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30055553344000 = 29531097428093
BaseRepresentation
bin1101101010101110110101…
…00101001010001000000000
310221102021122012010000221101
412311113122211022020000
512414412233124002000
6143531155224104144
76221304426126232
oct665273245121000
9127367565100841
1030055553344000
1196385413526a8
123454b74005054
1313a02c387c132
1475c9a745c252
15371c31e78e6a
hex1b55da94a200

30055553344000 has 160 divisors (see below), whose sum is σ = 75013894468656. Its totient is φ = 12011234099200.

The previous prime is 30055553343953. The next prime is 30055553344021. The reversal of 30055553344000 is 44335555003.

It can be written as a sum of positive squares in 8 ways, for example, as 632826614016 + 29422726729984 = 795504^2 + 5424272^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

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, 69993954 + ... + 70422046.

Almost surely, 230055553344000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30055553344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37506947234328).

30055553344000 is an abundant number, since it is smaller than the sum of its proper divisors (44958341124656).

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

30055553344000 is an equidigital number, since it uses as much as digits as its factorization.

30055553344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429223 (or 429197 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 37.

Adding to 30055553344000 its reverse (44335555003), we get a palindrome (30099888899003).

The spelling of 30055553344000 in words is "thirty trillion, fifty-five billion, five hundred fifty-three million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1097 1280 1600 2000 2194 2560 3200 4000 4388 5485 6400 8000 8776 10970 12800 16000 17552 21940 27425 32000 35104 43880 54850 64000 70208 87760 109700 137125 140416 175520 219400 274250 280832 351040 428093 438800 548500 561664 702080 856186 877600 1097000 1404160 1712372 1755200 2140465 2194000 2808320 3424744 3510400 4280930 4388000 6849488 7020800 8561860 8776000 10702325 13698976 14041600 17123720 17552000 21404650 27397952 34247440 35104000 42809300 53511625 54795904 68494880 70208000 85618600 107023250 109591808 136989760 171237200 214046500 219183616 273979520 342474400 428093000 469618021 547959040 684948800 856186000 939236042 1095918080 1369897600 1712372000 1878472084 2348090105 2739795200 3424744000 3756944168 4696180210 5479590400 6849488000 7513888336 9392360420 11740450525 13698976000 15027776672 18784720840 23480901050 27397952000 30055553344 37569441680 46961802100 58702252625 60111106688 75138883360 93923604200 117404505250 120222213376 150277766720 187847208400 234809010500 240444426752 300555533440 375694416800 469618021000 601111066880 751388833600 939236042000 1202222133760 1502777667200 1878472084000 3005555334400 3756944168000 6011110668800 7513888336000 15027776672000 30055553344000