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332142410131120 = 24564112915017069
BaseRepresentation
bin100101110000101001110111…
…0010111101110011010110000
31121120000111121122021102102001
41023201103232113232122300
5322013310123443143440
63134224041115503344
7126650332360624111
oct11341235627563260
91546014548242361
10332142410131120
11969158946476a6
1231303511157b54
1311343b830924b4
145c03ac7dda208
15285ebbdc0eb9a
hex12e14ee5ee6b0

332142410131120 has 80 divisors (see below), whose sum is σ = 774035084789280. Its totient is φ = 132546922905600.

The previous prime is 332142410131099. The next prime is 332142410131151. The reversal of 332142410131120 is 21131014241233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3321424101311202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63693946 + ... + 68711014.

It is an arithmetic number, because the mean of its divisors is an integer number (9675438559866).

Almost surely, 2332142410131120 is an apocalyptic number.

It is an amenable number.

332142410131120 is an abundant number, since it is smaller than the sum of its proper divisors (441892674658160).

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

332142410131120 is a wasteful number, since it uses less digits than its factorization.

332142410131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019014 (or 5019008 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 332142410131120 its reverse (21131014241233), we get a palindrome (353273424372353).

The spelling of 332142410131120 in words is "three hundred thirty-two trillion, one hundred forty-two billion, four hundred ten million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 641 1282 1291 2564 2582 3205 5128 5164 6410 6455 10256 10328 12820 12910 20656 25640 25820 51280 51640 103280 827531 1655062 3310124 4137655 5017069 6620248 8275310 10034138 13240496 16550620 20068276 25085345 33101240 40136552 50170690 66202480 80273104 100341380 200682760 401365520 3215941229 6431882458 6477036079 12863764916 12954072158 16079706145 25727529832 25908144316 32159412290 32385180395 51455059664 51816288632 64318824580 64770360790 103632577264 128637649160 129540721580 257275298320 259081443160 518162886320 4151780126639 8303560253278 16607120506556 20758900633195 33214241013112 41517801266390 66428482026224 83035602532780 166071205065560 332142410131120