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14130243332032 = 266127971294039
BaseRepresentation
bin1100110110011111010000…
…1000100110011111000000
31212000211121221201202011211
43031213310020212133000
53323002214243111112
650015202201415504
72655606413405542
oct315476410463700
955024557652154
1014130243332032
114558669a93773
121702651a9a594
137b6626375119
1436bc9bd99692
151978602ca0a7
hexcd9f42267c0

14130243332032 has 56 divisors (see below), whose sum is σ = 28509580146080. Its totient is φ = 6946810076160.

The previous prime is 14130243331991. The next prime is 14130243332039. The reversal of 14130243332032 is 23023334203141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14130243331985 and 14130243332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130243332039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10272469 + ... + 11566507.

Almost surely, 214130243332032 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 14130243332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254790073040).

14130243332032 is an abundant number, since it is smaller than the sum of its proper divisors (14379336814048).

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

14130243332032 is a wasteful number, since it uses less digits than its factorization.

14130243332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296909 (or 1296899 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 14130243332032 its reverse (23023334203141), we get a palindrome (37153577535173).

The spelling of 14130243332032 in words is "fourteen trillion, one hundred thirty billion, two hundred forty-three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 2797 3904 5594 11188 22376 44752 89504 170617 179008 341234 682468 1294039 1364936 2588078 2729872 5176156 5459744 10352312 10919488 20704624 41409248 78936379 82818496 157872758 315745516 631491032 1262982064 2525964128 3619427083 5051928256 7238854166 14477708332 28955416664 57910833328 115821666656 220785052063 231643333312 441570104126 883140208252 1766280416504 3532560833008 7065121666016 14130243332032