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141359904 = 25357353
BaseRepresentation
bin10000110110011…
…11101100100000
3100211222211100000
420123033230200
5242142004104
622005500000
73334353000
oct1033175440
9324884300
10141359904
1172880874
123b411600
132339531a
1414aba000
15c624639
hex86cfb20

141359904 has 288 divisors, whose sum is σ = 495331200. Its totient is φ = 39626496.

The previous prime is 141359899. The next prime is 141359917. The reversal of 141359904 is 409953141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 6.

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 47 ways as a sum of consecutive naturals, for example, 2667142 + ... + 2667194.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2141359904 is an apocalyptic number.

141359904 is a gapful number since it is divisible by the number (14) 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 141359904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

141359904 is an abundant number, since it is smaller than the sum of its proper divisors (353971296).

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

141359904 is an frugal number, since it uses more digits than its factorization.

141359904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 141359904 is about 11889.4871209821. The cubic root of 141359904 is about 520.9252560329.

The spelling of 141359904 in words is "one hundred forty-one million, three hundred fifty-nine thousand, nine hundred four".