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44304440042142 = 2347229192458971
BaseRepresentation
bin10100001001011011011100…
…11010010010001010011110
312210212110111121021020210000
422010231232122102022132
521301340443122322032
6234121102340555130
712221614216522500
oct1204555632221236
9183773447236700
1044304440042142
1113131453431355
124b765b73b2aa6
131b94b77034867
14ad24bc4d9d70
1551c6d807de7c
hex284b6e69229e

44304440042142 has 120 divisors (see below), whose sum is σ = 119465057689560. Its totient is φ = 12221914430880.

The previous prime is 44304440042123. The next prime is 44304440042189. The reversal of 44304440042142 is 24124004440344.

It is a happy number.

44304440042142 is a `hidden beast` number, since 4 + 4 + 30 + 4 + 4 + 400 + 4 + 214 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44304440042097 and 44304440042106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95999284 + ... + 96459687.

It is an arithmetic number, because the mean of its divisors is an integer number (995542147413).

Almost surely, 244304440042142 is an apocalyptic number.

44304440042142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

44304440042142 is an abundant number, since it is smaller than the sum of its proper divisors (75160617647418).

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

44304440042142 is a wasteful number, since it uses less digits than its factorization.

44304440042142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192459028 (or 192459012 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 44304440042142 its reverse (24124004440344), we get a palindrome (68428444482486).

The spelling of 44304440042142 in words is "forty-four trillion, three hundred four billion, four hundred forty million, forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 81 87 98 126 147 162 174 189 203 261 294 378 406 441 522 567 609 783 882 1134 1218 1323 1421 1566 1827 2349 2646 2842 3654 3969 4263 4698 5481 7938 8526 10962 12789 16443 25578 32886 38367 76734 115101 230202 192458971 384917942 577376913 1154753826 1347212797 1732130739 2694425594 3464261478 4041638391 5196392217 5581310159 8083276782 9430489579 10392784434 11162620318 12124915173 15589176651 16743930477 18860979158 24249830346 28291468737 31178353302 33487860954 36374745519 39069171113 50231791431 56582937474 72749491038 78138342226 84874406211 100463582862 109124236557 117207513339 150695374293 169748812422 218248473114 234415026678 254623218633 273484197791 301390748586 351622540017 452086122879 509246437266 546968395582 703245080034 763869655899 820452593373 904172245758 1054867620051 1527739311798 1640905186746 2109735240102 2461357780119 3164602860153 4922715560238 6329205720306 7384073340357 14768146680714 22152220021071 44304440042142