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1332340000032 = 25385716194331
BaseRepresentation
bin10011011000110101101…
…001110000010100100000
311201101000001202200012010
4103120311221300110200
5133312113020000112
62500022450032520
7165154425066636
oct23306551602440
94641001680163
101332340000032
11474051217948
12196271b78740
13988401cb232
14486b26b5356
15249cd1c263c
hex13635a70520

1332340000032 has 48 divisors (see below), whose sum is σ = 3501473687712. Its totient is φ = 443595087360.

The previous prime is 1332340000027. The next prime is 1332340000091. The reversal of 1332340000032 is 2300000432331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1332339999963 and 1332340000008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8014894 + ... + 8179437.

It is an arithmetic number, because the mean of its divisors is an integer number (72947368494).

Almost surely, 21332340000032 is an apocalyptic number.

1332340000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1332340000032 is an abundant number, since it is smaller than the sum of its proper divisors (2169133687680).

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

1332340000032 is a wasteful number, since it uses less digits than its factorization.

1332340000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16195201 (or 16195193 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1332340000032 its reverse (2300000432331), we get a palindrome (3632340432363).

The spelling of 1332340000032 in words is "one trillion, three hundred thirty-two billion, three hundred forty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 857 1714 2571 3428 5142 6856 10284 13712 20568 27424 41136 82272 16194331 32388662 48582993 64777324 97165986 129554648 194331972 259109296 388663944 518218592 777327888 1554655776 13878541667 27757083334 41635625001 55514166668 83271250002 111028333336 166542500004 222056666672 333085000008 444113333344 666170000016 1332340000032