113138145120
113,138,145,120 is an even composite number composed of eight prime numbers multiplied together.
113138145120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 113138145120:
25 × 3 × 5 × 7 × 11 × 132 × 59 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 13 × 59 × 307)See below for interesting mathematical facts about the number 113138145120 from the Numbermatics database.
Names of 113138145120
- Cardinal: 113138145120 can be written as One hundred thirteen billion, one hundred thirty-eight million, one hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.1313814512 × 1011
Factors of 113138145120
Divisors of 113138145120
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 59 60 65 66 70 77 78 80 84 88 91 96 104 105 110 112 118 120 130 132 140 143 154 156 160 165 168 169 176 177 182 195 208 210 220 224 231 236 240 260 264 273 280 286 295 307 308 312 330 336 338 352 354 364 385 390 413 416 420 429 440 455 462 472 480 507 520 528 546 560 572 590 614 616 624 649 660 672 676 708 715 728 767 770 780 826 840 845 858 880 885 910 921 924 944 1001 1014 1040 1056 1092 1120 1144 1155 1180 1183 1228 1232 1239 1248 1298 1320 1352 1365 1416 1430 1456 1534 1535 1540 1560 1652 1680 1690 1716 1760 1770 1820 1842 1848 1859 1888 1947 2002 2028 2065 2080 2145 2149 2184 2288 2301 2310 2360 2366 2456 2464 2478 2535 2596 2640 2704 2730 2832 2860 2912 3003 3068 3070 3080 3120 3245 3304 3360 3377 3380 3432 3540 3549 3640 3684 3696 3718 3835 3894 3991 4004 4056 4130 4290 4298 4368 4543 4576 4602 4605 4620 4720 4732 4912 4956 5005 5070 5192 5280 5369 5408 5460 5577 5664 5720 5915 6006 6136 6140 6160 6195 6240 6447 6490 6608 6754 6760 6864 7080 7098 7280 7368 7392 7436 7670 7788 7982 8008 8112 8260 8437 8580 8596 8736 9086 9204 9210 9240 9295 9440 9464 9735 9824 9912 9971 10010 10131 10140 10384 10738 10745 10920 11154 11440 11505 11830 11973 12012 12272 12280 12320 12390 12894 12980 13013 13216 13508 13520 13629 13728 14160 14196 14560 14736 14872 15015 15340 15576 15964 16016 16107 16224 16520 16874 16885 17160 17192 17745 18113 18172 18408 18420 18480 18590 18928 19470 19824 19942 19955 20020 20262 20280 20768 21476 21490 21840 22308 22715 22880 23010 23639 23660 23946 24024 24544 24560 24780 25311 25788 25960 26026 26845 27016 27040 27258 27885 27937 28320 28392 29472 29744 29913 30030 30680 31152 31928 32032 32214 32235 33040 33748 33770 34320 34384 35490 36226 36344 36816 36840 36960 37180 37856 38940 39039 39648 39884 39910 40040 40524 40560 42185 42952 42980 43680 43901 44616 45430 46020 47278 47320 47892 48048 49120 49560 49855 50622 50655 51576 51883 51920 52052 53690 54032 54339 54516 55770 55874 56784 59059 59488 59826 59865 60060 61360 62304 63856 64428 64470 65065 66080 67496 67540 68145 68640 68768 69797 70917 70980 72452 72688 73632 73680 74360 77880 78078 79768 79820 80080 80535 81048 81120 83811 84370 85904 85960 87802 89232 90565 90860 92040 94556 94640 95784 96096 99120 99710 101244 101310 103152 103766 103840 104104 107380 108064 108678 109032 109681 111540 111748 113568 118118 118195 119652 119730 120120 122720 126555 126791 127712 128856 128940 130130 131703 134992 135080 136290 139594 139685 141834 141960 144904 145376 147360 148720 149565 155649 155760 156156 159536 159640 160160 161070 162096 167622 168740 171808 171920 175604 177177 178464 181130 181720 184080 189112 189280 191568 195195 198240 199243 199420 202488 202620 206304 207532 208208 209391 214760 217356 218064 219362 219505 223080 223496 235469 236236 236390 239304 239460 240240 253110 253582 257712 257880 259415 260260 263406 269984 270160 271695 272580 279188 279370 283668 283920 289808 295295 297440 299130 307307 311298 311520 312312 319072 319280 322140 324192 329043 335244 337480 343840 348985 351208 354354 354585 362260 363181 363440 368160 378224 380373 383136 390390 398486 398840 404976 405240 415064 416416 418782 419055 429520 434712 436128 438724 439010 446160 446992 470938 472472 472780 478608 478920 480480 506220 507164 515424 515760 518830 520520 526812 540320 543390 545160 548405 558376 558740 567336 567840 570713 579616 590590 597729 598260 614614 622596 624624 633955 638560 644280 658086 658515 670488 674960 697970 702416 706407 708708 709170 724520 726362 726880 756448 760746 767767 778245 780780 796972 797680 809952 810480 830128 837564 838110 859040 869424 877448 878020 885885 892320 893984 921921 941876 944944 945560 957216 957840 996215 1012440 1014328 1031520 1037660 1041040 1046955 1053624 1086780 1089543 1090320 1096810 1116752 1117480 1134672 1141426 1177345 1181180 1195458 1196520 1229228 1245192 1249248 1267910 1288560 1316172 1317030 1340976 1349920 1394701 1395940 1404832 1412814 1417416 1418340 1449040 1452724 1521492 1535534 1536535 1556490 1561560 1593944 1595360 1620960 1645215 1648283 1660256 1675128 1676220 1712139 1738848 1754896 1756040 1771770 1815905 1843842 1883752 1889888 1891120 1901865 1915680 1992430 2024880 2028656 2075320 2082080 2093910 2107248 2173560 2179086 2180640 2193620 2233504 2234960 2269344 2282852 2303301 2354690 2362360 2390916 2393040 2458456 2490384 2535820 2577120 2590159 2632344 2634060 2681952 2789402 2791880 2825628 2834832 2836680 2853565 2898080 2905448 2988645 3042984 3061097 3071068 3073070 3112980 3123120 3187888 3290430 3296566 3350256 3352440 3424278 3509792 3512080 3532035 3543540 3631810 3687684 3767504 3782240 3803730 3838835 3984860 3994991 4049760 4057312 4150640 4184103 4187820 4214496 4347120 4358172 4387240 4469920 4565704 4606602 4609605 4709380 4724720 4781832 4786080 4916912 4944849 4980768 5071640 5180318 5264688 5268120 5447715 5578804 5583760 5651256 5669664 5673360 5707130 5810896 5977290 6085968 6122194 6142136 6146140 6225960 6246240 6375776 6580860 6593132 6700512 6704880 6848556 6973505 7024160 7064070 7087080 7263620 7375368 7535008 7607460 7677670 7770477 7969720 7989982 8241415 8301280 8368206 8375640 8560695 8694240 8716344 8774480 9131408 9183291 9213204 9219210 9418760 9449440 9563664 9833824 9889698 10143280 10360636 10529376 10536240 10895430 11157608 11167520 11302512 11346720 11414260 11516505 11621792 11954580 11984973 12171936 12244388 12284272 12292280 12451920 12950795 13161720 13186264 13409760 13697112 13947010 14128140 14174160 14527240 14750736 15214920 15305485 15355340 15540954 15939440 15979964 16482830 16736412 16751280 17121390 17432688 17548960 18131113 18262816 18366582 18426408 18438420 18837520 19127328 19779396 19974955 20286560 20721272 20920515 21072480 21427679 21790860 22315216 22605024 22828520 23033010 23909160 23969946 24488776 24568544 24584560 24724245 24903840 25901590 26323440 26372528 27394224 27894020 28256280 28348320 29054480 29501472 30429840 30610970 30710680 31081908 31878880 31959928 32965660 33472824 33502560 33672067 34242780 34865376 36262226 36733164 36852816 36876840 37675040 38852385 39558792 39949910 41442544 41841030 42855358 43581720 44630432 45657040 45916455 46066020 47818320 47939892 48977552 49169120 49448490 51803180 52646880 52745056 54393339 54788448 55788040 56512560 58108960 59924865 60859680 61221940 61421360 62163816 63919856 64283037 65931320 66945648 67344134 68485560 72524452 73466328 73705632 73753680 77704770 79117584 79899820 82885088 83682060 85710716 87163440 90655565 91314080 91832910 92132040 95636640 95879784 97955104 98896980 101016201 103606360 107138395 108786678 111576080 113025120 119849730 122443880 122842720 124327632 127839712 128566074 131862640 133891296 134688268 136971120 145048904 146932656 147507360 155409540 158235168 159799640 167364120 168360335 171421432 174326880 181311130 183665820 184264080 191759568 197793960 202032402 207212720 214276790 217573356 223152160 235704469 239699460 244887760 248655264 257132148 263725280 269376536 271966695 273942240 290097808 293865312 310819080 319599280 321415185 334728240 336720670 342842864 362622260 367331640 368528160 383519136 395587920 404064804 414425440 428553580 435146712 471408938 479398920 489775520 505081005 514264296 538753072 543933390 580195616 621638160 639198560 642830370 669456480 673441340 685685728 707113407 725244520 734663280 791175840 808129608 857107160 870293424 942817876 958797840 1010162010 1028528592 1077506144 1087866780 1178522345 1243276320 1285660740 1346882680 1414226814 1450489040 1469326560 1616259216 1714214320 1740586848 1885635752 1917595680 2020324020 2057057184 2175733560 2357044690 2571321480 2693765360 2828453628 2900978080 3232518432 3428428640 3535567035 3771271504 4040648040 4351467120 4714089380 5142642960 5387530720 5656907256 7071134070 7542543008 8081296080 8702934240 9428178760 10285285920 11313814512 14142268140 16162592160 18856357520 22627629024 28284536280 37712715040 56569072560 113138145120
- Sum of all divisors σ(n): 490880839680
- Sum of proper divisors (its aliquot sum) s(n): 377742694560
- 113138145120 is an abundant number, because the sum of its proper divisors (377742694560) is greater than itself. Its abundance is 264604549440
Bases of 113138145120
- Binary: 11010010101111000111100010111011000002
- Hexadecimal: 0x1A578F1760
- Base-36: 1FZ3J3HC
Squares and roots of 113138145120
- 113138145120 squared (1131381451202) is 12800239881194179814400
- 113138145120 cubed (1131381451203) is 1448195397249358674740961865728000
-
The
square root of 113138145120 is 336360.1419906943 -
The
cube root of 113138145120 is 4836.5574568389
Scales and comparisons
How big is 113138145120?- 113,138,145,120 seconds is equal to 3,597 years, 23 weeks, 6 hours, 32 minutes.
-
To count from 1 to 113,138,145,120 would take you about seven thousand, one hundred ninety-four 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 113138145120 cubic inches would be around 403 feet tall.
Recreational maths with 113138145120
- 113138145120 backwards is 021541831311
- 113138145120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 113138145120's digits is 30
- More coming soon!
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The information we have on file for 113138145120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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