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13240404210140 = 2254371631343649
BaseRepresentation
bin1100000010101100010110…
…0101101111000111011100
31201212202210112102202100022
43000223011211233013130
53213412321434211030
644054320245051312
72534405362564412
oct300530545570734
951782715382308
1013240404210140
114245250aaaaa8
12159a0b46b6b38
13750745a13833
1433aba62532b2
1517e62ed38de5
hexc0ac596f1dc

13240404210140 has 96 divisors (see below), whose sum is σ = 28898006860800. Its totient is φ = 5092038604800.

The previous prime is 13240404210127. The next prime is 13240404210167. The reversal of 13240404210140 is 4101240404231.

13240404210140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38357036 + ... + 38700684.

It is an arithmetic number, because the mean of its divisors is an integer number (301020904800).

Almost surely, 213240404210140 is an apocalyptic number.

13240404210140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13240404210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449003430400).

13240404210140 is an abundant number, since it is smaller than the sum of its proper divisors (15657602650660).

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

13240404210140 is a wasteful number, since it uses less digits than its factorization.

13240404210140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344403 (or 344401 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 13240404210140 its reverse (4101240404231), we get a palindrome (17341644614371).

The spelling of 13240404210140 in words is "thirteen trillion, two hundred forty billion, four hundred four million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 71 86 142 172 215 284 355 430 631 710 860 1262 1420 2524 3053 3155 6106 6310 12212 12620 15265 27133 30530 44801 54266 61060 89602 108532 135665 179204 224005 271330 343649 448010 542660 687298 896020 1374596 1718245 1926443 3436490 3852886 6872980 7705772 9632215 14776907 19264430 24399079 29553814 38528860 48798158 59107628 73884535 97596316 121995395 147769070 216842519 243990790 295538140 433685038 487981580 867370076 1049160397 1084212595 2098320794 2168425190 4196641588 4336850380 5245801985 9324228317 10491603970 15395818849 18648456634 20983207940 30791637698 37296913268 46621141585 61583275396 76979094245 93242283170 153958188490 186484566340 307916376980 662020210507 1324040421014 2648080842028 3310101052535 6620202105070 13240404210140