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244130461146 = 2321113313059509
BaseRepresentation
bin1110001101011101001…
…1110011010111011010
3212100010212112101111100
43203113103303113122
512444434344224041
6304052455012230
723431531452405
oct3432723632732
9770125471440
10244130461146
119459830a8a0
123b39296a076
131a038040790
14bb5d082d3c
15653c8a16b6
hex38d74f35da

244130461146 has 96 divisors (see below), whose sum is σ = 641469104640. Its totient is φ = 66085372800.

The previous prime is 244130461087. The next prime is 244130461151. The reversal of 244130461146 is 641164031442.

244130461146 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 30 + 4 + 611 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 244130461146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449961 + ... + 1609548.

It is an arithmetic number, because the mean of its divisors is an integer number (6681969840).

Almost surely, 2244130461146 is an apocalyptic number.

244130461146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

244130461146 is an abundant number, since it is smaller than the sum of its proper divisors (397338643494).

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

244130461146 is a wasteful number, since it uses less digits than its factorization.

244130461146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059572 (or 3059569 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 244130461146 its reverse (641164031442), we get a palindrome (885294492588).

The spelling of 244130461146 in words is "two hundred forty-four billion, one hundred thirty million, four hundred sixty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 62 66 78 93 99 117 143 186 198 234 279 286 341 403 429 558 682 806 858 1023 1209 1287 2046 2418 2574 3069 3627 4433 6138 7254 8866 13299 26598 39897 79794 3059509 6119018 9178527 18357054 27535581 33654599 39773617 55071162 67309198 79547234 94844779 100963797 119320851 189689558 201927594 238641702 284534337 302891391 357962553 437509787 569068674 605782782 715925106 853603011 875019574 1043292569 1232982127 1312529361 1707206022 2086585138 2465964254 2625058722 3129877707 3698946381 3937588083 6259755414 7397892762 7875176166 9389633121 11096839143 13562803397 18779266242 22193678286 27125606794 40688410191 81376820382 122065230573 244130461146