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442134103644160 = 211543177158559
BaseRepresentation
bin110010010000111100101111…
…0001100001101100000000000
32010222110121101212200221112221
41210201321132030031200000
5430422411121013103120
64204201334142500424
7162062064153455554
oct14441713614154000
92128417355627487
10442134103644160
11118972025105234
1241708674894714
1315c920b44911c5
147b27594a91864
15361adc90860aa
hex1921e5e30d800

442134103644160 has 48 divisors (see below), whose sum is σ = 1060862785819200. Its totient is φ = 176853641453568.

The previous prime is 442134103644151. The next prime is 442134103644161. The reversal of 442134103644160 is 61446301431244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442134103644161) 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 3 ways as a sum of consecutive naturals, for example, 21588569040 + ... + 21588589519.

It is an arithmetic number, because the mean of its divisors is an integer number (22101308037900).

Almost surely, 2442134103644160 is an apocalyptic number.

442134103644160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442134103644160 is an abundant number, since it is smaller than the sum of its proper divisors (618728682175040).

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

442134103644160 is an equidigital number, since it uses as much as digits as its factorization.

442134103644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43177158586 (or 43177158566 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 442134103644160 in words is "four hundred forty-two trillion, one hundred thirty-four billion, one hundred three million, six hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 43177158559 86354317118 172708634236 215885792795 345417268472 431771585590 690834536944 863543171180 1381669073888 1727086342360 2763338147776 3454172684720 5526676295552 6908345369440 11053352591104 13816690738880 22106705182208 27633381477760 44213410364416 55266762955520 88426820728832 110533525911040 221067051822080 442134103644160