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144243869952 = 283731373577
BaseRepresentation
bin1000011001010110011…
…0101100100100000000
3111210022121021210212210
42012111212230210000
54330402412314302
6150133102422120
713264332444000
oct2062546544400
9453277253783
10144243869952
115619a9a4486
1223b56b91940
13107a9b8ab50
146da5104000
153b435b966c
hex21959ac900

144243869952 has 576 divisors, whose sum is σ = 489585420800. Its totient is φ = 37456183296.

The previous prime is 144243869947. The next prime is 144243869963. The reversal of 144243869952 is 259968342441.

It is a junction number, because it is equal to n+sod(n) for n = 144243869892 and 144243869901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249989088 + ... + 249989664.

Almost surely, 2144243869952 is an apocalyptic number.

144243869952 is a gapful number since it is divisible by the number (12) 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 144243869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244792710400).

144243869952 is an abundant number, since it is smaller than the sum of its proper divisors (345341550848).

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

144243869952 is an equidigital number, since it uses as much as digits as its factorization.

144243869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 675 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The spelling of 144243869952 in words is "one hundred forty-four billion, two hundred forty-three million, eight hundred sixty-nine thousand, nine hundred fifty-two".