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1344322234431 = 321123733363667
BaseRepresentation
bin10011100011111111110…
…110010110100000111111
311202111221010110020201100
4103203333312112200333
5134011132443000211
62505323442544143
7166060362311631
oct23437766264077
94674833406640
101344322234431
1147913a944a00
12198656968053
13999cc782667
14490cbbcaa51
1524e800d4156
hex138ffd9683f

1344322234431 has 36 divisors (see below), whose sum is σ = 2192059714936. Its totient is φ = 792720704160.

The previous prime is 1344322234391. The next prime is 1344322234457.

1344322234431 is a `hidden beast` number, since 134 + 43 + 2 + 22 + 34 + 431 = 666.

1344322234431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1344322234431 - 219 = 1344321710143 is a prime.

It is a super-2 number, since 2×13443222344312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344322234531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16641541 + ... + 16722126.

Almost surely, 21344322234431 is an apocalyptic number.

1344322234431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1344322234431 is a deficient number, since it is larger than the sum of its proper divisors (847737480505).

1344322234431 is a wasteful number, since it uses less digits than its factorization.

1344322234431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33363732 (or 33363718 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 1344322234431 in words is "one trillion, three hundred forty-four billion, three hundred twenty-two million, two hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 33363667 100091001 300273003 367000337 1101001011 1234455679 3303003033 3703367037 4037003707 11110101111 12111011121 13579012469 36333033363 40737037407 122211112221 149369137159 448107411477 1344322234431