Search a number
-
+
4023032034231 = 34743349472799
BaseRepresentation
bin111010100010101111011…
…001010011001110110111
3112020121011000112021020000
4322202233121103032313
51011403132200043411
612320053322242343
7563440325033010
oct72425731231667
915217130467200
104023032034231
111311181780901
1254b8353563b3
132324a76c2762
14dca041aa007
156e9acee6956
hex3a8af6533b7

4023032034231 has 80 divisors (see below), whose sum is σ = 7048124160000. Its totient is φ = 2238974644032.

The previous prime is 4023032034199. The next prime is 4023032034353. The reversal of 4023032034231 is 1324302303204.

4023032034231 is a `hidden beast` number, since 4 + 0 + 2 + 30 + 3 + 203 + 423 + 1 = 666.

It is not a de Polignac number, because 4023032034231 - 25 = 4023032034199 is a prime.

It is a super-2 number, since 2×40230320342312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4023032034195 and 4023032034204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023032034731) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8272570 + ... + 8745368.

It is an arithmetic number, because the mean of its divisors is an integer number (88101552000).

Almost surely, 24023032034231 is an apocalyptic number.

4023032034231 is a deficient number, since it is larger than the sum of its proper divisors (3025092125769).

4023032034231 is a wasteful number, since it uses less digits than its factorization.

4023032034231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473210 (or 473201 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 4023032034231 its reverse (1324302303204), we get a palindrome (5347334337435).

The spelling of 4023032034231 in words is "four trillion, twenty-three billion, thirty-two million, thirty-four thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 301 349 387 567 903 1047 1161 2443 2709 3141 3483 7329 8127 9423 15007 21987 24381 28269 45021 65961 105049 135063 197883 315147 405189 472799 945441 1215567 1418397 2836323 3309593 4255191 8508969 9928779 12765573 20330357 29786337 38296719 60991071 89359011 142312499 165006851 182973213 268077033 426937497 495020553 548919639 1155047957 1280812491 1485061659 1646758917 3465143871 3842437473 4455184977 7095294593 10395431613 11527312419 13365554931 21285883779 31186294839 49667062151 63857651337 93558884517 149001186453 191572954011 447003559359 574718862033 1341010678077 4023032034231