| Base | Representation |
|---|---|
| bin | 10011000111111111001… |
| … | …010000000000000000000 |
| 3 | 11122122022001101221111100 |
| 4 | 103013333022000000000 |
| 5 | 133013033413234200 |
| 6 | 2443431201214400 |
| 7 | 163644144202311 |
| oct | 23077712000000 |
| 9 | 4578261357440 |
| 10 | 1314245836800 |
| 11 | 467406570236 |
| 12 | 192862331400 |
| 13 | 96c1861ba80 |
| 14 | 47877576608 |
| 15 | 242be918d00 |
| hex | 131ff280000 |
1314245836800 has 720 divisors, whose sum is σ = 5075979608700. Its totient is φ = 323129180160.
The previous prime is 1314245836789. The next prime is 1314245836801. The reversal of 1314245836800 is 86385424131.
1314245836800 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 4 + 583 + 68 + 0 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 550397804544 + 763848032256 = 741888^2 + 873984^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×13142458368002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1314245836801) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1533541972 + ... + 1533542828.
Almost surely, 21314245836800 is an apocalyptic number.
1314245836800 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 1314245836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537989804350).
1314245836800 is an abundant number, since it is smaller than the sum of its proper divisors (3761733771900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1314245836800 is an frugal number, since it uses more digits than its factorization.
1314245836800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 924 (or 880 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 1314245836800 in words is "one trillion, three hundred fourteen billion, two hundred forty-five million, eight hundred thirty-six thousand, eight hundred".
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