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20114400404 = 22723181172561
BaseRepresentation
bin10010101110111010…
…010110010010010100
31220220210210102002202
4102232322112102110
5312143241303104
613123533224032
71311311403530
oct225672262224
956823712082
1020114400404
11859206680a
123a94332018
131b872c0b97
14d8b584bc0
157cad1751e
hex4aee96494

20114400404 has 48 divisors (see below), whose sum is σ = 42210045696. Its totient is φ = 8200051200.

The previous prime is 20114400401. The next prime is 20114400421. The reversal of 20114400404 is 40400441102.

It is a happy number.

It is a super-2 number, since 2×201144004042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20114400401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30284 + ... + 202844.

It is an arithmetic number, because the mean of its divisors is an integer number (879375952).

Almost surely, 220114400404 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 20114400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21105022848).

20114400404 is an abundant number, since it is smaller than the sum of its proper divisors (22095645292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20114400404 is a wasteful number, since it uses less digits than its factorization.

20114400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172776 (or 172774 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20114400404 its reverse (40400441102), we get a palindrome (60514841506).

The spelling of 20114400404 in words is "twenty billion, one hundred fourteen million, four hundred thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 46 92 161 181 322 362 644 724 1267 2534 4163 5068 8326 16652 29141 58282 116564 172561 345122 690244 1207927 2415854 3968903 4831708 7937806 15875612 27782321 31233541 55564642 62467082 111129284 124934164 218634787 437269574 718371443 874539148 1436742886 2873485772 5028600101 10057200202 20114400404