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144226959360 = 2143511311721
BaseRepresentation
bin1000011001010010011…
…0001100000000000000
3111210021102110122220120
42012110212030000000
54330334100144420
6150131300140240
713264035632661
oct2062446140000
9453242418816
10144226959360
11561913a4290
1223b51397680
13107a6519993
146da2b81368
153b41d78d40
hex219498c000

144226959360 has 480 divisors, whose sum is σ = 520010717184. Its totient is φ = 33816576000.

The previous prime is 144226959307. The next prime is 144226959361. The reversal of 144226959360 is 63959622441.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (144226959361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83803300 + ... + 83805020.

Almost surely, 2144226959360 is an apocalyptic number.

144226959360 is a gapful number since it is divisible by the number (10) 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 144226959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260005358592).

144226959360 is an abundant number, since it is smaller than the sum of its proper divisors (375783757824).

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

144226959360 is a wasteful number, since it uses less digits than its factorization.

144226959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 144226959360 in words is "one hundred forty-four billion, two hundred twenty-six million, nine hundred fifty-nine thousand, three hundred sixty".