| Base | Representation |
|---|---|
| bin | 10000111010111… |
| … | …10011001010000 |
| 3 | 100220002112010000 |
| 4 | 20131132121100 |
| 5 | 242314210100 |
| 6 | 22030210000 |
| 7 | 3342336033 |
| oct | 1035363120 |
| 9 | 326075100 |
| 10 | 141944400 |
| 11 | 7313aa24 |
| 12 | 3b653900 |
| 13 | 2353b390 |
| 14 | 14bcd01a |
| 15 | c6dc900 |
| hex | 875e650 |
141944400 has 300 divisors, whose sum is σ = 550241692. Its totient is φ = 34836480.
The previous prime is 141944393. The next prime is 141944401. The reversal of 141944400 is 4449141.
It can be written as a sum of positive squares in 6 ways, for example, as 27625536 + 114318864 = 5256^2 + 10692^2 .
It is a tau number, because it is divible by the number of its divisors (300).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (141944401) 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 59 ways as a sum of consecutive naturals, for example, 421032 + ... + 421368.
Almost surely, 2141944400 is an apocalyptic number.
141944400 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 141944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275120846).
141944400 is an abundant number, since it is smaller than the sum of its proper divisors (408297292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141944400 is a wasteful number, since it uses less digits than its factorization.
141944400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 380 (or 360 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 141944400 is about 11914.0421352285. The cubic root of 141944400 is about 521.6422439659.
The spelling of 141944400 in words is "one hundred forty-one million, nine hundred forty-four thousand, four hundred".
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