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141336936 = 233213314871
BaseRepresentation
bin10000110110010…
…10000101101000
3100211221122211100
420123022011220
5242140240221
622005201400
73334226016
oct1033120550
9324848740
10141336936
1172865594
123b400260
1323387a30
1414ab18b6
15c61c926
hex86ca168

141336936 has 96 divisors (see below), whose sum is σ = 425617920. Its totient is φ = 42076800.

The previous prime is 141336913. The next prime is 141336941. The reversal of 141336936 is 639633141.

It is a super-2 number, since 2×1413369362 = 39952258955736192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 141336936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26581 + ... + 31451.

It is an arithmetic number, because the mean of its divisors is an integer number (4433520).

Almost surely, 2141336936 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 141336936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212808960).

141336936 is an abundant number, since it is smaller than the sum of its proper divisors (284280984).

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

141336936 is a wasteful number, since it uses less digits than its factorization.

141336936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4920 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 141336936 is about 11888.5211864218. The cubic root of 141336936 is about 520.8970413860.

The spelling of 141336936 in words is "one hundred forty-one million, three hundred thirty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 4871 7254 9672 9742 14508 14613 19484 29016 29226 38968 43839 58452 63323 87678 116904 126646 151001 175356 189969 253292 302002 350712 379938 453003 506584 569907 604004 759876 906006 1139814 1208008 1359009 1519752 1812012 1963013 2279628 2718018 3624024 3926026 4559256 5436036 5889039 7852052 10872072 11778078 15704104 17667117 23556156 35334234 47112312 70668468 141336936