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13200434040 = 2335176470801
BaseRepresentation
bin11000100101100111…
…01010001101111000
31021001221221112021110
430102303222031320
5204013302342130
610021511040320
7645055560303
oct142263521570
937057845243
1013200434040
115664334522
1226849700a0
131324a7b721
148d3221b3a
15523d44ab0
hex312cea378

13200434040 has 64 divisors (see below), whose sum is σ = 41930796960. Its totient is φ = 3313049600.

The previous prime is 13200434017. The next prime is 13200434041. The reversal of 13200434040 is 4043400231.

13200434040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13200433998 and 13200434016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200434041) 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 15 ways as a sum of consecutive naturals, for example, 3233361 + ... + 3237440.

Almost surely, 213200434040 is an apocalyptic number.

13200434040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200434040 is an abundant number, since it is smaller than the sum of its proper divisors (28730362920).

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

13200434040 is a wasteful number, since it uses less digits than its factorization.

13200434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470832 (or 6470828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13200434040 its reverse (4043400231), we get a palindrome (17243834271).

The spelling of 13200434040 in words is "thirteen billion, two hundred million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 6470801 12941602 19412403 25883204 32354005 38824806 51766408 64708010 77649612 97062015 110003617 129416020 155299224 194124030 220007234 258832040 330010851 388248060 440014468 550018085 660021702 776496120 880028936 1100036170 1320043404 1650054255 2200072340 2640086808 3300108510 4400144680 6600217020 13200434040