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144320111312 = 2413693846689
BaseRepresentation
bin1000011001101000100…
…1100010001011010000
3111210111220202021100212
42012122021202023100
54331031422030222
6150144424503252
713266246464006
oct2063211421320
9453456667325
10144320111312
1156229a38773
1223b7861ab28
13107bc903490
146db12aca76
153b4a1296e2
hex219a2622d0

144320111312 has 20 divisors (see below), whose sum is σ = 301129463460. Its totient is φ = 66609282048.

The previous prime is 144320111311. The next prime is 144320111393. The reversal of 144320111312 is 213111023441.

It can be written as a sum of positive squares in 2 ways, for example, as 77671460416 + 66648650896 = 278696^2 + 258164^2 .

It is a super-2 number, since 2×1443201113122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144320111311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346923137 + ... + 346923552.

It is an arithmetic number, because the mean of its divisors is an integer number (15056473173).

Almost surely, 2144320111312 is an apocalyptic number.

It is an amenable number.

144320111312 is an abundant number, since it is smaller than the sum of its proper divisors (156809352148).

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

144320111312 is a wasteful number, since it uses less digits than its factorization.

144320111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693846710 (or 693846704 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 144320111312 its reverse (213111023441), we get a palindrome (357431134753).

The spelling of 144320111312 in words is "one hundred forty-four billion, three hundred twenty million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 693846689 1387693378 2775386756 5550773512 9020006957 11101547024 18040013914 36080027828 72160055656 144320111312