Search a number
-
+
1320996942720 = 273257313192707
BaseRepresentation
bin10011001110010001100…
…011011011001110000000
311200021201112210122210100
4103032101203123032000
5133120400204131340
62450505125002400
7164303351514000
oct23162143331600
94607645718710
101320996942720
1146a260377014
12194027253400
13977531ab7c0
1447d18024000
152456746b830
hex133918db380

1320996942720 has 1536 divisors, whose sum is σ = 6032557440000. Its totient is φ = 263949041664.

The previous prime is 1320996942697. The next prime is 1320996942743. The reversal of 1320996942720 is 272496990231.

1320996942720 is a `hidden beast` number, since 1 + 3 + 209 + 9 + 6 + 9 + 427 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1320996942697) and next prime (1320996942743).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 487991607 + ... + 487994313.

It is an arithmetic number, because the mean of its divisors is an integer number (3927446250).

Almost surely, 21320996942720 is an apocalyptic number.

1320996942720 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 1320996942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016278720000).

1320996942720 is an abundant number, since it is smaller than the sum of its proper divisors (4711560497280).

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

1320996942720 is a wasteful number, since it uses less digits than its factorization.

1320996942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1320996942720 in words is "one trillion, three hundred twenty billion, nine hundred ninety-six million, nine hundred forty-two thousand, seven hundred twenty".