| Base | Representation |
|---|---|
| bin | 1001000111011001101… |
| … | …10101110011110000000 |
| 3 | 1002221110020112102020120 |
| 4 | 10203230312232132000 |
| 5 | 20112424110230100 |
| 6 | 355515355340240 |
| 7 | 31425446044443 |
| oct | 4435466563600 |
| 9 | 1087406472216 |
| 10 | 313211414400 |
| 11 | 1109177504a5 |
| 12 | 50851a51680 |
| 13 | 236c6c53191 |
| 14 | 112339c165a |
| 15 | 82324720a0 |
| hex | 48ecdae780 |
313211414400 has 384 divisors, whose sum is σ = 1069292275200. Its totient is φ = 80486031360.
The previous prime is 313211414387. The next prime is 313211414401. The reversal of 313211414400 is 4414112313.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×3132114144002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (313211414401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229122517 + ... + 229123883.
It is an arithmetic number, because the mean of its divisors is an integer number (2784615300).
Almost surely, 2313211414400 is an apocalyptic number.
313211414400 is a gapful number since it is divisible by the number (30) 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 313211414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534646137600).
313211414400 is an abundant number, since it is smaller than the sum of its proper divisors (756080860800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313211414400 is a wasteful number, since it uses less digits than its factorization.
313211414400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2246 (or 2229 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
Adding to 313211414400 its reverse (4414112313), we get a palindrome (317625526713).
The spelling of 313211414400 in words is "three hundred thirteen billion, two hundred eleven million, four hundred fourteen thousand, four hundred".
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