2131724448000
2,131,724,448,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 2131724448000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
2131724448000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 2131724448000:
28 × 32 × 53 × 7 × 53 × 71 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 53 × 71 × 281)See below for interesting mathematical facts about the number 2131724448000 from the Numbermatics database.
Names of 2131724448000
- Cardinal: 2131724448000 can be written as Two trillion, one hundred thirty-one billion, seven hundred twenty-four million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.131724448 × 1012
Factors of 2131724448000
Divisors of 2131724448000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 53 56 60 63 64 70 71 72 75 80 84 90 96 100 105 106 112 120 125 126 128 140 142 144 150 159 160 168 175 180 192 200 210 212 213 224 225 240 250 252 256 265 280 281 284 288 300 315 318 320 336 350 355 360 371 375 384 400 420 424 426 448 450 477 480 497 500 504 525 530 560 562 568 576 600 630 636 639 640 672 700 710 720 742 750 768 795 800 840 843 848 852 875 896 900 954 960 994 1000 1008 1050 1060 1065 1113 1120 1124 1125 1136 1152 1200 1260 1272 1278 1280 1325 1344 1400 1405 1420 1440 1484 1491 1500 1575 1590 1600 1680 1686 1696 1704 1750 1775 1792 1800 1855 1908 1920 1967 1988 2000 2016 2100 2120 2130 2226 2240 2248 2250 2272 2304 2385 2400 2485 2520 2529 2544 2556 2625 2650 2688 2800 2810 2840 2880 2968 2982 3000 3150 3180 3195 3200 3339 3360 3372 3392 3408 3500 3550 3600 3710 3763 3816 3840 3934 3975 3976 4000 4032 4200 4215 4240 4260 4452 4473 4480 4496 4500 4544 4770 4800 4970 5040 5058 5088 5112 5250 5300 5325 5376 5565 5600 5620 5680 5760 5901 5936 5964 6000 6300 6360 6390 6400 6625 6678 6720 6744 6784 6816 7000 7025 7100 7200 7420 7455 7526 7632 7868 7875 7950 7952 8000 8064 8400 8430 8480 8520 8875 8904 8946 8960 8992 9000 9088 9275 9540 9600 9835 9940 10080 10116 10176 10224 10500 10600 10650 11130 11200 11240 11289 11360 11520 11802 11872 11925 11928 12000 12425 12600 12645 12720 12780 13250 13356 13440 13488 13568 13632 14000 14050 14200 14400 14840 14893 14910 15052 15264 15736 15750 15900 15904 15975 16000 16128 16695 16800 16860 16960 17040 17703 17750 17808 17892 17984 18000 18176 18550 18815 19080 19200 19670 19875 19880 19951 20160 20232 20352 20448 21000 21075 21200 21300 22260 22365 22400 22480 22578 22720 23604 23744 23850 23856 24000 24850 25200 25290 25440 25560 26341 26500 26625 26712 26880 26976 27264 27825 28000 28100 28400 28800 29505 29680 29786 29820 30104 30528 31472 31500 31800 31808 31950 32000 33390 33600 33720 33867 33920 34080 35125 35406 35500 35616 35784 35968 36000 37100 37275 37630 38160 39340 39750 39760 39902 40320 40464 40704 40896 42000 42150 42400 42600 44520 44679 44730 44800 44960 45156 45440 46375 47208 47488 47700 47712 48000 49175 49700 50400 50580 50880 51120 52682 53000 53250 53424 53952 54528 55650 56000 56200 56445 56800 57600 59010 59360 59572 59625 59640 59853 60208 61056 62125 62944 63000 63225 63600 63616 63900 66780 67200 67440 67734 67840 68160 70250 70812 71000 71232 71568 71936 72000 74200 74465 74550 75260 76320 78680 79023 79500 79520 79804 79875 80640 80928 81792 83475 84000 84300 84800 85200 88515 89040 89358 89460 89920 90312 90880 92750 94075 94416 94976 95400 95424 96000 98350 99400 99755 100800 101160 101760 102240 104251 105364 105375 106000 106500 106848 107904 111300 111825 112000 112400 112890 113600 118020 118720 119144 119250 119280 119706 120416 122112 124250 125888 126000 126450 127200 127232 127800 131705 133560 134037 134400 134880 135468 136320 139125 139657 140500 141624 142000 142464 143136 144000 147525 148400 148930 149100 150520 152640 157360 158046 159000 159040 159608 159750 161856 163584 166950 168000 168600 169335 169600 170400 177030 178080 178716 178920 179559 179840 180624 185500 186375 188150 188832 190800 190848 196700 198800 199510 201600 202320 203520 204480 208502 210728 210750 212000 213000 213696 215808 222600 223395 223650 224000 224800 225780 227200 236040 237069 237440 238288 238500 238560 239412 240832 245875 248500 251776 252000 252900 254400 255600 263410 267120 268074 269760 270936 272640 278250 279314 281000 282225 283248 284000 284928 286272 288000 295050 296800 297860 298200 299265 301040 305280 312753 314720 316092 316125 318000 318080 319216 319500 323712 333900 336000 337200 338670 339200 340800 354060 356160 357432 357840 359118 359680 361248 371000 372325 372750 376300 377664 381600 381696 393400 395115 397600 399020 403200 404640 408960 417004 417375 418971 421456 421500 424000 426000 427392 442575 445200 446790 447300 449600 451560 454400 470375 472080 474138 474880 476576 477000 477120 478824 481664 491750 497000 498775 503552 504000 505800 508800 511200 521255 526820 534240 536148 539520 541872 556500 558628 559125 562000 564450 566496 568000 572544 590100 593600 595720 596400 598530 602080 610560 625506 629440 632184 632250 636000 636160 638432 639000 647424 658525 667800 670185 672000 674400 677340 681600 698285 708120 712320 714864 715680 718236 722496 737625 742000 744650 745500 752600 755328 763200 786800 790230 795200 798040 809280 817920 834008 834750 837942 842912 843000 846675 848000 852000 854784 885150 890400 893580 894600 897795 899200 903120 938259 940750 944160 948276 953152 954000 954240 957648 963328 983500 994000 997550 1008000 1011600 1017600 1022400 1042510 1053640 1057403 1068480 1072296 1079040 1083744 1113000 1116975 1117256 1118250 1124000 1128900 1132992 1136000 1145088 1180200 1185345 1187200 1191440 1192800 1197060 1204160 1251012 1256913 1258880 1264368 1264500 1272000 1276864 1278000 1317050 1335600 1340370 1348800 1354680 1363200 1396570 1411125 1416240 1424640 1429728 1431360 1436472 1444992 1475250 1484000 1489300 1491000 1496325 1505200 1510656 1526400 1563765 1573600 1580460 1590400 1596080 1618560 1668016 1669500 1675884 1685824 1686000 1693350 1696000 1704000 1770300 1780800 1787160 1789200 1795590 1798400 1806240 1861625 1876518 1881500 1888320 1896552 1906304 1908000 1908480 1915296 1967000 1975575 1988000 1995100 2016000 2023200 2044800 2085020 2094855 2107280 2114806 2136960 2144592 2167488 2212875 2226000 2233950 2234512 2236500 2248000 2257800 2265984 2272000 2360400 2370690 2374400 2382880 2385600 2394120 2408320 2493875 2502024 2513826 2517760 2528736 2529000 2544000 2553728 2556000 2606275 2634100 2671200 2680740 2697600 2709360 2793140 2822250 2832480 2859456 2862720 2872944 2889984 2950500 2968000 2978600 2982000 2992650 3010400 3052800 3127530 3147200 3160920 3172209 3180800 3192160 3237120 3292625 3336032 3339000 3350925 3351768 3371648 3372000 3386700 3408000 3491425 3540600 3561600 3574320 3578400 3591180 3612480 3723250 3753036 3763000 3776640 3793104 3812608 3816000 3830592 3934000 3951150 3976000 3990200 4046400 4089600 4170040 4189710 4214560 4229612 4233375 4273920 4289184 4334976 4425750 4452000 4467900 4469024 4473000 4488975 4496000 4515600 4531968 4691295 4720800 4741380 4765760 4771200 4788240 4816640 4987750 5004048 5027652 5057472 5058000 5088000 5107456 5112000 5212550 5268200 5287015 5342400 5361480 5395200 5418720 5584875 5586280 5644500 5664960 5718912 5725440 5745888 5901000 5926725 5936000 5957200 5964000 5985300 6020800 6255060 6284565 6294400 6321840 6344418 6384320 6585250 6672064 6678000 6701850 6703536 6743296 6744000 6773400 6816000 6982850 7081200 7123200 7148640 7156800 7182360 7224960 7401821 7446500 7481625 7506072 7526000 7553280 7586208 7632000 7661184 7818825 7868000 7902300 7952000 7980400 8092800 8340080 8379420 8429120 8459224 8466750 8578368 8669952 8851500 8904000 8935800 8938048 8946000 8977950 8992000 9031200 9382590 9441600 9482760 9516627 9531520 9542400 9576480 9877875 9975500 10008096 10055304 10114944 10116000 10224000 10425100 10474275 10536400 10574030 10684800 10722960 10837440 11169750 11172560 11289000 11329920 11437824 11491776 11802000 11853450 11872000 11914400 11928000 11970600 12041600 12510120 12569130 12588800 12643680 12688836 12768640 13031375 13170500 13344128 13356000 13403700 13407072 13488000 13546800 13965700 14162400 14297280 14313600 14364720 14449920 14803642 14893000 14963250 15012144 15052000 15172416 15264000 15322368 15637650 15736000 15804600 15861045 15904000 15960800 16185600 16680160 16754625 16758840 16858240 16918448 16933500 17156736 17457125 17703000 17808000 17871600 17876096 17892000 17955900 18062400 18765180 18883200 18965520 19033254 19063040 19152960 19755750 19951000 20016192 20110608 20229888 20232000 20448000 20850200 20948550 21072800 21148060 21369600 21445920 21674880 22205463 22339500 22345120 22444875 22578000 22659840 22983552 23456475 23604000 23706900 23828800 23856000 23941200 24083200 25020240 25138260 25287360 25377672 25537280 26062750 26341000 26435075 26688256 26712000 26807400 26814144 26976000 27093600 27931400 28324800 28594560 28627200 28729440 29607284 29633625 29786000 29926500 30024288 30104000 30344832 31275300 31422825 31472000 31609200 31722090 31921600 33360320 33509250 33517680 33716480 33836896 33867000 34313472 34914250 35406000 35616000 35743200 35752192 35784000 35911800 36124800 37009105 37530360 37766400 37931040 38066508 38305920 39094125 39511500 39902000 40032384 40221216 40464000 41700400 41897100 42145600 42296120 42891840 43349760 44410926 44679000 44690240 44889750 45156000 45967104 46912950 47208000 47413800 47583135 47657600 47712000 47882400 50040480 50276520 50574720 50755344 52125500 52371375 52682000 52870150 53424000 53614800 53628288 54187200 55862800 56649600 57189120 57458880 59214568 59267250 59572000 59853000 60048576 60208000 60689664 62550600 62845650 62944000 63218400 63444180 63843200 66616389 66720640 67018500 67035360 67673792 67734000 69828500 70812000 71486400 71568000 71823600 72249600 74018210 75060720 75862080 76133016 76611840 78188250 79023000 79305225 79804000 80064768 80442432 80928000 83400800 83794200 84291200 84592240 85783680 88821852 89358000 89380480 89779500 90312000 93825900 94416000 94827600 95166270 95315200 95764800 100080960 100553040 101149440 101510688 104251000 104742750 105364000 105740300 106848000 107229600 107256576 108374400 111027315 111725600 113299200 114917760 117282375 118429136 118534500 119144000 119706000 120097152 120416000 125101200 125691300 126436800 126888360 127686400 132175375 133232778 133441280 134037000 134070720 135347584 135468000 139657000 141624000 142972800 143136000 143647200 148036420 150121440 151724160 152266032 156376500 157114125 158046000 158610450 159608000 160884864 166801600 167588400 168582400 169184480 171567360 177643704 178716000 178760960 179559000 180624000 185045525 187651800 188832000 189655200 190332540 191529600 200161920 201106080 203021376 208502000 209485500 210728000 211480600 214459200 216748800 222054630 223451200 229835520 234564750 236858272 237069000 237915675 238288000 239412000 240194304 250202400 251382600 252873600 253776720 264350750 266465556 268074000 268141440 270695168 270936000 279314000 283248000 285945600 287294400 296072840 300242880 303448320 304532064 312753000 314228250 316092000 317220900 319216000 321769728 333081945 333603200 335176800 338368960 355287408 357432000 359118000 361248000 370091050 375303600 379310400 380665080 383059200 396526125 400323840 402212160 406042752 417004000 418971000 421456000 422961200 428918400 444109260 446902400 469129500 473716544 474138000 475831350 476576000 478824000 500404800 502765200 505747200 507553440 528701500 532931112 536148000 536282880 541872000 555136575 558628000 566496000 574588800 592145680 600485760 609064128 625506000 628456500 632184000 634441800 638432000 666163890 667206400 670353600 676737920 710574816 714864000 718236000 740182100 750607200 758620800 761330160 793052250 804424320 812085504 834008000 837942000 842912000 845922400 857836800 888218520 893804800 925227625 938259000 947433088 948276000 951662700 957648000 1000809600 1005530400 1015106880 1057403000 1065862224 1072296000 1083744000 1110273150 1117256000 1149177600 1184291360 1189578375 1200971520 1218128256 1251012000 1256913000 1264368000 1268883600 1332327780 1340707200 1353475840 1421149632 1429728000 1436472000 1480364200 1501214400 1517241600 1522660320 1586104500 1608848640 1665409725 1668016000 1675884000 1691844800 1776437040 1850455250 1876518000 1894866176 1896552000 1903325400 1915296000 2001619200 2011060800 2030213760 2114806000 2131724448 2144592000 2220546300 2234512000 2368582720 2379156750 2436256512 2502024000 2513826000 2528736000 2537767200 2664655560 2681414400 2775682875 2842299264 2872944000 2960728400 3002428800 3045320640 3172209000 3330819450 3336032000 3351768000 3383689600 3552874080 3700910500 3753036000 3793104000 3806650800 4022121600 4060427520 4229612000 4263448896 4289184000 4441092600 4469024000 4737165440 4758313500 5004048000 5027652000 5075534400 5329311120 5551365750 5684598528 5745888000 5921456800 6004857600 6090641280 6344418000 6661638900 6703536000 6767379200 7105748160 7401821000 7506072000 7586208000 7613301600 8044243200 8327048625 8459224000 8526897792 8882185200 9474330880 9516627000 10008096000 10055304000 10151068800 10658622240 11102731500 11842913600 12181282560 12688836000 13323277800 13407072000 14211496320 14803642000 15012144000 15226603200 16654097250 16918448000 17053795584 17764370400 19033254000 20110608000 20302137600 21317244480 22205463000 23685827200 25377672000 26646555600 28422992640 29607284000 30024288000 30453206400 33308194500 33836896000 35528740800 38066508000 40221216000 42634488960 44410926000 47371654400 50755344000 53293111200 59214568000 60906412800 66616389000 71057481600 76133016000 85268977920 88821852000 101510688000 106586222400 118429136000 133232778000 142114963200 152266032000 177643704000 213172444800 236858272000 266465556000 304532064000 355287408000 426344889600 532931112000 710574816000 1065862224000 2131724448000
- Sum of all divisors σ(n): 9089797377024
- Sum of proper divisors (its aliquot sum) s(n): 6958072929024
- 2131724448000 is an abundant number, because the sum of its proper divisors (6958072929024) is greater than itself. Its abundance is 4826348481024
Bases of 2131724448000
- Binary: 111110000010101001010110110110001000000002
- Hexadecimal: 0x1F054ADB100
- Base-36: R7ATP340
Squares and roots of 2131724448000
- 2131724448000 squared (21317244480002) is 4544249122200904704000000
- 2131724448000 cubed (21317244480003) is 9687086951598208125235003392000000000
-
The
square root of 2131724448000 is 1460042.6185560475 -
The
cube root of 2131724448000 is 12869.9548106353
Scales and comparisons
How big is 2131724448000?- 2,131,724,448,000 seconds is equal to 67,782 years, 12 weeks, 4 days, 16 hours.
-
To count from 1 to 2,131,724,448,000 would take you about one hundred sixty-nine thousand, four hundred fifty-five 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 2131724448000 cubic inches would be around 1072.5 feet tall.
Recreational maths with 2131724448000
- 2131724448000 backwards is 0008444271312
- 2131724448000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2131724448000's digits is 36
- More coming soon!
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The information we have on file for 2131724448000 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 2131724448000, math, Factors of 2131724448000, curriculum, school, college, exams, university, Prime factorization of 2131724448000, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred thirty-one billion, seven hundred twenty-four million, four hundred forty-eight thousand.