| Base | Representation |
|---|---|
| bin | 10011000111110111110… |
| … | …001101011110101100000 |
| 3 | 11122121222102102111211220 |
| 4 | 103013313301223311200 |
| 5 | 133012310214202430 |
| 6 | 2443411015335040 |
| 7 | 163641111613026 |
| oct | 23076761536540 |
| 9 | 4577872374756 |
| 10 | 1314122022240 |
| 11 | 467352693555 |
| 12 | 192828981480 |
| 13 | 96bc8a8a811 |
| 14 | 47864d46716 |
| 15 | 242b3b0d110 |
| hex | 131f7c6bd60 |
1314122022240 has 384 divisors, whose sum is σ = 4471240435200. Its totient is φ = 323339304960.
The previous prime is 1314122022211. The next prime is 1314122022271. The reversal of 1314122022240 is 422202214131.
It is a super-2 number, since 2×13141220222402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 1314122022240.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246410614 + ... + 246415946.
It is an arithmetic number, because the mean of its divisors is an integer number (11643855300).
Almost surely, 21314122022240 is an apocalyptic number.
1314122022240 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 1314122022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235620217600).
1314122022240 is an abundant number, since it is smaller than the sum of its proper divisors (3157118412960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1314122022240 is a wasteful number, since it uses less digits than its factorization.
1314122022240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6070 (or 6062 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
Adding to 1314122022240 its reverse (422202214131), we get a palindrome (1736324236371).
The spelling of 1314122022240 in words is "one trillion, three hundred fourteen billion, one hundred twenty-two million, twenty-two thousand, two hundred forty".
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