Search a number
-
+
41403144330 = 2355234571621
BaseRepresentation
bin100110100011110100…
…011101100010001010
310221212110022122200000
4212203310131202022
51134243201104310
631004221023430
72664002630412
oct464364354212
9127773278600
1041403144330
1116616aa5159
1280359b4b76
133b9a992292
14200aa9b642
151124c9d4c0
hex9a3d1d88a

41403144330 has 192 divisors, whose sum is σ = 116815765248. Its totient is φ = 10531192320.

The previous prime is 41403144281. The next prime is 41403144383. The reversal of 41403144330 is 3344130414.

41403144330 is a `hidden beast` number, since 4 + 14 + 0 + 314 + 4 + 330 = 666.

It is a super-2 number, since 2×414031443302 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 41403144294 and 41403144303.

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 95 ways as a sum of consecutive naturals, for example, 25540920 + ... + 25542540.

It is an arithmetic number, because the mean of its divisors is an integer number (608415444).

Almost surely, 241403144330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41403144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58407882624).

41403144330 is an abundant number, since it is smaller than the sum of its proper divisors (75412620918).

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

41403144330 is a wasteful number, since it uses less digits than its factorization.

41403144330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41403144330 its reverse (3344130414), we get a palindrome (44747274744).

The spelling of 41403144330 in words is "forty-one billion, four hundred three million, one hundred forty-four thousand, three hundred thirty".