1213b19264472769
136132a6ac39847
142710000c4b54d
15116458804d586
hex812b8c9638c1

142024042232001 has 12 divisors (see below), whose sum is σ = 205183709597412. Its totient is φ = 94665215982336.

The previous prime is 142024042231997. The next prime is 142024042232047. The reversal of 142024042232001 is 100232240420241.

It is a happy number.

142024042232001 is a `hidden beast` number, since 1 + 4 + 20 + 2 + 404 + 2 + 232 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24619449316401 + 117404592915600 = 4961799^2 + 10835340^2 .

It is not a de Polignac number, because 142024042232001 - 22 = 142024042231997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142024042232801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1456518456 + ... + 1456615961.

It is an arithmetic number, because the mean of its divisors is an integer number (17098642466451).

Almost surely, 2142024042232001 is an apocalyptic number.

It is an amenable number.

142024042232001 is a deficient number, since it is larger than the sum of its proper divisors (63159667365411).

142024042232001 is a wasteful number, since it uses less digits than its factorization.

142024042232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913139840 (or 2913139837 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 142024042232001 its reverse (100232240420241), we get a palindrome (242256282652242).

The spelling of 142024042232001 in words is "one hundred forty-two trillion, twenty-four billion, forty-two million, two hundred thirty-two thousand, one".

Divisors: 1 3 9 5417 16251 48753 2913134417 8739403251 26218209753 15780449136889 47341347410667 142024042232001