Base | Representation |
---|---|
bin | 11101001101110110… |
… | …111110010110000000 |
3 | 2222222022010100000000 |
4 | 131031312332112000 |
5 | 1003221440342330 |
6 | 22224530000000 |
7 | 2160255223365 |
oct | 351566762600 |
9 | 88868110000 |
10 | 31371027840 |
11 | 12339144599 |
12 | 60b6116000 |
13 | 2c5c43b689 |
14 | 173857846c |
15 | c39199560 |
hex | 74ddbe580 |
31371027840 has 576 divisors, whose sum is σ = 116599317120. Its totient is φ = 8062156800.
The previous prime is 31371027817. The next prime is 31371027847. The reversal of 31371027840 is 4872017313.
31371027840 is a `hidden beast` number, since 313 + 71 + 0 + 278 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
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 = 31371027795 and 31371027804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31371027847) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130170120 + ... + 130170360.
It is an arithmetic number, because the mean of its divisors is an integer number (202429370).
Almost surely, 231371027840 is an apocalyptic number.
31371027840 is a gapful number since it is divisible by the number (30) 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 31371027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58299658560).
31371027840 is an abundant number, since it is smaller than the sum of its proper divisors (85228289280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31371027840 is an frugal number, since it uses more digits than its factorization.
31371027840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 315 (or 282 counting only the distinct ones).
The product of its (nonzero) digits is 28224, while the sum is 36.
The spelling of 31371027840 in words is "thirty-one billion, three hundred seventy-one million, twenty-seven thousand, eight hundred forty".
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