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24012340200212 = 22721343859255137
BaseRepresentation
bin1010111010110110011110…
…00000100000001100010100
310011000120001021102022220012
411131123033000200030110
511121404233042401322
6123023041121255352
75025556114012100
oct535331700401424
9104016037368805
1024012340200212
117718638051781
122839904194558
13105247a878790
145d02bc454900
152b99393b1ae2
hex15d6cf020314

24012340200212 has 144 divisors (see below), whose sum is σ = 53929600845120. Its totient is φ = 9267633543168.

The previous prime is 24012340200193. The next prime is 24012340200257. The reversal of 24012340200212 is 21200204321042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93987908 + ... + 94243044.

It is an arithmetic number, because the mean of its divisors is an integer number (374511116980).

Almost surely, 224012340200212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24012340200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26964800422560).

24012340200212 is an abundant number, since it is smaller than the sum of its proper divisors (29917260644908).

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

24012340200212 is a wasteful number, since it uses less digits than its factorization.

24012340200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256070 (or 256061 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 24012340200212 its reverse (21200204321042), we get a palindrome (45212544521254).

The spelling of 24012340200212 in words is "twenty-four trillion, twelve billion, three hundred forty million, two hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 43 49 52 86 91 98 172 182 196 301 364 559 602 637 859 1118 1204 1274 1718 2107 2236 2548 3436 3913 4214 6013 7826 8428 11167 12026 15652 22334 24052 27391 36937 42091 44668 54782 73874 78169 84182 109564 147748 156338 168364 255137 258559 312676 480181 510274 517118 547183 960362 1020548 1034236 1094366 1785959 1809913 1920724 2188732 3316781 3361267 3571918 3619826 6633562 6722534 7143836 7239652 10970891 12501713 13267124 13445068 21941782 23217467 23528869 25003426 43883564 46434934 47057738 50006852 76796237 92869868 94115476 142621583 153592474 162522269 219162683 285243166 307184948 325044538 438325366 537573659 570486332 650089076 876650732 998351081 1075147318 1534138781 1996702162 2150294636 2849114879 3068277562 3993404324 5698229758 6136555124 6988457567 9423995369 10738971467 11396459516 13976915134 18847990738 19943804153 21477942934 27953830268 37695981476 39887608306 42955885868 65967967583 79775216612 122511939797 131935935166 139606629071 245023879594 263871870332 279213258142 461775773081 490047759188 558426516284 857583578579 923551546162 1715167157158 1847103092324 3430334314316 6003085050053 12006170100106 24012340200212