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1432131313040 = 24592919269797
BaseRepresentation
bin10100110101110001101…
…011011001110110010000
312001220120200201121200222
4110311301223121312100
5141431001104004130
63013525000132212
7205316356210361
oct24656153316620
95056520647628
101432131313040
115023aa87735a
121b1681a67068
13a508470163c
144d45bb31b68
15273bde38ce5
hex14d71ad9d90

1432131313040 has 40 divisors (see below), whose sum is σ = 3333289658040. Its totient is φ = 572235862016.

The previous prime is 1432131313027. The next prime is 1432131313043. The reversal of 1432131313040 is 403131312341.

It can be written as a sum of positive squares in 4 ways, for example, as 97311554704 + 1334819758336 = 311948^2 + 1155344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1432131313043) 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, 9560579 + ... + 9709218.

It is an arithmetic number, because the mean of its divisors is an integer number (83332241451).

Almost surely, 21432131313040 is an apocalyptic number.

1432131313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432131313040 is an abundant number, since it is smaller than the sum of its proper divisors (1901158345000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1432131313040 is a wasteful number, since it uses less digits than its factorization.

1432131313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19270739 (or 19270733 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1432131313040 its reverse (403131312341), we get a palindrome (1835262625381).

The spelling of 1432131313040 in words is "one trillion, four hundred thirty-two billion, one hundred thirty-one million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 929 1858 3716 4645 7432 9290 14864 18580 37160 74320 19269797 38539594 77079188 96348985 154158376 192697970 308316752 385395940 770791880 1541583760 17901641413 35803282826 71606565652 89508207065 143213131304 179016414130 286426262608 358032828260 716065656520 1432131313040