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431514101140 = 2251712241103681
BaseRepresentation
bin1100100011110000011…
…11101010010110010100
31112020210221220120122221
412101320033222112110
524032220102214030
6530122420432124
743114215224623
oct6217017522624
91466727816587
10431514101140
11157005507a91
126b769248644
13318cb5c1b75
1416c577416ba
15b358404e7a
hex64783ea594

431514101140 has 48 divisors (see below), whose sum is σ = 959571933264. Its totient is φ = 162437529600.

The previous prime is 431514101119. The next prime is 431514101141. The reversal of 431514101140 is 41101415134.

It can be written as a sum of positive squares in 8 ways, for example, as 13013790084 + 418500311056 = 114078^2 + 646916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431514101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4110100 + ... + 4213780.

It is an arithmetic number, because the mean of its divisors is an integer number (19991081943).

Almost surely, 2431514101140 is an apocalyptic number.

It is an amenable number.

431514101140 is an abundant number, since it is smaller than the sum of its proper divisors (528057832124).

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

431514101140 is a wasteful number, since it uses less digits than its factorization.

431514101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115948 (or 115946 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 431514101140 its reverse (41101415134), we get a palindrome (472615516274).

The spelling of 431514101140 in words is "four hundred thirty-one billion, five hundred fourteen million, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 12241 24482 48964 61205 103681 122410 207362 208097 244820 414724 416194 518405 832388 1036810 1040485 1762577 2073620 2080970 3525154 4161940 7050308 8812885 17625770 35251540 1269159121 2538318242 5076636484 6345795605 12691591210 21575705057 25383182420 43151410114 86302820228 107878525285 215757050570 431514101140