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14023514205 = 38519149151
BaseRepresentation
bin11010000111101110…
…11101100001011101
31100012022201100000000
431003313131201131
5212210004423310
610235312324513
71004341622031
oct150367354135
940168640000
1014023514205
115a469a9868
122874543739
1314264529cc
149706781c1
1557122a4c0
hex343ddd85d

14023514205 has 144 divisors (see below), whose sum is σ = 26924976000. Its totient is φ = 6991401600.

The previous prime is 14023514201. The next prime is 14023514209. The reversal of 14023514205 is 50241532041.

14023514205 is a `hidden beast` number, since 1 + 4 + 0 + 235 + 1 + 420 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (14023514201) and next prime (14023514209).

It is not a de Polignac number, because 14023514205 - 22 = 14023514201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14023514201) 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, 92870880 + ... + 92871030.

It is an arithmetic number, because the mean of its divisors is an integer number (186979000).

Almost surely, 214023514205 is an apocalyptic number.

14023514205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14023514205 is a deficient number, since it is larger than the sum of its proper divisors (12901461795).

14023514205 is an equidigital number, since it uses as much as digits as its factorization.

14023514205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14023514205 in words is "fourteen billion, twenty-three million, five hundred fourteen thousand, two hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 149 151 171 243 285 405 447 453 513 729 745 755 855 1215 1341 1359 1539 2187 2235 2265 2565 2831 2869 3645 4023 4077 4617 6561 6705 6795 7695 8493 8607 10935 12069 12231 13851 14155 14345 20115 20385 22499 23085 25479 25821 32805 36207 36693 41553 42465 43035 60345 61155 67497 69255 76437 77463 108621 110079 112495 124659 127395 129105 181035 183465 202491 207765 229311 232389 325863 330237 337485 382185 387315 427481 543105 550395 607473 623295 687933 697167 977589 990711 1012455 1146555 1161945 1282443 1629315 1651185 1822419 2063799 2091501 2137405 3037365 3439665 3485835 3847329 4887945 4953555 5467257 6191397 6274503 6412215 9112095 10318995 10457505 11541987 16401771 18574191 18823509 19236645 27336285 30956985 31372515 34625961 49205313 57709935 82008855 92870955 94117545 103877883 147615939 173129805 246026565 311633649 519389415 738079695 934900947 1558168245 2804702841 4674504735 14023514205