Search a number
-
+
13230030641256 = 2332111331437113577
BaseRepresentation
bin1100000010000101101101…
…0001101101100001101000
31201211210000120201212001100
43000201123101231201220
53213230100321010011
644045443035321400
72533560330653352
oct300413321554150
951753016655040
1013230030641256
114240908433180
12159809a5b0260
1374c78180a4b0
1433a4a064a0d2
1517e224288d56
hexc085b46d868

13230030641256 has 768 divisors, whose sum is σ = 45093593825280. Its totient is φ = 3448521216000.

The previous prime is 13230030641183. The next prime is 13230030641281. The reversal of 13230030641256 is 65214603003231.

13230030641256 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 0 + 3 + 0 + 641 + 2 + 5 + 6 = 666.

13230030641256 is nontrivially palindromic in base 7.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13230030641256.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 974437540 + ... + 974451116.

It is an arithmetic number, because the mean of its divisors is an integer number (58715616960).

Almost surely, 213230030641256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13230030641256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22546796912640).

13230030641256 is an abundant number, since it is smaller than the sum of its proper divisors (31863563184024).

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

13230030641256 is a wasteful number, since it uses less digits than its factorization.

13230030641256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13758 (or 13751 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13230030641256 its reverse (65214603003231), we get a palindrome (78444633644487).

The spelling of 13230030641256 in words is "thirteen trillion, two hundred thirty billion, thirty million, six hundred forty-one thousand, two hundred fifty-six".