Search a number
-
+
204300331032040 = 23567125899605497
BaseRepresentation
bin101110011100111101100000…
…101010001001110111101000
3222210100220212100010221211121
4232130331200222021313220
5203234224034221011130
62002302135411505024
761014132441060265
oct5634754052116750
9883326770127747
10204300331032040
115a107313850511
121aab69335b8174
1389cc59165a959
14386429003626c
1518944c17e6d7a
hexb9cf60a89de8

204300331032040 has 64 divisors (see below), whose sum is σ = 466541052984000. Its totient is φ = 80499656590848.

The previous prime is 204300331032023. The next prime is 204300331032043. The reversal of 204300331032040 is 40230133003402.

It is a super-4 number, since 4×2043003310320404 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 204300331031996 and 204300331032014.

It is not an unprimeable number, because it can be changed into a prime (204300331032043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337106572 + ... + 337712068.

It is an arithmetic number, because the mean of its divisors is an integer number (7289703952875).

Almost surely, 2204300331032040 is an apocalyptic number.

204300331032040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204300331032040 is an abundant number, since it is smaller than the sum of its proper divisors (262240721951960).

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

204300331032040 is a wasteful number, since it uses less digits than its factorization.

204300331032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731474 (or 731470 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 204300331032040 its reverse (40230133003402), we get a palindrome (244530464035442).

The spelling of 204300331032040 in words is "two hundred four trillion, three hundred billion, three hundred thirty-one million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 125899 251798 503596 605497 629495 1007192 1210994 1258990 2421988 2517980 3027485 4843976 5035960 6054970 8435233 12109940 16870466 24219880 33740932 40568299 42176165 67481864 81136598 84352330 162273196 168704660 202841495 324546392 337409320 405682990 811365980 1622731960 76231466803 152462933606 304925867212 381157334015 609851734424 762314668030 1524629336060 3049258672120 5107508275801 10215016551602 20430033103204 25537541379005 40860066206408 51075082758010 102150165516020 204300331032040