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13441115040 = 253528002323
BaseRepresentation
bin11001000010010011…
…10010001110100000
31021200201211101112120
430201021302032200
5210011411140130
610101425424240
7654040410213
oct144111621640
937621741476
1013441115040
115778182741
12273149b080
1313628aa512
1491719377a
1553a037910
hex3212723a0

13441115040 has 48 divisors (see below), whose sum is σ = 42339513888. Its totient is φ = 3584297216.

The previous prime is 13441115029. The next prime is 13441115041. The reversal of 13441115040 is 4051114431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13441115040.

It is not an unprimeable number, because it can be changed into a prime (13441115041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14000682 + ... + 14001641.

It is an arithmetic number, because the mean of its divisors is an integer number (882073206).

Almost surely, 213441115040 is an apocalyptic number.

13441115040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441115040 is an abundant number, since it is smaller than the sum of its proper divisors (28898398848).

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

13441115040 is a wasteful number, since it uses less digits than its factorization.

13441115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28002341 (or 28002333 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13441115040 its reverse (4051114431), we get a palindrome (17492229471).

The spelling of 13441115040 in words is "thirteen billion, four hundred forty-one million, one hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 28002323 56004646 84006969 112009292 140011615 168013938 224018584 280023230 336027876 420034845 448037168 560046460 672055752 840069690 896074336 1120092920 1344111504 1680139380 2240185840 2688223008 3360278760 4480371680 6720557520 13441115040