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144444300000 = 2535571113237
BaseRepresentation
bin1000011010000110001…
…1010001101011100000
3111210211120102201012220
42012201203101223200
54331310220100000
6150205022351040
713302315202110
oct2064143215340
9453746381186
10144444300000
1156293050550
1223bb212b480
131080c565b00
146dc3999040
153b55eab1a0
hex21a18d1ae0

144444300000 has 1728 divisors, whose sum is σ = 657110942208. Its totient is φ = 26956800000.

The previous prime is 144444299971. The next prime is 144444300017. The reversal of 144444300000 is 3444441.

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 287 ways as a sum of consecutive naturals, for example, 3903899982 + ... + 3903900018.

It is an arithmetic number, because the mean of its divisors is an integer number (380272536).

Almost surely, 2144444300000 is an apocalyptic number.

144444300000 is a gapful number since it is divisible by the number (10) 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 144444300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328555471104).

144444300000 is an abundant number, since it is smaller than the sum of its proper divisors (512666642208).

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

144444300000 is a wasteful number, since it uses less digits than its factorization.

144444300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144444300000 its reverse (3444441), we get a palindrome (144447744441).

It can be divided in two parts, 144444 and 300000, that added together give a palindrome (444444).

The spelling of 144444300000 in words is "one hundred forty-four billion, four hundred forty-four million, three hundred thousand".