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144153142122105 = 3253786578463737
BaseRepresentation
bin100000110001101101000100…
…110101000101011001111001
3200220101220110022212002121200
4200301231010311011121321
5122343301113340401410
61230331012252124413
742235502146615254
oct4061550465053171
9626356408762550
10144153142122105
1141a28005732896
1214201a17766709
136258776a4101c
14278509941c09b
15119eb49d403c0
hex831b44d45679

144153142122105 has 24 divisors (see below), whose sum is σ = 256618566519432. Its totient is φ = 74803792667904.

The previous prime is 144153142122103. The next prime is 144153142122113. The reversal of 144153142122105 is 501221241351441.

144153142122105 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 5 + 3 + 1 + 421 + 221 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42844146255936 + 101308995866169 = 6545544^2 + 10065237^2 .

It is not a de Polignac number, because 144153142122105 - 21 = 144153142122103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144153142122105.

It is not an unprimeable number, because it can be changed into a prime (144153142122103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43289230204 + ... + 43289233533.

It is an arithmetic number, because the mean of its divisors is an integer number (10692440271643).

Almost surely, 2144153142122105 is an apocalyptic number.

144153142122105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144153142122105 is a deficient number, since it is larger than the sum of its proper divisors (112465424397327).

144153142122105 is a wasteful number, since it uses less digits than its factorization.

144153142122105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86578463785 (or 86578463782 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 144153142122105 its reverse (501221241351441), we get a palindrome (645374383473546).

The spelling of 144153142122105 in words is "one hundred forty-four trillion, one hundred fifty-three billion, one hundred forty-two million, one hundred twenty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 86578463737 259735391211 432892318685 779206173633 1298676956055 3203403158269 3896030868165 9610209474807 16017015791345 28830628424421 48051047374035 144153142122105