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14234425040 = 24511178910691
BaseRepresentation
bin11010100000111000…
…00001011011010000
31100202000120201021102
431100130001123100
5213123003100130
610312245043532
71012512421313
oct152034013320
940660521242
1014234425040
116044a64240
1229130b65a8
13145b05a314
1499069a97a
155849dc645
hex3507016d0

14234425040 has 160 divisors (see below), whose sum is σ = 38660561280. Its totient is φ = 4816486400.

The previous prime is 14234425013. The next prime is 14234425069. The reversal of 14234425040 is 4052443241.

It is a junction number, because it is equal to n+sod(n) for n = 14234424994 and 14234425012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326095 + ... + 1336785.

It is an arithmetic number, because the mean of its divisors is an integer number (241628508).

Almost surely, 214234425040 is an apocalyptic number.

14234425040 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 14234425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19330280640).

14234425040 is an abundant number, since it is smaller than the sum of its proper divisors (24426136240).

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

14234425040 is a wasteful number, since it uses less digits than its factorization.

14234425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821 (or 10815 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 14234425040 its reverse (4052443241), we get a palindrome (18286868281).

The spelling of 14234425040 in words is "fourteen billion, two hundred thirty-four million, four hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 89 110 136 170 176 178 187 220 272 340 356 374 440 445 680 712 748 880 890 935 979 1360 1424 1496 1513 1780 1870 1958 2992 3026 3560 3740 3916 4895 6052 7120 7480 7565 7832 9790 10691 12104 14960 15130 15664 16643 19580 21382 24208 30260 33286 39160 42764 53455 60520 66572 78320 83215 85528 106910 117601 121040 133144 166430 171056 181747 213820 235202 266288 332860 363494 427640 470404 588005 665720 726988 855280 908735 940808 951499 1176010 1331440 1453976 1817470 1881616 1902998 1999217 2352020 2907952 3634940 3805996 3998434 4704040 4757495 7269880 7611992 7996868 9408080 9514990 9996085 10466489 14539760 15223984 15993736 16175483 19029980 19992170 20932978 31987472 32350966 38059960 39984340 41865956 52332445 64701932 76119920 79968680 80877415 83731912 104664890 129403864 159937360 161754830 167463824 177930313 209329780 258807728 323509660 355860626 418659560 647019320 711721252 837319120 889651565 1294038640 1423442504 1779303130 2846885008 3558606260 7117212520 14234425040