Base | Representation |
---|---|
bin | 100111000110110100… |
… | …101010100000000000 |
3 | 11000101101100100000000 |
4 | 213012310222200000 |
5 | 1141444020300000 |
6 | 31142400000000 |
7 | 3014363340153 |
oct | 470664524000 |
9 | 130341310000 |
10 | 41990400000 |
11 | 1689853901a |
12 | 817a600000 |
13 | 3c62548143 |
14 | 2064a87c9a |
15 | 115b600000 |
hex | 9c6d2a800 |
41990400000 has 648 divisors, whose sum is σ = 157407483870. Its totient is φ = 11197440000.
The previous prime is 41990399987. The next prime is 41990400013. The reversal of 41990400000 is 409914.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (41990399987) and next prime (41990400013).
It can be written as a sum of positive squares in 3 ways, for example, as 60466176 + 41929933824 = 7776^2 + 204768^2 .
It is a tau number, because it is divible by the number of its divisors (648).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 53 ways as a sum of consecutive naturals, for example, 8398079998 + ... + 8398080002.
Almost surely, 241990400000 is an apocalyptic number.
41990400000 is a gapful number since it is divisible by the number (40) 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 41990400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78703741935).
41990400000 is an abundant number, since it is smaller than the sum of its proper divisors (115417083870).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41990400000 is an frugal number, since it uses more digits than its factorization.
41990400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
Adding to 41990400000 its reverse (409914), we get a palindrome (41990809914).
The spelling of 41990400000 in words is "forty-one billion, nine hundred ninety million, four hundred thousand".
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