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13424024041335 = 335673459732141
BaseRepresentation
bin1100001101011000011000…
…1011110011011101110111
31202112022202022112122111000
43003112012023303131313
53224414400123310320
644314524515214343
72553565554443265
oct303260613633567
952468668478430
1013424024041335
114306107675a06
1216097ba5a73b3
13764b5958c81b
14345a24ac1435
151842ca21ec90
hexc35862f3777

13424024041335 has 64 divisors (see below), whose sum is σ = 23906335052160. Its totient is φ = 7147063848960.

The previous prime is 13424024041333. The next prime is 13424024041339. The reversal of 13424024041335 is 53314042042431.

13424024041335 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 40 + 240 + 41 + 335 = 666.

It is not a de Polignac number, because 13424024041335 - 21 = 13424024041333 is a prime.

It is a super-3 number, since 3×134240240413353 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13424024041335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424024041333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417644365 + ... + 417676505.

It is an arithmetic number, because the mean of its divisors is an integer number (373536485190).

Almost surely, 213424024041335 is an apocalyptic number.

13424024041335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13424024041335 is a deficient number, since it is larger than the sum of its proper divisors (10482311010825).

13424024041335 is a wasteful number, since it uses less digits than its factorization.

13424024041335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37425 (or 37419 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13424024041335 its reverse (53314042042431), we get a palindrome (66738066083766).

The spelling of 13424024041335 in words is "thirteen trillion, four hundred twenty-four billion, twenty-four million, forty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 673 2019 3365 4597 6057 10095 13791 18171 22985 30285 32141 41373 68955 90855 96423 124119 160705 206865 289269 482115 620595 867807 1446345 3093781 4339035 9281343 15468905 21630893 27844029 46406715 64892679 83532087 108154465 139220145 147752177 194678037 324463395 417660435 443256531 584034111 738760885 973390185 1329769593 2216282655 2920170555 3989308779 6648847965 19946543895 99437215121 298311645363 497186075605 894934936089 1491558226815 2684804808267 4474674680445 13424024041335