Base | Representation |
---|---|
bin | 1001011010000100010010… |
… | …1010110111000100000000 |
3 | 1100121211012122122022100000 |
4 | 2112201010222313010000 |
5 | 2323431322413210130 |
6 | 33555412505200000 |
7 | 2115200630463621 |
oct | 226410452670400 |
9 | 40554178568300 |
10 | 10343433335040 |
11 | 3328697512833 |
12 | 11b0762a90000 |
13 | 5a04c6434480 |
14 | 27a8a6805a48 |
15 | 12e0ca728260 |
hex | 96844ab7100 |
10343433335040 has 3456 divisors, whose sum is σ = 44878092779520. Its totient is φ = 2257403904000.
The previous prime is 10343433335023. The next prime is 10343433335069. The reversal of 10343433335040 is 4053333434301.
10343433335040 is a `hidden beast` number, since 103 + 4 + 3 + 43 + 3 + 3 + 3 + 504 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-2 number, since 2×103434333350402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10343433334986 and 10343433335004.
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102410230990 + ... + 102410231090.
Almost surely, 210343433335040 is an apocalyptic number.
10343433335040 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 10343433335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439046389760).
10343433335040 is an abundant number, since it is smaller than the sum of its proper divisors (34534659444480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10343433335040 is a wasteful number, since it uses less digits than its factorization.
10343433335040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 243 (or 217 counting only the distinct ones).
The product of its (nonzero) digits is 233280, while the sum is 36.
Adding to 10343433335040 its reverse (4053333434301), we get a palindrome (14396766769341).
The spelling of 10343433335040 in words is "ten trillion, three hundred forty-three billion, four hundred thirty-three million, three hundred thirty-five thousand, forty".
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