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13141224321219 = 3679929245621
BaseRepresentation
bin1011111100111010111000…
…0000011111000011000011
31201112021210111222101000000
42333032232000133003003
53210301211411234334
643540554535531043
72524264534463331
oct277165600370303
951467714871000
1013141224321219
1142071865a1555
121582a35529a83
1374429b0a8b27
143360780b4b51
1517bc77aea299
hexbf3ae01f0c3

13141224321219 has 56 divisors (see below), whose sum is σ = 19973784542400. Its totient is φ = 8640573626880.

The previous prime is 13141224321191. The next prime is 13141224321319. The reversal of 13141224321219 is 91212342214131.

13141224321219 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 2 + 2 + 432 + 1 + 219 = 666.

It is not a de Polignac number, because 13141224321219 - 213 = 13141224313027 is a prime.

It is a super-2 number, since 2×131412243212192 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13141224321019) 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 55 ways as a sum of consecutive naturals, for example, 53379229 + ... + 53624849.

Almost surely, 213141224321219 is an apocalyptic number.

13141224321219 is a deficient number, since it is larger than the sum of its proper divisors (6832560221181).

13141224321219 is an frugal number, since it uses more digits than its factorization.

13141224321219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246647 (or 246632 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 13141224321219 in words is "thirteen trillion, one hundred forty-one billion, two hundred twenty-four million, three hundred twenty-one thousand, two hundred nineteen".

Divisors: 1 3 9 27 79 81 237 243 711 729 929 2133 2787 6399 8361 19197 25083 57591 73391 75249 220173 225747 245621 660519 677241 736863 1981557 2210589 5944671 6631767 17834013 19404059 19895301 53502039 58212177 59685903 174636531 179057709 228181909 523909593 684545727 1571728779 2053637181 4715186337 6160911543 14145559011 18026370811 18482734629 54079112433 55448203887 162237337299 166344611661 486712011897 1460136035691 4380408107073 13141224321219