Search a number
-
+
13430533323240 = 23335115009225697
BaseRepresentation
bin1100001101110000101000…
…1010101111100111101000
31202112221112221220102121000
43003130022022233213220
53230021213012320430
644321522443515000
72554216064434455
oct303341212574750
952487487812530
1013430533323240
114308947a22830
12160ab16528a60
13765656010417
143460813c082c
1518455b905e60
hexc370a2af9e8

13430533323240 has 256 divisors, whose sum is σ = 48848269536000. Its totient is φ = 3255222435840.

The previous prime is 13430533323217. The next prime is 13430533323253. The reversal of 13430533323240 is 4232333503431.

13430533323240 is a `hidden beast` number, since 1 + 3 + 4 + 30 + 53 + 332 + 3 + 240 = 666.

13430533323240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13430533323195 and 13430533323204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59394072 + ... + 59619768.

It is an arithmetic number, because the mean of its divisors is an integer number (190813552875).

Almost surely, 213430533323240 is an apocalyptic number.

13430533323240 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 13430533323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24424134768000).

13430533323240 is an abundant number, since it is smaller than the sum of its proper divisors (35417736212760).

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

13430533323240 is a wasteful number, since it uses less digits than its factorization.

13430533323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230737 (or 230727 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 13430533323240 its reverse (4232333503431), we get a palindrome (17662866826671).

The spelling of 13430533323240 in words is "thirteen trillion, four hundred thirty billion, five hundred thirty-three million, three hundred twenty-three thousand, two hundred forty".