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13030560040 = 2354340918523
BaseRepresentation
bin11000010001010111…
…01001000100101000
31020122010022000221211
430020223221010220
5203141310410130
65553002042504
7640623634651
oct141053510450
936563260854
1013030560040
115587458693
122637aa9434
1312c8811874
148b8842528
15513e8ba2a
hex308ae9128

13030560040 has 64 divisors (see below), whose sum is σ = 30075566400. Its totient is φ = 5078287872.

The previous prime is 13030560013. The next prime is 13030560089. The reversal of 13030560040 is 4006503031.

It is a junction number, because it is equal to n+sod(n) for n = 13030559993 and 13030560020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694219 + ... + 712741.

It is an arithmetic number, because the mean of its divisors is an integer number (469930725).

Almost surely, 213030560040 is an apocalyptic number.

13030560040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13030560040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037783200).

13030560040 is an abundant number, since it is smaller than the sum of its proper divisors (17045006360).

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

13030560040 is a wasteful number, since it uses less digits than its factorization.

13030560040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18986 (or 18982 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 13030560040 in words is "thirteen billion, thirty million, five hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 409 430 818 860 1636 1720 2045 3272 4090 8180 16360 17587 18523 35174 37046 70348 74092 87935 92615 140696 148184 175870 185230 351740 370460 703480 740920 796489 1592978 3185956 3982445 6371912 7575907 7964890 15151814 15929780 30303628 31859560 37879535 60607256 75759070 151518140 303036280 325764001 651528002 1303056004 1628820005 2606112008 3257640010 6515280020 13030560040