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12424433442421 = 7111361878323167
BaseRepresentation
bin1011010011001100100111…
…1100010001111001110101
31121222202122010110221201011
42310303021330101321311
53112030214430124141
642231412251432221
72421431020522360
oct264631174217165
947882563427634
1012424433442421
113a60199857120
121487b31755671
136c1808077660
1430d4baba90d7
151682c48c7881
hexb4cc9f11e75

12424433442421 has 64 divisors (see below), whose sum is σ = 16957890625536. Its totient is φ = 8788772678400.

The previous prime is 12424433442413. The next prime is 12424433442427.

12424433442421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12424433442421 - 23 = 12424433442413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424433442427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 536287180 + ... + 536310346.

It is an arithmetic number, because the mean of its divisors is an integer number (264967041024).

Almost surely, 212424433442421 is an apocalyptic number.

12424433442421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12424433442421 is a deficient number, since it is larger than the sum of its proper divisors (4533457183115).

12424433442421 is a wasteful number, since it uses less digits than its factorization.

12424433442421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32042.

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 1242443 and 3442421, that added together give a palindrome (4684864).

The spelling of 12424433442421 in words is "twelve trillion, four hundred twenty-four billion, four hundred thirty-three million, four hundred forty-two thousand, four hundred twenty-one".

Divisors: 1 7 11 13 61 77 91 143 427 671 793 1001 4697 5551 8723 8783 23167 61061 61481 96613 114179 162169 254837 301171 535763 676291 799253 1255969 1413187 1783859 2108197 3312881 3750341 5893393 6964919 8791783 9892309 15545057 18371431 23190167 41253751 48754433 76614109 108815399 128600017 202085741 203475761 536298763 1414600187 1424330327 2238233371 2645184893 12412021421 15667633597 18516294251 29097033823 86884149947 136532235631 161356278473 203679236761 955725649417 1129493949311 1774919063203 12424433442421