Base | Representation |
---|---|
bin | 10100001101101101… |
… | …110001111110000000 |
3 | 2002000122200021020000 |
4 | 110031231301332000 |
5 | 323422431111230 |
6 | 13545432120000 |
7 | 1365603646440 |
oct | 241555617600 |
9 | 62018607200 |
10 | 21704941440 |
11 | 9228967836 |
12 | 4258b36000 |
13 | 207b994420 |
14 | 109c8d6120 |
15 | 870798b60 |
hex | 50db71f80 |
21704941440 has 1280 divisors, whose sum is σ = 98530629120. Its totient is φ = 4431200256.
The previous prime is 21704941439. The next prime is 21704941459. The reversal of 21704941440 is 4414940712.
21704941440 is a `hidden beast` number, since 2 + 170 + 4 + 9 + 41 + 440 = 666.
It is a super-2 number, since 2×217049414402 (a number of 21 digits) contains 22 as substring.
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 = 21704941395 and 21704941404.
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 159 ways as a sum of consecutive naturals, for example, 202849867 + ... + 202849973.
It is an arithmetic number, because the mean of its divisors is an integer number (76977054).
Almost surely, 221704941440 is an apocalyptic number.
21704941440 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 21704941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49265314560).
21704941440 is an abundant number, since it is smaller than the sum of its proper divisors (76825687680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21704941440 is a wasteful number, since it uses less digits than its factorization.
21704941440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 21704941440 in words is "twenty-one billion, seven hundred four million, nine hundred forty-one thousand, four hundred forty".
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