| Base | Representation |
|---|---|
| bin | 10000110101110… |
| … | …00011100001000 |
| 3 | 100211210222200000 |
| 4 | 20122320130020 |
| 5 | 242130432043 |
| 6 | 22003443000 |
| 7 | 3333505200 |
| oct | 1032703410 |
| 9 | 324728600 |
| 10 | 141264648 |
| 11 | 72816248 |
| 12 | 3b386460 |
| 13 | 23360b65 |
| 14 | 14a93400 |
| 15 | c6062d3 |
| hex | 86b8708 |
141264648 has 144 divisors (see below), whose sum is σ = 461850480. Its totient is φ = 40334112.
The previous prime is 141264647. The next prime is 141264649. The reversal of 141264648 is 846462141.
It is a happy number.
141264648 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 6 + 4 + 648 = 666.
It is an interprime number because it is at equal distance from previous prime (141264647) and next prime (141264649).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (141264647) 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 35 ways as a sum of consecutive naturals, for example, 94515 + ... + 95997.
It is an arithmetic number, because the mean of its divisors is an integer number (3207295).
Almost surely, 2141264648 is an apocalyptic number.
141264648 is a gapful number since it is divisible by the number (18) 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 141264648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230925240).
141264648 is an abundant number, since it is smaller than the sum of its proper divisors (320585832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141264648 is a wasteful number, since it uses less digits than its factorization.
141264648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1518 (or 1495 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 141264648 is about 11885.4805540205. The cubic root of 141264648 is about 520.8082204738.
The spelling of 141264648 in words is "one hundred forty-one million, two hundred sixty-four thousand, six hundred forty-eight".
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