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43442131300000 = 2555434421313
BaseRepresentation
bin10011110000010101010001…
…10011011110111010100000
312200211000201211020110012221
421320022220303132322200
521143223441103100000
6232221012320000424
712102406340251216
oct1170125063367240
9180730654213187
1043442131300000
1112929782648444
124a57461a60114
131b317632149c4
14aa2878c18cb6
155050699dc61a
hex2782a8cdeea0

43442131300000 has 72 divisors (see below), whose sum is σ = 106901528106492. Its totient is φ = 17376852480000.

The previous prime is 43442131299991. The next prime is 43442131300003. The reversal of 43442131300000 is 313124434.

It can be written as a sum of positive squares in 6 ways, for example, as 5323707123856 + 38118424176144 = 2307316^2 + 6174012^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (43442131300003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217110657 + ... + 217310656.

Almost surely, 243442131300000 is an apocalyptic number.

43442131300000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43442131300000 is an abundant number, since it is smaller than the sum of its proper divisors (63459396806492).

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

43442131300000 is an frugal number, since it uses more digits than its factorization.

43442131300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434421348 (or 434421320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 43442131300000 its reverse (313124434), we get a palindrome (43442444424434).

The spelling of 43442131300000 in words is "forty-three trillion, four hundred forty-two billion, one hundred thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 434421313 868842626 1737685252 2172106565 3475370504 4344213130 6950741008 8688426260 10860532825 13901482016 17376852520 21721065650 34753705040 43442131300 54302664125 69507410080 86884262600 108605328250 173768525200 217210656500 271513320625 347537050400 434421313000 543026641250 868842626000 1086053282500 1357566603125 1737685252000 2172106565000 2715133206250 4344213130000 5430266412500 8688426260000 10860532825000 21721065650000 43442131300000