Search a number
-
+
203112042423440 = 24547181298448399
BaseRepresentation
bin101110001011101010110101…
…001000110110010010010000
3222122011022200110111011122012
4232023222311020312102100
5203110241430330022230
61555552214551002052
760532234520414423
oct5613526510662220
9878138613434565
10203112042423440
1159799373912097
121a944584069328
1389444ca497957
14382296507d9ba
151873624d6d395
hexb8bab5236490

203112042423440 has 80 divisors (see below), whose sum is σ = 484947611366400. Its totient is φ = 79076887534080.

The previous prime is 203112042423427. The next prime is 203112042423457. The reversal of 203112042423440 is 44324240211302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2031120424234402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203112042423397 and 203112042423406.

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, 148543640 + ... + 149904759.

It is an arithmetic number, because the mean of its divisors is an integer number (6061845142080).

Almost surely, 2203112042423440 is an apocalyptic number.

203112042423440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203112042423440 is an abundant number, since it is smaller than the sum of its proper divisors (281835568942960).

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

203112042423440 is a wasteful number, since it uses less digits than its factorization.

203112042423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298448640 (or 298448634 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 203112042423440 its reverse (44324240211302), we get a palindrome (247436282634742).

The spelling of 203112042423440 in words is "two hundred three trillion, one hundred twelve billion, forty-two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 181 188 235 362 376 470 724 752 905 940 1448 1810 1880 2896 3620 3760 7240 8507 14480 17014 34028 42535 68056 85070 136112 170140 340280 680560 298448399 596896798 1193793596 1492241995 2387587192 2984483990 4775174384 5968967980 11937935960 14027074753 23875871920 28054149506 54019160219 56108299012 70135373765 108038320438 112216598024 140270747530 216076640876 224433196048 270095801095 280541495060 432153281752 540191602190 561082990120 864306563504 1080383204380 1122165980240 2160766408760 2538900530293 4321532817520 5077801060586 10155602121172 12694502651465 20311204242344 25389005302930 40622408484688 50778010605860 101556021211720 203112042423440