Search a number
-
+
144101144203042 = 2137324432347711
BaseRepresentation
bin100000110000111100101001…
…100000110000111100100010
3200220012221020111121010021111
4200300330221200300330202
5122341423120403444132
61230251052440213534
742231651454605505
oct4060745140607442
9626187214533244
10144101144203042
1141a07a52214664
12141b392576a2aa
1362538ab0a5190
14278276561513c
15119d604d99647
hex830f29830f22

144101144203042 has 48 divisors (see below), whose sum is σ = 236544060630528. Its totient is φ = 65449046183040.

The previous prime is 144101144203039. The next prime is 144101144203147. The reversal of 144101144203042 is 240302441101441.

It is a junction number, because it is equal to n+sod(n) for n = 144101144202995 and 144101144203013.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60205567 + ... + 62553277.

It is an arithmetic number, because the mean of its divisors is an integer number (4928001263136).

Almost surely, 2144101144203042 is an apocalyptic number.

144101144203042 is a deficient number, since it is larger than the sum of its proper divisors (92442916427486).

144101144203042 is a wasteful number, since it uses less digits than its factorization.

144101144203042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348315 (or 2348242 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 144101144203042 its reverse (240302441101441), we get a palindrome (384403585304483).

The spelling of 144101144203042 in words is "one hundred forty-four trillion, one hundred one billion, one hundred forty-four million, two hundred three thousand, forty-two".

Divisors: 1 2 13 26 73 146 443 886 949 1898 5329 5759 10658 11518 32339 64678 69277 138554 420407 840814 2347711 2360747 4695422 4721494 30520243 30689711 61040486 61379422 171382903 342765806 1040035973 2080071946 2227977739 4455955478 12510951919 13520467649 25021903838 27040935298 75922626029 151845252058 162642374947 325284749894 986994138377 1973988276754 5542351700117 11084703400234 72050572101521 144101144203042