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243201141340 = 22537532791481
BaseRepresentation
bin1110001001111111101…
…0101110101001011100
3212020202002212001101021
43202133322232221130
512441033443010330
6303420340253524
723366515410253
oct3423772565134
9766662761337
10243201141340
11941607820a3
123b1736a12a4
1319c1a64c8c1
14bab189379a
1564d5ed267a
hex389feaea5c

243201141340 has 144 divisors (see below), whose sum is σ = 541741898880. Its totient is φ = 91627960320.

The previous prime is 243201141301. The next prime is 243201141353. The reversal of 243201141340 is 43141102342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164213400 + ... + 164214880.

It is an arithmetic number, because the mean of its divisors is an integer number (3762096520).

Almost surely, 2243201141340 is an apocalyptic number.

243201141340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243201141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270870949440).

243201141340 is an abundant number, since it is smaller than the sum of its proper divisors (298540757540).

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

243201141340 is a wasteful number, since it uses less digits than its factorization.

243201141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 243201141340 its reverse (43141102342), we get a palindrome (286342243682).

The spelling of 243201141340 in words is "two hundred forty-three billion, two hundred one million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 53 74 79 106 148 158 185 212 265 316 370 395 530 740 790 1060 1481 1580 1961 2809 2923 2962 3922 4187 5618 5846 5924 7405 7844 8374 9805 11236 11692 14045 14615 14810 16748 19610 20935 28090 29230 29620 39220 41870 54797 56180 58460 78493 83740 103933 109594 116999 154919 156986 207866 219188 221911 233998 273985 309838 313972 392465 415732 443822 467996 519665 547970 584995 619676 774595 784930 887644 1039330 1095940 1109555 1169990 1549190 1569860 2078660 2219110 2339980 2904241 3098380 4160129 4328963 4438220 5808482 6200947 8210707 8320258 8657926 11616964 12401894 14521205 16421414 16640516 17315852 20800645 21644815 24803788 29042410 31004735 32842828 41053535 41601290 43289630 58084820 62009470 82107070 83202580 86579260 124018940 153924773 164214140 229435039 307849546 328650191 458870078 615699092 657300382 769623865 917740156 1147175195 1314600764 1539247730 1643250955 2294350390 3078495460 3286501910 4588700780 6573003820 12160057067 24320114134 48640228268 60800285335 121600570670 243201141340