Search a number
-
+
20031341242432 = 2613163719205433
BaseRepresentation
bin1001000110111111010001…
…11110101010100001000000
32121220222101121112120202111
410203133220332222201000
510111143141324224212
6110334134321425104
74135134211132342
oct443375076524100
977828347476674
1020031341242432
116423275a08393
1222b625b79b194
13b23c414c3cc0
144d3744881292
1524b0db5e9ea7
hex1237e8faa840

20031341242432 has 112 divisors (see below), whose sum is σ = 43130095868160. Its totient is φ = 9175690948608.

The previous prime is 20031341242387. The next prime is 20031341242457. The reversal of 20031341242432 is 23424214313002.

It is a junction number, because it is equal to n+sod(n) for n = 20031341242394 and 20031341242403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97405188 + ... + 97610620.

It is an arithmetic number, because the mean of its divisors is an integer number (385090141680).

Almost surely, 220031341242432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031341242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565047934080).

20031341242432 is an abundant number, since it is smaller than the sum of its proper divisors (23098754625728).

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

20031341242432 is a wasteful number, since it uses less digits than its factorization.

20031341242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206340 (or 206330 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 20031341242432 its reverse (23424214313002), we get a palindrome (43455555555434).

The spelling of 20031341242432 in words is "twenty trillion, thirty-one billion, three hundred forty-one million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 163 208 326 416 652 719 832 1304 1438 2119 2608 2876 4238 5216 5752 8476 9347 10432 11504 16952 18694 23008 33904 37388 46016 67808 74776 117197 135616 149552 205433 234394 299104 410866 468788 598208 821732 937576 1523561 1643464 1875152 2670629 3047122 3286928 3750304 5341258 6094244 6573856 7500608 10682516 12188488 13147712 21365032 24376976 33485579 42730064 48753952 66971158 85460128 97507904 133942316 147706327 170920256 267884632 295412654 435312527 535769264 590825308 870625054 1071538528 1181650616 1741250108 1920182251 2143077056 2363301232 3482500216 3840364502 4726602464 6965000432 7680729004 9453204928 13930000864 15361458008 24076131301 27860001728 30722916016 48152262602 61445832032 96304525204 122891664064 192609050408 312989706913 385218100816 625979413826 770436201632 1251958827652 1540872403264 2503917655304 5007835310608 10015670621216 20031341242432