Base | Representation |
---|---|
bin | 1101111111101000100… |
… | …1111111001100101000 |
3 | 211222120021212201000000 |
4 | 3133322021333030220 |
5 | 12414340022422212 |
6 | 302240353343000 |
7 | 23240556221316 |
oct | 3377211771450 |
9 | 758507781000 |
10 | 240420123432 |
11 | 92a6398a195 |
12 | 3a718267a60 |
13 | 1989643a688 |
14 | b8ca3b10b6 |
15 | 63c1c971dc |
hex | 37fa27f328 |
240420123432 has 112 divisors (see below), whose sum is σ = 688625609940. Its totient is φ = 78627863808.
The previous prime is 240420123413. The next prime is 240420123497. The reversal of 240420123432 is 234321024042.
240420123432 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 201 + 23 + 432 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 224738572356 + 15681551076 = 474066^2 + 125226^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 240420123396 and 240420123405.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 79813 + ... + 698004.
Almost surely, 2240420123432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240420123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344312804970).
240420123432 is an abundant number, since it is smaller than the sum of its proper divisors (448205486508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240420123432 is an equidigital number, since it uses as much as digits as its factorization.
240420123432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 777894 (or 777875 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 240420123432 its reverse (234321024042), we get a palindrome (474741147474).
The spelling of 240420123432 in words is "two hundred forty billion, four hundred twenty million, one hundred twenty-three thousand, four hundred thirty-two".
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