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13424335040 = 265131320237
BaseRepresentation
bin11001000000010011…
…10001100011000000
31021122120020212201002
430200021301203000
5204443112210130
610100030031132
7653444652014
oct144011614300
937576225632
1013424335040
115769761676
1227279484a8
13135c28391c
14914c66544
15538820b45
hex3202718c0

13424335040 has 56 divisors (see below), whose sum is σ = 32210818992. Its totient is φ = 5328727040.

The previous prime is 13424335027. The next prime is 13424335121. The reversal of 13424335040 is 4053342431.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13424334994 and 13424335012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118199 + ... + 202038.

Almost surely, 213424335040 is an apocalyptic number.

13424335040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13424335040 is an abundant number, since it is smaller than the sum of its proper divisors (18786483952).

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

13424335040 is a wasteful number, since it uses less digits than its factorization.

13424335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320385 (or 320375 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 13424335040 its reverse (4053342431), we get a palindrome (17477677471).

The spelling of 13424335040 in words is "thirteen billion, four hundred twenty-four million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 131 160 262 320 524 655 1048 1310 2096 2620 4192 5240 8384 10480 20960 41920 320237 640474 1280948 1601185 2561896 3202370 5123792 6404740 10247584 12809480 20495168 25618960 41951047 51237920 83902094 102475840 167804188 209755235 335608376 419510470 671216752 839020940 1342433504 1678041880 2684867008 3356083760 6712167520 13424335040