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14234123112 = 233111013591487
BaseRepresentation
bin11010100000110101…
…10111101101101000
31100202000000101002220
431100122313231220
5213122413414422
610312234354040
71012510023126
oct152032675550
940660011086
1014234123112
116044878410
122912b8b920
13145ac82a71
1499061c916
1558497ce5c
hex3506b7b68

14234123112 has 128 divisors (see below), whose sum is σ = 39340339200. Its totient is φ = 4255904000.

The previous prime is 14234123003. The next prime is 14234123129. The reversal of 14234123112 is 21132143241.

It is a super-3 number, since 3×142341231123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9571633 + ... + 9573119.

It is an arithmetic number, because the mean of its divisors is an integer number (307346400).

Almost surely, 214234123112 is an apocalyptic number.

14234123112 is a gapful number since it is divisible by the number (12) 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 14234123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19670169600).

14234123112 is an abundant number, since it is smaller than the sum of its proper divisors (25106216088).

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

14234123112 is a wasteful number, since it uses less digits than its factorization.

14234123112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1963 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 14234123112 its reverse (21132143241), we get a palindrome (35366266353).

The spelling of 14234123112 in words is "fourteen billion, two hundred thirty-four million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 359 404 606 718 808 1077 1111 1212 1436 1487 2154 2222 2424 2872 2974 3333 3949 4308 4444 4461 5948 6666 7898 8616 8888 8922 11847 11896 13332 15796 16357 17844 23694 26664 31592 32714 35688 36259 47388 49071 65428 72518 94776 98142 108777 130856 145036 150187 196284 217554 290072 300374 392568 398849 435108 450561 533833 600748 797698 870216 901122 1067666 1196547 1201496 1595396 1601499 1652057 1802244 2135332 2393094 3190792 3202998 3304114 3604488 4270664 4786188 4956171 5872163 6405996 6608228 9572376 9912342 11744326 12811992 13216456 17616489 19824684 23488652 35232978 39649368 46977304 53917133 70465956 107834266 140931912 161751399 215668532 323502798 431337064 593088463 647005596 1186176926 1294011192 1779265389 2372353852 3558530778 4744707704 7117061556 14234123112