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244436634442 = 271113243218419
BaseRepresentation
bin1110001110100110001…
…1110000101101001010
3212100221012122121022001
43203221203300231022
513001101234300232
6304143113221214
723442240053050
oct3435143605512
9770835577261
10244436634442
1194735120380
123b45940180a
131a0865c0400
14bb8b9c21d0
1565596ce6e7
hex38e98f0b4a

244436634442 has 96 divisors (see below), whose sum is σ = 506510737920. Its totient is φ = 85864484160.

The previous prime is 244436634439. The next prime is 244436634461.

244436634442 is nontrivially palindromic in base 10.

244436634442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 244436634392 and 244436634401.

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 47 ways as a sum of consecutive naturals, for example, 1009909 + ... + 1228327.

It is an arithmetic number, because the mean of its divisors is an integer number (5276153520).

Almost surely, 2244436634442 is an apocalyptic number.

244436634442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

244436634442 is an abundant number, since it is smaller than the sum of its proper divisors (262074103478).

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

244436634442 is a wasteful number, since it uses less digits than its factorization.

244436634442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218508 (or 218495 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

It can be divided in two parts, 244436 and 634442, that added together give a palindrome (878878).

The spelling of 244436634442 in words is "two hundred forty-four billion, four hundred thirty-six million, six hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 43 77 86 91 143 154 169 182 286 301 338 473 559 602 946 1001 1118 1183 1859 2002 2366 3311 3718 3913 6149 6622 7267 7826 12298 13013 14534 26026 43043 50869 79937 86086 101738 159874 218419 436838 559559 1119118 1528933 2402609 2839447 3057866 4805218 5678894 9392017 16818263 18784034 19876129 31233917 33636526 36912811 39752258 62467834 65744119 73825622 103312187 122096221 131488238 206624374 218637419 244192442 258389677 406040921 437274838 516779354 723185309 812081842 854673547 1343058431 1446370618 1587250873 1709347094 2686116862 2842286447 3174501746 5684572894 9401409017 11110756111 17459759603 18802818034 22221512222 34919519206 122218317221 244436634442