| Base | Representation |
|---|---|
| bin | 111101101010010100… |
| … | …0100010100111100000 |
| 3 | 110122210022211220112000 |
| 4 | 1323110220202213200 |
| 5 | 4132142100304344 |
| 6 | 140455315204000 |
| 7 | 12365254652421 |
| oct | 1732450424740 |
| 9 | 418708756460 |
| 10 | 132416416224 |
| 11 | 51180684434 |
| 12 | 217b5ba6600 |
| 13 | c6436ba611 |
| 14 | 65a239d648 |
| 15 | 36a007da69 |
| hex | 1ed4a229e0 |
132416416224 has 192 divisors, whose sum is σ = 405429857280. Its totient is φ = 41965862400.
The previous prime is 132416416219. The next prime is 132416416229. The reversal of 132416416224 is 422614614231.
132416416224 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 641 + 6 + 2 + 2 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (132416416219) and next prime (132416416229).
It is a super-2 number, since 2×1324164162242 (a number of 23 digits) contains 22 as substring.
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 a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132416416229) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3298674 + ... + 3338574.
It is an arithmetic number, because the mean of its divisors is an integer number (2111613840).
Almost surely, 2132416416224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132416416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202714928640).
132416416224 is an abundant number, since it is smaller than the sum of its proper divisors (273013441056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132416416224 is a wasteful number, since it uses less digits than its factorization.
132416416224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40110 (or 40096 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The spelling of 132416416224 in words is "one hundred thirty-two billion, four hundred sixteen million, four hundred sixteen thousand, two hundred twenty-four".
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