Base | Representation |
---|---|
bin | 10010110100111101000111… |
… | …11000000001100000000000 |
3 | 12102120222122022202020211000 |
4 | 21122132203320001200000 |
5 | 20411312132404413220 |
6 | 224015442133252000 |
7 | 11502122435103000 |
oct | 1132364370014000 |
9 | 172528568666730 |
10 | 41401939138560 |
11 | 1221251132a910 |
12 | 4787b81794000 |
13 | 1a14255b598b0 |
14 | a31c1645a000 |
15 | 4bbe5d21b390 |
hex | 25a7a3e01800 |
41401939138560 has 6144 divisors, whose sum is σ = 209227898880000. Its totient is φ = 7647304089600.
The previous prime is 41401939138529. The next prime is 41401939138687. The reversal of 41401939138560 is 6583193910414.
41401939138560 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 19 + 39 + 1 + 38 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (6144).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 41401939138497 and 41401939138506.
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 511 ways as a sum of consecutive naturals, for example, 583125903325 + ... + 583125903395.
It is an arithmetic number, because the mean of its divisors is an integer number (34054020000).
Almost surely, 241401939138560 is an apocalyptic number.
41401939138560 is a gapful number since it is divisible by the number (40) 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 41401939138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613949440000).
41401939138560 is an abundant number, since it is smaller than the sum of its proper divisors (167825959741440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41401939138560 is a wasteful number, since it uses less digits than its factorization.
41401939138560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 195 (or 155 counting only the distinct ones).
The product of its (nonzero) digits is 2799360, while the sum is 54.
The spelling of 41401939138560 in words is "forty-one trillion, four hundred one billion, nine hundred thirty-nine million, one hundred thirty-eight thousand, five hundred sixty".
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