| Base | Representation |
|---|---|
| bin | 100111001110101000… |
| … | …000001000110100000 |
| 3 | 11000201111122212101020 |
| 4 | 213032220001012200 |
| 5 | 1142231023134212 |
| 6 | 31203353405440 |
| 7 | 3020543106666 |
| oct | 471650010640 |
| 9 | 130644585336 |
| 10 | 42121302432 |
| 11 | 16955416a50 |
| 12 | 81b6409880 |
| 13 | 3c836bb5c1 |
| 14 | 2078200c36 |
| 15 | 1167d5ad8c |
| hex | 9cea011a0 |
42121302432 has 96 divisors (see below), whose sum is σ = 120736163520. Its totient is φ = 12751749120.
The previous prime is 42121302427. The next prime is 42121302437. The reversal of 42121302432 is 23420312124.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (42121302427) and next prime (42121302437).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×421213024322 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (42121302437) 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 15 ways as a sum of consecutive naturals, for example, 1110208 + ... + 1147520.
It is an arithmetic number, because the mean of its divisors is an integer number (1257668370).
Almost surely, 242121302432 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 42121302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60368081760).
42121302432 is an abundant number, since it is smaller than the sum of its proper divisors (78614861088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42121302432 is a wasteful number, since it uses less digits than its factorization.
42121302432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38406 (or 38398 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 42121302432 its reverse (23420312124), we get a palindrome (65541614556).
The spelling of 42121302432 in words is "forty-two billion, one hundred twenty-one million, three hundred two thousand, four hundred thirty-two".
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