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13420025141200 = 2452171973533109
BaseRepresentation
bin1100001101001001011111…
…0101001101011111010000
31202111221102121220110202121
43003102113311031133100
53224333202414004300
644313024025024024
72553364506400306
oct303222765153720
952457377813677
1013420025141200
114304445373067
121608a83325014
1376466cc64922
14345765976276
1518414411581a
hexc3497d4d7d0

13420025141200 has 60 divisors (see below), whose sum is σ = 34138175736780. Its totient is φ = 5052244756480.

The previous prime is 13420025141191. The next prime is 13420025141209. The reversal of 13420025141200 is 214152002431.

It is an interprime number because it is at equal distance from previous prime (13420025141191) and next prime (13420025141209).

It can be written as a sum of positive squares in 6 ways, for example, as 59625825856 + 13360399315344 = 244184^2 + 3655188^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420025141209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 986759755 + ... + 986773354.

It is an arithmetic number, because the mean of its divisors is an integer number (568969595613).

Almost surely, 213420025141200 is an apocalyptic number.

13420025141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13420025141200 is an abundant number, since it is smaller than the sum of its proper divisors (20718150595580).

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

13420025141200 is a wasteful number, since it uses less digits than its factorization.

13420025141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973533144 (or 1973533133 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 13420025141200 its reverse (214152002431), we get a palindrome (13634177143631).

The spelling of 13420025141200 in words is "thirteen trillion, four hundred twenty billion, twenty-five million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 1973533109 3947066218 7894132436 9867665545 15788264872 19735331090 31576529744 33550062853 39470662180 49338327725 67100125706 78941324360 98676655450 134200251412 157882648720 167750314265 197353310900 268400502824 335500628530 394706621800 536801005648 671001257060 789413243600 838751571325 1342002514120 1677503142650 2684005028240 3355006285300 6710012570600 13420025141200