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140442123314130 = 235111932269971833
BaseRepresentation
bin11111111011101100111010…
…110111110010001111010010
3200102021010200001020222111120
4133323230322313302033102
5121402000432032023010
61214410115404023110
741403415511326101
oct3773547267621722
9612233601228446
10140442123314130
1140827196323a50
121390275ab31a96
136049834c92b91
142697613a56038
15113834dedbe70
hex7fbb3adf23d2

140442123314130 has 128 divisors (see below), whose sum is σ = 369771485978880. Its totient is φ = 33855206031360.

The previous prime is 140442123314071. The next prime is 140442123314131. The reversal of 140442123314130 is 31413321244041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 140442123314091 and 140442123314100.

It is not an unprimeable number, because it can be changed into a prime (140442123314131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144026694 + ... + 144998526.

It is an arithmetic number, because the mean of its divisors is an integer number (2888839734210).

Almost surely, 2140442123314130 is an apocalyptic number.

140442123314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140442123314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184885742989440).

140442123314130 is an abundant number, since it is smaller than the sum of its proper divisors (229329362664750).

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

140442123314130 is a wasteful number, since it uses less digits than its factorization.

140442123314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974316.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 140442123314130 its reverse (31413321244041), we get a palindrome (171855444558171).

The spelling of 140442123314130 in words is "one hundred forty trillion, four hundred forty-two billion, one hundred twenty-three million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 193 330 386 579 965 1158 1930 2123 2269 2895 4246 4538 5790 6369 6807 10615 11345 12738 13614 21230 22690 24959 31845 34035 49918 63690 68070 74877 124795 149754 249590 374385 437917 748770 875834 971833 1313751 1943666 2189585 2627502 2915499 4379170 4817087 4859165 5830998 6568755 9634174 9718330 10690163 13137510 14451261 14577495 21380326 24085435 28902522 29154990 32070489 48170870 53450815 64140978 72256305 106901630 144512610 160352445 187563769 320704890 375127538 562691307 937818845 1125382614 1875637690 2063201459 2205089077 2813456535 4126402918 4410178154 5626913070 6189604377 6615267231 10316007295 11025445385 12379208754 13230534462 20632014590 22050890770 24255979847 30948021885 33076336155 48511959694 61896043770 66152672310 72767939541 121279899235 145535879082 242559798470 363839697705 425582191861 727679395410 851164383722 1276746575583 2127910959305 2553493151166 4255821918610 4681404110471 6383732877915 9362808220942 12767465755830 14044212331413 23407020552355 28088424662826 46814041104710 70221061657065 140442123314130