| Base | Representation |
|---|---|
| bin | 10011001110010011… |
| … | …01111011100000000 |
| 3 | 222122020220211022120 |
| 4 | 21213021233130000 |
| 5 | 132114024311230 |
| 6 | 4424033004240 |
| 7 | 513516104046 |
| oct | 114711573400 |
| 9 | 28566824276 |
| 10 | 10320541440 |
| 11 | 44167495a0 |
| 12 | 20003b3680 |
| 13 | c8622ac71 |
| 14 | 6dc962396 |
| 15 | 4060c8310 |
| hex | 26726f700 |
10320541440 has 288 divisors, whose sum is σ = 36461166336. Its totient is φ = 2466938880.
The previous prime is 10320541433. The next prime is 10320541447. The reversal of 10320541440 is 4414502301.
It is an interprime number because it is at equal distance from previous prime (10320541433) and next prime (10320541447).
It is a super-3 number, since 3×103205414403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 10320541440.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10320541447) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3081847 + ... + 3085193.
It is an arithmetic number, because the mean of its divisors is an integer number (126601272).
Almost surely, 210320541440 is an apocalyptic number.
10320541440 is a gapful number since it is divisible by the number (10) 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 10320541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230583168).
10320541440 is an abundant number, since it is smaller than the sum of its proper divisors (26140624896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10320541440 is a wasteful number, since it uses less digits than its factorization.
10320541440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3455 (or 3441 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 24.
The spelling of 10320541440 in words is "ten billion, three hundred twenty million, five hundred forty-one thousand, four hundred forty".
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