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14214740436 = 223313591571093
BaseRepresentation
bin11010011110100001…
…11011100111010100
31100200122112122002000
431033100323213110
5213102433143221
610310303115300
71012153204641
oct151720734724
940618478060
1014214740436
116034939976
1229085a2b30
131456c57620
1498bc14dc8
15582deee26
hex34f43b9d4

14214740436 has 192 divisors, whose sum is σ = 40654790400. Its totient is φ = 4268339712.

The previous prime is 14214740429. The next prime is 14214740453. The reversal of 14214740436 is 63404741241.

14214740436 is a `hidden beast` number, since 1 + 4 + 214 + 7 + 4 + 0 + 436 = 666.

It is a super-3 number, since 3×142147404363 (a number of 31 digits) contains 333 as substring.

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 14214740436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13004706 + ... + 13005798.

It is an arithmetic number, because the mean of its divisors is an integer number (211743700).

Almost surely, 214214740436 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 14214740436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327395200).

14214740436 is an abundant number, since it is smaller than the sum of its proper divisors (26440049964).

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

14214740436 is a wasteful number, since it uses less digits than its factorization.

14214740436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 14214740436 in words is "fourteen billion, two hundred fourteen million, seven hundred forty thousand, four hundred thirty-six".