Base | Representation |
---|---|
bin | 100000101111101010101111… |
… | …111000110100010100011000 |
3 | 200212220112020211020022120112 |
4 | 200233222233320310110120 |
5 | 122334003020302421130 |
6 | 1230142430331543452 |
7 | 42222416312250215 |
oct | 4057525770642430 |
9 | 625815224208515 |
10 | 144013204342040 |
11 | 41983725486490 |
12 | 1419a8828bab88 |
13 | 6248505025577 |
14 | 277c3c2188b0c |
15 | 119b1a980e495 |
hex | 82faafe34518 |
144013204342040 has 256 divisors, whose sum is σ = 365565521018880. Its totient is φ = 50585356800000.
The previous prime is 144013204342027. The next prime is 144013204342057. The reversal of 144013204342040 is 40243402310441.
144013204342040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1440132043420402 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 144013204341988 and 144013204342006.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37689923330 + ... + 37689927150.
It is an arithmetic number, because the mean of its divisors is an integer number (1427990316480).
Almost surely, 2144013204342040 is an apocalyptic number.
144013204342040 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 144013204342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182782760509440).
144013204342040 is an abundant number, since it is smaller than the sum of its proper divisors (221552316676840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144013204342040 is a wasteful number, since it uses less digits than its factorization.
144013204342040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8266 (or 8262 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 32.
Adding to 144013204342040 its reverse (40243402310441), we get a palindrome (184256606652481).
The spelling of 144013204342040 in words is "one hundred forty-four trillion, thirteen billion, two hundred four million, three hundred forty-two thousand, forty".
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