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14413054202505 = 3357431355326171
BaseRepresentation
bin1101000110111100110011…
…1110011101001010001001
31220000212121112021112002000
43101233030332131022021
53342120413333440010
650353133220101213
73015210630216030
oct321571476351211
956025545245060
1014413054202505
1146575a63935a2
12174941a834809
138071b6c6116a
1437b84a269717
1519edb38a37c0
hexd1bccf9d289

14413054202505 has 128 divisors (see below), whose sum is σ = 29968037130240. Its totient is φ = 6434875560960.

The previous prime is 14413054202483. The next prime is 14413054202597. The reversal of 14413054202505 is 50520245031441.

14413054202505 is a `hidden beast` number, since 1 + 441 + 3 + 0 + 5 + 4 + 202 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 14413054202505 - 28 = 14413054202249 is a prime.

It is a super-2 number, since 2×144130542025052 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14413054202505.

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, 550713070 + ... + 550739240.

It is an arithmetic number, because the mean of its divisors is an integer number (234125290080).

Almost surely, 214413054202505 is an apocalyptic number.

14413054202505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14413054202505 is an abundant number, since it is smaller than the sum of its proper divisors (15554982927735).

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

14413054202505 is a wasteful number, since it uses less digits than its factorization.

14413054202505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39788 (or 39782 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 14413054202505 its reverse (50520245031441), we get a palindrome (64933299233946).

The spelling of 14413054202505 in words is "fourteen trillion, four hundred thirteen billion, fifty-four million, two hundred two thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 301 315 387 645 903 945 1161 1505 1935 2709 4515 5805 8127 13545 13553 26171 40635 40659 67765 78513 94871 121977 130855 183197 203295 235539 284613 365931 392565 474355 549591 582779 609885 706617 853839 915985 1125353 1177695 1423065 1648773 1748337 1829655 2561517 2747955 2913895 3376059 3533085 4079453 4269195 4946319 5245011 5626765 7877471 8243865 8741685 10128177 12238359 12807585 15735033 16880295 20397265 23632413 24731595 26225055 30384531 36715077 39387355 50640885 61191795 70897239 78675165 110145231 118162065 151922655 183575385 212691717 354486195 354695563 550726155 1063458585 1064086689 1773477815 2482868941 3192260067 5320433445 7448606823 9576780201 12414344705 15251909209 15961300335 22345820469 37243034115 45755727627 47883901005 67037461407 76259546045 106763364463 111729102345 137267182881 228778638135 320290093389 335187307035 411801548643 533816822315 686335914405 960870280167 1601450466945 2059007743215 2882610840501 4804351400835 14413054202505