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14104334475 = 32527112772939
BaseRepresentation
bin11010010001010111…
…10001000010001011
31100101221210102120100
431020223301002023
5212341202200400
610251320500443
71006342602450
oct151053610213
940357712510
1014104334475
115a88590280
12289761a723
13143a10c55a
1497b2b5827
15578392100
hex348af108b

14104334475 has 144 divisors (see below), whose sum is σ = 31620476160. Its totient is φ = 5838393600.

The previous prime is 14104334471. The next prime is 14104334479. The reversal of 14104334475 is 57443340141.

14104334475 is a `hidden beast` number, since 141 + 0 + 43 + 3 + 4 + 475 = 666.

It is an interprime number because it is at equal distance from previous prime (14104334471) and next prime (14104334479).

It is not a de Polignac number, because 14104334475 - 22 = 14104334471 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14104334471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4797556 + ... + 4800494.

It is an arithmetic number, because the mean of its divisors is an integer number (219586640).

Almost surely, 214104334475 is an apocalyptic number.

14104334475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14104334475 is an abundant number, since it is smaller than the sum of its proper divisors (17516141685).

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

14104334475 is a wasteful number, since it uses less digits than its factorization.

14104334475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3242 counting only the distinct ones).

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

The spelling of 14104334475 in words is "fourteen billion, one hundred four million, three hundred thirty-four thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 277 315 385 495 525 693 825 831 1155 1385 1575 1925 1939 2475 2493 2939 3047 3465 4155 5775 5817 6925 8817 9141 9695 12465 14695 15235 17325 17451 20573 20775 21329 26451 27423 29085 32329 44085 45705 48475 61719 62325 63987 73475 76175 87255 96987 102865 106645 132255 137115 145425 161645 185157 191961 220425 226303 228525 290961 308595 319935 436275 484935 514325 533225 661275 678909 685575 808225 814103 925785 959805 1131515 1454805 1542975 1599675 2036727 2424675 2442309 3394545 4070515 4628925 4799025 5657575 5698721 7274025 7326927 8955133 10183635 12211545 16972725 17096163 20352575 26865399 28493605 36634635 44775665 50918175 51288489 61057725 62685931 80596197 85480815 134326995 142468025 183173175 188057793 223878325 256442445 313429655 402980985 427404075 564173379 671634975 940288965 1282212225 1567148275 2014904925 2820866895 4701444825 14104334475