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21314424340 = 22511199593821
BaseRepresentation
bin10011110110011100…
…000100111000010100
32001000102211221110201
4103312130010320110
5322122443034330
613443002030244
71353122421556
oct236634047024
961012757421
1021314424340
119048489530
12416a1a8384
132018ac3211
141062abd4d6
1584b359eca
hex4f6704e14

21314424340 has 96 divisors (see below), whose sum is σ = 49217414400. Its totient is φ = 7689369600.

The previous prime is 21314424253. The next prime is 21314424353. The reversal of 21314424340 is 4342441312.

It is a junction number, because it is equal to n+sod(n) for n = 21314424299 and 21314424308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25961130 + ... + 25961950.

It is an arithmetic number, because the mean of its divisors is an integer number (512681400).

Almost surely, 221314424340 is an apocalyptic number.

21314424340 is a gapful number since it is divisible by the number (20) 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 21314424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24608707200).

21314424340 is an abundant number, since it is smaller than the sum of its proper divisors (27902990060).

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

21314424340 is a wasteful number, since it uses less digits than its factorization.

21314424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21314424340 its reverse (4342441312), we get a palindrome (25656865652).

The spelling of 21314424340 in words is "twenty-one billion, three hundred fourteen million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 593 796 821 995 1186 1642 1990 2189 2372 2965 3284 3980 4105 4378 5930 6523 8210 8756 9031 10945 11860 13046 16420 18062 21890 26092 32615 36124 43780 45155 65230 90310 118007 130460 163379 180620 236014 326758 472028 486853 590035 653516 816895 973706 1180070 1298077 1633790 1797169 1947412 2360140 2434265 2596154 3267580 3594338 4868530 5192308 5355383 6490385 7188676 8985845 9737060 10710766 12980770 17971690 21421532 25961540 26776915 35943380 53553830 96883747 107107660 193767494 387534988 484418735 968837470 1065721217 1937674940 2131442434 4262884868 5328606085 10657212170 21314424340