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141142250205135 = 3253136494449003
BaseRepresentation
bin100000000101111000111101…
…101011111010111111001111
3200111202001211002112002222100
4200011320331223322333033
5121444433312023031020
61220103504333050143
741505122351604204
oct4005707553727717
9614661732462870
10141142250205135
1140a77101740743
12139b6392026953
13609a8707ca44a
1426bd46db4bcab
15114b6792aba90
hex805e3dafafcf

141142250205135 has 12 divisors (see below), whose sum is σ = 244646567022312. Its totient is φ = 75275866776048.

The previous prime is 141142250205079. The next prime is 141142250205157. The reversal of 141142250205135 is 531502052241141.

141142250205135 is a `hidden beast` number, since 1 + 4 + 1 + 14 + 2 + 2 + 502 + 0 + 5 + 135 = 666.

It is not a de Polignac number, because 141142250205135 - 213 = 141142250196943 is a prime.

It is a super-2 number, since 2×1411422502051352 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141142250205135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1568247224457 + ... + 1568247224546.

It is an arithmetic number, because the mean of its divisors is an integer number (20387213918526).

Almost surely, 2141142250205135 is an apocalyptic number.

141142250205135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141142250205135 is a deficient number, since it is larger than the sum of its proper divisors (103504316817177).

141142250205135 is a wasteful number, since it uses less digits than its factorization.

141142250205135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136494449014 (or 3136494449011 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 141142250205135 in words is "one hundred forty-one trillion, one hundred forty-two billion, two hundred fifty million, two hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 3136494449003 9409483347009 15682472245015 28228450041027 47047416735045 141142250205135