Search a number
-
+
41003250400 = 25527149157313
BaseRepresentation
bin100110001011111110…
…111111001011100000
310220211120211221022201
4212023332333023200
51132433313003100
630500413542544
72651045610040
oct461376771340
9126746757281
1041003250400
11164312a1a02
127b43aa4a54
133b35b8a058
141dad923720
1510eeb0b36a
hex98bfbf2e0

41003250400 has 288 divisors, whose sum is σ = 116270683200. Its totient is φ = 13830635520.

The previous prime is 41003250389. The next prime is 41003250403. The reversal of 41003250400 is 405230014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41003250403) 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, 131000644 + ... + 131000956.

It is an arithmetic number, because the mean of its divisors is an integer number (403717650).

Almost surely, 241003250400 is an apocalyptic number.

41003250400 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 41003250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58135341600).

41003250400 is an abundant number, since it is smaller than the sum of its proper divisors (75267432800).

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

41003250400 is a wasteful number, since it uses less digits than its factorization.

41003250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 41003250400 its reverse (405230014), we get a palindrome (41408480414).

The spelling of 41003250400 in words is "forty-one billion, three million, two hundred fifty thousand, four hundred".