| Base | Representation |
|---|---|
| bin | 100000101010111100111… |
| … | …001000111000000000000 |
| 3 | 21221122002210210112212000 |
| 4 | 200222330321013000000 |
| 5 | 243241022324003000 |
| 6 | 4435223133104000 |
| 7 | 321130466155122 |
| oct | 40527471070000 |
| 9 | 7848083715760 |
| 10 | 2245142016000 |
| 11 | 796183156824 |
| 12 | 303159628000 |
| 13 | 133940029500 |
| 14 | 7a94600b212 |
| 15 | 3d604594000 |
| hex | 20abce47000 |
2245142016000 has 1872 divisors, whose sum is σ = 9287992452960. Its totient is φ = 534822912000.
The previous prime is 2245142015861. The next prime is 2245142016011. The reversal of 2245142016000 is 6102415422.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
2245142016000 is a `hidden beast` number, since 2 + 2 + 4 + 51 + 4 + 2 + 0 + 1 + 600 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1872).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72423935985 + ... + 72423936015.
It is an arithmetic number, because the mean of its divisors is an integer number (4961534430).
Almost surely, 22245142016000 is an apocalyptic number.
2245142016000 is a gapful number since it is divisible by the number (20) 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 2245142016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643996226480).
2245142016000 is an abundant number, since it is smaller than the sum of its proper divisors (7042850436960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2245142016000 is an equidigital number, since it uses as much as digits as its factorization.
2245142016000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136 (or 54 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
2245142016000 divided by its product of nonzero digits (3840) gives a square (584672400 = 241802).
The spelling of 2245142016000 in words is "two trillion, two hundred forty-five billion, one hundred forty-two million, sixteen thousand".
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