| Base | Representation |
|---|---|
| bin | 1000011001100110011… |
| … | …0110111111010100000 |
| 3 | 111210111021122122201100 |
| 4 | 2012121212313322200 |
| 5 | 4331022110302222 |
| 6 | 150143502034400 |
| 7 | 13266106322136 |
| oct | 2063146677240 |
| 9 | 453437578640 |
| 10 | 144311025312 |
| 11 | 562248a2283 |
| 12 | 23b75578a00 |
| 13 | 107baa7194c |
| 14 | 6daddc5756 |
| 15 | 3b494324ac |
| hex | 21999b7ea0 |
144311025312 has 72 divisors (see below), whose sum is σ = 410421260340. Its totient is φ = 48099363840.
The previous prime is 144311025307. The next prime is 144311025317. The reversal of 144311025312 is 213520113441.
144311025312 is a `hidden beast` number, since 14 + 4 + 3 + 110 + 2 + 531 + 2 = 666.
144311025312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (144311025307) and next prime (144311025317).
It can be written as a sum of positive squares in 2 ways, for example, as 115466758416 + 28844266896 = 339804^2 + 169836^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (144311025317) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5944014 + ... + 5968242.
Almost surely, 2144311025312 is an apocalyptic number.
144311025312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
144311025312 is an abundant number, since it is smaller than the sum of its proper divisors (266110235028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144311025312 is a wasteful number, since it uses less digits than its factorization.
144311025312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44926 (or 44915 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
Adding to 144311025312 its reverse (213520113441), we get a palindrome (357831138753).
The spelling of 144311025312 in words is "one hundred forty-four billion, three hundred eleven million, twenty-five thousand, three hundred twelve".
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