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131344413040 = 2452815842723
BaseRepresentation
bin111101001010010111…
…1001011000101110000
3110120000121200111121101
41322110233023011300
54122443132204130
6140201102334144
712326560042621
oct1722457130560
9416017614541
10131344413040
1150780551595
1221556b8a354
13c50258cbc9
1464ddc6ba48
15363adc81ca
hex1e94bcb170

131344413040 has 40 divisors (see below), whose sum is σ = 306462559248. Its totient is φ = 52350789120.

The previous prime is 131344412999. The next prime is 131344413043. The reversal of 131344413040 is 40314443131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344413043) 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, 2898882 + ... + 2943841.

Almost surely, 2131344413040 is an apocalyptic number.

131344413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344413040 is an abundant number, since it is smaller than the sum of its proper divisors (175118146208).

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

131344413040 is a wasteful number, since it uses less digits than its factorization.

131344413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843017 (or 5843011 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131344413040 its reverse (40314443131), we get a palindrome (171658856171).

The spelling of 131344413040 in words is "one hundred thirty-one billion, three hundred forty-four million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 562 1124 1405 2248 2810 4496 5620 11240 22480 5842723 11685446 23370892 29213615 46741784 58427230 93483568 116854460 233708920 467417840 1641805163 3283610326 6567220652 8209025815 13134441304 16418051630 26268882608 32836103260 65672206520 131344413040