Search a number
-
+
41303243520000 = 211335471121783
BaseRepresentation
bin10010110010000101010010…
…01010000111100000000000
312102020112220001112100112000
421121002221022013200000
520403203020320120000
6223502240443504000
711462026610143560
oct1131025112074000
9172215801470460
1041303243520000
1112184675214900
124770a18828000
131a07b5765a4b7
14a2b13273ada0
154b95d378a000
hex2590a9287800

41303243520000 has 5760 divisors, whose sum is σ = 205806150950400. Its totient is φ = 7980318720000.

The previous prime is 41303243519971. The next prime is 41303243520013. The reversal of 41303243520000 is 2534230314.

41303243520000 is a `hidden beast` number, since 4 + 1 + 303 + 2 + 4 + 352 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 497629439959 + ... + 497629440041.

It is an arithmetic number, because the mean of its divisors is an integer number (35730234540).

Almost surely, 241303243520000 is an apocalyptic number.

41303243520000 is a gapful number since it is divisible by the number (40) 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 41303243520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102903075475200).

41303243520000 is an abundant number, since it is smaller than the sum of its proper divisors (164502907430400).

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

41303243520000 is a wasteful number, since it uses less digits than its factorization.

41303243520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 41303243520000 its reverse (2534230314), we get a palindrome (41305777750314).

The spelling of 41303243520000 in words is "forty-one trillion, three hundred three billion, two hundred forty-three million, five hundred twenty thousand".