| Base | Representation |
|---|---|
| bin | 10100100111001001000… |
| … | …110100100010000000000 |
| 3 | 12000102000121200212100000 |
| 4 | 110213021012210100000 |
| 5 | 141201311023312034 |
| 6 | 3002405445200000 |
| 7 | 204222106620210 |
| oct | 24471106442000 |
| 9 | 5012017625300 |
| 10 | 1416418182144 |
| 11 | 4a6777157569 |
| 12 | 1aa617700000 |
| 13 | a374c1c9554 |
| 14 | 4c7aad16240 |
| 15 | 26c9e70b599 |
| hex | 149c91a4400 |
1416418182144 has 1056 divisors, whose sum is σ = 5157816401920. Its totient is φ = 379243855872.
The previous prime is 1416418182119. The next prime is 1416418182187. The reversal of 1416418182144 is 4412818146141.
1416418182144 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 418 + 18 + 214 + 4 = 666.
It is a super-2 number, since 2×14164181821442 (a number of 25 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 1416418182144.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4203021144 + ... + 4203021480.
Almost surely, 21416418182144 is an apocalyptic number.
1416418182144 is a gapful number since it is divisible by the number (14) 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 1416418182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578908200960).
1416418182144 is an abundant number, since it is smaller than the sum of its proper divisors (3741398219776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1416418182144 is a wasteful number, since it uses less digits than its factorization.
1416418182144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 525 (or 495 counting only the distinct ones).
The product of its digits is 196608, while the sum is 45.
The spelling of 1416418182144 in words is "one trillion, four hundred sixteen billion, four hundred eighteen million, one hundred eighty-two thousand, one hundred forty-four".
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