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42002400001 = 972771563229
BaseRepresentation
bin100111000111100010…
…011100001100000001
311000102012220222220111
4213013202130030001
51142010103300001
631143505111321
73014600336452
oct470742341401
9130365828814
1042002400001
11168a4294881
128182628541
133c64b8a133
1420664cd129
15115c6c0851
hex9c789c301

42002400001 has 8 divisors (see below), whose sum is σ = 42588638120. Its totient is φ = 41419289088.

The previous prime is 42002399909. The next prime is 42002400007. The reversal of 42002400001 is 10000420024.

It can be written as a sum of positive squares in 4 ways, for example, as 11837657601 + 30164742400 = 108801^2 + 173680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42002400001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42002400007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 754746 + ... + 808483.

It is an arithmetic number, because the mean of its divisors is an integer number (5323579765).

Almost surely, 242002400001 is an apocalyptic number.

It is an amenable number.

42002400001 is a deficient number, since it is larger than the sum of its proper divisors (586238119).

42002400001 is a wasteful number, since it uses less digits than its factorization.

42002400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563603.

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 42002400001 its reverse (10000420024), we get a palindrome (52002820025).

The spelling of 42002400001 in words is "forty-two billion, two million, four hundred thousand, one".

Divisors: 1 97 277 26869 1563229 151633213 433014433 42002400001