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24141422214 = 23272133675737
BaseRepresentation
bin10110011110111100…
…001101111010000110
32022022110100022111200
4112132330031322012
5343420201002324
615031310243330
71513150463100
oct263674157206
968273308450
1024141422214
11a269226908
124818ab6546
1323796b3b20
141250330570
15964628ec9
hex59ef0de86

24141422214 has 144 divisors (see below), whose sum is σ = 65716717248. Its totient is φ = 6348513024.

The previous prime is 24141422213. The next prime is 24141422231. The reversal of 24141422214 is 41222414142.

24141422214 is a `hidden beast` number, since 2 + 414 + 14 + 22 + 214 = 666.

It is a super-2 number, since 2×241414222142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24141422213) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4205154 + ... + 4210890.

It is an arithmetic number, because the mean of its divisors is an integer number (456366092).

Almost surely, 224141422214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24141422214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32858358624).

24141422214 is an abundant number, since it is smaller than the sum of its proper divisors (41575295034).

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

24141422214 is a wasteful number, since it uses less digits than its factorization.

24141422214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139 (or 6129 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 24141422214 its reverse (41222414142), we get a palindrome (65363836356).

The spelling of 24141422214 in words is "twenty-four billion, one hundred forty-one million, four hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 367 441 546 637 734 819 882 1101 1274 1638 1911 2202 2569 3303 3822 4771 5138 5733 5737 6606 7707 9542 11466 11474 14313 15414 17211 17983 23121 28626 33397 34422 35966 40159 42939 46242 51633 53949 66794 74581 80318 85878 100191 103266 107898 120477 149162 161847 200382 223743 233779 240954 281113 300573 323694 361431 447486 467558 522067 562226 601146 671229 701337 722862 843339 1044134 1342458 1402674 1566201 1686678 2104011 2105479 2530017 3132402 3654469 4208022 4210958 4698603 5060034 6316437 7308938 9397206 10963407 12632874 14738353 18949311 21926814 27371227 29476706 32890221 37898622 44215059 54742454 65780442 82113681 88430118 103168471 132645177 164227362 191598589 206336942 246341043 265290354 309505413 383197178 492682086 574795767 619010826 928516239 1149591534 1341190123 1724387301 1857032478 2682380246 3448774602 4023570369 8047140738 12070711107 24141422214