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21443133134412 = 223211540710014671
BaseRepresentation
bin1001110000000100111100…
…10101010101011001001100
32210220221110211001120001100
410320002132111111121030
510302311014040300122
6113334501145343100
74342133554202253
oct470023625253114
983827424046040
1021443133134412
116917a886a6650
1224a39a5a97a90
13bc71040c9a42
14541bd31b579a
15272bb9abdaac
hex13809e55564c

21443133134412 has 72 divisors (see below), whose sum is σ = 59142006024192. Its totient is φ = 6496716722400.

The previous prime is 21443133134399. The next prime is 21443133134413.

21443133134412 is a `hidden beast` number, since 2 + 14 + 4 + 313 + 313 + 4 + 4 + 12 = 666.

21443133134412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21443133134413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2866164 + ... + 7148507.

It is an arithmetic number, because the mean of its divisors is an integer number (821416750336).

Almost surely, 221443133134412 is an apocalyptic number.

21443133134412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21443133134412 is an abundant number, since it is smaller than the sum of its proper divisors (37698872889780).

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

21443133134412 is a wasteful number, since it uses less digits than its factorization.

21443133134412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020099 (or 10020094 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 2144313 and 3134412, that added together give a palindrome (5278725).

The spelling of 21443133134412 in words is "twenty-one trillion, four hundred forty-three billion, one hundred thirty-three million, one hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5407 10814 16221 21628 32442 48663 59477 64884 97326 118954 178431 194652 237908 356862 535293 713724 1070586 2141172 10014671 20029342 30044013 40058684 60088026 90132039 110161381 120176052 180264078 220322762 330484143 360528156 440645524 660968286 991452429 1321936572 1982904858 3965809716 54149326097 108298652194 162447978291 216597304388 324895956582 487343934873 595642587067 649791913164 974687869746 1191285174134 1786927761201 1949375739492 2382570348268 3573855522402 5360783283603 7147711044804 10721566567206 21443133134412