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14434071940 = 22553223227269
BaseRepresentation
bin11010111000101011…
…00111010110000100
31101020221020211100001
431130111213112010
5214030110300230
610344140131044
71020455405251
oct153425472604
941227224301
1014434071940
116137725982
122969b36a84
13149051c992
149acdca428
155972c70ca
hex35c567584

14434071940 has 96 divisors (see below), whose sum is σ = 31274449920. Its totient is φ = 5593575936.

The previous prime is 14434071931. The next prime is 14434072039. The reversal of 14434071940 is 4917043441.

14434071940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14434071940.

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 31 ways as a sum of consecutive naturals, for example, 53658126 + ... + 53658394.

It is an arithmetic number, because the mean of its divisors is an integer number (325775520).

Almost surely, 214434071940 is an apocalyptic number.

14434071940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434071940 is an abundant number, since it is smaller than the sum of its proper divisors (16840377980).

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

14434071940 is a wasteful number, since it uses less digits than its factorization.

14434071940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 14434071940 in words is "fourteen billion, four hundred thirty-four million, seventy-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 223 227 265 269 446 454 530 538 892 908 1060 1076 1115 1135 1345 2230 2270 2690 4460 4540 5380 11819 12031 14257 23638 24062 28514 47276 48124 50621 57028 59095 59987 60155 61063 71285 101242 118190 119974 120310 122126 142570 202484 236380 239948 240620 244252 253105 285140 299935 305315 506210 599870 610630 1012420 1199740 1221260 2682913 3179311 3236339 5365826 6358622 6472678 10731652 12717244 12945356 13414565 13617049 15896555 16181695 26829130 27234098 31793110 32363390 53658260 54468196 63586220 64726780 68085245 136170490 272340980 721703597 1443407194 2886814388 3608517985 7217035970 14434071940