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14055400513000 = 23537111631119863
BaseRepresentation
bin1100110010001000011100…
…1001111001110111101000
31211202200110000202121111101
43030202013021321313220
53320240430012404000
645520543432211144
72650316633060140
oct314420711716750
954680400677441
1014055400513000
114529953191020
1216b0045239ab4
137ac5598134a2
143683dc119920
1519592e95ee6a
hexcc887279de8

14055400513000 has 256 divisors, whose sum is σ = 41256864829440. Its totient is φ = 4354023456000.

The previous prime is 14055400512949. The next prime is 14055400513009. The reversal of 14055400513000 is 31500455041.

14055400513000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 14055400513000.

It is not an unprimeable number, because it can be changed into a prime (14055400513009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11991069 + ... + 13110931.

It is an arithmetic number, because the mean of its divisors is an integer number (161159628240).

Almost surely, 214055400513000 is an apocalyptic number.

14055400513000 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 14055400513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20628432414720).

14055400513000 is an abundant number, since it is smaller than the sum of its proper divisors (27201464316440).

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

14055400513000 is a wasteful number, since it uses less digits than its factorization.

14055400513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120065 (or 1120051 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 14055400513000 its reverse (31500455041), we get a palindrome (14086900968041).

The spelling of 14055400513000 in words is "fourteen trillion, fifty-five billion, four hundred million, five hundred thirteen thousand".