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14534055424 = 29721673469
BaseRepresentation
bin11011000100100110…
…00001011000000000
31101111220101111220001
431202103001120000
5214231204233144
610402111125344
71023111301300
oct154223013000
941456344801
1014534055424
116189105a59
122997513854
1314a8158ac5
149bc3b5600
155a0e76bd4
hex3624c1600

14534055424 has 120 divisors (see below), whose sum is σ = 33992980560. Its totient is φ = 6189797376.

The previous prime is 14534055401. The next prime is 14534055443. The reversal of 14534055424 is 42455043541.

It is a super-2 number, since 2×145340554242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4187962 + ... + 4191430.

It is an arithmetic number, because the mean of its divisors is an integer number (283274838).

Almost surely, 214534055424 is an apocalyptic number.

14534055424 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 14534055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16996490280).

14534055424 is an abundant number, since it is smaller than the sum of its proper divisors (19458925136).

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

14534055424 is an equidigital number, since it uses as much as digits as its factorization.

14534055424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 14534055424 its reverse (42455043541), we get a palindrome (56989098965).

The spelling of 14534055424 in words is "fourteen billion, five hundred thirty-four million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 167 196 224 256 334 392 448 512 668 784 896 1169 1336 1568 1792 2338 2672 3136 3469 3584 4676 5344 6272 6938 8183 9352 10688 12544 13876 16366 18704 21376 24283 25088 27752 32732 37408 42752 48566 55504 65464 74816 85504 97132 111008 130928 149632 169981 194264 222016 261856 299264 339962 388528 444032 523712 579323 598528 679924 777056 888064 1047424 1158646 1359848 1554112 1776128 2094848 2317292 2719696 3108224 4055261 4189696 4634584 5439392 6216448 8110522 9269168 10878784 12432896 16221044 18538336 21757568 28386827 32442088 37076672 43515136 56773654 64884176 74153344 87030272 113547308 129768352 148306688 227094616 259536704 296613376 454189232 519073408 908378464 1038146816 1816756928 2076293632 3633513856 7267027712 14534055424