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14412200454405 = 33513731016311069
BaseRepresentation
bin1101000110111001101000…
…0101101010100100000101
31220000210102000210121212000
43101232122011222210011
53342112141304020110
650352512401215513
73015150522404355
oct321563205524405
956023360717760
1014412200454405
1146571a8481a56
121749220931599
138070ac10cb80
1437b7a8b0cb65
1519ed639611c0
hexd1b9a16a905

14412200454405 has 128 divisors (see below), whose sum is σ = 27975848947200. Its totient is φ = 6996721379328.

The previous prime is 14412200454349. The next prime is 14412200454451. The reversal of 14412200454405 is 50445400221441.

14412200454405 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 2 + 200 + 4 + 5 + 440 + 5 = 666.

It is not a de Polignac number, because 14412200454405 - 27 = 14412200454277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14412200454405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1302027211 + ... + 1302038279.

It is an arithmetic number, because the mean of its divisors is an integer number (218561319900).

Almost surely, 214412200454405 is an apocalyptic number.

14412200454405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14412200454405 is a deficient number, since it is larger than the sum of its proper divisors (13563648492795).

14412200454405 is a wasteful number, since it uses less digits than its factorization.

14412200454405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21332 (or 21326 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 14412200454405 its reverse (50445400221441), we get a palindrome (64857600675846).

The spelling of 14412200454405 in words is "fourteen trillion, four hundred twelve billion, two hundred million, four hundred fifty-four thousand, four hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 73 117 135 195 219 351 365 585 657 949 1095 1755 1971 2847 3285 4745 8541 9855 10163 11069 14235 25623 30489 33207 42705 50815 55345 91467 99621 128115 132119 143897 152445 166035 274401 298863 396357 431691 457335 498105 660595 719485 741899 808037 1189071 1295073 1372005 1494315 1981785 2158455 2225697 2424111 3567213 3709495 3885219 4040185 5945355 6475365 6677091 7272333 9644687 10504481 11128485 12120555 17836065 19426095 20031273 21816999 28934061 31513443 33385455 36361665 48223435 52522405 86802183 94540329 100156365 109084995 112494247 144670305 157567215 260406549 283620987 337482741 434010915 472701645 562471235 1012448223 1302032745 1418104935 1462425211 1687413705 3037344669 4387275633 5062241115 7312126055 8212080031 13161826899 15186723345 21936378165 24636240093 39485480697 41060400155 65809134495 73908720279 106757040403 123181200465 197427403485 221726160837 320271121209 369543601395 533785202015 960813363627 1108630804185 1601355606045 2882440090881 4804066818135 14412200454405