Search a number
-
+
23134204432404 = 223213149331758797
BaseRepresentation
bin1010100001010010110100…
…00010011001000000010100
310000220121102111001022201100
411100221122002121000110
511013012322313314104
6121111412400230100
74605251103104532
oct520513202310024
9100817374038640
1023134204432404
11740a18532716a
12271769230b330
13cba713a86790
1459d9b6b8b152
152a1b915e6139
hex150a5a099014

23134204432404 has 72 divisors (see below), whose sum is σ = 63399106297800. Its totient is φ = 7070443460352.

The previous prime is 23134204432403. The next prime is 23134204432421. The reversal of 23134204432404 is 40423440243132.

23134204432404 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 4 + 204 + 43 + 2 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 450512124804 + 22683692307600 = 671202^2 + 4762740^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134204432403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165809667 + ... + 165949130.

It is an arithmetic number, because the mean of its divisors is an integer number (880543143025).

Almost surely, 223134204432404 is an apocalyptic number.

It is an amenable number.

23134204432404 is an abundant number, since it is smaller than the sum of its proper divisors (40264901865396).

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

23134204432404 is a wasteful number, since it uses less digits than its factorization.

23134204432404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331758969 (or 331758964 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 23134204432404 its reverse (40423440243132), we get a palindrome (63557644675536).

The spelling of 23134204432404 in words is "twenty-three trillion, one hundred thirty-four billion, two hundred four million, four hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 1341 1788 1937 2682 3874 5364 5811 7748 11622 17433 23244 34866 69732 331758797 663517594 995276391 1327035188 1990552782 2985829173 3981105564 4312864361 5971658346 8625728722 11943316692 12938593083 17251457444 25877186166 38815779249 49432060753 51754372332 77631558498 98864121506 148296182259 155263116996 197728243012 296592364518 444888546777 593184729036 642616789789 889777093554 1285233579578 1779554187108 1927850369367 2570467159156 3855700738734 5783551108101 7711401477468 11567102216202 23134204432404