| Base | Representation |
|---|---|
| bin | 111100001110000010100… |
| … | …101001111101011000000 |
| 3 | 112122121112100202011112200 |
| 4 | 330032002211033223000 |
| 5 | 1020300111020321043 |
| 6 | 12445025545153200 |
| 7 | 604656360143613 |
| oct | 74160245175300 |
| 9 | 15577470664480 |
| 10 | 4138244307648 |
| 11 | 13560240340a0 |
| 12 | 56a02978b800 |
| 13 | 240308a11ac9 |
| 14 | 10441370a17a |
| 15 | 729a29c67d3 |
| hex | 3c38294fac0 |
4138244307648 has 336 divisors, whose sum is σ = 13716884956320. Its totient is φ = 1178881228800.
The previous prime is 4138244307643. The next prime is 4138244307661. The reversal of 4138244307648 is 8467034428314.
4138244307648 is a `hidden beast` number, since 4 + 1 + 38 + 244 + 307 + 64 + 8 = 666.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 4138244307594 and 4138244307603.
It is not an unprimeable number, because it can be changed into a prime (4138244307643) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94872468 + ... + 94916076.
It is an arithmetic number, because the mean of its divisors is an integer number (40824062370).
Almost surely, 24138244307648 is an apocalyptic number.
4138244307648 is a gapful number since it is divisible by the number (48) 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 4138244307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858442478160).
4138244307648 is an abundant number, since it is smaller than the sum of its proper divisors (9578640648672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4138244307648 is a wasteful number, since it uses less digits than its factorization.
4138244307648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44536 (or 44523 counting only the distinct ones).
The product of its (nonzero) digits is 12386304, while the sum is 54.
The spelling of 4138244307648 in words is "four trillion, one hundred thirty-eight billion, two hundred forty-four million, three hundred seven thousand, six hundred forty-eight".
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