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143244752880100 = 2252257246572
BaseRepresentation
bin100000100100011111000100…
…100111001000000111100100
3200210012001202010020100211111
4200210133010213020013210
5122233410223214130400
61224353421522114404
742113043340510234
oct4044370447100744
9623161663210744
10143244752880100
1141707838688343
1214095961aaba04
1361c0bcb1c90c1
142753123ba7cc4
1511861d107c3ba
hex8247c49c81e4

143244752880100 has 81 divisors (see below), whose sum is σ = 312122340654033. Its totient is φ = 57062696386560.

The previous prime is 143244752880029. The next prime is 143244752880109. The reversal of 143244752880100 is 1088257442341.

The square root of 143244752880100 is 11968490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 59164802561956 + 84079950318144 = 7691866^2 + 9169512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (143244752880109) 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 26 ways as a sum of consecutive naturals, for example, 30759016972 + ... + 30759021628.

Almost surely, 2143244752880100 is an apocalyptic number.

143244752880100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

143244752880100 is the 11968490-th square number.

It is an amenable number.

143244752880100 is an abundant number, since it is smaller than the sum of its proper divisors (168877587773933).

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

143244752880100 is an frugal number, since it uses more digits than its factorization.

143244752880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9842 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

The spelling of 143244752880100 in words is "one hundred forty-three trillion, two hundred forty-four billion, seven hundred fifty-two million, eight hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 514 1028 1285 2570 4657 5140 6425 9314 12850 18628 23285 25700 46570 66049 93140 116425 132098 232850 264196 330245 465700 660490 1196849 1320980 1651225 2393698 3302450 4787396 5984245 6604900 11968490 21687649 23936980 29921225 43375298 59842450 86750596 108438245 119684900 216876490 307590193 433752980 542191225 615180386 1084382450 1230360772 1537950965 2168764900 3075901930 5573725793 6151803860 7689754825 11147451586 15379509650 22294903172 27868628965 30759019300 55737257930 111474515860 139343144825 278686289650 557372579300 1432447528801 2864895057602 5729790115204 7162237644005 14324475288010 28648950576020 35811188220025 71622376440050 143244752880100