Base | Representation |
---|---|
bin | 10111101001101111010010… |
… | …011110110001000011100000 |
3 | 111122022112102201021121012200 |
4 | 113221233102132301003200 |
5 | 102113304302110104212 |
6 | 1005123355320253200 |
7 | 30624303304600035 |
oct | 2751572236610340 |
9 | 448275381247180 |
10 | 104023344222432 |
11 | 30166063a26658 |
12 | b800507611200 |
13 | 460748941303b |
14 | 1b98a8464538c |
15 | c05d44dd16dc |
hex | 5e9bd27b10e0 |
104023344222432 has 144 divisors (see below), whose sum is σ = 296712424728720. Its totient is φ = 34569430511616.
The previous prime is 104023344222367. The next prime is 104023344222481. The reversal of 104023344222432 is 234222443320401.
104023344222432 is a `hidden beast` number, since 1 + 0 + 40 + 2 + 334 + 42 + 2 + 243 + 2 = 666.
104023344222432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1040233442224322 (a number of 29 digits) contains 22 as substring.
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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2831396319 + ... + 2831433057.
It is an arithmetic number, because the mean of its divisors is an integer number (2060502949505).
Almost surely, 2104023344222432 is an apocalyptic number.
104023344222432 is a gapful number since it is divisible by the number (12) 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 104023344222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148356212364360).
104023344222432 is an abundant number, since it is smaller than the sum of its proper divisors (192689080506288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104023344222432 is a wasteful number, since it uses less digits than its factorization.
104023344222432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66265 (or 66254 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 36.
Adding to 104023344222432 its reverse (234222443320401), we get a palindrome (338245787542833).
The spelling of 104023344222432 in words is "one hundred four trillion, twenty-three billion, three hundred forty-four million, two hundred twenty-two thousand, four hundred thirty-two".
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