Search a number
-
+
243114403240 = 23557764116433
BaseRepresentation
bin1110001001101010111…
…1110110010110101000
3212020112001122022002001
43202122233312112220
512440344241400430
6303404001220344
723364413221432
oct3423257662650
9766461568061
10243114403240
1194116819515
123b14a6316b4
1319c056a0597
14baa4155652
1564cd59c3ca
hex389abf65a8

243114403240 has 64 divisors (see below), whose sum is σ = 548843668560. Its totient is φ = 96919879680.

The previous prime is 243114403237. The next prime is 243114403247. The reversal of 243114403240 is 42304411342.

It can be written as a sum of positive squares in 8 ways, for example, as 242030545156 + 1083858084 = 491966^2 + 32922^2 .

It is a super-2 number, since 2×2431144032402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243114403199 and 243114403208.

It is not an unprimeable number, because it can be changed into a prime (243114403247) 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, 14786064 + ... + 14802496.

Almost surely, 2243114403240 is an apocalyptic number.

243114403240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243114403240 is an abundant number, since it is smaller than the sum of its proper divisors (305729265320).

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

243114403240 is a wasteful number, since it uses less digits than its factorization.

243114403240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17662 (or 17658 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 243114403240 its reverse (42304411342), we get a palindrome (285418814582).

The spelling of 243114403240 in words is "two hundred forty-three billion, one hundred fourteen million, four hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 577 641 1154 1282 2308 2564 2885 3205 4616 5128 5770 6410 11540 12820 16433 23080 25640 32866 65732 82165 131464 164330 328660 369857 657320 739714 1479428 1849285 2958856 3698570 7397140 9481841 10533553 14794280 18963682 21067106 37927364 42134212 47409205 52667765 75854728 84268424 94818410 105335530 189636820 210671060 379273640 421342120 6077860081 12155720162 24311440324 30389300405 48622880648 60778600810 121557201620 243114403240