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130440000013345 = 51161366120532851
BaseRepresentation
bin11101101010001001101101…
…110111011000010000100001
3122002211221102212122212120101
4131222021231313120100201
5114044112110000411340
61141231150405142401
736321656541130261
oct3552115567302041
9562757385585511
10130440000013345
11386203254976a0
12127681900baa01
1357a2592c7bb79
14242d4889337a1
15101309c97cc9a
hex76a26ddd8421

130440000013345 has 64 divisors (see below), whose sum is σ = 171438681293568. Its totient is φ = 94488197760000.

The previous prime is 130440000013321. The next prime is 130440000013439. The reversal of 130440000013345 is 543310000044031.

It is not a de Polignac number, because 130440000013345 - 25 = 130440000013313 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 45752366170 + ... + 45752369020.

It is an arithmetic number, because the mean of its divisors is an integer number (2678729395212).

Almost surely, 2130440000013345 is an apocalyptic number.

It is an amenable number.

130440000013345 is a deficient number, since it is larger than the sum of its proper divisors (40998681280223).

130440000013345 is a wasteful number, since it uses less digits than its factorization.

130440000013345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 130440000013345 its reverse (543310000044031), we get a palindrome (673750000057376).

The spelling of 130440000013345 in words is "one hundred thirty trillion, four hundred forty billion, thirteen thousand, three hundred forty-five".

Divisors: 1 5 11 55 613 661 2053 2851 3065 3305 6743 7271 10265 14255 22583 31361 33715 36355 112915 156805 405193 1258489 1357033 1747663 1884511 2025965 4457123 5853103 6292445 6785165 8738315 9422555 13843379 14927363 19224293 20729621 22285615 29265515 64384133 69216895 74636815 96121465 103648105 321920665 831861229 1155205243 3587952139 3868901083 4159306145 5776026215 9150473519 12707257673 17939760695 19344505415 39467473529 42557911913 45752367595 63536288365 197337367645 212789559565 2371636363879 11858181819395 26088000002669 130440000013345