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141145360 = 2455333289
BaseRepresentation
bin10000110100110…
…11010100010000
3100211120221000221
420122123110100
5242113122420
622001122424
73332500336
oct1032332420
9324527027
10141145360
1172744664
123b329414
132331b785
1414a61b56
15c5d0caa
hex869b510

141145360 has 40 divisors (see below), whose sum is σ = 334364760. Its totient is φ = 55391232.

The previous prime is 141145309. The next prime is 141145363. The reversal of 141145360 is 63541141.

141145360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 138674176 = 1572^2 + 11776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (141145363) 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, 12405 + ... + 20884.

It is an arithmetic number, because the mean of its divisors is an integer number (8359119).

Almost surely, 2141145360 is an apocalyptic number.

141145360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141145360 is an abundant number, since it is smaller than the sum of its proper divisors (193219400).

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

141145360 is a wasteful number, since it uses less digits than its factorization.

141145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33355 (or 33349 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 141145360 is about 11880.4612705063. The cubic root of 141145360 is about 520.6615839606.

The spelling of 141145360 in words is "one hundred forty-one million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 33289 66578 133156 166445 266312 332890 532624 665780 1331560 1764317 2663120 3528634 7057268 8821585 14114536 17643170 28229072 35286340 70572680 141145360