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13335140136465 = 3257191143221477
BaseRepresentation
bin1100001000001101010001…
…0010100111011000010001
31202012211022211210110001100
43002003110102213120101
53221440331333331330
644210025004455013
72544301126636350
oct302032422473021
952184284713040
1013335140136465
114281445a62694
1215b453354a469
13759662a65184
143415d2111997
15181d26d58060
hexc20d44a7611

13335140136465 has 48 divisors (see below), whose sum is σ = 26416535079168. Its totient is φ = 6096004645248.

The previous prime is 13335140136463. The next prime is 13335140136599. The reversal of 13335140136465 is 56463104153331.

It is a happy number.

13335140136465 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 51 + 4 + 0 + 136 + 465 = 666.

It is not a de Polignac number, because 13335140136465 - 21 = 13335140136463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13335140136465.

It is not an unprimeable number, because it can be changed into a prime (13335140136463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60099307 + ... + 60320783.

It is an arithmetic number, because the mean of its divisors is an integer number (550344480816).

Almost surely, 213335140136465 is an apocalyptic number.

13335140136465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13335140136465 is a deficient number, since it is larger than the sum of its proper divisors (13081394942703).

13335140136465 is a wasteful number, since it uses less digits than its factorization.

13335140136465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412638 (or 412635 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

Adding to 13335140136465 its reverse (56463104153331), we get a palindrome (69798244289796).

The spelling of 13335140136465 in words is "thirteen trillion, three hundred thirty-five billion, one hundred forty million, one hundred thirty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 191143 221477 573429 664431 955715 1107385 1338001 1550339 1720287 1993293 2867145 3322155 4014003 4651017 6690005 7751695 8601435 9966465 12042009 13953051 20070015 23255085 60210045 69765255 42333778211 127001334633 211668891055 296336447477 381004003899 635006673165 889009342431 1481682237385 1905020019495 2667028027293 4445046712155 13335140136465