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234342434242301 = 711241149140932143
BaseRepresentation
bin110101010010001000011001…
…100011000111111011111101
31010201201220210011110101220112
4311102020121203013323331
5221203431301131223201
62150223232244555405
7100234452660034610
oct6522103143077375
91121656704411815
10234342434242301
116873a082920600
12223491730b2b65
13a09b5207c2568
1441c233d034177
151c15bb7a560bb
hexd522198c7efd

234342434242301 has 96 divisors (see below), whose sum is σ = 303809401728000. Its totient is φ = 176823993139200.

The previous prime is 234342434242283. The next prime is 234342434242307. The reversal of 234342434242301 is 103242434243432.

It is a happy number.

It is not a de Polignac number, because 234342434242301 - 26 = 234342434242237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234342434242307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7290605036 + ... + 7290637178.

It is an arithmetic number, because the mean of its divisors is an integer number (3164681268000).

Almost surely, 2234342434242301 is an apocalyptic number.

It is an amenable number.

234342434242301 is a deficient number, since it is larger than the sum of its proper divisors (69466967485699).

234342434242301 is a wasteful number, since it uses less digits than its factorization.

234342434242301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33771 (or 33760 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 41.

Adding to 234342434242301 its reverse (103242434243432), we get a palindrome (337584868485733).

The spelling of 234342434242301 in words is "two hundred thirty-four trillion, three hundred forty-two billion, four hundred thirty-four million, two hundred forty-two thousand, three hundred one".

Divisors: 1 7 11 41 77 121 149 287 451 847 1043 1409 1639 3157 4961 6109 9863 11473 15499 18029 32143 34727 42763 57769 67199 108493 126203 170489 209941 225001 353573 404383 470393 635459 739189 1193423 1317863 1469587 2309351 2475011 3889303 4448213 4789307 5174323 6990049 8607581 9225041 14496493 16165457 25402861 27225121 33525149 45289487 48930343 52682377 60253067 94683391 101475451 159461423 177820027 196361587 317026409 368776639 498184357 579506147 662783737 1041517301 1116229961 1374531109 1856868967 2159977457 3487290499 4056543029 5480027927 6748133563 7290621107 12998082769 15119842199 20425558637 23759752027 38360195489 47236934941 74229469193 142978910459 166318264189 224681145007 276673476083 519606284351 816524161123 1572768015049 1936714332581 3043408236913 5715669127861 21303857658391 33477490606043 234342434242301