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144279408 = 243713172967
BaseRepresentation
bin10001001100110…
…00011101110000
3101001111011010210
420212120131300
5243413420113
622152224120
73401232450
oct1046303560
9331434123
10144279408
1174495289
124039b040
1323b78140
1415239d60
15c9ee6c3
hex8998770

144279408 has 320 divisors, whose sum is σ = 509967360. Its totient is φ = 34062336.

The previous prime is 144279403. The next prime is 144279419. The reversal of 144279408 is 804972441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144279403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2153391 + ... + 2153457.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648).

Almost surely, 2144279408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144279408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

144279408 is an abundant number, since it is smaller than the sum of its proper divisors (365687952).

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

144279408 is a wasteful number, since it uses less digits than its factorization.

144279408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 144279408 is about 12011.6363581321. The cubic root of 144279408 is about 524.4870672744.

The spelling of 144279408 in words is "one hundred forty-four million, two hundred seventy-nine thousand, four hundred eight".