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144442240124 = 227131269731253
BaseRepresentation
bin1000011010000101101…
…1011010110001111100
3111210211102120001121012
42012201123122301330
54331304203140444
6150204510254352
713302261532460
oct2064133326174
9453742501535
10144442240124
1156291973976
1223bb14b73b8
131080bcc4350
146dc35c04a0
153b55c00b9e
hex21a16dac7c

144442240124 has 48 divisors (see below), whose sum is σ = 311140820928. Its totient is φ = 57135656448.

The previous prime is 144442240121. The next prime is 144442240157. The reversal of 144442240124 is 421042244441.

144442240124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442240121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4606082 + ... + 4637334.

It is an arithmetic number, because the mean of its divisors is an integer number (6482100436).

Almost surely, 2144442240124 is an apocalyptic number.

144442240124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144442240124 is an abundant number, since it is smaller than the sum of its proper divisors (166698580804).

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

144442240124 is a wasteful number, since it uses less digits than its factorization.

144442240124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43974 (or 43972 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 144442240124 its reverse (421042244441), we get a palindrome (565484484565).

The spelling of 144442240124 in words is "one hundred forty-four billion, four hundred forty-two million, two hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 12697 25394 31253 50788 62506 88879 125012 165061 177758 218771 330122 355516 406289 437542 660244 812578 875084 1155427 1625156 2310854 2844023 4621708 5688046 11376092 396819341 793638682 1587277364 2777735387 5158651433 5555470774 10317302866 11110941548 20634605732 36110560031 72221120062 144442240124