| Base | Representation |
|---|---|
| bin | 100011011010000010001010… |
| … | …1100000101011000011000000 |
| 3 | 1111211201111111101100202011000 |
| 4 | 1012310010111200223003000 |
| 5 | 311310123313022440222 |
| 6 | 3022214100321452000 |
| 7 | 122412615231441021 |
| oct | 10664042540530300 |
| 9 | 1454644441322130 |
| 10 | 311441324421312 |
| 11 | 90264584417138 |
| 12 | 2ab1b4b94a1000 |
| 13 | 104a1a387253b7 |
| 14 | 56c9baa5b8c48 |
| 15 | 260148480e9ac |
| hex | 11b411582b0c0 |
311441324421312 has 448 divisors, whose sum is σ = 1003895491824000. Its totient is φ = 94241061863424.
The previous prime is 311441324421263. The next prime is 311441324421313. The reversal of 311441324421312 is 213124423144113.
311441324421312 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 413 + 24 + 4 + 213 + 1 + 2 = 666.
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 (311441324421313) 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 63 ways as a sum of consecutive naturals, for example, 832123114 + ... + 832497302.
Almost surely, 2311441324421312 is an apocalyptic number.
311441324421312 is a gapful number since it is divisible by the number (32) 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 311441324421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501947745912000).
311441324421312 is an abundant number, since it is smaller than the sum of its proper divisors (692454167402688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
311441324421312 is a wasteful number, since it uses less digits than its factorization.
311441324421312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 375233 (or 375217 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
Adding to 311441324421312 its reverse (213124423144113), we get a palindrome (524565747565425).
The spelling of 311441324421312 in words is "three hundred eleven trillion, four hundred forty-one billion, three hundred twenty-four million, four hundred twenty-one thousand, three hundred twelve".
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