Base | Representation |
---|---|
bin | 1100010000110010000… |
… | …01100001000110010100 |
3 | 1111021111222101002001100 |
4 | 12020121001201012110 |
5 | 23400334103414444 |
6 | 521315455430100 |
7 | 42303603130551 |
oct | 6103101410624 |
9 | 1437458332040 |
10 | 421326623124 |
11 | 152757992a70 |
12 | 697a5525330 |
13 | 30966b12b74 |
14 | 1656c739a28 |
15 | ae5dd62e69 |
hex | 6219061194 |
421326623124 has 144 divisors (see below), whose sum is σ = 1178046192960. Its totient is φ = 125904000000.
The previous prime is 421326623099. The next prime is 421326623129.
421326623124 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 2 + 6 + 623 + 1 + 24 = 666.
421326623124 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4213266231242 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (421326623129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10018012 + ... + 10059980.
It is an arithmetic number, because the mean of its divisors is an integer number (8180876340).
Almost surely, 2421326623124 is an apocalyptic number.
421326623124 is a gapful number since it is divisible by the number (44) 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 421326623124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589023096480).
421326623124 is an abundant number, since it is smaller than the sum of its proper divisors (756719569836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
421326623124 is a wasteful number, since it uses less digits than its factorization.
421326623124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 42342 (or 42337 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The spelling of 421326623124 in words is "four hundred twenty-one billion, three hundred twenty-six million, six hundred twenty-three thousand, one hundred twenty-four".
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