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13115410040 = 2351378292887
BaseRepresentation
bin11000011011011110…
…10100011001111000
31020212000221212021102
430031233110121320
5203330021110130
610005232430532
7643004101025
oct141557243170
936760855242
1013115410040
115620341757
1226603a8448
13131027c675
148c5c0c54c
1551b64c645
hex30dbd4678

13115410040 has 64 divisors (see below), whose sum is σ = 29771236800. Its totient is φ = 5199787008.

The previous prime is 13115410031. The next prime is 13115410043. The reversal of 13115410040 is 4001451131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13115409994 and 13115410021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13115410043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4541477 + ... + 4544363.

It is an arithmetic number, because the mean of its divisors is an integer number (465175575).

Almost surely, 213115410040 is an apocalyptic number.

13115410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13115410040 is an abundant number, since it is smaller than the sum of its proper divisors (16655826760).

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

13115410040 is a wasteful number, since it uses less digits than its factorization.

13115410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 13115410040 its reverse (4001451131), we get a palindrome (17116861171).

The spelling of 13115410040 in words is "thirteen billion, one hundred fifteen million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 829 1096 1370 1658 2740 2887 3316 4145 5480 5774 6632 8290 11548 14435 16580 23096 28870 33160 57740 113573 115480 227146 395519 454292 567865 791038 908584 1135730 1582076 1977595 2271460 2393323 3164152 3955190 4542920 4786646 7910380 9573292 11966615 15820760 19146584 23933230 47866460 95732920 327885251 655770502 1311541004 1639426255 2623082008 3278852510 6557705020 13115410040