| Base | Representation |
|---|---|
| bin | 110000101101101001001110… |
| … | …110100110100000000000000 |
| 3 | 1001002120102022202020121202000 |
| 4 | 300231221032310310000000 |
| 5 | 211040123410032021100 |
| 6 | 2035353453150024000 |
| 7 | 63061352213335410 |
| oct | 6055511664640000 |
| 9 | 1032512282217660 |
| 10 | 214242881126400 |
| 11 | 6229a994106075 |
| 12 | 200418574a8000 |
| 13 | 927102b477769 |
| 14 | 3ac95a7242640 |
| 15 | 19b7e37d0a900 |
| hex | c2da4ed34000 |
214242881126400 has 2880 divisors, whose sum is σ = 959005304732160. Its totient is φ = 45774117273600.
The previous prime is 214242881126359. The next prime is 214242881126413. The reversal of 214242881126400 is 4621188242412.
214242881126400 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 42 + 8 + 81 + 126 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-4 number, since 4×2142428811264004 (a number of 58 digits) contains 4444 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 (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227675749930 + ... + 227675750870.
It is an arithmetic number, because the mean of its divisors is an integer number (332987953032).
Almost surely, 2214242881126400 is an apocalyptic number.
214242881126400 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 214242881126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479502652366080).
214242881126400 is an abundant number, since it is smaller than the sum of its proper divisors (744762423605760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214242881126400 is a wasteful number, since it uses less digits than its factorization.
214242881126400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1185 (or 1148 counting only the distinct ones).
The product of its (nonzero) digits is 393216, while the sum is 45.
The spelling of 214242881126400 in words is "two hundred fourteen trillion, two hundred forty-two billion, eight hundred eighty-one million, one hundred twenty-six thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.115 sec. • engine limits •