| Base | Representation |
|---|---|
| bin | 11111001101100000110… |
| … | …010000000000000000000 |
| 3 | 21121001010122221000100000 |
| 4 | 133031200302000000000 |
| 5 | 240120033433310030 |
| 6 | 4321151353200000 |
| 7 | 310646310412650 |
| oct | 37154062000000 |
| 9 | 7531118830300 |
| 10 | 2144812400640 |
| 11 | 757678759838 |
| 12 | 2a7819400000 |
| 13 | 1273411500c0 |
| 14 | 75b492a8360 |
| 15 | 3abd144a860 |
| hex | 1f360c80000 |
2144812400640 has 1920 divisors, whose sum is σ = 9746613676800. Its totient is φ = 440301256704.
The previous prime is 2144812400639. The next prime is 2144812400681. The reversal of 2144812400640 is 460042184412.
2144812400640 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 8 + 1 + 2 + 4 + 0 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2144812400595 and 2144812400604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57967902702 + ... + 57967902738.
It is an arithmetic number, because the mean of its divisors is an integer number (5076361290).
Almost surely, 22144812400640 is an apocalyptic number.
2144812400640 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 2144812400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873306838400).
2144812400640 is an abundant number, since it is smaller than the sum of its proper divisors (7601801276160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2144812400640 is an frugal number, since it uses more digits than its factorization.
2144812400640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 115 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
It can be divided in two parts, 2144812 and 400640, that added together give a palindrome (2545452).
The spelling of 2144812400640 in words is "two trillion, one hundred forty-four billion, eight hundred twelve million, four hundred thousand, six hundred forty".
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