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104004414241 = 7131960152929
BaseRepresentation
bin110000011011100100…
…1010110101100100001
3100221110020122122220021
41200313021112230201
53201000112223431
6115440131313441
710341216635410
oct1406711265441
9327406578807
10104004414241
1140120864862
12181a6a4b881
139a66318420
145068c03477
152a8aa82b11
hex1837256b21

104004414241 has 16 divisors (see below), whose sum is σ = 134742563200. Its totient is φ = 77958194688.

The previous prime is 104004414169. The next prime is 104004414301. The reversal of 104004414241 is 142414400401.

It is a cyclic number.

It is not a de Polignac number, because 104004414241 - 233 = 95414479649 is a prime.

It is a super-2 number, since 2×1040044142412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104004414841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30074736 + ... + 30078193.

It is an arithmetic number, because the mean of its divisors is an integer number (8421410200).

Almost surely, 2104004414241 is an apocalyptic number.

It is an amenable number.

104004414241 is a deficient number, since it is larger than the sum of its proper divisors (30738148959).

104004414241 is a wasteful number, since it uses less digits than its factorization.

104004414241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60152968.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 104004414241 its reverse (142414400401), we get a palindrome (246418814642).

The spelling of 104004414241 in words is "one hundred four billion, four million, four hundred fourteen thousand, two hundred forty-one".

Divisors: 1 7 13 19 91 133 247 1729 60152929 421070503 781988077 1142905651 5473916539 8000339557 14857773463 104004414241