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234134241341 = 711132947712417
BaseRepresentation
bin1101101000001101111…
…1010000000000111101
3211101100012212210211012
43122003133100000331
512314001331210331
6255320525205005
722626031133420
oct3320337200075
9741305783735
10234134241341
1190328747a10
1239463100765
1319104077b10
14b4916259b7
156154edd82b
hex36837d003d

234134241341 has 128 divisors (see below), whose sum is σ = 336938434560. Its totient is φ = 156835123200.

The previous prime is 234134241337. The next prime is 234134241359. The reversal of 234134241341 is 143142431432.

It is not a de Polignac number, because 234134241341 - 22 = 234134241337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234134241298 and 234134241307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234134241641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96868565 + ... + 96870981.

It is an arithmetic number, because the mean of its divisors is an integer number (2632331520).

Almost surely, 2234134241341 is an apocalyptic number.

It is an amenable number.

234134241341 is a deficient number, since it is larger than the sum of its proper divisors (102804193219).

234134241341 is a wasteful number, since it uses less digits than its factorization.

234134241341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595.

The product of its digits is 27648, while the sum is 32.

Adding to 234134241341 its reverse (143142431432), we get a palindrome (377276672773).

The spelling of 234134241341 in words is "two hundred thirty-four billion, one hundred thirty-four million, two hundred forty-one thousand, three hundred forty-one".

Divisors: 1 7 11 13 29 47 71 77 91 143 203 319 329 377 497 517 611 781 923 1001 1363 2059 2233 2417 2639 3337 3619 4147 4277 5467 6461 6721 9541 10153 14413 14993 16919 17719 22649 23359 26587 26767 29029 31421 36707 43381 47047 70093 71071 96773 104951 113599 124033 158543 171607 186109 187369 194909 219947 256949 294437 303667 345631 477191 490651 677411 771023 795193 911209 1064503 1201249 1249589 1258049 1364363 1476787 1887677 2061059 2230891 2419417 3294371 3340337 4976603 5397161 6378463 7451521 8065529 8747123 8806343 10023299 10337509 13213739 13838539 15616237 16244657 23060597 24539801 34836221 36238081 42826823 54742633 56458703 64695839 70163093 88720819 96869773 104851877 113712599 171778607 233900341 253666567 299787761 383198431 452870873 471095053 621045733 711654229 733963139 1153370647 1637302387 2572903751 3040704433 3297665371 4981579603 8073594529 18010326257 21284931031 33447748763 234134241341