Base | Representation |
---|---|
bin | 10001001011110… |
… | …11010100010100 |
3 | 101001021002101000 |
4 | 20211323110110 |
5 | 243401110040 |
6 | 22145503300 |
7 | 3400224414 |
oct | 1045732424 |
9 | 331232330 |
10 | 144160020 |
11 | 74413614 |
12 | 40341b30 |
13 | 23b359b4 |
14 | 15208644 |
15 | c9c9130 |
hex | 897b514 |
144160020 has 96 divisors (see below), whose sum is σ = 450777600. Its totient is φ = 38247552.
The previous prime is 144159997. The next prime is 144160057. The reversal of 144160020 is 20061441.
144160020 is a `hidden beast` number, since 1 + 4 + 41 + 600 + 20 = 666.
It is a super-2 number, since 2×1441600202 = 41564222732800800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 144159975 and 144160002.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128502 + ... + 129618.
It is an arithmetic number, because the mean of its divisors is an integer number (4695600).
Almost surely, 2144160020 is an apocalyptic number.
144160020 is a gapful number since it is divisible by the number (10) 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 144160020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225388800).
144160020 is an abundant number, since it is smaller than the sum of its proper divisors (306617580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144160020 is a wasteful number, since it uses less digits than its factorization.
144160020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 144160020 is about 12006.6656487136. The cubic root of 144160020 is about 524.3423602268.
The spelling of 144160020 in words is "one hundred forty-four million, one hundred sixty thousand, twenty".
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