Search a number
-
+
4134321034344 = 23352697905979
BaseRepresentation
bin111100001010011000101…
…111001001010001101000
3112122020101221102020100000
4330022120233021101220
51020214042141044334
612443140355543000
7604460220651204
oct74123057112150
915566357366300
104134321034344
1113543a0495866
125693138baa60
1323cb31c75907
14104160649b04
157282335a299
hex3c298bc9468

4134321034344 has 96 divisors (see below), whose sum is σ = 11654995716000. Its totient is φ = 1372983763392.

The previous prime is 4134321034313. The next prime is 4134321034351. The reversal of 4134321034344 is 4434301234314.

4134321034344 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 3 + 210 + 3 + 434 + 4 = 666.

It is a super-2 number, since 2×41343210343442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4134321034299 and 4134321034308.

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 23 ways as a sum of consecutive naturals, for example, 3430054 + ... + 4475925.

It is an arithmetic number, because the mean of its divisors is an integer number (121406205375).

Almost surely, 24134321034344 is an apocalyptic number.

It is an amenable number.

4134321034344 is an abundant number, since it is smaller than the sum of its proper divisors (7520674681656).

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

4134321034344 is a wasteful number, since it uses less digits than its factorization.

4134321034344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906269 (or 7906253 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4134321034344 its reverse (4434301234314), we get a palindrome (8568622268658).

The spelling of 4134321034344 in words is "four trillion, one hundred thirty-four billion, three hundred twenty-one million, thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 269 324 486 538 648 807 972 1076 1614 1944 2152 2421 3228 4842 6456 7263 9684 14526 19368 21789 29052 43578 58104 65367 87156 130734 174312 261468 522936 7905979 15811958 23717937 31623916 47435874 63247832 71153811 94871748 142307622 189743496 213461433 284615244 426922866 569230488 640384299 853845732 1280768598 1707691464 1921152897 2126708351 2561537196 3842305794 4253416702 5123074392 6380125053 7684611588 8506833404 12760250106 15369223176 17013666808 19140375159 25520500212 38280750318 51041000424 57421125477 76561500636 114842250954 153123001272 172263376431 229684501908 344526752862 459369003816 516790129293 689053505724 1033580258586 1378107011448 2067160517172 4134321034344