| Base | Representation |
|---|---|
| bin | 100000001110111000101… |
| … | …0111001111011111010100 |
| 3 | 120200111122020101121202120 |
| 4 | 1000131301113033133110 |
| 5 | 1040040131334402330 |
| 6 | 13231041525135540 |
| 7 | 635025566622000 |
| oct | 100356127173724 |
| 9 | 16614566347676 |
| 10 | 4430013200340 |
| 11 | 1458837a63672 |
| 12 | 5b669655a5b0 |
| 13 | 261996471300 |
| 14 | 1145b15c5700 |
| 15 | 7a37c738c10 |
| hex | 407715cf7d4 |
4430013200340 has 1152 divisors, whose sum is σ = 16575197184000. Its totient is φ = 881469388800.
The previous prime is 4430013200339. The next prime is 4430013200341. The reversal of 4430013200340 is 430023100344.
It is an interprime number because it is at equal distance from previous prime (4430013200339) and next prime (4430013200341).
It is a super-3 number, since 3×44300132003403 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 4430013200340.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4430013200341) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6319561990 + ... + 6319562690.
It is an arithmetic number, because the mean of its divisors is an integer number (14388192000).
Almost surely, 24430013200340 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4430013200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287598592000).
4430013200340 is an abundant number, since it is smaller than the sum of its proper divisors (12145183983660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4430013200340 is a wasteful number, since it uses less digits than its factorization.
4430013200340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 862 (or 833 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
Adding to 4430013200340 its reverse (430023100344), we get a palindrome (4860036300684).
The spelling of 4430013200340 in words is "four trillion, four hundred thirty billion, thirteen million, two hundred thousand, three hundred forty".
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