Base | Representation |
---|---|
bin | 10000111010111… |
… | …11100001001000 |
3 | 100220002202102101 |
4 | 20131133201020 |
5 | 242314332000 |
6 | 22030243144 |
7 | 3342355324 |
oct | 1035374110 |
9 | 326082371 |
10 | 141949000 |
11 | 73143426 |
12 | 3b6564b4 |
13 | 235404bb |
14 | 14bd0984 |
15 | c6dde6a |
hex | 875f848 |
141949000 has 128 divisors (see below), whose sum is σ = 362419200. Its totient is φ = 51840000.
The previous prime is 141948979. The next prime is 141949009. The reversal of 141949000 is 949141.
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 141949000.
It is not an unprimeable number, because it can be changed into a prime (141949009) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 588880 + ... + 589120.
It is an arithmetic number, because the mean of its divisors is an integer number (2831400).
Almost surely, 2141949000 is an apocalyptic number.
141949000 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 141949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181209600).
141949000 is an abundant number, since it is smaller than the sum of its proper divisors (220470200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141949000 is a wasteful number, since it uses less digits than its factorization.
141949000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 312 (or 298 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 28.
The square root of 141949000 is about 11914.2351831748. The cubic root of 141949000 is about 521.6478788680.
The spelling of 141949000 in words is "one hundred forty-one million, nine hundred forty-nine thousand".
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