Search a number
-
+
14055053213344 = 25111367113405689
BaseRepresentation
bin1100110010000111001001…
…1101000011111010100000
31211202122112211020221221011
43030201302131003322200
53320234222110311334
645520445144310304
72650305215060533
oct314416235037240
954678484227834
1014055053213344
114529795140710
1216abb68a72394
137ac502894430
143683a7d52a1a
1519590e20b564
hexcc872743ea0

14055053213344 has 192 divisors, whose sum is σ = 33285715585920. Its totient is φ = 5757783736320.

The previous prime is 14055053213281. The next prime is 14055053213347. The reversal of 14055053213344 is 44331235055041.

It is a junction number, because it is equal to n+sod(n) for n = 14055053213297 and 14055053213306.

It is not an unprimeable number, because it can be changed into a prime (14055053213347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34442052 + ... + 34847740.

It is an arithmetic number, because the mean of its divisors is an integer number (173363102010).

Almost surely, 214055053213344 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 14055053213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642857792960).

14055053213344 is an abundant number, since it is smaller than the sum of its proper divisors (19230662372576).

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

14055053213344 is a wasteful number, since it uses less digits than its factorization.

14055053213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405903 (or 405895 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 14055053213344 its reverse (44331235055041), we get a palindrome (58386288268385).

The spelling of 14055053213344 in words is "fourteen trillion, fifty-five billion, fifty-three million, two hundred thirteen thousand, three hundred forty-four".