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1321441412141 = 17271328651621
BaseRepresentation
bin10011001110101100000…
…010111100010000101101
311200022212112011001012202
4103032230002330100231
5133122303000142031
62451021203311245
7164320356450134
oct23165402742055
94608775131182
101321441412141
1146a469255514
1219413007b525
13977c42c0066
1447d5b08291b
15245914b62cb
hex133ac0bc42d

1321441412141 has 8 divisors (see below), whose sum is σ = 1399689037944. Its totient is φ = 1243251095040.

The previous prime is 1321441412131. The next prime is 1321441412147. The reversal of 1321441412141 is 1412141441231.

It can be written as a sum of positive squares in 4 ways, for example, as 789192373225 + 532249038916 = 888365^2 + 729554^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1321441412141 - 234 = 1304261542957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321441412147) 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 7 ways as a sum of consecutive naturals, for example, 14279690 + ... + 14371931.

It is an arithmetic number, because the mean of its divisors is an integer number (174961129743).

Almost surely, 21321441412141 is an apocalyptic number.

It is an amenable number.

1321441412141 is a deficient number, since it is larger than the sum of its proper divisors (78247625803).

1321441412141 is a wasteful number, since it uses less digits than its factorization.

1321441412141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28654351.

The product of its digits is 3072, while the sum is 29.

Adding to 1321441412141 its reverse (1412141441231), we get a palindrome (2733582853372).

The spelling of 1321441412141 in words is "one trillion, three hundred twenty-one billion, four hundred forty-one million, four hundred twelve thousand, one hundred forty-one".

Divisors: 1 17 2713 46121 28651621 487077557 77731847773 1321441412141