1028146083120
1,028,146,083,120 is an even composite number composed of seven prime numbers multiplied together.
1028146083120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 1028146083120:
24 × 36 × 5 × 13 × 17 × 241 × 331
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 17 × 241 × 331)See below for interesting mathematical facts about the number 1028146083120 from the Numbermatics database.
Names of 1028146083120
- Cardinal: 1028146083120 can be written as One trillion, twenty-eight billion, one hundred forty-six million, eighty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.02814608312 × 1012
Factors of 1028146083120
Divisors of 1028146083120
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 30 34 36 39 40 45 48 51 52 54 60 65 68 72 78 80 81 85 90 102 104 108 117 120 130 135 136 144 153 156 162 170 180 195 204 208 216 221 234 240 241 243 255 260 270 272 306 312 324 331 340 351 360 390 405 408 432 442 459 468 482 486 510 520 540 585 612 624 648 662 663 680 702 720 723 729 765 780 810 816 884 918 936 964 972 993 1020 1040 1053 1080 1105 1170 1205 1215 1224 1296 1324 1326 1360 1377 1404 1446 1458 1530 1560 1620 1655 1755 1768 1836 1872 1928 1944 1986 1989 2040 2106 2160 2169 2210 2295 2340 2410 2430 2448 2648 2652 2754 2808 2892 2916 2979 3060 3120 3133 3159 3240 3310 3315 3510 3536 3615 3645 3672 3856 3888 3972 3978 4080 4097 4131 4212 4303 4338 4420 4590 4680 4820 4860 4965 5265 5296 5304 5508 5616 5627 5784 5832 5958 5967 6120 6266 6318 6480 6507 6620 6630 6885 7020 7230 7290 7344 7944 7956 8194 8262 8424 8606 8676 8840 8937 9180 9360 9399 9477 9640 9720 9930 9945 10530 10608 10845 11016 11254 11568 11664 11916 11934 12240 12291 12393 12532 12636 12909 13014 13240 13260 13770 14040 14460 14580 14895 15665 15795 15888 15912 16388 16524 16848 16881 17212 17352 17680 17874 17901 18360 18798 18954 19280 19440 19521 19860 19890 20485 20655 21060 21515 21690 22032 22508 23832 23868 24582 24786 25064 25272 25818 26028 26480 26520 26811 27540 28080 28135 28197 28920 29160 29790 29835 31330 31590 31824 32535 32776 33048 33762 34424 34704 35748 35802 36720 36873 37596 37908 38727 39042 39720 39780 40970 41310 42120 43030 43380 44685 45016 46995 47385 47664 47736 49164 49572 50128 50544 50643 51636 52056 53040 53261 53622 53703 55080 56270 56394 57840 58320 58563 59580 59670 61455 61965 62660 63180 64545 65070 65552 66096 67524 68848 71496 71604 73151 73746 75192 75816 77454 78084 79440 79560 79771 80433 81940 82620 84240 84405 84591 86060 86760 89370 89505 90032 93990 94770 95472 97605 98328 99144 101286 103272 104112 106522 107244 107406 110160 110619 112540 112788 116181 117126 119160 119340 122910 123930 125320 126360 129090 130140 134055 135048 140985 142992 143208 146302 147492 150384 151632 151929 154908 156168 159120 159542 159783 160866 161109 163880 165240 168810 169182 172120 173520 175689 178740 179010 184365 187980 189540 193635 195210 196656 198288 202572 206544 213044 214488 214812 219453 221238 225080 225576 232362 234252 238320 238680 239313 241299 245820 247860 250640 252720 253215 253773 258180 260280 266305 268110 268515 270096 281970 286416 292604 292815 294984 303858 309816 312336 319084 319566 321732 322218 327760 330480 331857 337620 338364 344240 348543 351378 357480 358020 365755 368730 375960 379080 387270 390420 398855 402165 405144 422955 426088 428976 429624 438906 442476 450160 451152 455787 464724 468504 477360 478626 479349 482598 491640 495720 506430 507546 516360 520560 532610 536220 537030 553095 563940 580905 585208 585630 589968 607716 619632 638168 639132 643464 644436 658359 663714 675240 676728 697086 702756 714960 716040 717939 731510 737460 751920 758160 759645 761319 774540 780840 797710 798915 804330 805545 810288 845910 852176 859248 877812 878445 884952 911574 929448 937008 957252 958698 965196 983280 991440 995571 1012860 1015092 1032720 1037023 1045629 1065220 1072440 1074060 1097265 1106190 1127880 1161810 1170416 1171260 1196565 1206495 1215432 1268865 1276336 1278264 1286928 1288872 1316718 1327428 1350480 1353456 1356107 1367361 1394172 1405512 1432080 1435878 1438047 1463020 1474920 1519290 1522638 1549080 1561680 1595420 1597830 1608660 1611090 1659285 1691820 1742715 1755624 1756890 1769904 1823148 1858896 1914504 1917396 1930392 1975077 1991142 2025720 2030184 2074046 2091258 2130440 2144880 2148120 2153817 2194530 2212380 2255760 2278935 2283957 2323620 2342520 2393130 2396745 2412990 2430864 2537730 2556528 2577744 2633436 2654856 2712214 2734722 2788344 2811024 2871756 2876094 2926040 2949840 2986713 3038580 3045276 3098160 3111069 3136887 3190840 3195660 3217320 3222180 3291795 3318570 3383640 3485430 3511248 3513780 3589695 3646296 3806595 3829008 3834792 3860784 3950154 3982284 4051440 4060368 4068321 4102083 4148092 4182516 4260880 4296240 4307634 4314141 4389060 4424760 4557870 4567914 4647240 4685040 4786260 4793490 4825980 4977855 5075460 5185115 5228145 5266872 5309712 5424428 5469444 5576688 5743512 5752188 5852080 5925231 5973426 6077160 6090552 6222138 6273774 6381680 6391320 6434640 6444360 6461451 6583590 6637140 6767280 6780535 6836805 6970860 7027560 7179390 7190235 7292592 7613190 7669584 7900308 7964568 8136642 8204166 8296184 8365032 8615268 8628282 8778120 8849520 9115740 9135828 9294480 9333207 9572520 9586980 9651960 9875385 9955710 10150920 10370230 10456290 10533744 10769085 10848856 10938888 11419785 11487024 11504376 11850462 11946852 12154320 12181104 12204963 12444276 12547548 12782640 12888720 12922902 12942423 13167180 13274280 13561070 13673610 13941720 14055120 14358780 14380470 14933565 15226380 15555345 15684435 15800616 15929136 16273284 16408332 16592368 16730064 17230536 17256564 17556240 17629391 17775693 18231480 18271656 18666414 19145040 19173960 19303920 19384353 19750770 19911420 20301840 20341605 20510415 20740460 20912580 21538170 21570705 21697712 21877776 22839570 23008752 23700924 23893704 24409926 24888552 25095096 25845804 25884846 26334360 26548560 27122140 27347220 27883440 27999621 28717560 28760940 29626155 29867130 30452760 31110690 31368870 31601232 32307255 32546568 32816664 34461072 34513128 35258782 35551386 36462960 36543312 36614889 37332828 38347920 38768706 38827269 39501540 39822840 40683210 41020830 41480920 41825160 43076340 43141410 45679140 46666035 47401848 47787408 48819852 49777104 50190192 51691608 51769692 52668720 52888173 53327079 54244280 54694440 55999242 57435120 57521880 58153059 59252310 59734260 60905520 61024815 62221380 62737740 64614510 64712115 65093136 65633328 69026256 70517564 71102772 73229778 74665656 77537412 77654538 79003080 79645680 81366420 82041660 82961840 83650320 83998863 86152680 86282820 88146955 88878465 91358280 93332070 94803696 96921765 97639704 103383216 103539384 105776346 106654158 108488560 109388880 109844667 111998484 115043760 116306118 118504620 119468520 122049630 124442760 125475480 129229020 129424230 139998105 141035128 142205544 146459556 149331312 155074824 155309076 158006160 158664519 162732840 164083320 167997726 172305360 172565640 176293910 177756930 182716560 183074445 186664140 193843530 194136345 195279408 207078768 211552692 213308316 219689334 223996968 232612236 237009240 238937040 244099260 248885520 250950960 251996589 258458040 258848460 264440865 266635395 279996210 282070256 284411088 290765295 292919112 310149648 310618152 317329038 325465680 328166640 329534001 335995452 345131280 352587820 355513860 366148890 373328280 387687060 388272690 419994315 423105384 426616632 439378668 447993936 465224472 474018480 475993557 488198520 503993178 516916080 517696920 528881730 533270790 549223335 559992420 581530590 585838224 621236304 634658076 659068002 671990904 705175640 711027720 732297780 746656560 755989767 775374120 776545380 793322595 839988630 846210768 853233264 878757336 930448944 951987114 976397040 988602003 1007986356 1035393840 1057763460 1066541580 1098446670 1119984840 1163061180 1259982945 1269316152 1318136004 1343981808 1410351280 1422055440 1427980671 1464595560 1511979534 1550748240 1553090760 1586645190 1647670005 1679977260 1757514672 1903974228 1977204006 2015972712 2115526920 2133083160 2196893340 2239969680 2326122360 2379967785 2519965890 2538632304 2636272008 2855961342 2929191120 3023959068 3106181520 3173290380 3295340010 3359954520 3779948835 3807948456 3954408012 4031945424 4231053840 4266166320 4283942013 4393786680 4652244720 4759935570 4943010015 5039931780 5272544016 5711922684 6047918136 6346580760 6590680020 6719909040 7139903355 7559897670 7615896912 7908816024 8567884026 8787573360 9519871140 9886020030 10079863560 11423845368 12095836272 12693161520 12851826039 13181360040 14279806710 15119795340 15817632048 17135768052 19039742280 19772040060 20159727120 21419710065 22847690736 25703652078 26362720080 28559613420 30239590680 34271536104 38079484560 39544080120 42839420130 51407304156 57119226840 60479181360 64259130195 68543072208 79088160240 85678840260 102814608312 114238453680 128518260390 171357680520 205629216624 257036520780 342715361040 514073041560 1028146083120
- Sum of all divisors σ(n): 4116111177024
- Sum of proper divisors (its aliquot sum) s(n): 3087965093904
- 1028146083120 is an abundant number, because the sum of its proper divisors (3087965093904) is greater than itself. Its abundance is 2059819010784
Bases of 1028146083120
- Binary: 11101111011000100100100000110101001100002
- Hexadecimal: 0xEF62483530
- Base-36: D4BNMR00
Squares and roots of 1028146083120
- 1028146083120 squared (10281460831202) is 1057084368234997948934400
- 1028146083120 cubed (10281460831203) is 1086837152728192888898137137827328000
-
The
square root of 1028146083120 is 1013975.3858551005 -
The
cube root of 1028146083120 is 10092.9535633961
Scales and comparisons
How big is 1028146083120?- 1,028,146,083,120 seconds is equal to 32,691 years, 44 weeks, 6 days, 22 hours, 12 minutes.
-
To count from 1 to 1,028,146,083,120 would take you about eighty-one thousand, seven hundred twenty-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 1028146083120 cubic inches would be around 841.1 feet tall.
Recreational maths with 1028146083120
- 1028146083120 backwards is 0213806418201
- 1028146083120 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1028146083120's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 1028146083120 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 1028146083120 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/1028146083120/
Chicago style:
Numbermatics. 2024. "Number 1028146083120 - Facts about the integer". https://numbermatics.com/n/1028146083120/
The information we have on file for 1028146083120 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!
Keywords: Divisors of 1028146083120, math, Factors of 1028146083120, curriculum, school, college, exams, university, Prime factorization of 1028146083120, STEM, science, technology, engineering, physics, economics, calculator, one trillion, twenty-eight billion, one hundred forty-six million, eighty-three thousand, one hundred twenty.