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41302012412430 = 232571119547957251
BaseRepresentation
bin10010110010000010111111…
…10001110100001000001110
312102020102201020222121102100
421121001133301310020032
520403143010134144210
6223501514344535530
711461654240664640
oct1131013761641016
9172212636877370
1041302012412430
11121840a32a1530
1247707344815a6
131a079bc593b93
14a2b057030890
154b95606575c0
hex25905fc7420e

41302012412430 has 384 divisors, whose sum is σ = 140957538508800. Its totient is φ = 8128913760000.

The previous prime is 41302012412357. The next prime is 41302012412431. The reversal of 41302012412430 is 3421421020314.

41302012412430 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 201 + 2 + 412 + 43 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41302012412394 and 41302012412403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41302012412431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 721391305 + ... + 721448555.

It is an arithmetic number, because the mean of its divisors is an integer number (367076923200).

Almost surely, 241302012412430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41302012412430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70478769254400).

41302012412430 is an abundant number, since it is smaller than the sum of its proper divisors (99655526096370).

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

41302012412430 is a wasteful number, since it uses less digits than its factorization.

41302012412430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62780 (or 62777 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41302012412430 its reverse (3421421020314), we get a palindrome (44723433432744).

The spelling of 41302012412430 in words is "forty-one trillion, three hundred two billion, twelve million, four hundred twelve thousand, four hundred thirty".