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144441561756 = 22392271304519
BaseRepresentation
bin1000011010000101100…
…0110101001010011100
3111210211101021121001110
42012201120311022130
54331304014434011
6150204443542020
713302253005642
oct2064130651234
9453741247043
10144441561756
1156291550238
1223bb122a910
131080bb1764b
146dc3485192
153b55b19ba6
hex21a163529c

144441561756 has 24 divisors (see below), whose sum is σ = 337067095680. Its totient is φ = 48141932272.

The previous prime is 144441561751. The next prime is 144441561779. The reversal of 144441561756 is 657165144441.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144441561751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541536 + ... + 762983.

It is an arithmetic number, because the mean of its divisors is an integer number (14044462320).

Almost surely, 2144441561756 is an apocalyptic number.

It is an amenable number.

144441561756 is an abundant number, since it is smaller than the sum of its proper divisors (192625533924).

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

144441561756 is a wasteful number, since it uses less digits than its factorization.

144441561756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313753 (or 1313751 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

It can be divided in two parts, 14444 and 1561756, that added together give a triangular number (1576200 = T1775).

The spelling of 144441561756 in words is "one hundred forty-four billion, four hundred forty-one million, five hundred sixty-one thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 9227 18454 27681 36908 55362 110724 1304519 2609038 3913557 5218076 7827114 15654228 12036796813 24073593626 36110390439 48147187252 72220780878 144441561756