Search a number
-
+
13044214140552 = 23327219152337013
BaseRepresentation
bin1011110111010001011111…
…0000000000111010001000
31201012000101201012120211200
42331310113300000322020
53202204022304444202
643424232415024200
72514261533526300
oct275642760007210
951160351176750
1013044214140552
11417a024902a21
121568080b0b060
137380aab27a6a
143314b416a600
1517949b0e2e1c
hexbdd17c00e88

13044214140552 has 288 divisors, whose sum is σ = 41391198650880. Its totient is φ = 3700216961280.

The previous prime is 13044214140521. The next prime is 13044214140557. The reversal of 13044214140552 is 25504141244031.

13044214140552 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 21 + 41 + 40 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13044214140557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352403998 + ... + 352441010.

It is an arithmetic number, because the mean of its divisors is an integer number (143719439760).

Almost surely, 213044214140552 is an apocalyptic number.

13044214140552 is a gapful number since it is divisible by the number (12) 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 13044214140552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20695599325440).

13044214140552 is an abundant number, since it is smaller than the sum of its proper divisors (28346984510328).

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

13044214140552 is a wasteful number, since it uses less digits than its factorization.

13044214140552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37753 (or 37739 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 13044214140552 its reverse (25504141244031), we get a palindrome (38548355384583).

The spelling of 13044214140552 in words is "thirteen trillion, forty-four billion, two hundred fourteen million, one hundred forty thousand, five hundred fifty-two".