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14046424848 = 2432374164301
BaseRepresentation
bin11010001010011101…
…10110111100010000
31100020220211022111100
431011032312330100
5212231341043343
610241451344400
71005040432641
oct150516667420
940226738440
1014046424848
115a58927985
122880152100
13142b114bc1
1497371d6c8
155732539d3
hex3453b6f10

14046424848 has 120 divisors (see below), whose sum is σ = 41358274776. Its totient is φ = 4444416000.

The previous prime is 14046424793. The next prime is 14046424859. The reversal of 14046424848 is 84842464041.

14046424848 is a `hidden beast` number, since 140 + 4 + 6 + 424 + 84 + 8 = 666.

14046424848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 929762064 + 13116662784 = 30492^2 + 114528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186298 + ... + 250598.

Almost surely, 214046424848 is an apocalyptic number.

14046424848 is a gapful number since it is divisible by the number (18) 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 14046424848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20679137388).

14046424848 is an abundant number, since it is smaller than the sum of its proper divisors (27311849928).

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

14046424848 is a wasteful number, since it uses less digits than its factorization.

14046424848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64393 (or 64384 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

Adding to 14046424848 its reverse (84842464041), we get a palindrome (98888888889).

The spelling of 14046424848 in words is "fourteen billion, forty-six million, four hundred twenty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 41 48 72 74 82 111 123 144 148 164 222 246 296 328 333 369 444 492 592 656 666 738 888 984 1332 1476 1517 1776 1968 2664 2952 3034 4551 5328 5904 6068 9102 12136 13653 18204 24272 27306 36408 54612 64301 72816 109224 128602 192903 218448 257204 385806 514408 578709 771612 1028816 1157418 1543224 2314836 2379137 2636341 3086448 4629672 4758274 5272682 7137411 7909023 9259344 9516548 10545364 14274822 15818046 19033096 21090728 21412233 23727069 28549644 31636092 38066192 42181456 42824466 47454138 57099288 63272184 85648932 94908276 97544617 114198576 126544368 171297864 189816552 195089234 292633851 342595728 379633104 390178468 585267702 780356936 877901553 1170535404 1560713872 1755803106 2341070808 3511606212 4682141616 7023212424 14046424848