| Base | Representation |
|---|---|
| bin | 1001000110000110001011… |
| … | …1001101000111101100000 |
| 3 | 1022102000122002220200111020 |
| 4 | 2101201202321220331200 |
| 5 | 2302321200321022430 |
| 6 | 33134032203445440 |
| 7 | 2051333553120063 |
| oct | 221414271507540 |
| 9 | 38360562820436 |
| 10 | 10000343142240 |
| 11 | 3206137aa4950 |
| 12 | 1156172826880 |
| 13 | 57704a280179 |
| 14 | 26803a9328da |
| 15 | 1251ea124b10 |
| hex | 91862e68f60 |
10000343142240 has 384 divisors, whose sum is σ = 34732964851200. Its totient is φ = 2398421975040.
The previous prime is 10000343142211. The next prime is 10000343142247. The reversal of 10000343142240 is 4224134300001.
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 10000343142240.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10000343142247) 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 63 ways as a sum of consecutive naturals, for example, 387312051 + ... + 387337869.
It is an arithmetic number, because the mean of its divisors is an integer number (90450429300).
Almost surely, 210000343142240 is an apocalyptic number.
10000343142240 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 10000343142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366482425600).
10000343142240 is an abundant number, since it is smaller than the sum of its proper divisors (24732621708960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000343142240 is a wasteful number, since it uses less digits than its factorization.
10000343142240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26630 (or 26622 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 10000343142240 its reverse (4224134300001), we get a palindrome (14224477442241).
The spelling of 10000343142240 in words is "ten trillion, three hundred forty-three million, one hundred forty-two thousand, two hundred forty".
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