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14174051136 = 2637293111731
BaseRepresentation
bin11010011001101011…
…01101101101000000
31100120210222101211220
431030311231231000
5213012024114021
610302251035040
71011150306150
oct151465555500
940523871756
1014174051136
116013978453
1228b6a3ba80
13144b6ac10b
14986662760
1557e563cc6
hex34cd6db40

14174051136 has 224 divisors, whose sum is σ = 45771694080. Its totient is φ = 3783628800.

The previous prime is 14174051117. The next prime is 14174051173. The reversal of 14174051136 is 63115047141.

14174051136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 14174051097 and 14174051106.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1202391 + ... + 1214121.

It is an arithmetic number, because the mean of its divisors is an integer number (204337920).

Almost surely, 214174051136 is an apocalyptic number.

14174051136 is a gapful number since it is divisible by the number (16) 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 14174051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22885847040).

14174051136 is an abundant number, since it is smaller than the sum of its proper divisors (31597642944).

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

14174051136 is a wasteful number, since it uses less digits than its factorization.

14174051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813 (or 11803 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 14174051136 its reverse (63115047141), we get a palindrome (77289098277).

The spelling of 14174051136 in words is "fourteen billion, one hundred seventy-four million, fifty-one thousand, one hundred thirty-six".