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243433140132 = 2237213107297629
BaseRepresentation
bin1110001010110110111…
…1101110111110100100
3212021100021101210220010
43202231233232332210
512442022340441012
6303455345010220
723405333356500
oct3425557567644
9767307353803
10243433140132
119426a730236
123b219323970
1319c5672b8b0
14bad4605300
1564eb55cc3c
hex38adbeefa4

243433140132 has 144 divisors (see below), whose sum is σ = 718226429760. Its totient is φ = 63601913088.

The previous prime is 243433140107. The next prime is 243433140163. The reversal of 243433140132 is 231041334342.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 243433140132.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669094 + ... + 966722.

It is an arithmetic number, because the mean of its divisors is an integer number (4987683540).

Almost surely, 2243433140132 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 243433140132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359113214880).

243433140132 is an abundant number, since it is smaller than the sum of its proper divisors (474793289628).

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

243433140132 is a wasteful number, since it uses less digits than its factorization.

243433140132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297770 (or 297761 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 243433140132 its reverse (231041334342), we get a palindrome (474474474474).

The spelling of 243433140132 in words is "two hundred forty-three billion, four hundred thirty-three million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 107 147 156 182 196 214 273 294 321 364 428 546 588 637 642 749 1092 1274 1284 1391 1498 1911 2247 2548 2782 2996 3822 4173 4494 5243 5564 7644 8346 8988 9737 10486 15729 16692 19474 20972 29211 31458 38948 58422 62916 68159 116844 136318 204477 272636 297629 408954 595258 817908 892887 1190516 1785774 2083403 3571548 3869177 4166806 6250209 7738354 8333612 11607531 12500418 14583821 15476708 23215062 25000836 27084239 29167642 31846303 43751463 46430124 54168478 58335284 63692606 81252717 87502926 95538909 108336956 127385212 162505434 175005852 189589673 191077818 222924121 325010868 379179346 382155636 414001939 445848242 568769019 668772363 758358692 828003878 891696484 1137538038 1242005817 1337544726 1560468847 1656007756 2275076076 2484011634 2675089452 2898013573 3120937694 4681406541 4968023268 5796027146 6241875388 8694040719 9362813082 11592054292 17388081438 18725626164 20286095011 34776162876 40572190022 60858285033 81144380044 121716570066 243433140132