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144439236864 = 28321310346819
BaseRepresentation
bin1000011010000100111…
…1111101100100000000
3111210211012220110220100
42012201033331210000
54331302421034424
6150204322042400
713302224153556
oct2064117754400
9453735813810
10144439236864
115629020253a
1223bb04a9400
131080b4b2380
146dc303bbd6
153b5580adc9
hex21a13fd900

144439236864 has 216 divisors, whose sum is σ = 452852778560. Its totient is φ = 44010418176.

The previous prime is 144439236839. The next prime is 144439236871. The reversal of 144439236864 is 468632934441.

144439236864 is a `hidden beast` number, since 1 + 4 + 443 + 92 + 36 + 86 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 144439236864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3061647 + ... + 3108465.

Almost surely, 2144439236864 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 144439236864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226426389280).

144439236864 is an abundant number, since it is smaller than the sum of its proper divisors (308413541696).

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

144439236864 is a wasteful number, since it uses less digits than its factorization.

144439236864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46957 (or 46940 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 144439236864 in words is "one hundred forty-four billion, four hundred thirty-nine million, two hundred thirty-six thousand, eight hundred sixty-four".