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141240000 = 2635411107
BaseRepresentation
bin10000110101100…
…10011011000000
3100211202201212010
420122302123000
5242124140000
622003132520
73333343266
oct1032623300
9324681763
10141240000
11727a9780
123b374140
1323352885
1414a88436
15c5edd50
hex86b26c0

141240000 has 280 divisors, whose sum is σ = 514185408. Its totient is φ = 33920000.

The previous prime is 141239983. The next prime is 141240019. The reversal of 141240000 is 42141.

141240000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 39 ways as a sum of consecutive naturals, for example, 1319947 + ... + 1320053.

Almost surely, 2141240000 is an apocalyptic number.

141240000 is a gapful number since it is divisible by the number (10) 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 141240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257092704).

141240000 is an abundant number, since it is smaller than the sum of its proper divisors (372945408).

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

141240000 is a wasteful number, since it uses less digits than its factorization.

141240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 141240000 is about 11884.4436133965. The cubic root of 141240000 is about 520.7779283286. Note that the first 3 decimals are identical.

Adding to 141240000 its reverse (42141), we get a palindrome (141282141).

The spelling of 141240000 in words is "one hundred forty-one million, two hundred forty thousand".