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131404144000 = 27538212759
BaseRepresentation
bin111101001100001001…
…1000001110110000000
3110120011210002011002011
41322120103001312000
54123103430102000
6140211034502304
712331213536433
oct1723023016600
9416153064064
10131404144000
1150801239318
1221572b94994
13c511a7457c
146507b7981a
1536412762ba
hex1e984c1d80

131404144000 has 64 divisors (see below), whose sum is σ = 326703592800. Its totient is φ = 52561651200.

The previous prime is 131404143989. The next prime is 131404144007. The reversal of 131404144000 is 441404131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131404144007) 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, 4090380 + ... + 4122379.

Almost surely, 2131404144000 is an apocalyptic number.

131404144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404144000 is an abundant number, since it is smaller than the sum of its proper divisors (195299448800).

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

131404144000 is an frugal number, since it uses more digits than its factorization.

131404144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212788 (or 8212766 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 131404144000 its reverse (441404131), we get a palindrome (131845548131).

The spelling of 131404144000 in words is "one hundred thirty-one billion, four hundred four million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 8212759 16425518 32851036 41063795 65702072 82127590 131404144 164255180 205318975 262808288 328510360 410637950 525616576 657020720 821275900 1026594875 1051233152 1314041440 1642551800 2053189750 2628082880 3285103600 4106379500 5256165760 6570207200 8212759000 13140414400 16425518000 26280828800 32851036000 65702072000 131404144000