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13142250405 = 35515496983
BaseRepresentation
bin11000011110101011…
…01101001110100101
31020220220110111100000
430033111231032211
5203403404003110
610012032011513
7643451166564
oct141725551645
936826414300
1013142250405
115634504279
122669390b99
1313159b943b
148c95d7bdb
1551dba01c0
hex30f56d3a5

13142250405 has 48 divisors (see below), whose sum is σ = 23642236800. Its totient is φ = 7003672128.

The previous prime is 13142250383. The next prime is 13142250463. The reversal of 13142250405 is 50405224131.

13142250405 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 250 + 405 = 666.

It is not a de Polignac number, because 13142250405 - 212 = 13142246309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1878544 + ... + 1885526.

It is an arithmetic number, because the mean of its divisors is an integer number (492546600).

Almost surely, 213142250405 is an apocalyptic number.

13142250405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13142250405 is a deficient number, since it is larger than the sum of its proper divisors (10499986395).

13142250405 is an equidigital number, since it uses as much as digits as its factorization.

13142250405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8540 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13142250405 its reverse (50405224131), we get a palindrome (63547474536).

The spelling of 13142250405 in words is "thirteen billion, one hundred forty-two million, two hundred fifty thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 1549 4647 6983 7745 13941 20949 23235 34915 41823 62847 69705 104745 125469 188541 209115 314235 376407 565623 627345 942705 1696869 1882035 2828115 8484345 10816667 32450001 54083335 97350003 162250005 292050009 486750015 876150027 1460250045 2628450081 4380750135 13142250405