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144401304404 = 2272736741349
BaseRepresentation
bin1000011001111011111…
…1010000101101010100
3111210201120112022100102
42012132333100231110
54331213213220104
6150200445033232
713301253556400
oct2063677205524
9453646468312
10144401304404
11562708542a5
1223b9b855818
1310803690926
146dbbda6100
153b52316a1e
hex219efd0b54

144401304404 has 18 divisors (see below), whose sum is σ = 293959798650. Its totient is φ = 61886273232.

The previous prime is 144401304401. The next prime is 144401304461. The reversal of 144401304404 is 404403104441.

It can be written as a sum of positive squares in only one way, i.e., 129274764304 + 15126540100 = 359548^2 + 122990^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144401304401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 368370479 + ... + 368370870.

It is an arithmetic number, because the mean of its divisors is an integer number (16331099925).

Almost surely, 2144401304404 is an apocalyptic number.

144401304404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144401304404 is an abundant number, since it is smaller than the sum of its proper divisors (149558494246).

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

144401304404 is a wasteful number, since it uses less digits than its factorization.

144401304404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736741367 (or 736741358 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 144401304404 its reverse (404403104441), we get a palindrome (548804408845).

The spelling of 144401304404 in words is "one hundred forty-four billion, four hundred one million, three hundred four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 736741349 1473482698 2946965396 5157189443 10314378886 20628757772 36100326101 72200652202 144401304404