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4204131241140 = 22325432329123321
BaseRepresentation
bin111101001011011001101…
…111111100110010110100
3112212220121010122011212200
4331023121233330302310
51022340030044204030
612535203510544500
7612511201633665
oct75133157746264
915786533564780
104204131241140
111380a64536446
1257a957068130
132465a8c9a99c
141076a3d7936c
157455be7ad60
hex3d2d9bfccb4

4204131241140 has 144 divisors (see below), whose sum is σ = 13050221760576. Its totient is φ = 1094935564800.

The previous prime is 4204131241133. The next prime is 4204131241151. The reversal of 4204131241140 is 411421314024.

4204131241140 is a `hidden beast` number, since 4 + 2 + 0 + 413 + 1 + 241 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180260680 + ... + 180284000.

It is an arithmetic number, because the mean of its divisors is an integer number (90626540004).

Almost surely, 24204131241140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204131241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525110880288).

4204131241140 is an abundant number, since it is smaller than the sum of its proper divisors (8846090519436).

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

4204131241140 is a wasteful number, since it uses less digits than its factorization.

4204131241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46670 (or 46665 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4204131241140 its reverse (411421314024), we get a palindrome (4615552555164).

The spelling of 4204131241140 in words is "four trillion, two hundred four billion, one hundred thirty-one million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 23291 23321 46582 46642 69873 69963 93164 93284 116455 116605 139746 139926 209619 209889 232910 233210 279492 279852 349365 349815 419238 419778 465820 466420 698730 699630 838476 839556 1001513 1002803 1048095 1049445 1397460 1399260 2003026 2005606 2096190 2098890 3004539 3008409 4006052 4011212 4192380 4197780 5007565 5014015 6009078 6016818 9013617 9025227 10015130 10028030 12018156 12033636 15022695 15042045 18027234 18050454 20030260 20056060 30045390 30084090 36054468 36100908 45068085 45126135 60090780 60168180 90136170 90252270 180272340 180504540 543169411 1086338822 1629508233 2172677644 2715847055 3259016466 4888524699 5431694110 6518032932 8147541165 9777049398 10863388220 16295082330 19554098796 23356284673 24442623495 32590164660 46712569346 48885246990 70068854019 93425138692 97770493980 116781423365 140137708038 210206562057 233562846730 280275416076 350344270095 420413124114 467125693460 700688540190 840826248228 1051032810285 1401377080380 2102065620570 4204131241140