Search a number
-
+
141837642 = 2352312689
BaseRepresentation
bin10000111010001…
…00010101001010
3100212220002200000
420131010111022
5242302301032
622024023430
73341412552
oct1035042512
9325802600
10141837642
11730777a1
123b601b76
13235018cb
1414ba2162
15c6bae7c
hex874454a

141837642 has 48 divisors (see below), whose sum is σ = 332579520. Its totient is φ = 45220032.

The previous prime is 141837629. The next prime is 141837643. The reversal of 141837642 is 246738141.

141837642 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 3 + 7 + 642 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 141837597 and 141837606.

It is not an unprimeable number, because it can be changed into a prime (141837643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4834 + ... + 17522.

It is an arithmetic number, because the mean of its divisors is an integer number (6928740).

Almost surely, 2141837642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141837642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289760).

141837642 is an abundant number, since it is smaller than the sum of its proper divisors (190741878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141837642 is a wasteful number, since it uses less digits than its factorization.

141837642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12729 (or 12717 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 141837642 is about 11909.5609490862. The cubic root of 141837642 is about 521.5114334747.

It can be divided in two parts, 1418 and 37642, that added together give a triangular number (39060 = T279).

The spelling of 141837642 in words is "one hundred forty-one million, eight hundred thirty-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1242 1863 3726 5589 11178 12689 25378 38067 76134 114201 228402 291847 342603 583694 685206 875541 1027809 1751082 2055618 2626623 3083427 5253246 6166854 7879869 15759738 23639607 47279214 70918821 141837642