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13342224040 = 2354360112907
BaseRepresentation
bin11000110110100001…
…00010111010101000
31021102211202012120221
430123100202322220
5204311102132130
610043534055424
7651430014235
oct143320427250
937384665527
1013342224040
115727379442
12270434a574
131348264732
14907db078c
1553150187a
hex31b422ea8

13342224040 has 64 divisors (see below), whose sum is σ = 30771639360. Its totient is φ = 5203699200.

The previous prime is 13342224037. The next prime is 13342224043. The reversal of 13342224040 is 4042224331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13342224037) and next prime (13342224043).

It is a junction number, because it is equal to n+sod(n) for n = 13342223996 and 13342224014.

It is not an unprimeable number, because it can be changed into a prime (13342224043) 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, 1027267 + ... + 1040173.

It is an arithmetic number, because the mean of its divisors is an integer number (480806865).

Almost surely, 213342224040 is an apocalyptic number.

13342224040 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 13342224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385819680).

13342224040 is an abundant number, since it is smaller than the sum of its proper divisors (17429415320).

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

13342224040 is a wasteful number, since it uses less digits than its factorization.

13342224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562 (or 13558 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 13342224040 its reverse (4042224331), we get a palindrome (17384448371).

The spelling of 13342224040 in words is "thirteen billion, three hundred forty-two million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 601 860 1202 1720 2404 3005 4808 6010 12020 12907 24040 25814 25843 51628 51686 64535 103256 103372 129070 129215 206744 258140 258430 516280 516860 555001 1033720 1110002 2220004 2775005 4440008 5550010 7757107 11100020 15514214 22200040 31028428 38785535 62056856 77571070 155142140 310284280 333555601 667111202 1334222404 1667778005 2668444808 3335556010 6671112020 13342224040