Base | Representation |
---|---|
bin | 10000001010101100110010… |
… | …000101101011110000000000 |
3 | 100022202110220200102200000000 |
4 | 100022230302011223300000 |
5 | 33304432020111423000 |
6 | 411120423200000000 |
7 | 20656044666165306 |
oct | 2012546205536000 |
9 | 308673820380000 |
10 | 71104023936000 |
11 | 20724057919860 |
12 | 7b84529900000 |
13 | 308a1083644a3 |
14 | 137b64b514276 |
15 | 8348a3899000 |
hex | 40ab3216bc00 |
71104023936000 has 3168 divisors, whose sum is σ = 298667591988480. Its totient is φ = 16742412288000.
The previous prime is 71104023935983. The next prime is 71104023936019. The reversal of 71104023936000 is 63932040117.
71104023936000 is a `hidden beast` number, since 7 + 1 + 1 + 0 + 40 + 2 + 3 + 9 + 3 + 600 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3168).
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 congruent number.
It is an unprimeable number.
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 287 ways as a sum of consecutive naturals, for example, 397229183911 + ... + 397229184089.
It is an arithmetic number, because the mean of its divisors is an integer number (94276386360).
Almost surely, 271104023936000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 71104023936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149333795994240).
71104023936000 is an abundant number, since it is smaller than the sum of its proper divisors (227563568052480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71104023936000 is an equidigital number, since it uses as much as digits as its factorization.
71104023936000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 292 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
Adding to 71104023936000 its reverse (63932040117), we get a palindrome (71167955976117).
The spelling of 71104023936000 in words is "seventy-one trillion, one hundred four billion, twenty-three million, nine hundred thirty-six thousand".
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