Base | Representation |
---|---|
bin | 1101101101110011000… |
… | …1001001001111111010 |
3 | 211112012121101010201100 |
4 | 3123130301021033322 |
5 | 12330033304320232 |
6 | 300125313432230 |
7 | 23011116561300 |
oct | 3333461111772 |
9 | 745177333640 |
10 | 235632104442 |
11 | 90a271a86a9 |
12 | 3980086b676 |
13 | 192b249c547 |
14 | b594530270 |
15 | 61e1764c7c |
hex | 36dcc493fa |
235632104442 has 144 divisors (see below), whose sum is σ = 629907910632. Its totient is φ = 63254016000.
The previous prime is 235632104419. The next prime is 235632104447. The reversal of 235632104442 is 244401236532.
235632104442 is a `hidden beast` number, since 2 + 3 + 5 + 632 + 10 + 4 + 4 + 4 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 219324559041 + 16307545401 = 468321^2 + 127701^2 .
It is a super-2 number, since 2×2356321044422 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 235632104397 and 235632104406.
It is not an unprimeable number, because it can be changed into a prime (235632104447) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8878192 + ... + 8904692.
Almost surely, 2235632104442 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 235632104442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314953955316).
235632104442 is an abundant number, since it is smaller than the sum of its proper divisors (394275806190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235632104442 is a wasteful number, since it uses less digits than its factorization.
235632104442 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27133 (or 27123 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
The spelling of 235632104442 in words is "two hundred thirty-five billion, six hundred thirty-two million, one hundred four thousand, four hundred forty-two".
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