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141135316 = 22737592309
BaseRepresentation
bin10000110100110…
…00110111010100
3100211120102020221
420122120313110
5242112312231
622001004124
73332426140
oct1032306724
9324512227
10141135316
1172738063
123b323644
132331702a
1414a5c220
15c5ccd11
hex8698dd4

141135316 has 48 divisors (see below), whose sum is σ = 294940800. Its totient is φ = 57829248.

The previous prime is 141135301. The next prime is 141135359. The reversal of 141135316 is 613531141.

141135316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59970 + ... + 62278.

It is an arithmetic number, because the mean of its divisors is an integer number (6144600).

Almost surely, 2141135316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141135316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147470400).

141135316 is an abundant number, since it is smaller than the sum of its proper divisors (153805484).

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

141135316 is a wasteful number, since it uses less digits than its factorization.

141135316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2414 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 141135316 is about 11880.0385521260. The cubic root of 141135316 is about 520.6492334566.

Adding to 141135316 its reverse (613531141), we get a palindrome (754666457).

The spelling of 141135316 in words is "one hundred forty-one million, one hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 37 59 74 118 148 236 259 413 518 826 1036 1652 2183 2309 4366 4618 8732 9236 15281 16163 30562 32326 61124 64652 85433 136231 170866 272462 341732 544924 598031 953617 1196062 1907234 2392124 3814468 5040547 10081094 20162188 35283829 70567658 141135316