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34323243421113 = 33171132776413727
BaseRepresentation
bin1111100110111100000001…
…01110110100110110111001
311111112021021211220121202000
413303132000232310312321
513444323000303433423
6200555514053331213
710141525653216063
oct763360056646671
9144467254817660
1034323243421113
11aa33451119259
123a240a8936b09
13161c88b6a37aa
1486937a7a2733
153e7c5dcd7843
hex1f3780bb4db9

34323243421113 has 128 divisors (see below), whose sum is σ = 54612627978240. Its totient is φ = 21229629603840.

The previous prime is 34323243421091. The next prime is 34323243421139. The reversal of 34323243421113 is 31112434232343.

34323243421113 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 3 + 2 + 434 + 211 + 1 + 3 = 666.

It is not a de Polignac number, because 34323243421113 - 220 = 34323242372537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34323243422113) 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, 9209347056 + ... + 9209350782.

It is an arithmetic number, because the mean of its divisors is an integer number (426661156080).

Almost surely, 234323243421113 is an apocalyptic number.

It is an amenable number.

34323243421113 is a deficient number, since it is larger than the sum of its proper divisors (20289384557127).

34323243421113 is a wasteful number, since it uses less digits than its factorization.

34323243421113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4778 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 34323243421113 its reverse (31112434232343), we get a palindrome (65435677653456).

The spelling of 34323243421113 in words is "thirty-four trillion, three hundred twenty-three billion, two hundred forty-three million, four hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 17 27 51 113 153 277 339 459 641 831 1017 1921 1923 2493 3051 3727 4709 5763 5769 7479 10897 11181 14127 17289 17307 31301 32691 33543 42381 51867 63359 72433 93903 98073 100629 127143 177557 190077 217299 281709 294219 421151 532117 532671 570231 651897 845127 1032379 1231361 1263453 1596351 1598013 1710693 1955691 2389007 3018469 3097137 3694083 3790359 4789053 4794039 7159567 7167021 9055407 9291411 11082249 11371077 14367159 17550443 20063941 21478701 21501063 27166221 27874233 33246747 40613119 52651329 60191823 64436103 64503189 81498663 116658827 121839357 157953987 180575469 193308309 269957791 341086997 349976481 365518071 473861961 541726407 661754939 809873373 1023260991 1049929443 1096554213 1983200059 1985264817 2429620119 3069782973 3149788329 4589282447 5949600177 5955794451 7288860357 9209348919 11249833963 13767847341 17848800531 17867383353 33749501889 41303542023 53546401593 74778308107 101248505667 123910626069 224334924321 303745517001 673004772963 1271231237819 2019014318889 3813693713457 11441081140371 34323243421113