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144065790 = 234511192337
BaseRepresentation
bin10001001011001…
…00010011111110
3101001002022010000
420211210103332
5243340101130
622143455130
73366352611
oct1045442376
9331068100
10144065790
1174359840
12402b74a6
1323b01b3b
14151c2178
15c9ab260
hex89644fe

144065790 has 320 divisors, whose sum is σ = 476720640. Its totient is φ = 30792960.

The previous prime is 144065737. The next prime is 144065797. The reversal of 144065790 is 97560441.

144065790 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 (144065797) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3893652 + ... + 3893688.

It is an arithmetic number, because the mean of its divisors is an integer number (1489752).

Almost surely, 2144065790 is an apocalyptic number.

144065790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144065790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238360320).

144065790 is an abundant number, since it is smaller than the sum of its proper divisors (332654850).

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

144065790 is a wasteful number, since it uses less digits than its factorization.

144065790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 144065790 is about 12002.7409369694. The cubic root of 144065790 is about 524.2280901034.

The spelling of 144065790 in words is "one hundred forty-four million, sixty-five thousand, seven hundred ninety".