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131404313420505 = 32522394801271651
BaseRepresentation
bin11101111000001011110011…
…011011000110001011011001
3122020021010111112110112210200
4131320023303123012023121
5114210412013213424010
61143250150324132413
736451435245631506
oct3570136333061331
9566233445415720
10131404313420505
113896229024a154
12128a3052837109
1358424b19c9c88
1424640075c64ad
15102d1db23dcc0
hex7782f36c62d9

131404313420505 has 48 divisors (see below), whose sum is σ = 227917505786880. Its totient is φ = 70036151040000.

The previous prime is 131404313420473. The next prime is 131404313420521. The reversal of 131404313420505 is 505024313404131.

131404313420505 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 4 + 3 + 134 + 2 + 0 + 505 = 666.

It is not a de Polignac number, because 131404313420505 - 25 = 131404313420473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131404313420505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483588930 + ... + 483860580.

It is an arithmetic number, because the mean of its divisors is an integer number (4748281370560).

Almost surely, 2131404313420505 is an apocalyptic number.

131404313420505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131404313420505 is a deficient number, since it is larger than the sum of its proper divisors (96513192366375).

131404313420505 is a wasteful number, since it uses less digits than its factorization.

131404313420505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278702 (or 278699 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 131404313420505 its reverse (505024313404131), we get a palindrome (636428626824636).

The spelling of 131404313420505 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred thirteen million, four hundred twenty thousand, five hundred five".

Divisors: 1 3 5 9 15 45 2239 4801 6717 11195 14403 20151 24005 33585 43209 72015 100755 216045 271651 814953 1358255 2444859 4074765 10749439 12224295 32248317 53747195 96744951 161241585 483724755 608226589 1304196451 1824679767 3041132945 3912589353 5474039301 6520982255 9123398835 11737768059 19562946765 27370196505 58688840295 2920095853789 8760287561367 14600479268945 26280862684101 43801437806835 131404313420505