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14410442020 = 22513175955259
BaseRepresentation
bin11010110101110110…
…11110010100100100
31101012021210022011211
431122323132110210
5214003033121040
610341533441204
71020050510332
oct153273362444
941167708154
1014410442020
116125356417
122962040204
131488668290
149a9bd8b52
155951aa8ea
hex35aede524

14410442020 has 96 divisors (see below), whose sum is σ = 35092310400. Its totient is φ = 4922824704.

The previous prime is 14410441993. The next prime is 14410442027. The reversal of 14410442020 is 2024401441.

It is a junction number, because it is equal to n+sod(n) for n = 14410441982 and 14410442000.

It is not an unprimeable number, because it can be changed into a prime (14410442027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233151 + ... + 288409.

It is an arithmetic number, because the mean of its divisors is an integer number (365544900).

Almost surely, 214410442020 is an apocalyptic number.

14410442020 is a gapful number since it is divisible by the number (10) 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 14410442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17546155200).

14410442020 is an abundant number, since it is smaller than the sum of its proper divisors (20681868380).

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

14410442020 is a wasteful number, since it uses less digits than its factorization.

14410442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55357 (or 55355 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 14410442020 its reverse (2024401441), we get a palindrome (16434843461).

The spelling of 14410442020 in words is "fourteen billion, four hundred ten million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 59 65 68 85 118 130 170 221 236 260 295 340 442 590 767 884 1003 1105 1180 1534 2006 2210 3068 3835 4012 4420 5015 7670 10030 13039 15340 20060 26078 52156 55259 65195 110518 130390 221036 260780 276295 552590 718367 939403 1105180 1436734 1878806 2873468 3260281 3591835 3757612 4697015 6520562 7183670 9394030 12212239 13041124 14367340 16301405 18788060 24424478 32602810 42383653 48848956 55424777 61061195 65205620 84767306 110849554 122122390 169534612 211918265 221699108 244244780 277123885 423836530 554247770 720522101 847673060 1108495540 1441044202 2882088404 3602610505 7205221010 14410442020