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141868314 = 2337894217
BaseRepresentation
bin10000111010010…
…11110100011010
3100212221122202000
420131023310122
5242304241224
622024421430
73341601150
oct1035136432
9325848660
10141868314
1173098845
123b617876
1323512863
1414bad3d0
15c6c50c9
hex874bd1a

141868314 has 64 divisors (see below), whose sum is σ = 364435200. Its totient is φ = 40068864.

The previous prime is 141868313. The next prime is 141868327. The reversal of 141868314 is 413868141.

It is a happy number.

141868314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141868313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31534 + ... + 35750.

It is an arithmetic number, because the mean of its divisors is an integer number (5694300).

Almost surely, 2141868314 is an apocalyptic number.

141868314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141868314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182217600).

141868314 is an abundant number, since it is smaller than the sum of its proper divisors (222566886).

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

141868314 is a wasteful number, since it uses less digits than its factorization.

141868314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4318 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 141868314 is about 11910.8485843789. The cubic root of 141868314 is about 521.5490225697.

It can be divided in two parts, 14186 and 8314, that added together give a square (22500 = 1502).

The spelling of 141868314 in words is "one hundred forty-one million, eight hundred sixty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 267 378 534 623 801 1246 1602 1869 2403 3738 4217 4806 5607 8434 11214 12651 16821 25302 29519 33642 37953 59038 75906 88557 113859 177114 227718 265671 375313 531342 750626 797013 1125939 1594026 2251878 2627191 3377817 5254382 6755634 7881573 10133451 15763146 20266902 23644719 47289438 70934157 141868314