Search a number
-
+
14096750893056 = 21133131731127293
BaseRepresentation
bin1100110100100010011111…
…0101000101100000000000
31211220122011210210120012000
43031020213311011200000
53321430121212034211
645551542530304000
72653312425361056
oct315104765054000
954818153716160
1014096750893056
114545442417637
1216b8065428000
137b34195900b0
1436a401ba01d6
15196a4ec89656
hexcd227d45800

14096750893056 has 1536 divisors, whose sum is σ = 49707476582400. Its totient is φ = 3906144829440.

The previous prime is 14096750893037. The next prime is 14096750893063. The reversal of 14096750893056 is 65039805769041.

14096750893056 is a `hidden beast` number, since 1 + 4 + 0 + 96 + 7 + 508 + 9 + 30 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 14096750892984 and 14096750893002.

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 127 ways as a sum of consecutive naturals, for example, 48111777646 + ... + 48111777938.

It is an arithmetic number, because the mean of its divisors is an integer number (32361638400).

Almost surely, 214096750893056 is an apocalyptic number.

14096750893056 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 14096750893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24853738291200).

14096750893056 is an abundant number, since it is smaller than the sum of its proper divisors (35610725689344).

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

14096750893056 is a wasteful number, since it uses less digits than its factorization.

14096750893056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 14096750893056 in words is "fourteen trillion, ninety-six billion, seven hundred fifty million, eight hundred ninety-three thousand, fifty-six".