| Base | Representation |
|---|---|
| bin | 10000110110010… |
| … | …00010100000000 |
| 3 | 100211221021212000 |
| 4 | 20123020110000 |
| 5 | 242140022124 |
| 6 | 22005104000 |
| 7 | 3334165560 |
| oct | 1033102400 |
| 9 | 324837760 |
| 10 | 141329664 |
| 11 | 72860083 |
| 12 | 3b3b8000 |
| 13 | 23384628 |
| 14 | 14aacda0 |
| 15 | c61a6c9 |
| hex | 86c8500 |
141329664 has 288 divisors, whose sum is σ = 502333440. Its totient is φ = 38320128.
The previous prime is 141329663. The next prime is 141329693. The reversal of 141329664 is 466923141.
141329664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 nude number because it is divisible by every one of its digits.
Its product of digits (31104) is a multiple of the sum of its prime divisors (162).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (141329663) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112769 + ... + 1112895.
Almost surely, 2141329664 is an apocalyptic number.
141329664 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 141329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251166720).
141329664 is an abundant number, since it is smaller than the sum of its proper divisors (361003776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141329664 is a wasteful number, since it uses less digits than its factorization.
141329664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 182 (or 162 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 141329664 is about 11888.2153412529. The cubic root of 141329664 is about 520.8881075848. Note that the first 3 decimals are identical.
The spelling of 141329664 in words is "one hundred forty-one million, three hundred twenty-nine thousand, six hundred sixty-four".
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