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504013404141 = 321323187295951
BaseRepresentation
bin1110101010110011000…
…10100011011111101101
31210011221120010202201100
413111121202203133231
531224204412413031
61023312432233313
751261631151142
oct7253142433755
91704846122640
10504013404141
11184829477425
128182109b839
13386b3783620
141a5742663c9
15d19d154de6
hex75598a37ed

504013404141 has 24 divisors (see below), whose sum is σ = 818108718336. Its totient is φ = 296676784800.

The previous prime is 504013404133. The next prime is 504013404143. The reversal of 504013404141 is 141404310405.

504013404141 is a `hidden beast` number, since 504 + 0 + 13 + 4 + 0 + 4 + 141 = 666.

It is not a de Polignac number, because 504013404141 - 23 = 504013404133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504013404143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93645285 + ... + 93650666.

It is an arithmetic number, because the mean of its divisors is an integer number (34087863264).

Almost surely, 2504013404141 is an apocalyptic number.

It is an amenable number.

504013404141 is a deficient number, since it is larger than the sum of its proper divisors (314095314195).

504013404141 is a wasteful number, since it uses less digits than its factorization.

504013404141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187295993 (or 187295990 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 504013404141 its reverse (141404310405), we get a palindrome (645417714546).

The spelling of 504013404141 in words is "five hundred four billion, thirteen million, four hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 2691 187295951 561887853 1685663559 2434847363 4307806873 7304542089 12923420619 21913626267 38770261857 56001489349 168004468047 504013404141