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13104304040214 = 2331097451298799
BaseRepresentation
bin1011111010110001010101…
…1000110010100100010110
31201101202111110221202202000
42332230111120302210112
53204200103313241324
643512011214100130
72521516604331162
oct276542530624426
951352443852660
1013104304040214
1141a2560002a22
121577850aaa646
137409660a02ca
14334374941ca2
1517ad166a29c9
hexbeb15632916

13104304040214 has 64 divisors (see below), whose sum is σ = 29391880320000. Its totient is φ = 4327431674400.

The previous prime is 13104304040147. The next prime is 13104304040251. The reversal of 13104304040214 is 41204040340131.

13104304040214 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 43 + 0 + 404 + 0 + 214 = 666.

13104304040214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43707187 + ... + 44005985.

It is an arithmetic number, because the mean of its divisors is an integer number (459248130000).

Almost surely, 213104304040214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13104304040214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695940160000).

13104304040214 is an abundant number, since it is smaller than the sum of its proper divisors (16287576279786).

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

13104304040214 is a wasteful number, since it uses less digits than its factorization.

13104304040214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306370 (or 306364 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13104304040214 its reverse (41204040340131), we get a palindrome (54308344380345).

The spelling of 13104304040214 in words is "thirteen trillion, one hundred four billion, three hundred four million, forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 109 218 327 654 981 1962 2943 5886 7451 14902 22353 44706 67059 134118 201177 298799 402354 597598 812159 896397 1624318 1792794 2436477 2689191 4872954 5378382 7309431 8067573 14618862 16135146 21928293 32569091 43856586 65138182 97707273 195414546 293121819 586243638 879365457 1758730914 2226351349 4452702698 6679054047 13358108094 20037162141 40074324282 60111486423 120222972846 242672297041 485344594082 728016891123 1456033782246 2184050673369 4368101346738 6552152020107 13104304040214