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243334204032 = 2736127138333
BaseRepresentation
bin1110001010011111011…
…0010100101010000000
3212021002101020100002010
43202213312110222000
512441322024012112
6303441452252520
723403022415163
oct3424766245200
9767071210063
10243334204032
11942198a6067
123b1b0171140
1319c3c09b41a
14bac540dada
1564e2a1863c
hex38a7d94a80

243334204032 has 128 divisors (see below), whose sum is σ = 659393867520. Its totient is φ = 79485235200.

The previous prime is 243334204027. The next prime is 243334204051. The reversal of 243334204032 is 230402433342.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 6328738 + ... + 6367070.

It is an arithmetic number, because the mean of its divisors is an integer number (5151514590).

Almost surely, 2243334204032 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 243334204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329696933760).

243334204032 is an abundant number, since it is smaller than the sum of its proper divisors (416059663488).

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

243334204032 is a wasteful number, since it uses less digits than its factorization.

243334204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38682 (or 38670 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 243334204032 its reverse (230402433342), we get a palindrome (473736637374).

The spelling of 243334204032 in words is "two hundred forty-three billion, three hundred thirty-four million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 271 366 384 488 542 732 813 976 1084 1464 1626 1952 2168 2928 3252 3904 4336 5856 6504 7808 8672 11712 13008 16531 17344 23424 26016 33062 34688 38333 49593 52032 66124 76666 99186 104064 114999 132248 153332 198372 229998 264496 306664 396744 459996 528992 613328 793488 919992 1057984 1226656 1586976 1839984 2115968 2338313 2453312 3173952 3679968 4676626 4906624 6347904 7014939 7359936 9353252 10388243 14029878 14719872 18706504 20776486 28059756 31164729 37413008 41552972 56119512 62329458 74826016 83105944 112239024 124658916 149652032 166211888 224478048 249317832 299304064 332423776 448956096 498635664 633682823 664847552 897912192 997271328 1267365646 1329695104 1901048469 1994542656 2534731292 3802096938 3989085312 5069462584 7604193876 10138925168 15208387752 20277850336 30416775504 40555700672 60833551008 81111401344 121667102016 243334204032