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14324314501341 = 321317231823171761
BaseRepresentation
bin1101000001110010001110…
…1011010111000011011101
31212201101120002212121221100
43100130203223113003131
53334142144003020331
650244255500223313
73005616603211065
oct320344353270335
955641502777840
1014324314501341
1146229a9113699
121734193b3ab39
137cba14286350
1437742c8b63a5
1519c91cec3ae6
hexd0723ad70dd

14324314501341 has 96 divisors (see below), whose sum is σ = 24632418650112. Its totient is φ = 7931321671680.

The previous prime is 14324314501337. The next prime is 14324314501363. The reversal of 14324314501341 is 14310541342341.

14324314501341 is a `hidden beast` number, since 1 + 4 + 32 + 43 + 1 + 450 + 134 + 1 = 666.

It is not a de Polignac number, because 14324314501341 - 22 = 14324314501337 is a prime.

It is a super-2 number, since 2×143243145013412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14324314501296 and 14324314501305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14324314509341) 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 95 ways as a sum of consecutive naturals, for example, 83310901 + ... + 83482661.

It is an arithmetic number, because the mean of its divisors is an integer number (256587694272).

Almost surely, 214324314501341 is an apocalyptic number.

It is an amenable number.

14324314501341 is a deficient number, since it is larger than the sum of its proper divisors (10308104148771).

14324314501341 is a wasteful number, since it uses less digits than its factorization.

14324314501341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173643 (or 173640 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 14324314501341 its reverse (14310541342341), we get a palindrome (28634855843682).

The spelling of 14324314501341 in words is "fourteen trillion, three hundred twenty-four billion, three hundred fourteen million, five hundred one thousand, three hundred forty-one".

Divisors: 1 3 9 13 17 23 39 51 69 117 153 207 221 299 391 663 897 1173 1823 1989 2691 3519 5083 5469 15249 16407 23699 30991 41929 45747 71097 92973 125787 171761 213291 278919 377361 402883 515283 545077 712793 1208649 1545849 1635231 2138379 2232893 2919937 3625947 3950503 4905693 6415137 6698679 8759811 9266309 11851509 20096037 26279433 27798927 35554527 37959181 51356539 67158551 83396781 113877543 154069617 201475653 313120303 341632629 462208851 604426959 873061163 939360909 2619183489 2818082727 4070563939 5323045151 7201766969 7857550467 12211691817 15969135453 21605300907 36635075451 47907406359 64815902721 69199586963 93622970597 122430038473 207598760889 280868911791 367290115419 622796282667 842606735373 1101870346257 1591590500149 4774771500447 14324314501341