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21443213235114 = 23411231493511301
BaseRepresentation
bin1001110000000101000110…
…00110111001001110101010
32210220221200101210002120000
410320002203012321032222
510302311200042010424
6113334513130243430
74342135546065066
oct470024306711652
983827611702500
1021443213235114
116918019936480
1224a3a08886576
13bc7117893bc8
14541bddaa6aa6
15272bc1b423c9
hex1380a31b93aa

21443213235114 has 160 divisors (see below), whose sum is σ = 55062833443200. Its totient is φ = 6173708112000.

The previous prime is 21443213235109. The next prime is 21443213235221. The reversal of 21443213235114 is 41153231234412.

21443213235114 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 3 + 2 + 132 + 3 + 511 + 4 = 666.

It is a super-2 number, since 2×214432132351142 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4351264 + ... + 7862564.

It is an arithmetic number, because the mean of its divisors is an integer number (344142709020).

Almost surely, 221443213235114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21443213235114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27531416721600).

21443213235114 is an abundant number, since it is smaller than the sum of its proper divisors (33619620208086).

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

21443213235114 is a wasteful number, since it uses less digits than its factorization.

21443213235114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511498 (or 3511489 counting only the distinct ones).

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

Adding to 21443213235114 its reverse (41153231234412), we get a palindrome (62596444469526).

The spelling of 21443213235114 in words is "twenty-one trillion, four hundred forty-three billion, two hundred thirteen million, two hundred thirty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 149 162 198 207 253 297 298 414 447 506 594 621 759 891 894 1242 1341 1518 1639 1782 1863 2277 2682 3278 3427 3726 4023 4554 4917 6831 6854 8046 9834 10281 12069 13662 14751 20493 20562 24138 29502 30843 37697 40986 44253 61686 75394 88506 92529 113091 132759 185058 226182 265518 277587 339273 555174 678546 1017819 2035638 3053457 3511301 6106914 7022602 10533903 21067806 31601709 38624311 63203418 77248622 80759923 94805127 115872933 161519846 189610254 231745866 242279769 284415381 347618799 484559538 523183849 568830762 695237598 726839307 888359153 1042856397 1046367698 1453678614 1569551547 1776718306 2085712794 2180517921 2665077459 3128569191 3139103094 4361035842 4708654641 5330154918 5755022339 6257138382 6541553763 7995232377 9417309282 11510044678 12033228527 13083107526 14125963923 15990464754 17265067017 23985697131 24066457054 28251927846 34530134034 36099685581 42377891769 47971394262 51795201051 71957091393 72199371162 84755783538 103590402102 108299056743 132365513797 143914182786 155385603153 216598113486 264731027594 310771206306 324897170229 397096541391 466156809459 649794340458 794193082782 932313618918 974691510687 1191289624173 1949383021374 2382579248346 3573868872519 7147737745038 10721606617557 21443213235114