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1330134333440 = 21151127914231
BaseRepresentation
bin10011010110110010001…
…011110011100000000000
311201011022100102012102212
4103112302023303200000
5133243103342132230
62455015535001252
7165045653200043
oct23266213634000
94634270365385
101330134333440
1147311a1779a0
12195957369228
139857b264583
14485437a0c5a
15248ee736895
hex135b22f3800

1330134333440 has 192 divisors, whose sum is σ = 3483753960960. Its totient is φ = 483397632000.

The previous prime is 1330134333427. The next prime is 1330134333449. The reversal of 1330134333440 is 443334310331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1330134333397 and 1330134333406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330134333449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 314376125 + ... + 314380355.

It is an arithmetic number, because the mean of its divisors is an integer number (18144551880).

Almost surely, 21330134333440 is an apocalyptic number.

1330134333440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330134333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741876980480).

1330134333440 is an abundant number, since it is smaller than the sum of its proper divisors (2153619627520).

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

1330134333440 is a wasteful number, since it uses less digits than its factorization.

1330134333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 1330134333440 its reverse (443334310331), we get a palindrome (1773468643771).

The spelling of 1330134333440 in words is "one trillion, three hundred thirty billion, one hundred thirty-four million, three hundred thirty-three thousand, four hundred forty".