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21314024320 = 27566150383
BaseRepresentation
bin10011110110011010…
…100011001110000000
32001000102002121202011
4103312122203032000
5322122342234240
613442545302304
71353116134411
oct236632431600
961012077664
1021314024320
119048235a36
12416a034994
1320189b3114
141062a17808
1584b2cb6ea
hex4f66a3380

21314024320 has 64 divisors (see below), whose sum is σ = 51031938240. Its totient is φ = 8512542720.

The previous prime is 21314024311. The next prime is 21314024321. The reversal of 21314024320 is 2342041312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21314024291 and 21314024300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314024321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397849 + ... + 448231.

It is an arithmetic number, because the mean of its divisors is an integer number (797374035).

Almost surely, 221314024320 is an apocalyptic number.

21314024320 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 21314024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25515969120).

21314024320 is an abundant number, since it is smaller than the sum of its proper divisors (29717913920).

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

21314024320 is an equidigital number, since it uses as much as digits as its factorization.

21314024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51063 (or 51051 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21314024320 its reverse (2342041312), we get a palindrome (23656065632).

The spelling of 21314024320 in words is "twenty-one billion, three hundred fourteen million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 661 1322 2644 3305 5288 6610 10576 13220 21152 26440 42304 50383 52880 84608 100766 105760 201532 211520 251915 403064 423040 503830 806128 1007660 1612256 2015320 3224512 4030640 6449024 8061280 16122560 32245120 33303163 66606326 133212652 166515815 266425304 333031630 532850608 666063260 1065701216 1332126520 2131402432 2664253040 4262804864 5328506080 10657012160 21314024320