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130440223444431 = 3472530336561197
BaseRepresentation
bin11101101010001001111011…
…001011101100110111001111
3122002211222000110002100101210
4131222021323023230313033
5114044113034200210211
61141231224510105503
736321665223223665
oct3552117313546717
9562758013070353
10130440223444431
113862042a62378a
1212768232aab293
1357a25ca34b204
14242d4aa494c35
1510130b23b49a6
hex76a27b2ecdcf

130440223444431 has 16 divisors (see below), whose sum is σ = 177627754404864. Its totient is φ = 85106567069664.

The previous prime is 130440223444409. The next prime is 130440223444457. The reversal of 130440223444431 is 134444322044031.

It is a happy number.

It is not a de Polignac number, because 130440223444431 - 27 = 130440223444303 is a prime.

It is a super-2 number, since 2×1304402234444312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130440223444431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130440223446431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14712876 + ... + 21848321.

It is an arithmetic number, because the mean of its divisors is an integer number (11101734650304).

Almost surely, 2130440223444431 is an apocalyptic number.

130440223444431 is a deficient number, since it is larger than the sum of its proper divisors (47187530960433).

130440223444431 is a wasteful number, since it uses less digits than its factorization.

130440223444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36586550.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 130440223444431 its reverse (134444322044031), we get a palindrome (264884545488462).

The spelling of 130440223444431 in words is "one hundred thirty trillion, four hundred forty billion, two hundred twenty-three million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 47 141 25303 75909 1189241 3567723 36561197 109683591 1718376259 5155128777 925107967691 2775323903073 43480074481477 130440223444431