Search a number
-
+
41210304000 = 29353375801
BaseRepresentation
bin100110011000010100…
…110101011000000000
310221101000110100110120
4212120110311120000
51133344314212000
630533131500240
72656141542615
oct463024653000
9127330410416
1041210304000
1116528162388
127ba12b7680
133b69a43a88
141dcd22050c
151112daa6a0
hex998535600

41210304000 has 320 divisors, whose sum is σ = 140741295552. Its totient is φ = 10690560000.

The previous prime is 41210303989. The next prime is 41210304019. The reversal of 41210304000 is 40301214.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7101100 + ... + 7106900.

Almost surely, 241210304000 is an apocalyptic number.

41210304000 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 41210304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70370647776).

41210304000 is an abundant number, since it is smaller than the sum of its proper divisors (99530991552).

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

41210304000 is an equidigital number, since it uses as much as digits as its factorization.

41210304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 41210304000 its reverse (40301214), we get a palindrome (41250605214).

The spelling of 41210304000 in words is "forty-one billion, two hundred ten million, three hundred four thousand".