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144828082944 = 283437188767
BaseRepresentation
bin1000011011100001101…
…1010010101100000000
3111211211022120220110000
42012320123102230000
54333101442123234
6150311052240000
713314655251606
oct2067033225400
9454738526400
10144828082944
115646a74a336
122409a770000
1310870c19acc
14701c93b876
153b79a19899
hex21b86d2b00

144828082944 has 180 divisors, whose sum is σ = 443525139904. Its totient is φ = 46971021312.

The previous prime is 144828082879. The next prime is 144828082991. The reversal of 144828082944 is 449280828441.

144828082944 is a `hidden beast` number, since 1 + 4 + 482 + 80 + 82 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 672849 + ... + 861615.

Almost surely, 2144828082944 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 144828082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221762569952).

144828082944 is an abundant number, since it is smaller than the sum of its proper divisors (298697056960).

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

144828082944 is an equidigital number, since it uses as much as digits as its factorization.

144828082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188832 (or 188809 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 144828082944 in words is "one hundred forty-four billion, eight hundred twenty-eight million, eighty-two thousand, nine hundred forty-four".