| Base | Representation |
|---|---|
| bin | 111101011110001101110… |
| … | …011110001111110000000 |
| 3 | 112221211201221221201221112 |
| 4 | 331132031303301332000 |
| 5 | 1023202412443412230 |
| 6 | 12552344211342452 |
| 7 | 614124612442610 |
| oct | 75361563617600 |
| 9 | 15854657851845 |
| 10 | 4224332013440 |
| 11 | 1389590325690 |
| 12 | 5828542b1a28 |
| 13 | 2484781402a6 |
| 14 | 10865cba4a40 |
| 15 | 74d40654d95 |
| hex | 3d78dcf1f80 |
4224332013440 has 512 divisors, whose sum is σ = 13268565780480. Its totient is φ = 1246924800000.
The previous prime is 4224332013431. The next prime is 4224332013449. The reversal of 4224332013440 is 443102334224.
It is an interprime number because it is at equal distance from previous prime (4224332013431) and next prime (4224332013449).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 4224332013397 and 4224332013406.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4224332013449) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114458990 + ... + 114495890.
It is an arithmetic number, because the mean of its divisors is an integer number (25915167540).
Almost surely, 24224332013440 is an apocalyptic number.
4224332013440 is a gapful number since it is divisible by the number (40) 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 4224332013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634282890240).
4224332013440 is an abundant number, since it is smaller than the sum of its proper divisors (9044233767040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4224332013440 is a wasteful number, since it uses less digits than its factorization.
4224332013440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 37062 (or 37050 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 32.
Adding to 4224332013440 its reverse (443102334224), we get a palindrome (4667434347664).
The spelling of 4224332013440 in words is "four trillion, two hundred twenty-four billion, three hundred thirty-two million, thirteen thousand, four hundred forty".
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