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243114130152 = 233215135363347
BaseRepresentation
bin1110001001101010111…
…0110011101011101000
3212020112001010102110200
43202122232303223220
512440344204131102
6303403551312200
723364411003315
oct3423256635350
9766461112420
10243114130152
1194116652323
123b14a51b660
1319c056061aa
14baa40c3d0c
1564cd54651c
hex389abb3ae8

243114130152 has 96 divisors (see below), whose sum is σ = 664682690880. Its totient is φ = 80272051200.

The previous prime is 243114130121. The next prime is 243114130157. The reversal of 243114130152 is 251031411342.

243114130152 is a `hidden beast` number, since 2 + 4 + 311 + 41 + 301 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (243114130157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3806143 + ... + 3869489.

It is an arithmetic number, because the mean of its divisors is an integer number (6923778030).

Almost surely, 2243114130152 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 243114130152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332341345440).

243114130152 is an abundant number, since it is smaller than the sum of its proper divisors (421568560728).

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

243114130152 is a wasteful number, since it uses less digits than its factorization.

243114130152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63863 (or 63856 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 243114130152 its reverse (251031411342), we get a palindrome (494145541494).

The spelling of 243114130152 in words is "two hundred forty-three billion, one hundred fourteen million, one hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 353 453 604 706 906 1059 1208 1359 1412 1812 2118 2718 2824 3177 3624 4236 5436 6354 8472 10872 12708 25416 53303 63347 106606 126694 159909 190041 213212 253388 319818 380082 426424 479727 506776 570123 639636 760164 959454 1140246 1279272 1520328 1918908 2280492 3837816 4560984 9565397 19130794 22361491 28696191 38261588 44722982 57392382 67084473 76523176 86088573 89445964 114784764 134168946 172177146 178891928 201253419 229569528 268337892 344354292 402506838 536675784 688708584 805013676 1610027352 3376585141 6753170282 10129755423 13506340564 20259510846 27012681128 30389266269 40519021692 60778532538 81038043384 121557065076 243114130152