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131404401141 = 31322211517039
BaseRepresentation
bin111101001100001010…
…0000000100111110101
3110120011210120012210220
41322120110000213311
54123104011314031
6140211044204553
712331215660216
oct1723024004765
9416153505726
10131404401141
11508013a4532
1221573099759
13c511b34620
146507c0540d
1536412c7596
hex1e985009f5

131404401141 has 16 divisors (see below), whose sum is σ = 188768321280. Its totient is φ = 80827784640.

The previous prime is 131404401133. The next prime is 131404401157. The reversal of 131404401141 is 141104404131.

It is not a de Polignac number, because 131404401141 - 23 = 131404401133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131404401131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671901 + ... + 845138.

It is an arithmetic number, because the mean of its divisors is an integer number (11798020080).

Almost surely, 2131404401141 is an apocalyptic number.

It is an amenable number.

131404401141 is a deficient number, since it is larger than the sum of its proper divisors (57363920139).

131404401141 is a wasteful number, since it uses less digits than its factorization.

131404401141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519276.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 131404401141 its reverse (141104404131), we get a palindrome (272508805272).

The spelling of 131404401141 in words is "one hundred thirty-one billion, four hundred four million, four hundred one thousand, one hundred forty-one".

Divisors: 1 3 13 39 2221 6663 28873 86619 1517039 4551117 19721507 59164521 3369343619 10108030857 43801467047 131404401141