| Base | Representation |
|---|---|
| bin | 1001011111110101000001… |
| … | …1000111110101110100000 |
| 3 | 1100222021200210122100122012 |
| 4 | 2113331100120332232200 |
| 5 | 2332042031020102430 |
| 6 | 34113102345132052 |
| 7 | 2125303521236030 |
| oct | 227752030765640 |
| 9 | 40867623570565 |
| 10 | 10442414222240 |
| 11 | 336666a660350 |
| 12 | 120798748a028 |
| 13 | 5a993ba74390 |
| 14 | 2815b63818c0 |
| 15 | 131970258695 |
| hex | 97f5063eba0 |
10442414222240 has 384 divisors, whose sum is σ = 33177456506880. Its totient is φ = 2999528755200.
The previous prime is 10442414222237. The next prime is 10442414222257. The reversal of 10442414222240 is 4222241424401.
It is a super-2 number, since 2×104424142222402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 10442414222197 and 10442414222206.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 99086375 + ... + 99191705.
It is an arithmetic number, because the mean of its divisors is an integer number (86399626320).
Almost surely, 210442414222240 is an apocalyptic number.
10442414222240 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 10442414222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588728253440).
10442414222240 is an abundant number, since it is smaller than the sum of its proper divisors (22735042284640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10442414222240 is a wasteful number, since it uses less digits than its factorization.
10442414222240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 105996 (or 105988 counting only the distinct ones).
The product of its (nonzero) digits is 32768, while the sum is 32.
Adding to 10442414222240 its reverse (4222241424401), we get a palindrome (14664655646641).
The spelling of 10442414222240 in words is "ten trillion, four hundred forty-two billion, four hundred fourteen million, two hundred twenty-two thousand, two hundred forty".
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