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13342431120 = 2435172132303
BaseRepresentation
bin11000110110100010…
…10101011110010000
31021102212010201122120
430123101111132100
5204311130243440
610043542334240
7651431536044
oct143321253620
937385121576
1013342431120
1157274aaa87
12270442a380
131348307a75
14908026024
15531542dd0
hex31b455790

13342431120 has 80 divisors (see below), whose sum is σ = 41386851072. Its totient is φ = 3555804160.

The previous prime is 13342431071. The next prime is 13342431131. The reversal of 13342431120 is 2113424331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 396889 + ... + 429191.

Almost surely, 213342431120 is an apocalyptic number.

13342431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13342431120 is an abundant number, since it is smaller than the sum of its proper divisors (28044419952).

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

13342431120 is a wasteful number, since it uses less digits than its factorization.

13342431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34040 (or 34034 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13342431120 its reverse (2113424331), we get a palindrome (15455855451).

It can be divided in two parts, 133424311 and 20, that added together give a palindrome (133424331).

The spelling of 13342431120 in words is "thirteen billion, three hundred forty-two million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1721 3442 5163 6884 8605 10326 13768 17210 20652 25815 27536 32303 34420 41304 51630 64606 68840 82608 96909 103260 129212 137680 161515 193818 206520 258424 323030 387636 413040 484545 516848 646060 775272 969090 1292120 1550544 1938180 2584240 3876360 7752720 55593463 111186926 166780389 222373852 277967315 333560778 444747704 555934630 667121556 833901945 889495408 1111869260 1334243112 1667803890 2223738520 2668486224 3335607780 4447477040 6671215560 13342431120