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141211434 = 23721336947
BaseRepresentation
bin10000110101010…
…11011100101010
3100211201021200010
420122223130222
5242122231214
622002352350
73333164100
oct1032533452
9324637603
10141211434
117278a271
123b35b6b6
1323342880
1414a7bc70
15c5e5659
hex86ab72a

141211434 has 48 divisors (see below), whose sum is σ = 353814048. Its totient is φ = 37241568.

The previous prime is 141211409. The next prime is 141211463. The reversal of 141211434 is 434112141.

141211434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 141211434.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14652 + ... + 22295.

It is an arithmetic number, because the mean of its divisors is an integer number (7371126).

Almost surely, 2141211434 is an apocalyptic number.

141211434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

141211434 is an abundant number, since it is smaller than the sum of its proper divisors (212602614).

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

141211434 is a wasteful number, since it uses less digits than its factorization.

141211434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36979 (or 36972 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 141211434 is about 11883.2417294272. The cubic root of 141211434 is about 520.7428165912.

Adding to 141211434 its reverse (434112141), we get a palindrome (575323575).

It can be divided in two parts, 141 and 211434, that added together give a triangular number (211575 = T650).

The spelling of 141211434 in words is "one hundred forty-one million, two hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 36947 73894 110841 221682 258629 480311 517258 775887 960622 1440933 1551774 1810403 2881866 3362177 3620806 5431209 6724354 10086531 10862418 20173062 23535239 47070478 70605717 141211434