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14322341120 = 28525144579
BaseRepresentation
bin11010101011010110…
…11001010100000000
31100222011000022110112
431111223121110000
5213313004403440
610325105250452
71014630614363
oct152553312400
940864008415
1014322341120
11608a65195a
122938633a28
13147332c879
1499c2240da
1558c5a6965
hex355ad9500

14322341120 has 72 divisors (see below), whose sum is σ = 34443934560. Its totient is φ = 5705984000.

The previous prime is 14322341119. The next prime is 14322341149. The reversal of 14322341120 is 2114322341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298991 + ... + 343569.

It is an arithmetic number, because the mean of its divisors is an integer number (478387980).

Almost surely, 214322341120 is an apocalyptic number.

14322341120 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 14322341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221967280).

14322341120 is an abundant number, since it is smaller than the sum of its proper divisors (20121593440).

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

14322341120 is an equidigital number, since it uses as much as digits as its factorization.

14322341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44851 (or 44837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14322341120 its reverse (2114322341), we get a palindrome (16436663461).

The spelling of 14322341120 in words is "fourteen billion, three hundred twenty-two million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 256 320 502 640 1004 1255 1280 2008 2510 4016 5020 8032 10040 16064 20080 32128 40160 44579 64256 80320 89158 160640 178316 222895 321280 356632 445790 713264 891580 1426528 1783160 2853056 3566320 5706112 7132640 11189329 11412224 14265280 22378658 28530560 44757316 55946645 57061120 89514632 111893290 179029264 223786580 358058528 447573160 716117056 895146320 1432234112 1790292640 2864468224 3580585280 7161170560 14322341120