Search a number
-
+
32040133104023 = 11213148713733023
BaseRepresentation
bin1110100100011111011001…
…10000001001000110010111
311012110000011222001112100022
413102033230300021012113
513144421143033312043
6152051011155535355
76514552236554402
oct722175460110627
9135400158045308
1032040133104023
11a233164941a00
1237157138ba55b
1314b54aa4ba445
147caa71d74d39
153a86862d1868
hex1d23ecc09197

32040133104023 has 48 divisors (see below), whose sum is σ = 35597042224128. Its totient is φ = 28815149563200.

The previous prime is 32040133103981. The next prime is 32040133104041.

32040133104023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32040133104023 - 214 = 32040133087639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32040133103983 and 32040133104001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32040133104523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10598785490 + ... + 10598788512.

It is an arithmetic number, because the mean of its divisors is an integer number (741605046336).

Almost surely, 232040133104023 is an apocalyptic number.

32040133104023 is a deficient number, since it is larger than the sum of its proper divisors (3556909120105).

32040133104023 is a wasteful number, since it uses less digits than its factorization.

32040133104023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 3204013 and 3104023, that added together give a palindrome (6308036).

The spelling of 32040133104023 in words is "thirty-two trillion, forty billion, one hundred thirty-three million, one hundred four thousand, twenty-three".

Divisors: 1 11 121 131 487 1373 1441 3023 5357 15103 15851 33253 58927 63797 166133 179863 365783 396013 668651 701767 1472201 1978493 4150579 4356143 7355161 7719437 16194211 21763423 45656369 47917573 80906771 87593281 178136321 192858331 502220059 543725849 963526091 2021331973 2121441641 5980984339 10598787001 22234651703 23335858051 65790827729 244581168733 264794488463 2912739373093 32040133104023