| Base | Representation |
|---|---|
| bin | 10010101011110101… |
| … | …11111010001000000 |
| 3 | 221220002222001002220 |
| 4 | 21111322333101000 |
| 5 | 131021023231230 |
| 6 | 4335225011040 |
| 7 | 503406005160 |
| oct | 112572772100 |
| 9 | 27802861086 |
| 10 | 10031461440 |
| 11 | 4288553500 |
| 12 | 1b3b623a80 |
| 13 | c3b384700 |
| 14 | 6b23d25a0 |
| 15 | 3daa24d10 |
| hex | 255ebf440 |
10031461440 has 1008 divisors, whose sum is σ = 43917681024. Its totient is φ = 1897758720.
The previous prime is 10031461417. The next prime is 10031461441. The reversal of 10031461440 is 4416413001.
10031461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 10031461440.
It is not an unprimeable number, because it can be changed into a prime (10031461441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137417244 + ... + 137417316.
It is an arithmetic number, because the mean of its divisors is an integer number (43569128).
Almost surely, 210031461440 is an apocalyptic number.
10031461440 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 10031461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958840512).
10031461440 is an abundant number, since it is smaller than the sum of its proper divisors (33886219584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10031461440 is a wasteful number, since it uses less digits than its factorization.
10031461440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 148 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
Adding to 10031461440 its reverse (4416413001), we get a palindrome (14447874441).
The spelling of 10031461440 in words is "ten billion, thirty-one million, four hundred sixty-one thousand, four hundred forty".
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