Base | Representation |
---|---|
bin | 100111000101001… |
… | …0100011011111100 |
3 | 10101101111100211120 |
4 | 1032022110123330 |
5 | 10141144443441 |
6 | 334042150540 |
7 | 44332050456 |
oct | 11612243374 |
9 | 3341440746 |
10 | 1311327996 |
11 | 613235150 |
12 | 3071b2450 |
13 | 17b8a3134 |
14 | c622d2d6 |
15 | 7a1cb966 |
hex | 4e2946fc |
1311327996 has 48 divisors (see below), whose sum is σ = 3348121728. Its totient is φ = 396158400.
The previous prime is 1311327977. The next prime is 1311328001. The reversal of 1311327996 is 6997231131.
1311327996 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×13113279962 = 3439162226186752032, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28686 + ... + 58698.
It is an arithmetic number, because the mean of its divisors is an integer number (69752536).
Almost surely, 21311327996 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1311327996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674060864).
1311327996 is an abundant number, since it is smaller than the sum of its proper divisors (2036793732).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1311327996 is a wasteful number, since it uses less digits than its factorization.
1311327996 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30362 (or 30360 counting only the distinct ones).
The product of its digits is 61236, while the sum is 42.
The square root of 1311327996 is about 36212.2630610129. The cubic root of 1311327996 is about 1094.5537949720.
It can be divided in two parts, 131132 and 7996, that added together give a triangular number (139128 = T527).
The spelling of 1311327996 in words is "one billion, three hundred eleven million, three hundred twenty-seven thousand, nine hundred ninety-six".
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