| Base | Representation |
|---|---|
| bin | 1010000000101010111110… |
| … | …00001011111101011110000 |
| 3 | 2212221110011211122122011200 |
| 4 | 11000111133001133223300 |
| 5 | 10341131220203310230 |
| 6 | 114452434323011200 |
| 7 | 4431260064310365 |
| oct | 500253701375360 |
| 9 | 85843154578150 |
| 10 | 22013301619440 |
| 11 | 701787497343a |
| 12 | 25763aa209b00 |
| 13 | c38acb563a31 |
| 14 | 56164154c46c |
| 15 | 28293a9e4160 |
| hex | 14055f05faf0 |
22013301619440 has 240 divisors, whose sum is σ = 75146762233920. Its totient is φ = 5773456465920.
The previous prime is 22013301619411. The next prime is 22013301619447. The reversal of 22013301619440 is 4491610331022.
22013301619440 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 30 + 1 + 619 + 4 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 4.
It is a junction number, because it is equal to n+sod(n) for n = 22013301619395 and 22013301619404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22013301619447) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820368264 + ... + 820395096.
It is an arithmetic number, because the mean of its divisors is an integer number (313111509308).
Almost surely, 222013301619440 is an apocalyptic number.
22013301619440 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 22013301619440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37573381116960).
22013301619440 is an abundant number, since it is smaller than the sum of its proper divisors (53133460614480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22013301619440 is a wasteful number, since it uses less digits than its factorization.
22013301619440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 45592 (or 45583 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The spelling of 22013301619440 in words is "twenty-two trillion, thirteen billion, three hundred one million, six hundred nineteen thousand, four hundred forty".
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