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243405332144 = 241323113450257
BaseRepresentation
bin1110001010110000010…
…1101001111010110000
3212021021100002000111122
43202230011221322300
512441443231112034
6303452513001412
723404545120602
oct3425405517260
9767240060448
10243405332144
1194255a67727
123b20bb53268
1319c50a43570
14bad0a47172
1564e8db862e
hex38ac169eb0

243405332144 has 80 divisors (see below), whose sum is σ = 534647155392. Its totient is φ = 106505355264.

The previous prime is 243405332123. The next prime is 243405332231. The reversal of 243405332144 is 441233504342.

It is a super-2 number, since 2×2434053321442 (a number of 24 digits) contains 22 as substring.

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, 315464 + ... + 765720.

Almost surely, 2243405332144 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 243405332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267323577696).

243405332144 is an abundant number, since it is smaller than the sum of its proper divisors (291241823248).

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

243405332144 is a wasteful number, since it uses less digits than its factorization.

243405332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450414 (or 450408 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 243405332144 its reverse (441233504342), we get a palindrome (684638836486).

The spelling of 243405332144 in words is "two hundred forty-three billion, four hundred five million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 113 184 208 226 299 368 452 598 904 1196 1469 1808 2392 2599 2938 4784 5198 5876 10396 11752 20792 23504 33787 41584 67574 135148 270296 450257 540592 900514 1801028 3602056 5853341 7204112 10355911 11706682 20711822 23413364 41423644 46826728 50879041 82847288 93653456 101758082 134626843 165694576 203516164 269253686 407032328 538507372 661427533 814064656 1077014744 1170217943 1322855066 2154029488 2340435886 2645710132 4680871772 5291420264 9361743544 10582840528 15212833259 18723487088 30425666518 60851333036 121702666072 243405332144