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144441131003412 = 22312036760916951
BaseRepresentation
bin100000110101111001010010…
…010011011110111000010100
3200221102102210202202002000220
4200311321102103132320110
5122413010414014102122
61231111201201234340
742265345606665105
oct4065712223367024
9627372722662026
10144441131003412
1142029159973911
12142497aa6329b0
1362799813142b9
142794db928a3ac
1511a73a2cd425c
hex835e524dee14

144441131003412 has 12 divisors (see below), whose sum is σ = 337029305674656. Its totient is φ = 48147043667800.

The previous prime is 144441131003383. The next prime is 144441131003419. The reversal of 144441131003412 is 214300131144441.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144441131003419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6018380458464 + ... + 6018380458487.

It is an arithmetic number, because the mean of its divisors is an integer number (28085775472888).

Almost surely, 2144441131003412 is an apocalyptic number.

144441131003412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144441131003412 is an abundant number, since it is smaller than the sum of its proper divisors (192588174671244).

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

144441131003412 is a wasteful number, since it uses less digits than its factorization.

144441131003412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12036760916958 (or 12036760916956 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 144441131003412 its reverse (214300131144441), we get a palindrome (358741262147853).

The spelling of 144441131003412 in words is "one hundred forty-four trillion, four hundred forty-one billion, one hundred thirty-one million, three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 12036760916951 24073521833902 36110282750853 48147043667804 72220565501706 144441131003412