Search a number
-
+
144304142110332 = 22317869167296871
BaseRepresentation
bin100000110011111001101101…
…001000010100111001111100
3200220221100012202222021110020
4200303321231020110321330
5122403234340340012312
61230524224022012140
742252426110421141
oct4063715510247174
9626840182867406
10144304142110332
1141a86052246996
1214227139277050
136269a8c525199
14278c5019163c8
1511a3a365ec78c
hex833e6d214e7c

144304142110332 has 24 divisors (see below), whose sum is σ = 336711554239872. Its totient is φ = 48101110801200.

The previous prime is 144304142110283. The next prime is 144304142110357. The reversal of 144304142110332 is 233011241403441.

It is a happy number.

144304142110332 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 2×1443041421103322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144304142110293 and 144304142110302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31504144 + ... + 35792727.

It is an arithmetic number, because the mean of its divisors is an integer number (14029648093328).

Almost surely, 2144304142110332 is an apocalyptic number.

144304142110332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144304142110332 is an abundant number, since it is smaller than the sum of its proper divisors (192407412129540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144304142110332 is a wasteful number, since it uses less digits than its factorization.

144304142110332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67475569 (or 67475567 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 144304142110332 its reverse (233011241403441), we get a palindrome (377315383513773).

The spelling of 144304142110332 in words is "one hundred forty-four trillion, three hundred four billion, one hundred forty-two million, one hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 178691 357382 536073 714764 1072146 2144292 67296871 134593742 201890613 269187484 403781226 807562452 12025345175861 24050690351722 36076035527583 48101380703444 72152071055166 144304142110332