Search a number
-
+
141244332400 = 2452353110831
BaseRepresentation
bin1000001110001011010…
…0010111100101110000
3111111120120010111220101
42003202310113211300
54303232022114100
6144515312122144
713130111005363
oct2034264274560
9444516114811
10141244332400
11549a081a526
122345a536354
131041c608c62
146b9c9bc0da
153a1a0b786a
hex20e2d17970

141244332400 has 30 divisors (see below), whose sum is σ = 339339509552. Its totient is φ = 56497732800.

The previous prime is 141244332371. The next prime is 141244332401. The reversal of 141244332400 is 4233442141.

It is a super-3 number, since 3×1412443324003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141244332401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 176555016 + ... + 176555815.

Almost surely, 2141244332400 is an apocalyptic number.

141244332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141244332400 is an abundant number, since it is smaller than the sum of its proper divisors (198095177152).

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

141244332400 is a wasteful number, since it uses less digits than its factorization.

141244332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353110849 (or 353110838 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 141244332400 its reverse (4233442141), we get a palindrome (145477774541).

The spelling of 141244332400 in words is "one hundred forty-one billion, two hundred forty-four million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 353110831 706221662 1412443324 1765554155 2824886648 3531108310 5649773296 7062216620 8827770775 14124433240 17655541550 28248866480 35311083100 70622166200 141244332400