Search a number
-
+
130443432000401 = 1337416614443081
BaseRepresentation
bin11101101010001100111010…
…011011010111101110010001
3122002212021022001112212202002
4131222030322123113232101
5114044141122043003101
61141232515124403345
736322140563420402
oct3552147233275621
9562767261485662
10130443432000401
1138621826790333
1212768989546555
1357a29bbcc4240
14242d6d26699a9
1510131ede02d6b
hex76a33a6d7b91

130443432000401 has 16 divisors (see below), whose sum is σ = 147793116224208. Its totient is φ = 114297576422400.

The previous prime is 130443432000391. The next prime is 130443432000491. The reversal of 130443432000401 is 104000234344031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9216192001 + 130434215808400 = 96001^2 + 11420780^2 .

It is a de Polignac number, because none of the positive numbers 2k-130443432000401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130443432000491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3307201820 + ... + 3307241261.

It is an arithmetic number, because the mean of its divisors is an integer number (9237069764013).

Almost surely, 2130443432000401 is an apocalyptic number.

It is an amenable number.

130443432000401 is a deficient number, since it is larger than the sum of its proper divisors (17349684223807).

130443432000401 is a wasteful number, since it uses less digits than its factorization.

130443432000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614443172.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 130443432000401 its reverse (104000234344031), we get a palindrome (234443666344432).

The spelling of 130443432000401 in words is "one hundred thirty trillion, four hundred forty-three billion, four hundred thirty-two million, four hundred one", and thus it is an aban number.

Divisors: 1 13 37 41 481 533 1517 19721 6614443081 85987760053 244734393997 271192166321 3181547121961 3525498162173 10034110153877 130443432000401