34130860019400
34,130,860,019,400 is an even composite number composed of eight prime numbers multiplied together.
34130860019400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 34130860019400:
23 × 3 × 52 × 17 × 37 × 61 × 181 × 8191
(2 × 2 × 2 × 3 × 5 × 5 × 17 × 37 × 61 × 181 × 8191)See below for interesting mathematical facts about the number 34130860019400 from the Numbermatics database.
Names of 34130860019400
- Cardinal: 34130860019400 can be written as Thirty-four trillion, one hundred thirty billion, eight hundred sixty million, nineteen thousand, four hundred.
Scientific notation
- Scientific notation: 3.41308600194 × 1013
Factors of 34130860019400
Divisors of 34130860019400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 37 40 50 51 60 61 68 74 75 85 100 102 111 120 122 136 148 150 170 181 183 185 200 204 222 244 255 296 300 305 340 362 366 370 408 425 444 488 510 543 555 600 610 629 680 724 732 740 850 888 905 915 925 1020 1037 1086 1110 1220 1258 1275 1448 1464 1480 1525 1700 1810 1830 1850 1887 2040 2074 2172 2220 2257 2440 2516 2550 2715 2775 3050 3077 3111 3145 3400 3620 3660 3700 3774 4148 4344 4440 4514 4525 4575 5032 5100 5185 5430 5550 6100 6154 6222 6290 6697 6771 7240 7320 7400 7548 8191 8296 9028 9050 9150 9231 9435 10200 10370 10860 11041 11100 11285 12200 12308 12444 12580 13394 13542 13575 15096 15385 15555 15725 16382 18056 18100 18300 18462 18870 20091 20740 21720 22082 22200 22570 24573 24616 24888 25160 25925 26788 27084 27150 30770 31110 31450 32764 33123 33485 33855 36200 36600 36924 37740 38369 40182 40955 41480 44164 45140 46155 47175 49146 51850 53576 54168 54300 55205 56425 61540 62220 62900 65528 66246 66970 67710 73848 75480 76738 76925 77775 80364 81910 88328 90280 92310 94350 98292 100455 103700 108600 110410 112850 113849 115107 122865 123080 124440 125800 132492 133940 135420 139247 153476 153850 155550 160728 163820 165615 167425 169275 184620 187697 188700 191845 196584 200910 204775 207400 220820 225700 227698 230214 230775 245730 264984 267880 270840 276025 278494 303067 306952 307700 311100 327640 331230 334850 338550 341547 369240 375394 377400 383690 401820 408517 409550 417741 441640 451400 455396 460428 461550 491460 499651 502275 552050 556988 563091 569245 575535 606134 614325 615400 622200 662460 669700 677100 683094 696235 750788 767380 803640 817034 819100 828075 835482 909201 910792 920856 923100 938485 959225 982920 999302 1004550 1104100 1113976 1126182 1138490 1151070 1212268 1225551 1228650 1324920 1339400 1354200 1366188 1392470 1482571 1498953 1501576 1515335 1534760 1634068 1638200 1656150 1670964 1707735 1818402 1846200 1876970 1918450 1998604 2009100 2042585 2088705 2208200 2252364 2276980 2302140 2424536 2451102 2457300 2498255 2732376 2784940 2815455 2846225 2877675 2965142 2997906 3030670 3268136 3312300 3341928 3415470 3481175 3636804 3753940 3836900 3997208 4018200 4085170 4177410 4447713 4504728 4546005 4553960 4604280 4692425 4902204 4914600 4996510 5152139 5569880 5630910 5692450 5755350 5930284 5995812 6061340 6127755 6624600 6830940 6944789 6962350 7273608 7412855 7494765 7507880 7576675 7673800 8170340 8354820 8494067 8538675 8895426 9092010 9384850 9804408 9993020 10212925 10304278 10443525 11261820 11384900 11510700 11860568 11991624 12122680 12255510 12491275 13661880 13889578 13924700 14077275 14825710 14989530 15153350 15456417 16340680 16709640 16988134 17077350 17790852 18184020 18487087 18769700 19986040 20425850 20608556 20834367 20887050 22238565 22523640 22730025 22769800 23021400 24511020 24982550 25203707 25482201 25760695 27779156 27849400 28154550 29651420 29979060 30306700 30638775 30912834 33976268 34154700 34723945 35581704 36368040 36974174 37064275 37473825 37539400 40851700 41217112 41668734 41774100 42470335 44477130 45460050 49022040 49965100 50407414 50964402 51521390 54855127 55461261 55558312 56309100 59302840 59958120 60613400 61277550 61825668 67952536 68309400 69447890 73948348 74128550 74947650 75611121 77282085 81703400 83337468 83548200 84940670 88954260 90436831 90920100 92435435 99930200 100814828 101928804 103042780 104171835 109710254 110922522 111192825 112618200 122555100 123651336 126018535 127411005 128803475 138895780 147896696 148257100 149895300 151222242 154564170 164565381 166674936 169881340 173619725 177908520 180873662 181840200 184870870 201629656 203857608 206085560 208343670 212351675 219420508 221845044 222385650 245110200 252037070 254822010 257606950 271310493 274275635 277306305 277791560 296514200 299790600 302444484 309128340 314280479 329130762 339762680 347239450 361747324 369741740 378055605 386410425 416687340 424703350 438841016 443690088 444771300 452184155 462177175 504074140 509644020 515213900 520859175 542620986 548551270 554612610 604888968 618256680 628560958 630092675 637055025 658261524 694478900 723494648 739483480 756111210 772820850 822826905 833374680 849406700 889542600 904368310 924354350 932537159 942841437 1008148280 1019288040 1030427800 1041718350 1085241972 1097102540 1109225220 1257121916 1260185350 1274110050 1316523048 1356552465 1371378175 1386531525 1388957800 1512222420 1537426127 1545641700 1571402395 1645653810 1698813400 1808736620 1848708700 1865074318 1885682874 1890278025 2083436700 2170483944 2194205080 2218450440 2260920775 2514243832 2520370700 2548220100 2713104930 2742756350 2773063050 2797611477 3024444840 3074852254 3091283400 3142804790 3291307620 3346162747 3617473240 3697417400 3730148636 3771365748 3780556050 4114134525 4166873400 4521841550 4612278381 4662685795 4714207185 5040741400 5096440200 5426209860 5485512700 5546126100 5595222954 6149704508 6285609580 6582615240 6692325494 6782762325 7460297272 7542731496 7561112100 7687130635 7857011975 8228269050 9043683100 9224556762 9325371590 9428414370 10038488241 10852419720 10971025400 11092252200 11190445908 12299409016 12571219160 13384650988 13565524650 13988057385 15122224200 15374261270 15714023950 16456538100 16730813735 18087366200 18449113524 18650743180 18856828740 20076976482 22380891816 23061391905 23313428975 23571035925 26769301976 27131049300 27976114770 30748522540 31428047900 32913076200 33461627470 36898227048 37301486360 37713657480 38435653175 40153952964 46122783810 46626857950 47142071850 50192441205 54262098600 55952229540 56884766699 61497045080 62856095800 66923254940 69940286925 76871306350 80307905928 83654068675 92245567620 93253715900 94284143700 100384882410 111904459080 113769533398 115306959525 133846509880 139880573850 153742612700 167308137350 170654300097 184491135240 186507431800 188568287400 200769764820 227539066796 230613919050 250962206025 279761147700 284423833495 307485225400 334616274700 341308600194 401539529640 455078133592 461227838100 501924412050 559522295400 568847666990 669232549400 682617200388 853271500485 922455676200 1003848824100 1137695333980 1365234400776 1422119167475 1706543000970 2007697648200 2275390667960 2844238334950 3413086001940 4266357502425 5688476669900 6826172003880 8532715004850 11376953339800 17065430009700 34130860019400
- Sum of all divisors σ(n): 117603992862720
- Sum of proper divisors (its aliquot sum) s(n): 83473132843320
- 34130860019400 is an abundant number, because the sum of its proper divisors (83473132843320) is greater than itself. Its abundance is 49342272823920
Bases of 34130860019400
- Binary: 1111100001010101101011100100110001110110010002
- Hexadecimal: 0x1F0AB5C98EC8
- Base-36: C3JI0TMFC
Squares and roots of 34130860019400
- 34130860019400 squared (341308600194002) is 1164915605663877368376360000
- 34130860019400 cubed (341308600194003) is 39759571471328368267101191416101384000000
-
The
square root of 34130860019400 is 5842162.2726007877 -
The
cube root of 34130860019400 is 32437.6271243967
Scales and comparisons
How big is 34130860019400?- 34,130,860,019,400 seconds is equal to 1,085,255 years, 40 weeks, 2 days, 1 hour, 50 minutes.
-
To count from 1 to 34,130,860,019,400 would take you about two million, seven hundred thirteen thousand, one hundred thirty-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 34130860019400 cubic inches would be around 2703.1 feet tall.
Recreational maths with 34130860019400
- 34130860019400 backwards is 00491006803143
- The number of decimal digits it has is: 14
- The sum of 34130860019400's digits is 39
- More coming soon!
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