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144041042331312 = 24371988992155333
BaseRepresentation
bin100000110000000100101011…
…001010010100011010110000
3200220000012002220022200210020
4200300010223022110122300
5122334432023314100222
61230203312532403440
742224423210251620
oct4060045312243260
9626005086280706
10144041042331312
1141994510287895
12141a4151776580
13624b0204ca579
14277d8a3404880
15119bc8872265c
hex83012b2946b0

144041042331312 has 80 divisors (see below), whose sum is σ = 425266365139200. Its totient is φ = 41154357517056.

The previous prime is 144041042331311. The next prime is 144041042331359. The reversal of 144041042331312 is 213133240140441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144041042331311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65752398 + ... + 67907730.

It is an arithmetic number, because the mean of its divisors is an integer number (5315829564240).

Almost surely, 2144041042331312 is an apocalyptic number.

144041042331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144041042331312 is an abundant number, since it is smaller than the sum of its proper divisors (281225322807888).

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

144041042331312 is a wasteful number, since it uses less digits than its factorization.

144041042331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354250 (or 2354244 counting only the distinct ones).

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

Adding to 144041042331312 its reverse (213133240140441), we get a palindrome (357174282471753).

The spelling of 144041042331312 in words is "one hundred forty-four trillion, forty-one billion, forty-two million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 198899 397798 596697 795596 1193394 1392293 1591192 2155333 2386788 2784586 3182384 4176879 4310666 4773576 5569172 6465999 8353758 8621332 9547152 11138344 12931998 15087331 16707516 17242664 22276688 25863996 30174662 33415032 34485328 45261993 51727992 60349324 66830064 90523986 103455984 120698648 181047972 241397296 362095944 724191888 428693578367 857387156734 1286080735101 1714774313468 2572161470202 3000855048569 3429548626936 5144322940404 6001710097138 6859097253872 9002565145707 10288645880808 12003420194276 18005130291414 20577291761616 24006840388552 36010260582828 48013680777104 72020521165656 144041042331312