Base | Representation |
---|---|
bin | 1000011011110110101… |
… | …0101000000111101000 |
3 | 111212001102222222211200 |
4 | 2012331222220013220 |
5 | 4333241443121333 |
6 | 150323512324200 |
7 | 13320103403442 |
oct | 2067552500750 |
9 | 455042888750 |
10 | 144915988968 |
11 | 56505330443 |
12 | 241040a3660 |
13 | 108861b78ca |
14 | 702a4a1492 |
15 | 3b825d0c13 |
hex | 21bdaa81e8 |
144915988968 has 24 divisors (see below), whose sum is σ = 392480803650. Its totient is φ = 48305329632.
The previous prime is 144915988949. The next prime is 144915988981. The reversal of 144915988968 is 869889519441.
144915988968 is a `hidden beast` number, since 1 + 4 + 491 + 59 + 8 + 89 + 6 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 101135448324 + 43780540644 = 318018^2 + 209238^2 .
It is a tau number, because it is divible by the number of its divisors (24).
It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 2012722069 = 144915988968 / (1 + 4 + 4 + 9 + 1 + 5 + 9 + 8 + 8 + 9 + 6 + 8).
It is a junction number, because it is equal to n+sod(n) for n = 144915988896 and 144915988905.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1006360963 + ... + 1006361106.
Almost surely, 2144915988968 is an apocalyptic number.
144915988968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
144915988968 is an abundant number, since it is smaller than the sum of its proper divisors (247564814682).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144915988968 is a wasteful number, since it uses less digits than its factorization.
144915988968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2012722081 (or 2012722074 counting only the distinct ones).
The product of its digits is 179159040, while the sum is 72.
The spelling of 144915988968 in words is "one hundred forty-four billion, nine hundred fifteen million, nine hundred eighty-eight thousand, nine hundred sixty-eight".
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