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243423422144 = 2671761523969
BaseRepresentation
bin1110001010110100101…
…0101010011011000000
3212021022121010002022122
43202231022222123000
512442012344002034
6303454400423412
723405154643250
oct3425512523300
9767277102278
10243423422144
11942651a2a41
123b216017b68
1319c547084c6
14bad31d5960
1564ea78d62e
hex38ad2aa6c0

243423422144 has 112 divisors (see below), whose sum is σ = 594106528320. Its totient is φ = 96577781760.

The previous prime is 243423422119. The next prime is 243423422183. The reversal of 243423422144 is 441224324342.

It is a tau number, because it is divible by the number of its divisors (112).

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, 202592 + ... + 726560.

Almost surely, 2243423422144 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 243423422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297053264160).

243423422144 is an abundant number, since it is smaller than the sum of its proper divisors (350683106176).

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

243423422144 is a wasteful number, since it uses less digits than its factorization.

243423422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524066 (or 524056 counting only the distinct ones).

The product of its digits is 147456, while the sum is 35.

Adding to 243423422144 its reverse (441224324342), we get a palindrome (684647746486).

The spelling of 243423422144 in words is "two hundred forty-three billion, four hundred twenty-three million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 64 68 112 119 122 136 224 238 244 272 427 448 476 488 544 854 952 976 1037 1088 1708 1904 1952 2074 3416 3808 3904 4148 6832 7259 7616 8296 13664 14518 16592 27328 29036 33184 58072 66368 116144 232288 464576 523969 1047938 2095876 3667783 4191752 7335566 8383504 8907473 14671132 16767008 17814946 29342264 31962109 33534016 35629892 58684528 62352311 63924218 71259784 117369056 124704622 127848436 142519568 223734763 234738112 249409244 255696872 285039136 447469526 498818488 511393744 543355853 570078272 894939052 997636976 1022787488 1086711706 1789878104 1995273952 2045574976 2173423412 3579756208 3803490971 3990547904 4346846824 7159512416 7606981942 8693693648 14319024832 15213963884 17387387296 30427927768 34774774592 60855855536 121711711072 243423422144