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21434122143412 = 22113111723909091
BaseRepresentation
bin1001101111110100001010…
…01111001000011010110100
32210220002012211021210012221
410313322011033020122310
510302134040232042122
6113330411052452124
74341364346063416
oct467720517103264
983802184253187
1021434122143412
116914184188750
1224a20b017a044
13bc62c929bac4
145415ba53c9b6
1527283d9706c7
hex137e853c86b4

21434122143412 has 48 divisors (see below), whose sum is σ = 41075132926464. Its totient is φ = 9705808476000.

The previous prime is 21434122143367. The next prime is 21434122143443.

21434122143412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23122987 + ... + 24032077.

It is an arithmetic number, because the mean of its divisors is an integer number (855731935968).

Almost surely, 221434122143412 is an apocalyptic number.

21434122143412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21434122143412 is a deficient number, since it is larger than the sum of its proper divisors (19641010783052).

21434122143412 is a wasteful number, since it uses less digits than its factorization.

21434122143412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911140 (or 911138 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 2143412 and 2143412, that added together give a palindrome (4286824).

The spelling of 21434122143412 in words is "twenty-one trillion, four hundred thirty-four billion, one hundred twenty-two million, one hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 311 622 1244 1723 3421 3446 6842 6892 13684 18953 37906 75812 535853 909091 1071706 1818182 2143412 3636364 5894383 10000001 11788766 20000002 23577532 40000004 282727301 565454602 1130909204 1566363793 3110000311 3132727586 6220000622 6265455172 12440001244 17230001723 34460003446 68920006892 487139139623 974278279246 1948556558492 5358530535853 10717061071706 21434122143412