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144017664 = 283724389
BaseRepresentation
bin10001001010110…
…00100100000000
3101000222212002120
420211120210000
5243332031124
622142444240
73366062400
oct1045304400
9330885076
10144017664
117432666a
1240293680
1323ab5c6b
14151ac800
15c99bd79
hex8958900

144017664 has 216 divisors, whose sum is σ = 461371680. Its totient is φ = 39739392.

The previous prime is 144017623. The next prime is 144017669. The reversal of 144017664 is 466710441.

It is not an unprimeable number, because it can be changed into a prime (144017669) 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, 1618132 + ... + 1618220.

It is an arithmetic number, because the mean of its divisors is an integer number (2135980).

Almost surely, 2144017664 is an apocalyptic number.

144017664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230685840).

144017664 is an abundant number, since it is smaller than the sum of its proper divisors (317354016).

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

144017664 is an equidigital number, since it uses as much as digits as its factorization.

144017664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 144017664 is about 12000.7359774307. The cubic root of 144017664 is about 524.1697098062.

The spelling of 144017664 in words is "one hundred forty-four million, seventeen thousand, six hundred sixty-four".