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123440442401 = 37290168329
BaseRepresentation
bin111001011110110011…
…1111010110000100001
3102210121202222012020002
41302331213322300201
54010301223124101
6132412513025345
711626653306503
oct1627547726041
9383552865202
10123440442401
1148394a03451
121bb0bb55255
13b842c001c3
145d9023dd73
15332704ad6b
hex1cbd9fac21

123440442401 has 6 divisors (see below), whose sum is σ = 126866840310. Its totient is φ = 120104212896.

The previous prime is 123440442373. The next prime is 123440442413. The reversal of 123440442401 is 104244044321.

It can be written as a sum of positive squares in 3 ways, for example, as 101172341776 + 22268100625 = 318076^2 + 149225^2 .

It is not a de Polignac number, because 123440442401 - 234 = 106260573217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123440442481) 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, 45082796 + ... + 45085533.

It is an arithmetic number, because the mean of its divisors is an integer number (21144473385).

Almost surely, 2123440442401 is an apocalyptic number.

It is an amenable number.

123440442401 is a deficient number, since it is larger than the sum of its proper divisors (3426397909).

123440442401 is an frugal number, since it uses more digits than its factorization.

123440442401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90168403 (or 90168366 counting only the distinct ones).

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

Adding to 123440442401 its reverse (104244044321), we get a palindrome (227684486722).

The spelling of 123440442401 in words is "one hundred twenty-three billion, four hundred forty million, four hundred forty-two thousand, four hundred one".

Divisors: 1 37 1369 90168329 3336228173 123440442401