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14055156391680 = 28365234115973
BaseRepresentation
bin1100110010000111100010…
…0110101001111100000000
31211202122211000101222000000
43030201320212221330000
53320234430014013210
645520503312000000
72650310610061155
oct314417046517400
954678730358000
1014055156391680
114529838403068
1216abb97530000
137ac51b07b7c1
143683b793022c
151959182dcac0
hexcc8789a9f00

14055156391680 has 1008 divisors, whose sum is σ = 53959327039296. Its totient is φ = 3497423339520.

The previous prime is 14055156391559. The next prime is 14055156391687. The reversal of 14055156391680 is 8619365155041.

It is a happy number.

14055156391680 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 515 + 6 + 39 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14055156391687) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 879924174 + ... + 879940146.

It is an arithmetic number, because the mean of its divisors is an integer number (53531078412).

Almost surely, 214055156391680 is an apocalyptic number.

14055156391680 is a gapful number since it is divisible by the number (10) 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 14055156391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26979663519648).

14055156391680 is an abundant number, since it is smaller than the sum of its proper divisors (39904170647616).

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

14055156391680 is an equidigital number, since it uses as much as digits as its factorization.

14055156391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16076 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 14055156391680 in words is "fourteen trillion, fifty-five billion, one hundred fifty-six million, three hundred ninety-one thousand, six hundred eighty".