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13341230010240 = 2735111016254327
BaseRepresentation
bin1100001000100011111101…
…0001101000111110000000
31202020102001020222002100220
43002020333101220332000
53222040314340311430
644212513151543040
72544605055003366
oct302107721507600
952212036862326
1013341230010240
114283a90598a20
1215b5752b2aa80
1375a0c363a592
14341a0cc37636
151820817e5110
hexc223f468f80

13341230010240 has 256 divisors, whose sum is σ = 46850420528640. Its totient is φ = 3202214912000.

The previous prime is 13341230010149. The next prime is 13341230010301. The reversal of 13341230010240 is 4201003214331.

It is a happy number.

It is a super-2 number, since 2×133412300102402 (a number of 27 digits) contains 22 as substring.

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 13341230010240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994044 + ... + 5260283.

It is an arithmetic number, because the mean of its divisors is an integer number (183009455190).

Almost surely, 213341230010240 is an apocalyptic number.

13341230010240 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 13341230010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425210264320).

13341230010240 is an abundant number, since it is smaller than the sum of its proper divisors (33509190518400).

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

13341230010240 is a wasteful number, since it uses less digits than its factorization.

13341230010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254461 (or 6254449 counting only the distinct ones).

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

Adding to 13341230010240 its reverse (4201003214331), we get a palindrome (17542233224571).

The spelling of 13341230010240 in words is "thirteen trillion, three hundred forty-one billion, two hundred thirty million, ten thousand, two hundred forty".