| Base | Representation |
|---|---|
| bin | 11011010011000111… |
| … | …101100011101000000 |
| 3 | 2210122210100101220000 |
| 4 | 123103013230131000 |
| 5 | 440012311012230 |
| 6 | 21244325520000 |
| 7 | 2055242206020 |
| oct | 332307543500 |
| 9 | 83583311800 |
| 10 | 29311813440 |
| 11 | 11481833308 |
| 12 | 5820573000 |
| 13 | 29c1930b10 |
| 14 | 15c0ca7a80 |
| 15 | b684dbb60 |
| hex | 6d31ec740 |
29311813440 has 1680 divisors, whose sum is σ = 139492036992. Its totient is φ = 5685313536.
The previous prime is 29311813411. The next prime is 29311813441. The reversal of 29311813440 is 4431811392.
29311813440 is a `hidden beast` number, since 2 + 9 + 31 + 181 + 3 + 440 = 666.
It is a tau number, because it is divible by the number of its divisors (1680).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 29311813395 and 29311813404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (29311813441) 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 239 ways as a sum of consecutive naturals, for example, 681670059 + ... + 681670101.
Almost surely, 229311813440 is an apocalyptic number.
29311813440 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 29311813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69746018496).
29311813440 is an abundant number, since it is smaller than the sum of its proper divisors (110180223552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29311813440 is a wasteful number, since it uses less digits than its factorization.
29311813440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 90 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The spelling of 29311813440 in words is "twenty-nine billion, three hundred eleven million, eight hundred thirteen thousand, four hundred forty".
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