Base | Representation |
---|---|
bin | 100010000101011001010… |
… | …100000100100110000000 |
3 | 22021220202211011021202200 |
4 | 202011121110010212000 |
5 | 301333414414011430 |
6 | 4552003430313200 |
7 | 331136164122360 |
oct | 42053124044600 |
9 | 8256684137680 |
10 | 2342255610240 |
11 | 823388258517 |
12 | 319b407b8800 |
13 | 13cb48847a40 |
14 | 815199949a0 |
15 | 40dda1c7460 |
hex | 22159504980 |
2342255610240 has 768 divisors, whose sum is σ = 10142529022080. Its totient is φ = 484860100608.
The previous prime is 2342255610221. The next prime is 2342255610269. The reversal of 2342255610240 is 420165522432.
2342255610240 is a `hidden beast` number, since 2 + 34 + 2 + 2 + 5 + 5 + 610 + 2 + 4 + 0 = 666.
It is a super-2 number, since 2×23422556102402 (a number of 26 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 = 2342255610195 and 2342255610204.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27738324 + ... + 27822636.
Almost surely, 22342255610240 is an apocalyptic number.
2342255610240 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 2342255610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071264511040).
2342255610240 is an abundant number, since it is smaller than the sum of its proper divisors (7800273411840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2342255610240 is a wasteful number, since it uses less digits than its factorization.
2342255610240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84411 (or 84396 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 36.
The spelling of 2342255610240 in words is "two trillion, three hundred forty-two billion, two hundred fifty-five million, six hundred ten thousand, two hundred forty".
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