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243433414125 = 33531110396311
BaseRepresentation
bin1110001010110111000…
…0110001110111101101
3212021100021220201202000
43202231300301313231
512442022423223000
6303455354522513
723405335610346
oct3425560616755
9767307821660
10243433414125
119426a8a8080
123b219436439
1319c567c6515
14bad46770cd
1564eb5b4000
hex38adc31ded

243433414125 has 128 divisors (see below), whose sum is σ = 491548262400. Its totient is φ = 117896040000.

The previous prime is 243433414117. The next prime is 243433414141. The reversal of 243433414125 is 521414334342.

It is not a de Polignac number, because 243433414125 - 23 = 243433414117 is a prime.

It is a super-2 number, since 2×2434334141252 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243433414125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38569720 + ... + 38576030.

It is an arithmetic number, because the mean of its divisors is an integer number (3840220800).

Almost surely, 2243433414125 is an apocalyptic number.

243433414125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

243433414125 is an abundant number, since it is smaller than the sum of its proper divisors (248114848275).

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

243433414125 is a wasteful number, since it uses less digits than its factorization.

243433414125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7369 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 243433414125 its reverse (521414334342), we get a palindrome (764847748467).

The spelling of 243433414125 in words is "two hundred forty-three billion, four hundred thirty-three million, four hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 125 135 165 225 275 297 375 495 675 825 1039 1125 1375 1485 2475 3117 3375 4125 5195 6311 7425 9351 11429 12375 15585 18933 25975 28053 31555 34287 37125 46755 56799 57145 69421 77925 94665 102861 129875 140265 157775 170397 171435 208263 233775 283995 285725 308583 347105 389625 473325 514305 624789 701325 788875 851985 857175 1041315 1168875 1419975 1428625 1542915 1735525 1874367 2366625 2571525 3123945 3506625 4259925 4285875 5206575 6557129 7099875 7714575 8677625 9371835 12857625 15619725 19671387 21299625 26032875 32785645 38572875 46859175 59014161 72128419 78098625 98356935 163928225 177042483 216385257 234295875 295070805 360642095 491784675 649155771 819641125 885212415 1081926285 1475354025 1803210475 1947467313 2458923375 3245778855 4426062075 5409631425 7376770125 9016052375 9737336565 16228894275 22130310375 27048157125 48686682825 81144471375 243433414125