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141353264 = 24133891747
BaseRepresentation
bin10000110110011…
…10000100110000
3100211222111020002
420123032010300
5242141301024
622005405132
73334324433
oct1033160460
9324874202
10141353264
1172876888
123b4097a8
13233922b0
1414ab781a
15c6226ae
hex86ce130

141353264 has 40 divisors (see below), whose sum is σ = 295866480. Its totient is φ = 65035008.

The previous prime is 141353231. The next prime is 141353269. The reversal of 141353264 is 462353141.

141353264 is digitally balanced in base 3, 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 (141353269) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 80039 + ... + 81785.

It is an arithmetic number, because the mean of its divisors is an integer number (7396662).

Almost surely, 2141353264 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 141353264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147933240).

141353264 is an abundant number, since it is smaller than the sum of its proper divisors (154513216).

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

141353264 is a wasteful number, since it uses less digits than its factorization.

141353264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2151 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 141353264 is about 11889.2078794174. The cubic root of 141353264 is about 520.9170995525.

The spelling of 141353264 in words is "one hundred forty-one million, three hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 389 778 1556 1747 3112 3494 5057 6224 6988 10114 13976 20228 22711 27952 40456 45422 80912 90844 181688 363376 679583 1359166 2718332 5436664 8834579 10873328 17669158 35338316 70676632 141353264