Search a number
-
+
141231936 = 2631017283
BaseRepresentation
bin10000110101100…
…00011101000000
3100211202022210110
420122300131000
5242123410221
622003031320
73333310626
oct1032603500
9324668713
10141231936
11727a370a
123b36b540
132334bcc1
1414a85516
15c5eb776
hex86b0740

141231936 has 56 divisors (see below), whose sum is σ = 377427744. Its totient is φ = 46604800.

The previous prime is 141231901. The next prime is 141231941. The reversal of 141231936 is 639132141.

141231936 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15751 + ... + 23033.

Almost surely, 2141231936 is an apocalyptic number.

141231936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188713872).

141231936 is an abundant number, since it is smaller than the sum of its proper divisors (236195808).

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

141231936 is a wasteful number, since it uses less digits than its factorization.

141231936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399 (or 7389 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 141231936 is about 11884.1043415143. The cubic root of 141231936 is about 520.7680169882.

The spelling of 141231936 in words is "one hundred forty-one million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 2424 3232 4848 6464 7283 9696 14566 19392 21849 29132 43698 58264 87396 116528 174792 233056 349584 466112 699168 735583 1398336 1471166 2206749 2942332 4413498 5884664 8826996 11769328 17653992 23538656 35307984 47077312 70615968 141231936