| Base | Representation |
|---|---|
| bin | 100001001001100111000… |
| … | …001001110101011100000 |
| 3 | 22001210001222202100200000 |
| 4 | 201021213001032223200 |
| 5 | 244310432111324100 |
| 6 | 4502305442100000 |
| 7 | 323404322240043 |
| oct | 41114701165340 |
| 9 | 8053058670600 |
| 10 | 2278061042400 |
| 11 | 7a9136084570 |
| 12 | 30960604a600 |
| 13 | 136a88094560 |
| 14 | 7c389dc0c5a |
| 15 | 3e3ce5b9900 |
| hex | 2126704eae0 |
2278061042400 has 2592 divisors, whose sum is σ = 10374632731008. Its totient is φ = 480818073600.
The previous prime is 2278061042351. The next prime is 2278061042423. The reversal of 2278061042400 is 42401608722.
2278061042400 is a `hidden beast` number, since 227 + 8 + 0 + 6 + 1 + 0 + 424 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2592).
It is a super-5 number, since 5×22780610424005 (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 431 ways as a sum of consecutive naturals, for example, 10035511087 + ... + 10035511313.
It is an arithmetic number, because the mean of its divisors is an integer number (4002558924).
Almost surely, 22278061042400 is an apocalyptic number.
2278061042400 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 2278061042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187316365504).
2278061042400 is an abundant number, since it is smaller than the sum of its proper divisors (8096571688608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2278061042400 is a wasteful number, since it uses less digits than its factorization.
2278061042400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 324 (or 280 counting only the distinct ones).
The product of its (nonzero) digits is 43008, while the sum is 36.
The spelling of 2278061042400 in words is "two trillion, two hundred seventy-eight billion, sixty-one million, forty-two thousand, four hundred".
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