Base | Representation |
---|---|
bin | 100111101011010… |
… | …1111011000001000 |
3 | 10102210012011100100 |
4 | 1033112233120020 |
5 | 10211312030123 |
6 | 340035405400 |
7 | 44664245535 |
oct | 11726573010 |
9 | 3383164310 |
10 | 1331361288 |
11 | 623578494 |
12 | 311a53860 |
13 | 182a9875a |
14 | c8b65d8c |
15 | 7bd37643 |
hex | 4f5af608 |
1331361288 has 48 divisors (see below), whose sum is σ = 3659600880. Its totient is φ = 437161824.
The previous prime is 1331361287. The next prime is 1331361289. The reversal of 1331361288 is 8821631331.
1331361288 is a `hidden beast` number, since 1 + 3 + 31 + 3 + 612 + 8 + 8 = 666.
1331361288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1331361287) and next prime (1331361289).
It is a super-4 number, since 4×13313612884 (a number of 38 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (1331361281) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133170 + ... + 142817.
It is an arithmetic number, because the mean of its divisors is an integer number (76241685).
Almost surely, 21331361288 is an apocalyptic number.
1331361288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
1331361288 is an abundant number, since it is smaller than the sum of its proper divisors (2328239592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331361288 is a wasteful number, since it uses less digits than its factorization.
1331361288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 276066 (or 276059 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 1331361288 is about 36487.8238320676. The cubic root of 1331361288 is about 1100.0995193707.
The spelling of 1331361288 in words is "one billion, three hundred thirty-one million, three hundred sixty-one thousand, two hundred eighty-eight".
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