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44404330312242 = 232233722312999253
BaseRepresentation
bin10100001100010101100000…
…10101011011001000110010
312211020000100010102201220100
422012022300111123020302
521310010032024442432
6234235022344053230
712232051462022655
oct1206126025331062
9184200303381810
1044404330312242
111316a85292a78a
124b91a34464216
131ba1405ba4b64
14ad7276b5589c
155200d284107c
hex2862b055b232

44404330312242 has 96 divisors (see below), whose sum is σ = 103568072444928. Its totient is φ = 13713482901888.

The previous prime is 44404330312063. The next prime is 44404330312271. The reversal of 44404330312242 is 24221303340444.

44404330312242 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 4 + 330 + 312 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44404330312197 and 44404330312206.

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, 3083713 + ... + 9915540.

It is an arithmetic number, because the mean of its divisors is an integer number (1078834087968).

Almost surely, 244404330312242 is an apocalyptic number.

44404330312242 is an abundant number, since it is smaller than the sum of its proper divisors (59163742132686).

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

44404330312242 is a wasteful number, since it uses less digits than its factorization.

44404330312242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999544 (or 12999541 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 44404330312242 its reverse (24221303340444), we get a palindrome (68625633652686).

The spelling of 44404330312242 in words is "forty-four trillion, four hundred four billion, three hundred thirty million, three hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 223 333 414 446 666 669 851 1338 1702 2007 2553 4014 5106 5129 7659 8251 10258 15318 15387 16502 24753 30774 46161 49506 74259 92322 148518 189773 379546 569319 1138638 1707957 3415914 12999253 25998506 38997759 77995518 116993277 233986554 298982819 480972361 597965638 896948457 961944722 1442917083 1793896914 2690845371 2885834166 2898833419 4328751249 5381690742 5797666838 8657502498 8696500257 11062364303 17393000514 22124728606 26089500771 33187092909 52179001542 66374185818 66673168637 99561278727 107256836503 133346337274 199122557454 200019505911 214513673006 321770509509 400039011822 600058517733 643541019018 965311528527 1200117035466 1930623057054 2466907239569 4933814479138 7400721718707 14801443437414 22202165156121 44404330312242