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1342236322431 = 32372831312517
BaseRepresentation
bin10011100010000011100…
…001001110101001111111
311202022112202102221101100
4103202003201032221333
5133442344444304211
62504340450344143
7165654603331554
oct23420341165177
94668482387340
101342236322431
1147826a459394
1219817428b053
1399759587cc4
1448d70b6aa2b
1524dabe01156
hex1388384ea7f

1342236322431 has 36 divisors (see below), whose sum is σ = 2016610405992. Its totient is φ = 860149485504.

The previous prime is 1342236322367. The next prime is 1342236322499.

1342236322431 is a `hidden beast` number, since 1 + 3 + 42 + 2 + 363 + 224 + 31 = 666.

1342236322431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1342236322431 - 26 = 1342236322367 is a prime.

It is a super-2 number, since 2×13422363224312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342236320431) 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, 366385 + ... + 1678901.

It is an arithmetic number, because the mean of its divisors is an integer number (56016955722).

Almost surely, 21342236322431 is an apocalyptic number.

1342236322431 is a deficient number, since it is larger than the sum of its proper divisors (674374083561).

1342236322431 is a wasteful number, since it uses less digits than its factorization.

1342236322431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312680 (or 1312640 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 1342236322431 in words is "one trillion, three hundred forty-two billion, two hundred thirty-six million, three hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 37 83 111 249 333 747 1369 3071 4107 9213 12321 27639 113627 340881 1022643 1312517 3937551 11812653 48563129 108938911 145689387 326816733 437068161 980450199 1796835773 4030739707 5390507319 12092219121 16171521957 36276657363 149137369159 447412107477 1342236322431