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130434443134441 = 2961147397500237
BaseRepresentation
bin11101101010000100100010…
…101001100100010111101001
3122002211102002121102011202121
4131222010202221210113221
5114044014214420300231
61141224431142031241
736321402044341165
oct3552044251442751
9562742077364677
10130434443134441
1138618a33804296
121276709b118521
1357a1bb8941a44
14242d0bc911ca5
151012d74bc5311
hex76a122a645e9

130434443134441 has 16 divisors (see below), whose sum is σ = 137145390146640. Its totient is φ = 123871079566080.

The previous prime is 130434443134433. The next prime is 130434443134451. The reversal of 130434443134441 is 144431344434031.

It can be written as a sum of positive squares in 8 ways, for example, as 886226428816 + 129548216705625 = 941396^2 + 11381925^2 .

It is a cyclic number.

It is not a de Polignac number, because 130434443134441 - 23 = 130434443134433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130434443134451) 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, 260495175 + ... + 260995411.

It is an arithmetic number, because the mean of its divisors is an integer number (8571586884165).

Almost surely, 2130434443134441 is an apocalyptic number.

It is an amenable number.

130434443134441 is a deficient number, since it is larger than the sum of its proper divisors (6710947012199).

130434443134441 is a wasteful number, since it uses less digits than its factorization.

130434443134441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647724.

The product of its (nonzero) digits is 1327104, while the sum is 43.

Adding to 130434443134441 its reverse (144431344434031), we get a palindrome (274865787568472).

The spelling of 130434443134441 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-three million, one hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 29 61 1769 147397 500237 4274513 8991217 14506873 30514457 260745293 884919253 73733433089 2138269559581 4497739418429 130434443134441