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243142301332 = 227194325934099
BaseRepresentation
bin1110001001110001101…
…0010001011010010100
3212020121000010200001201
43202130122101122110
512440423412120312
6303410435202244
723365202314120
oct3423432213224
9766530120051
10243142301332
1194130543797
123b157a46384
1319c0b3ba928
14baa7b38580
1564d0c5d557
hex389c691694

243142301332 has 96 divisors (see below), whose sum is σ = 524112512000. Its totient is φ = 96362929152.

The previous prime is 243142301327. The next prime is 243142301371. The reversal of 243142301332 is 233103241342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 243142301332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59315419 + ... + 59319517.

Almost surely, 2243142301332 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 243142301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262056256000).

243142301332 is an abundant number, since it is smaller than the sum of its proper divisors (280970210668).

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

243142301332 is a wasteful number, since it uses less digits than its factorization.

243142301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 243142301332 its reverse (233103241342), we get a palindrome (476245542674).

The spelling of 243142301332 in words is "two hundred forty-three billion, one hundred forty-two million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 2593 3268 4099 5186 5719 8198 10372 11438 16396 18151 22876 28693 36302 49267 57386 72604 77881 98534 111499 114772 155762 176257 197068 222998 311524 344869 352514 445996 545167 689738 705028 780493 1090334 1233799 1379476 1560986 2118481 2180668 2467598 3121972 3348883 4236962 4935196 6697766 8473924 10628707 13395532 14829367 21257414 23442181 29658734 42514828 46884362 59317468 74400949 93768724 148801898 201945433 297603796 403890866 457034401 807781732 914068802 1413618031 1828137604 2827236062 3199240807 5654472124 6398481614 8683653619 12796963228 17367307238 34734614476 60785575333 121571150666 243142301332