| Base | Representation |
|---|---|
| bin | 110001000101110100… |
| … | …1100011100000000000 |
| 3 | 101002010001100200000001 |
| 4 | 1202023221203200000 |
| 5 | 3211401032011230 |
| 6 | 120232534205344 |
| 7 | 10421313263020 |
| oct | 1421351434000 |
| 9 | 332101320001 |
| 10 | 105422141440 |
| 11 | 40789061230 |
| 12 | 185217b3854 |
| 13 | 9c30c62965 |
| 14 | 516120ba80 |
| 15 | 2b2027a0ca |
| hex | 188ba63800 |
105422141440 has 768 divisors, whose sum is σ = 344184422400. Its totient is φ = 29992550400.
The previous prime is 105422141413. The next prime is 105422141491. The reversal of 105422141440 is 44141224501.
It is a happy number.
It is a super-2 number, since 2×1054221414402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a junction number, because it is equal to n+sod(n) for n = 105422141399 and 105422141408.
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 63 ways as a sum of consecutive naturals, for example, 464414607 + ... + 464414833.
It is an arithmetic number, because the mean of its divisors is an integer number (448156800).
Almost surely, 2105422141440 is an apocalyptic number.
105422141440 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 105422141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172092211200).
105422141440 is an abundant number, since it is smaller than the sum of its proper divisors (238762280960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105422141440 is a wasteful number, since it uses less digits than its factorization.
105422141440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 322 (or 302 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 28.
Adding to 105422141440 its reverse (44141224501), we get a palindrome (149563365941).
The spelling of 105422141440 in words is "one hundred five billion, four hundred twenty-two million, one hundred forty-one thousand, four hundred forty".
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