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2144330496 = 28347111779
BaseRepresentation
bin111111111001111…
…1110001100000000
312112102221021110000
41333303332030000
513342422033441
6552440240000
7104065336260
oct17763761400
95472837400
102144330496
11a00467270
124ba170000
1328233c819
14164b097a0
15c83c22b6
hex7fcfe300

2144330496 has 720 divisors, whose sum is σ = 8547517440. Its totient is φ = 517570560.

The previous prime is 2144330473. The next prime is 2144330497. The reversal of 2144330496 is 6940334412.

It is a happy number.

2144330496 is a `hidden beast` number, since 214 + 433 + 0 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2144330496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144330497) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27143385 + ... + 27143463.

It is an arithmetic number, because the mean of its divisors is an integer number (11871552).

Almost surely, 22144330496 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 2144330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273758720).

2144330496 is an abundant number, since it is smaller than the sum of its proper divisors (6403186944).

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

2144330496 is a wasteful number, since it uses less digits than its factorization.

2144330496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2144330496 is about 46306.9162868788. The cubic root of 2144330496 is about 1289.5273985403.

The spelling of 2144330496 in words is "two billion, one hundred forty-four million, three hundred thirty thousand, four hundred ninety-six".