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1322042242432 = 2710796527617
BaseRepresentation
bin10011001111001111110…
…110111011010110000000
311200101102101201101102111
4103033033312323112000
5133130020303224212
62451200545225104
7164341303435012
oct23171766732600
94611371641374
101322042242432
1146a74742017a
12194279332194
139788b919842
1447db6ba41b2
15245c90e9ea7
hex133cfdbb580

1322042242432 has 32 divisors (see below), whose sum is σ = 2658370599720. Its totient is φ = 654843346944.

The previous prime is 1322042242373. The next prime is 1322042242459. The reversal of 1322042242432 is 2342422402231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13220422424322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322042242394 and 1322042242403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48250113 + ... + 48277504.

Almost surely, 21322042242432 is an apocalyptic number.

It is an amenable number.

1322042242432 is an abundant number, since it is smaller than the sum of its proper divisors (1336328357288).

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

1322042242432 is an equidigital number, since it uses as much as digits as its factorization.

1322042242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96527738 (or 96527726 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 1322042242432 its reverse (2342422402231), we get a palindrome (3664464644663).

The spelling of 1322042242432 in words is "one trillion, three hundred twenty-two billion, forty-two million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 6848 13696 96527617 193055234 386110468 772220936 1544441872 3088883744 6177767488 10328455019 12355534976 20656910038 41313820076 82627640152 165255280304 330510560608 661021121216 1322042242432