Search a number
-
+
41448671214480 = 24325233872964627
BaseRepresentation
bin10010110110010100001010…
…10100101111101110010000
312102202110021011101200100200
421123022011110233232100
520413043334312330410
6224053131240015200
711505365466146205
oct1133120524575620
9172673234350320
1041448671214480
1112230312377162
124795044161500
131a1879286811a
14a341aab5dcac
154bd295c473c0
hex25b28552fb90

41448671214480 has 240 divisors, whose sum is σ = 145256558878080. Its totient is φ = 10571978115072.

The previous prime is 41448671214361. The next prime is 41448671214481. The reversal of 41448671214480 is 8441217684414.

41448671214480 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 86 + 71 + 2 + 14 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (41448671214481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641319927 + ... + 641384553.

It is an arithmetic number, because the mean of its divisors is an integer number (605235661992).

Almost surely, 241448671214480 is an apocalyptic number.

41448671214480 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 41448671214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72628279439040).

41448671214480 is an abundant number, since it is smaller than the sum of its proper divisors (103807887663600).

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

41448671214480 is a wasteful number, since it uses less digits than its factorization.

41448671214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103398 (or 103389 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

Adding to 41448671214480 its reverse (8441217684414), we get a palindrome (49889888898894).

The spelling of 41448671214480 in words is "forty-one trillion, four hundred forty-eight billion, six hundred seventy-one million, two hundred fourteen thousand, four hundred eighty".