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130441003330040 = 23513755933185353
BaseRepresentation
bin11101101010001010101001…
…101010101110100111111000
3122002212001000210120122022222
4131222022221222232213320
5114044121133323030130
61141231434125503212
736322023443153654
oct3552125152564770
9562761023518288
10130441003330040
113862079a876347
1212768410111b08
1357a26c2aaa8a0
14242d541ca5a64
15101310aab6ce5
hex76a2a9aae9f8

130441003330040 has 64 divisors (see below), whose sum is σ = 316110408062400. Its totient is φ = 48156458959872.

The previous prime is 130441003330037. The next prime is 130441003330067. The reversal of 130441003330040 is 40033300144031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 130441003329991 and 130441003330009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12661997 + ... + 20523356.

It is an arithmetic number, because the mean of its divisors is an integer number (4939225125975).

Almost surely, 2130441003330040 is an apocalyptic number.

130441003330040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130441003330040 is an abundant number, since it is smaller than the sum of its proper divisors (185669404732360).

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

130441003330040 is a wasteful number, since it uses less digits than its factorization.

130441003330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33192936 (or 33192932 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 130441003330040 its reverse (40033300144031), we get a palindrome (170474303474071).

The spelling of 130441003330040 in words is "one hundred thirty trillion, four hundred forty-one billion, three million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7559 15118 30236 37795 60472 75590 98267 151180 196534 302360 393068 491335 786136 982670 1965340 3930680 33185353 66370706 132741412 165926765 265482824 331853530 431409589 663707060 862819178 1327414120 1725638356 2157047945 3451276712 4314095890 8628191780 17256383560 250848083327 501696166654 1003392333308 1254240416635 2006784666616 2508480833270 3261025083251 5016961666540 6522050166502 10033923333080 13044100333004 16305125416255 26088200666008 32610250832510 65220501665020 130441003330040