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144300300144 = 2437112133747157
BaseRepresentation
bin1000011001100011110…
…1111101011101110000
3111210110112110202112220
42012120331331131300
54331011334101034
6150142440121040
713265616212340
oct2063075753560
9453415422486
10144300300144
1156219837300
1223b71a66180
13107b8787cb0
146dac7d2d20
153b48514749
hex2198f7d770

144300300144 has 960 divisors, whose sum is σ = 532320595968. Its totient is φ = 32736337920.

The previous prime is 144300300091. The next prime is 144300300161. The reversal of 144300300144 is 441003003441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 919110114 + ... + 919110270.

Almost surely, 2144300300144 is an apocalyptic number.

144300300144 is a gapful number since it is divisible by the number (14) 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 144300300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266160297984).

144300300144 is an abundant number, since it is smaller than the sum of its proper divisors (388020295824).

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

144300300144 is a wasteful number, since it uses less digits than its factorization.

144300300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144300300144 its reverse (441003003441), we get a palindrome (585303303585).

It can be divided in two parts, 144300 and 300144, that added together give a palindrome (444444).

The spelling of 144300300144 in words is "one hundred forty-four billion, three hundred million, three hundred thousand, one hundred forty-four".