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34214411311234 = 2721196752096301
BaseRepresentation
bin1111100011110001010011…
…10101010001100010000010
311111010212101011002121102121
413301320221311101202002
513441032103243424414
6200433514503434454
710130624002440100
oct761705165214202
9144125334077377
1034214411311234
11a9a12832432a0
123a06b95155a2a
13161253613793b
14863db4750c70
153e4ede4d6724
hex1f1e29d51882

34214411311234 has 96 divisors (see below), whose sum is σ = 65218204149120. Its totient is φ = 13311835488000.

The previous prime is 34214411311231. The next prime is 34214411311259. The reversal of 34214411311234 is 43211311441243.

It is a self number, because there is not a number n which added to its sum of digits gives 34214411311234.

It is not an unprimeable number, because it can be changed into a prime (34214411311231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5429993884 + ... + 5430000184.

It is an arithmetic number, because the mean of its divisors is an integer number (679356293220).

Almost surely, 234214411311234 is an apocalyptic number.

34214411311234 is a deficient number, since it is larger than the sum of its proper divisors (31003792837886).

34214411311234 is a wasteful number, since it uses less digits than its factorization.

34214411311234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504 (or 12497 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

Adding to 34214411311234 its reverse (43211311441243), we get a palindrome (77425722752477).

The spelling of 34214411311234 in words is "thirty-four trillion, two hundred fourteen billion, four hundred eleven million, three hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 7 11 14 22 49 77 98 154 539 967 1078 1934 5209 6301 6769 10418 10637 12602 13538 21274 36463 44107 47383 57299 69311 72926 74459 88214 94766 114598 138622 148918 255241 308749 401093 485177 510482 521213 617498 802186 970354 1042426 2807651 3396239 5037103 5615302 6093067 6792478 10074206 12186134 32821909 35259721 42651469 55408133 65643818 67023737 70519442 85302938 110816266 134047474 229753363 246818047 298560283 361040999 387856931 459506726 469166159 493636094 597120566 722081998 775713862 938332318 1608273541 2527286993 2714998517 3216547082 3284163113 5054573986 5429997034 6568326226 17691008951 31738786003 35382017902 63477572006 222171502021 349126646033 444343004042 698253292066 1555200514147 2443886522231 3110401028294 4887773044462 17107205655617 34214411311234