Search a number
-
+
14035720644 = 22321143839931
BaseRepresentation
bin11010001001001100…
…00001100111000100
31100020011200111002100
431010212001213010
5212221121030034
610240430112100
71004550441231
oct150446014704
940204614070
1014035720644
115a52886730
12287864b630
131428b3795a
14972134788
1557233c099
hex3449819c4

14035720644 has 144 divisors (see below), whose sum is σ = 40085869824. Its totient is φ = 4103870400.

The previous prime is 14035720619. The next prime is 14035720649. The reversal of 14035720644 is 44602753041.

14035720644 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 5 + 7 + 2 + 0 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14035720599 and 14035720608.

It is not an unprimeable number, because it can be changed into a prime (14035720649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408359 + ... + 1418289.

It is an arithmetic number, because the mean of its divisors is an integer number (278374096).

Almost surely, 214035720644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14035720644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042934912).

14035720644 is an abundant number, since it is smaller than the sum of its proper divisors (26050149180).

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

14035720644 is a wasteful number, since it uses less digits than its factorization.

14035720644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 14035720644 in words is "fourteen billion, thirty-five million, seven hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 83 86 99 129 132 166 172 198 249 258 332 387 396 473 498 516 747 774 913 946 996 1419 1494 1548 1826 1892 2739 2838 2988 3569 3652 4257 5478 5676 7138 8217 8514 9931 10707 10956 14276 16434 17028 19862 21414 29793 32121 32868 39259 39724 42828 59586 64242 78518 89379 109241 117777 119172 128484 157036 178758 218482 235554 327723 353331 357516 427033 436964 471108 655446 706662 824273 854066 983169 1281099 1310892 1413324 1648546 1708132 1966338 2472819 2562198 3297092 3843297 3932676 4697363 4945638 5124396 7418457 7686594 9067003 9394726 9891276 14092089 14836914 15373188 18134006 18789452 27201009 28184178 29673828 35443739 36268012 42276267 54402018 56368356 70887478 81603027 84552534 106331217 108804036 141774956 163206054 169105068 212662434 318993651 326412108 389881129 425324868 637987302 779762258 1169643387 1275974604 1559524516 2339286774 3508930161 4678573548 7017860322 14035720644