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144144007488 = 2635131722467
BaseRepresentation
bin1000011000111110100…
…1110000000101000000
3111210001122101021100000
42012033221300011000
54330201331214423
6150115134200000
713262010563535
oct2061751600500
9453048337300
10144144007488
1156149597318
1223b29653000
1310792294b30
146d95b4ad8c
153b39940843
hex218fa70140

144144007488 has 504 divisors, whose sum is σ = 490361845792. Its totient is φ = 41726140416.

The previous prime is 144144007481. The next prime is 144144007523. The reversal of 144144007488 is 884700441441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144144007481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58427631 + ... + 58430097.

Almost surely, 2144144007488 is an apocalyptic number.

144144007488 is a gapful number since it is divisible by the number (18) 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 144144007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245180922896).

144144007488 is an abundant number, since it is smaller than the sum of its proper divisors (346217838304).

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

144144007488 is a wasteful number, since it uses less digits than its factorization.

144144007488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 144144007488 in words is "one hundred forty-four billion, one hundred forty-four million, seven thousand, four hundred eighty-eight".