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14040450424 = 23711135929717
BaseRepresentation
bin11010001001110000…
…00100010101111000
31100020111120210010101
431010320010111320
5212223323403144
610241115325144
71004635600540
oct150470042570
940214523111
1014040450424
115a55517240
12287a1507b4
131429b02740
14972a06320
155729736d4
hex344e04578

14040450424 has 128 divisors (see below), whose sum is σ = 35946892800. Its totient is φ = 4963760640.

The previous prime is 14040450323. The next prime is 14040450481. The reversal of 14040450424 is 42405404041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14040450392 and 14040450401.

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, 457614 + ... + 487330.

It is an arithmetic number, because the mean of its divisors is an integer number (280835100).

Almost surely, 214040450424 is an apocalyptic number.

14040450424 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 14040450424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17973446400).

14040450424 is an abundant number, since it is smaller than the sum of its proper divisors (21906442376).

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

14040450424 is a wasteful number, since it uses less digits than its factorization.

14040450424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29813 (or 29809 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 14040450424 its reverse (42405404041), we get a palindrome (56445854465).

It can be divided in two parts, 14040 and 450424, that added together give a palindrome (464464).

The spelling of 14040450424 in words is "fourteen billion, forty million, four hundred fifty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 59 77 88 91 104 118 143 154 182 236 286 308 364 413 472 572 616 649 728 767 826 1001 1144 1298 1534 1652 2002 2596 3068 3304 4004 4543 5192 5369 6136 8008 8437 9086 10738 16874 18172 21476 29717 33748 36344 42952 59059 59434 67496 118118 118868 208019 236236 237736 326887 386321 416038 472472 653774 772642 832076 1307548 1545284 1664152 1753303 2288209 2615096 2704247 3090568 3506606 4249531 4576418 5408494 7013212 8499062 9152836 10816988 12273121 14026424 16998124 18305672 19286333 21633976 22792939 24546242 29746717 33996248 38572666 45585878 49092484 59493434 77145332 91171756 98184968 118986868 135004331 154290664 159550573 182343512 237973736 250722329 270008662 319101146 501444658 540017324 638202292 1002889316 1080034648 1276404584 1755056303 2005778632 3510112606 7020225212 14040450424