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142376542101 = 3354725513779
BaseRepresentation
bin1000010010011001001…
…1011001111110010101
3111121111110120201122000
42010212103121332111
54313041343321401
6145223515225513
713200136432323
oct2044623317625
9447443521560
10142376542101
1155421934422
1223715748299
1310570056621
146c69102d13
153a846b2186
hex21264d9f95

142376542101 has 32 divisors (see below), whose sum is σ = 211452595200. Its totient is φ = 94681969200.

The previous prime is 142376542093. The next prime is 142376542127. The reversal of 142376542101 is 101245673241.

142376542101 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 7 + 6 + 542 + 101 = 666.

142376542101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142376542101 - 23 = 142376542093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142376542201) 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 31 ways as a sum of consecutive naturals, for example, 37673830 + ... + 37677608.

It is an arithmetic number, because the mean of its divisors is an integer number (6607893600).

Almost surely, 2142376542101 is an apocalyptic number.

It is an amenable number.

142376542101 is a deficient number, since it is larger than the sum of its proper divisors (69076053099).

142376542101 is a wasteful number, since it uses less digits than its factorization.

142376542101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 142376542101 in words is "one hundred forty-two billion, three hundred seventy-six million, five hundred forty-two thousand, one hundred one".

Divisors: 1 3 9 27 547 1641 2551 3779 4923 7653 11337 14769 22959 34011 68877 102033 1395397 2067113 4186191 6201339 9640229 12558573 18604017 28920687 37675719 55812051 86762061 260286183 5273205263 15819615789 47458847367 142376542101