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231430544000 = 2753109132701
BaseRepresentation
bin1101011110001001010…
…1011101101010000000
3211010100210101202022122
43113202111131222000
512242432204402000
6254152343423412
722502031111035
oct3274225355200
9733323352278
10231430544000
118a1705660a7
1238a29754b68
1318a92b984c6
14b2b650d38c
156047978085
hex35e255da80

231430544000 has 128 divisors (see below), whose sum is σ = 580677411600. Its totient is φ = 91722240000.

The previous prime is 231430543997. The next prime is 231430544027. The reversal of 231430544000 is 445034132.

231430544000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 33917852224 + 197512691776 = 184168^2 + 444424^2 .

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

It is a super-2 number, since 2×2314305440002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677650 + ... + 1810350.

Almost surely, 2231430544000 is an apocalyptic number.

231430544000 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 231430544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290338705800).

231430544000 is an abundant number, since it is smaller than the sum of its proper divisors (349246867600).

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

231430544000 is a wasteful number, since it uses less digits than its factorization.

231430544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132839 (or 132817 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 231430544000 its reverse (445034132), we get a palindrome (231875578132).

The spelling of 231430544000 in words is "two hundred thirty-one billion, four hundred thirty million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 125 128 160 200 218 250 320 400 436 500 545 640 800 872 1000 1090 1600 1744 2000 2180 2725 3200 3488 4000 4360 5450 6976 8000 8720 10900 13625 13952 16000 17440 21800 27250 34880 43600 54500 69760 87200 109000 132701 174400 218000 265402 348800 436000 530804 663505 872000 1061608 1327010 1744000 2123216 2654020 3317525 4246432 5308040 6635050 8492864 10616080 13270100 14464409 16587625 16985728 21232160 26540200 28928818 33175250 42464320 53080400 57857636 66350500 72322045 84928640 106160800 115715272 132701000 144644090 212321600 231430544 265402000 289288180 361610225 424643200 462861088 530804000 578576360 723220450 925722176 1061608000 1157152720 1446440900 1808051125 1851444352 2123216000 2314305440 2892881800 3616102250 4628610880 5785763600 7232204500 9257221760 11571527200 14464409000 23143054400 28928818000 46286108800 57857636000 115715272000 231430544000