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141406434 = 232131035867
BaseRepresentation
bin10000110110110…
…11000011100010
3100212002012011100
420123123003202
5242200001214
622010455230
73334635441
oct1033330342
9325065140
10141406434
1172902824
123b434516
13233b0560
1414accd58
15c633309
hex86db0e2

141406434 has 48 divisors (see below), whose sum is σ = 333208512. Its totient is φ = 43079904.

The previous prime is 141406429. The next prime is 141406451. The reversal of 141406434 is 434604141.

141406434 is a `hidden beast` number, since 1 + 4 + 14 + 0 + 643 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141406398 and 141406407.

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 23 ways as a sum of consecutive naturals, for example, 21169 + ... + 27035.

It is an arithmetic number, because the mean of its divisors is an integer number (6941844).

Almost surely, 2141406434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141406434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166604256).

141406434 is an abundant number, since it is smaller than the sum of its proper divisors (191802078).

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

141406434 is a wasteful number, since it uses less digits than its factorization.

141406434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 141406434 is about 11891.4437306830. The cubic root of 141406434 is about 520.9824056500.

The spelling of 141406434 in words is "one hundred forty-one million, four hundred six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 618 927 1339 1854 2678 4017 5867 8034 11734 12051 17601 24102 35202 52803 76271 105606 152542 228813 457626 604301 686439 1208602 1372878 1812903 3625806 5438709 7855913 10877418 15711826 23567739 47135478 70703217 141406434