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144285728730 = 2351113373732437
BaseRepresentation
bin1000011001100000011…
…0010111111111011010
3111210102112001110022220
42012120012113333122
54330444121304410
6150141155524510
713265351313153
oct2063006277732
9453375043286
10144285728730
1156211594610
1223b68bb9736
13107b5755760
146daa8bc92a
153b470d7070
hex2198197fda

144285728730 has 256 divisors, whose sum is σ = 419112562176. Its totient is φ = 31317995520.

The previous prime is 144285728689. The next prime is 144285728749. The reversal of 144285728730 is 37827582441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59205072 + ... + 59207508.

It is an arithmetic number, because the mean of its divisors is an integer number (1637158446).

Almost surely, 2144285728730 is an apocalyptic number.

144285728730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144285728730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209556281088).

144285728730 is an abundant number, since it is smaller than the sum of its proper divisors (274826833446).

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

144285728730 is a wasteful number, since it uses less digits than its factorization.

144285728730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881.

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 144285728730 in words is "one hundred forty-four billion, two hundred eighty-five million, seven hundred twenty-eight thousand, seven hundred thirty".