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14322024024 = 23371117534421
BaseRepresentation
bin11010101011010100…
…01011111001011000
31100222010102012111020
431111222023321120
5213312414232044
610325054402440
71014625124040
oct152552137130
940863365436
1014322024024
11608a4556a0
122938500420
13147324b439
1499c180720
1558c542a19
hex355a8be58

14322024024 has 128 divisors (see below), whose sum is σ = 44675642880. Its totient is φ = 3717043200.

The previous prime is 14322024007. The next prime is 14322024109. The reversal of 14322024024 is 42042022341.

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

It is a junction number, because it is equal to n+sod(n) for n = 14322023985 and 14322024003.

It is a congruent number.

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, 3237334 + ... + 3241754.

It is an arithmetic number, because the mean of its divisors is an integer number (349028460).

Almost surely, 214322024024 is an apocalyptic number.

14322024024 is a gapful number since it is divisible by the number (14) 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 14322024024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22337821440).

14322024024 is an abundant number, since it is smaller than the sum of its proper divisors (30353618856).

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

14322024024 is a wasteful number, since it uses less digits than its factorization.

14322024024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14322024024 its reverse (42042022341), we get a palindrome (56364046365).

The spelling of 14322024024 in words is "fourteen billion, three hundred twenty-two million, twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1753 1848 3506 4421 5259 7012 8842 10518 12271 13263 14024 17684 19283 21036 24542 26526 30947 35368 36813 38566 42072 48631 49084 53052 57849 61894 73626 77132 92841 97262 98168 106104 115698 123788 134981 145893 147252 154264 185682 194524 231396 247576 269962 291786 294504 340417 371364 389048 404943 462792 539924 583572 680834 742728 809886 1021251 1079848 1167144 1361668 1619772 2042502 2723336 3239544 4085004 7750013 8170008 15500026 23250039 31000052 46500078 54250091 62000104 85250143 93000156 108500182 162750273 170500286 186000312 217000364 255750429 325500546 341000572 434000728 511500858 596751001 651001092 682001144 1023001716 1193502002 1302002184 1790253003 2046003432 2387004004 3580506006 4774008008 7161012012 14322024024