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14327272320 = 273525392939
BaseRepresentation
bin11010101011111100…
…01101001110000000
31100222111021211210120
431111332031032000
5213320240203240
610325403100240
71015020543144
oct152576151600
940874254716
1014327272320
11609240a829
12293a211680
13147436823a
1499cb49224
1558cc2cad0
hex355f8d380

14327272320 has 128 divisors (see below), whose sum is σ = 45701712000. Its totient is φ = 3817801728.

The previous prime is 14327272303. The next prime is 14327272331. The reversal of 14327272320 is 2327272341.

14327272320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 4873411 + ... + 4876349.

It is an arithmetic number, because the mean of its divisors is an integer number (357044625).

Almost surely, 214327272320 is an apocalyptic number.

14327272320 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 14327272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850856000).

14327272320 is an abundant number, since it is smaller than the sum of its proper divisors (31374439680).

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

14327272320 is a wasteful number, since it uses less digits than its factorization.

14327272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 14327272320 in words is "fourteen billion, three hundred twenty-seven million, two hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2539 2939 5078 5878 7617 8817 10156 11756 12695 14695 15234 17634 20312 23512 25390 29390 30468 35268 38085 40624 44085 47024 50780 58780 60936 70536 76170 81248 88170 94048 101560 117560 121872 141072 152340 162496 176340 188096 203120 235120 243744 282144 304680 324992 352680 376192 406240 470240 487488 564288 609360 705360 812480 940480 974976 1128576 1218720 1410720 1624960 1880960 2437440 2821440 4874880 5642880 7462121 14924242 22386363 29848484 37310605 44772726 59696968 74621210 89545452 111931815 119393936 149242420 179090904 223863630 238787872 298484840 358181808 447727260 477575744 596969680 716363616 895454520 955151488 1193939360 1432727232 1790909040 2387878720 2865454464 3581818080 4775757440 7163636160 14327272320