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13321241241040 = 2451427116689219
BaseRepresentation
bin1100000111011001011111…
…0110100010010111010000
31202011111110012120101212201
43001312113312202113100
53221223400224203130
644155405503132544
72543266530163345
oct301662766422720
952144405511781
1013321241241040
11427656343a857
1215b18b48a4154
137582593957b5
14340a742367cc
151817b1a46bca
hexc1d97da25d0

13321241241040 has 40 divisors (see below), whose sum is σ = 30993590345760. Its totient is φ = 5324762395776.

The previous prime is 13321241240987. The next prime is 13321241241149. The reversal of 13321241241040 is 4014214212331.

It is a happy number.

13321241241040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58230450 + ... + 58458769.

It is an arithmetic number, because the mean of its divisors is an integer number (774839758644).

Almost surely, 213321241241040 is an apocalyptic number.

13321241241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321241241040 is an abundant number, since it is smaller than the sum of its proper divisors (17672349104720).

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

13321241241040 is a wasteful number, since it uses less digits than its factorization.

13321241241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116690659 (or 116690653 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13321241241040 its reverse (4014214212331), we get a palindrome (17335455453371).

The spelling of 13321241241040 in words is "thirteen trillion, three hundred twenty-one billion, two hundred forty-one million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1427 2854 5708 7135 11416 14270 22832 28540 57080 114160 116689219 233378438 466756876 583446095 933513752 1166892190 1867027504 2333784380 4667568760 9335137520 166515515513 333031031026 666062062052 832577577565 1332124124104 1665155155130 2664248248208 3330310310260 6660620620520 13321241241040