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14231120004 = 223219232931193
BaseRepresentation
bin11010100000011110…
…11010100010000100
31100201210100210121200
431100033122202010
5213121131320004
610312050142500
71012442344533
oct152017324204
940653323550
1014231120004
116043107102
122911b81a30
13145a470b8a
1499007a31a
15584588239
hex3503da884

14231120004 has 144 divisors (see below), whose sum is σ = 40876617600. Its totient is φ = 4150282752.

The previous prime is 14231120003. The next prime is 14231120017. The reversal of 14231120004 is 40002113241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14231120003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440632 + ... + 471824.

It is an arithmetic number, because the mean of its divisors is an integer number (283865400).

Almost surely, 214231120004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14231120004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20438308800).

14231120004 is an abundant number, since it is smaller than the sum of its proper divisors (26645497596).

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

14231120004 is a wasteful number, since it uses less digits than its factorization.

14231120004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31274 (or 31269 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14231120004 its reverse (40002113241), we get a palindrome (54233233245).

The spelling of 14231120004 in words is "fourteen billion, two hundred thirty-one million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 23 29 36 38 46 57 58 69 76 87 92 114 116 138 171 174 207 228 261 276 342 348 414 437 522 551 667 684 828 874 1044 1102 1311 1334 1653 1748 2001 2204 2622 2668 3306 3933 4002 4959 5244 6003 6612 7866 8004 9918 12006 12673 15732 19836 24012 25346 31193 38019 50692 62386 76038 93579 114057 124772 152076 187158 228114 280737 374316 456228 561474 592667 717439 904597 1122948 1185334 1434878 1778001 1809194 2152317 2370668 2713791 2869756 3556002 3618388 4304634 5334003 5427582 6456951 7112004 8141373 8609268 10668006 10855164 12913902 13631341 16282746 17187343 20805731 21336012 25827804 27262682 32565492 34374686 40894023 41611462 51562029 54525364 62417193 68749372 81788046 83222924 103124058 122682069 124834386 154686087 163576092 187251579 206248116 245364138 249668772 309372174 374503158 395308889 490728276 618744348 749006316 790617778 1185926667 1581235556 2371853334 3557780001 4743706668 7115560002 14231120004