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244220434130 = 251717346118013
BaseRepresentation
bin1110001101110010101…
…1000001011011010010
3212100101010211111020002
43203130223001123102
513000130412343010
6304105431250002
723434003303331
oct3433453013322
9770333744202
10244220434130
1194634082932
123b3b8b19902
131a05088332a
14bb6adc3d18
1565457251a5
hex38dcac16d2

244220434130 has 64 divisors (see below), whose sum is σ = 469187455968. Its totient is φ = 91207004160.

The previous prime is 244220434123. The next prime is 244220434141. The reversal of 244220434130 is 31434022442.

244220434130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 144096919201 + 100123514929 = 379601^2 + 316423^2 .

It is a junction number, because it is equal to n+sod(n) for n = 244220434093 and 244220434102.

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 31 ways as a sum of consecutive naturals, for example, 13549004 + ... + 13567016.

Almost surely, 2244220434130 is an apocalyptic number.

244220434130 is a deficient number, since it is larger than the sum of its proper divisors (224967021838).

244220434130 is a wasteful number, since it uses less digits than its factorization.

244220434130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18671.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 244220434130 its reverse (31434022442), we get a palindrome (275654456572).

The spelling of 244220434130 in words is "two hundred forty-four billion, two hundred twenty million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 5 10 17 34 85 170 173 346 461 865 922 1730 2305 2941 4610 5882 7837 14705 15674 18013 29410 36026 39185 78370 79753 90065 159506 180130 306221 398765 612442 797530 1355801 1531105 2711602 3062210 3116249 6232498 6779005 8303993 13558010 15581245 16607986 31162490 41519965 52976233 83039930 105952466 141167881 264881165 282335762 529762330 705839405 1411678810 1436590789 2873181578 7182953945 14365907890 24422043413 48844086826 122110217065 244220434130