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13433243040 = 2533571313391
BaseRepresentation
bin11001000001010111…
…10000010110100000
31021200012000110012000
430200223300112200
5210002402234130
610100545004000
7653613452610
oct144053602640
937605013160
1013433243040
115773796358
12272a923600
131361082429
14916104a40
155394d0260
hex320af05a0

13433243040 has 384 divisors, whose sum is σ = 54159114240. Its totient is φ = 3046118400.

The previous prime is 13433243017. The next prime is 13433243059. The reversal of 13433243040 is 4034233431.

13433243040 is a `hidden beast` number, since 1 + 34 + 3 + 324 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13433242995 and 13433243013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3959745 + ... + 3963135.

It is an arithmetic number, because the mean of its divisors is an integer number (141039360).

Almost surely, 213433243040 is an apocalyptic number.

13433243040 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 13433243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27079557120).

13433243040 is an abundant number, since it is smaller than the sum of its proper divisors (40725871200).

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

13433243040 is a wasteful number, since it uses less digits than its factorization.

13433243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 13433243040 its reverse (4034233431), we get a palindrome (17467476471).

The spelling of 13433243040 in words is "thirteen billion, four hundred thirty-three million, two hundred forty-three thousand, forty".