Search a number
-
+
41242003400 = 235213171039059
BaseRepresentation
bin100110011010001101…
…110000011111001000
310221110020002211212102
4212122031300133020
51133430423102100
630540223132532
72660005146653
oct463215603710
9127406084772
1041242003400
1116544043634
127baba44148
133b73492410
141dd351289a
151115a6ccd5
hex99a3707c8

41242003400 has 192 divisors, whose sum is σ = 110411683200. Its totient is φ = 14191349760.

The previous prime is 41242003391. The next prime is 41242003427. The reversal of 41242003400 is 430024214.

It is a super-2 number, since 2×412420034002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4548071 + ... + 4557129.

It is an arithmetic number, because the mean of its divisors is an integer number (575060850).

Almost surely, 241242003400 is an apocalyptic number.

41242003400 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 41242003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55205841600).

41242003400 is an abundant number, since it is smaller than the sum of its proper divisors (69169679800).

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

41242003400 is a wasteful number, since it uses less digits than its factorization.

41242003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41242003400 its reverse (430024214), we get a palindrome (41672027614).

The spelling of 41242003400 in words is "forty-one billion, two hundred forty-two million, three thousand, four hundred".