Search a number
-
+
14055586106880 = 2935101113160357
BaseRepresentation
bin1100110010001001001000…
…1101111000111000000000
31211202200220221222202102210
43030202102031320320000
53320241320020410010
645521014102142120
72650324345434153
oct314422215707000
954680827882383
1014055586106880
114529a38a2449a
1216b0097421940
137ac5890c5556
14368418a2bc9a
15195940dc0b20
hexcc892378e00

14055586106880 has 320 divisors, whose sum is σ = 45780710614848. Its totient is φ = 3678181785600.

The previous prime is 14055586106839. The next prime is 14055586106893. The reversal of 14055586106880 is 8860168555041.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 14055586106880.

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, 87571662 + ... + 87732018.

Almost surely, 214055586106880 is an apocalyptic number.

14055586106880 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 14055586106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890355307424).

14055586106880 is an abundant number, since it is smaller than the sum of its proper divisors (31725124507968).

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

14055586106880 is a wasteful number, since it uses less digits than its factorization.

14055586106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160597 (or 160581 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 57.

The spelling of 14055586106880 in words is "fourteen trillion, fifty-five billion, five hundred eighty-six million, one hundred six thousand, eight hundred eighty".