1828480368000
1,828,480,368,000 is an even composite number composed of seven prime numbers multiplied together.
1828480368000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 1828480368000:
27 × 3 × 53 × 112 × 13 × 61 × 397
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 61 × 397)See below for interesting mathematical facts about the number 1828480368000 from the Numbermatics database.
Names of 1828480368000
- Cardinal: 1828480368000 can be written as One trillion, eight hundred twenty-eight billion, four hundred eighty million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.828480368 × 1012
Factors of 1828480368000
Divisors of 1828480368000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 61 64 65 66 75 78 80 88 96 100 104 110 120 121 122 125 128 130 132 143 150 156 160 165 176 183 192 195 200 208 220 240 242 244 250 260 264 275 286 300 305 312 320 325 330 352 363 366 375 384 390 397 400 416 429 440 480 484 488 500 520 528 550 572 600 605 610 624 640 650 660 671 704 715 726 732 750 780 793 794 800 825 832 858 880 915 960 968 975 976 1000 1040 1056 1100 1144 1191 1200 1210 1220 1248 1300 1320 1342 1375 1408 1430 1452 1464 1500 1525 1560 1573 1586 1588 1600 1625 1650 1664 1716 1760 1815 1830 1920 1936 1950 1952 1985 2000 2013 2080 2112 2145 2200 2288 2379 2382 2400 2420 2440 2496 2600 2640 2684 2750 2860 2904 2928 3000 3025 3050 3120 3146 3172 3176 3200 3250 3300 3355 3432 3520 3575 3630 3660 3872 3900 3904 3965 3970 4000 4026 4125 4160 4224 4290 4367 4400 4575 4576 4719 4758 4764 4800 4840 4875 4880 4992 5161 5200 5280 5368 5500 5720 5808 5856 5955 6000 6050 6100 6240 6292 6344 6352 6500 6600 6710 6864 7040 7150 7260 7320 7381 7625 7744 7800 7808 7865 7930 7940 8000 8052 8250 8320 8580 8723 8734 8800 9075 9150 9152 9438 9516 9528 9600 9680 9750 9760 9925 10065 10322 10400 10560 10725 10736 11000 11440 11616 11712 11895 11910 12000 12100 12200 12480 12584 12688 12704 13000 13101 13200 13420 13728 14300 14520 14640 14762 15125 15250 15483 15488 15600 15730 15860 15880 16000 16104 16500 16775 17160 17446 17468 17600 17875 18150 18300 18304 18876 19032 19056 19360 19500 19520 19825 19850 20130 20644 20800 21120 21450 21472 21835 22000 22143 22875 22880 23232 23424 23595 23790 23820 24000 24200 24217 24400 24960 25168 25376 25408 25805 26000 26169 26202 26400 26840 27456 28600 29040 29280 29524 29775 30250 30500 30966 31200 31460 31720 31760 32208 33000 33550 34320 34892 34936 35200 35750 36300 36600 36905 37752 38064 38112 38720 39000 39040 39325 39650 39700 40260 41288 41600 42900 42944 43615 43670 44000 44286 45375 45750 45760 46464 47190 47580 47640 48000 48037 48400 48434 48800 49625 50325 50336 50752 50816 51610 52000 52338 52404 52800 53625 53680 54912 56771 57200 58080 58560 59048 59475 59550 60500 61000 61932 62400 62920 63440 63520 64416 65505 66000 67100 68640 69784 69872 71500 72600 72651 73200 73810 75504 76128 76224 77415 77440 78000 78650 79300 79400 80520 82576 83875 85800 85888 87230 87340 88000 88572 90750 91500 91520 94380 95160 95280 95953 96074 96800 96868 97600 99125 99250 100650 100672 101504 103220 104000 104676 104808 105600 107250 107360 109175 110715 113542 114400 116160 117120 117975 118096 118950 119100 121000 121085 122000 123864 124800 125840 126880 127040 128832 129025 130845 131010 132000 134200 137280 139568 139744 143000 144111 145200 145302 146400 147620 148875 151008 152256 152448 154830 156000 157300 158600 158800 161040 165152 167750 170313 171600 174460 174680 176000 177144 181500 183000 184525 188760 190320 190560 191906 192148 193600 193736 195200 196625 198250 198500 201300 201344 206440 208000 209352 209616 214500 214720 218075 218350 221430 227084 228800 232320 235950 236192 237900 238200 240185 242000 242170 244000 247728 251625 251680 253760 254080 257664 258050 261690 262020 264000 266387 268400 274560 279136 279488 283855 286000 287859 288222 290400 290604 292800 295240 297375 297750 302016 304512 309660 312000 314600 314821 317200 317600 322080 327525 330304 335500 340626 343200 348920 349360 354288 363000 363255 366000 369050 377520 380640 381120 383812 384296 387075 387200 387472 393250 396500 397000 402600 412880 418704 419232 429000 429440 436150 436700 442860 454168 457600 471900 472384 475800 476400 479765 480370 484000 484340 488000 495456 503250 503360 507520 516100 523380 524040 528000 532774 536800 545875 553575 558272 558976 567710 572000 575718 576444 580800 581208 585600 589875 590480 594750 595500 604032 605425 619320 624000 624481 629200 629642 634400 635200 644160 645125 654225 655050 660608 671000 681252 686400 697840 698720 708576 720555 726000 726510 732000 738100 755040 761280 762240 767624 768592 774150 774944 786500 793000 794000 799161 805200 825760 837408 838464 851565 858000 872300 873400 885720 908336 922625 943800 944463 944768 951600 952800 959530 960740 968000 968680 976000 990912 1006500 1006720 1032200 1046760 1048080 1065548 1073600 1090375 1091750 1107150 1116544 1135420 1144000 1151436 1152888 1161600 1162416 1179750 1180960 1189500 1191000 1200925 1210850 1238640 1248962 1258400 1259284 1268800 1270400 1288320 1290250 1308450 1310100 1331935 1342000 1362504 1372800 1395680 1397440 1417152 1419275 1439295 1441110 1452000 1453020 1464000 1476200 1510080 1522560 1535248 1537184 1548300 1549888 1573000 1574105 1586000 1588000 1598322 1610400 1637625 1651520 1674816 1676928 1703130 1716000 1744600 1746800 1771440 1816275 1816672 1845250 1873443 1887600 1888926 1903200 1905600 1919060 1921480 1935375 1936000 1937360 1981824 2013000 2064400 2093520 2096160 2131096 2147200 2180750 2183500 2214300 2270840 2288000 2302872 2305776 2324832 2359500 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6987200 7085760 7096375 7196475 7205550 7265100 7266688 7381000 7493772 7550400 7555704 7612800 7676240 7685920 7741500 7749440 7870525 7991610 8052000 8257600 8374080 8384640 8515650 8524384 8723000 8734000 8790771 8857200 9081375 9083360 9211488 9223104 9299328 9367215 9438000 9444630 9516000 9528000 9595300 9607400 9686800 9909120 9991696 10074272 10322000 10389093 10467600 10480800 10655480 10736000 10900032 11071500 11354200 11514360 11528880 11624160 11721028 11809600 11994125 12009250 12108500 12281984 12386400 12489620 12584000 12592840 12688000 12786576 13084500 13101000 13319350 13625040 13852124 13956800 13974400 14171520 14192750 14392950 14411100 14530200 14651285 14762000 14987544 15100800 15111408 15352480 15371840 15483000 15498880 15612025 15741050 15983220 16104000 16515200 16748160 17031300 17048768 17315155 17446000 17468000 17581542 17714400 18013875 18162750 18166720 18422976 18446208 18734430 18876000 18889260 19032000 19056000 19190600 19214800 19373600 19979025 19983392 20148544 20644000 20778186 20935200 20961600 21289125 21310960 21800064 22143000 22708400 23028720 23057760 23248320 23442056 23611575 23619200 23988250 24018500 24217000 24772800 24979240 25168000 25185680 25573152 26169000 26202000 26638700 27250080 27704248 27913600 28385500 28785900 28822200 29060400 29302570 29524000 29975088 30222816 30704960 30743680 30966000 31224050 31482100 31966440 32208000 33298375 34062600 34097536 34630310 34892000 34936000 35163084 35428800 35982375 36027750 36325500 36333440 36845952 37468860 37752000 37778520 38064000 38093341 38381200 38429600 38747200 39352625 39958050 39966784 40297088 41288000 41556372 41870400 41923200 42578250 42621920 43953855 44286000 45416800 46057440 46115520 46496640 46836075 46884112 47223150 47976500 48037000 48434000 49545600 49958480 50371360 51146304 51945465 52338000 52404000 53277400 54500160 55408496 56771000 57571800 57644400 58120800 58605140 59048000 59950176 60445632 61409920 61932000 62448100 62964200 63932880 66596750 68125200 69260620 69784000 69872000 70326168 70857600 71964750 72055500 72651000 73256425 74937720 75504000 75557040 76186682 76762400 76859200 77494400 78060125 78705250 79916100 79933568 82576000 83112744 83740800 85156500 85243840 86575775 87907710 88572000 90833600 92114880 92231040 93672150 93768224 94446300 95953000 96074000 96868000 99895125 99916960 100742720 102292608 103890930 104676000 104808000 106554800 109000320 110816992 113542000 114280023 115143600 115288800 116241600 117210280 118057875 118096000 119900352 120891264 123864000 124896200 125928400 127865760 133193500 136250400 138521240 139568000 140652336 143929500 144111000 145302000 146512850 149875440 151114080 152373364 153524800 153718400 156120250 157410500 159832200 166225488 170313000 170487680 173151550 175815420 177144000 181667200 184229760 187344300 187536448 188892600 190466705 191906000 192148000 193736000 199790250 199833920 201485440 207781860 209352000 209616000 213109600 219769275 221633984 227084000 228560046 230287200 230577600 232483200 234180375 234420560 236115750 239800704 247728000 249792400 251856800 255731520 259727325 266387000 272500800 277042480 281304672 287859000 288222000 290604000 293025700 299750880 302228160 304746728 307049600 312240500 314821000 319664400 332450976 340626000 346303100 351630840 354288000 366282125 374688600 375072896 377785200 380933410 383812000 384296000 387472000 399580500 399667840 415563720 418704000 426219200 432878875 439538550 443267968 454168000 457120092 460574400 461155200 468360750 468841120 472231500 499584800 503713600 511463040 519454650 532774000 545001600 554084960 562609344 571400115 575718000 576444000 581208000 586051400 599501760 604456320 609493456 624481000 629642000 639328800 664901952 681252000 692606200 703261680 732564250 749377200 755570400 761866820 767624000 768592000 799161000 831127440 852438400 865757750 879077100 908336000 914240184 921148800 936721500 937682240 944463000 952333525 999169600 1007427200 1038909300 1065548000 1098846375 1108169920 1125218688 1142800230 1151436000 1152888000 1162416000 1172102800 1199003520 1218986912 1248962000 1259284000 1278657600 1298636625 1329803904 1362504000 1385212400 1406523360 1465128500 1498754400 1511140800 1523733640 1535248000 1598322000 1662254880 1731515500 1758154200 1828480368 1873443000 1875364480 1888926000 1904667050 1998339200 2077818600 2131096000 2197692750 2216339840 2285600460 2302872000 2305776000 2344205600 2437973824 2497924000 2518568000 2557315200 2597273250 2725008000 2770424800 2813046720 2857000575 2930257000 2997508800 3022281600 3047467280 3196644000 3324509760 3463031000 3516308400 3656960736 3746886000 3777852000 3809334100 4155637200 4262192000 4395385500 4571200920 4605744000 4688411200 4761667625 4875947648 4995848000 5037136000 5194546500 5540849600 5626093440 5714001150 5860514000 5995017600 6094934560 6393288000 6649019520 6926062000 7032616800 7313921472 7493772000 7555704000 7618668200 8311274400 8790771000 9142401840 9376822400 9523335250 9991696000 10389093000 11081699200 11428002300 11721028000 12189869120 12786576000 13852124000 14065233600 14285002875 14627842944 14987544000 15111408000 15237336400 16622548800 17581542000 18284803680 19046670500 20778186000 22856004600 23442056000 24379738240 27704248000 28130467200 28570005750 29975088000 30474672800 33245097600 35163084000 36569607360 38093341000 41556372000 45712009200 46884112000 55408496000 57140011500 60949345600 70326168000 73139214720 76186682000 83112744000 91424018400 114280023000 121898691200 140652336000 152373364000 166225488000 182848036800 228560046000 304746728000 365696073600 457120092000 609493456000 914240184000 1828480368000
- Sum of all divisors σ(n): 7311040813440
- Sum of proper divisors (its aliquot sum) s(n): 5482560445440
- 1828480368000 is an abundant number, because the sum of its proper divisors (5482560445440) is greater than itself. Its abundance is 3654080077440
Bases of 1828480368000
- Binary: 110101001101110011110110000111101100000002
- Hexadecimal: 0x1A9B9EC3D80
- Base-36: NBZQ01HC
Squares and roots of 1828480368000
- 1828480368000 squared (18284803680002) is 3343340456161415424000000
- 1828480368000 cubed (18284803680003) is 6113232387631312741876396032000000000
-
The
square root of 1828480368000 is 1352213.1370460797 -
The
cube root of 1828480368000 is 12228.2253591301
Scales and comparisons
How big is 1828480368000?- 1,828,480,368,000 seconds is equal to 58,140 years, 1 week, 5 hours, 20 minutes.
-
To count from 1 to 1,828,480,368,000 would take you about one hundred forty-five thousand, three hundred fifty 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 1828480368000 cubic inches would be around 1019 feet tall.
Recreational maths with 1828480368000
- 1828480368000 backwards is 0008630848281
- 1828480368000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1828480368000's digits is 48
- More coming soon!
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Numbermatics. (2024). Number 1828480368000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/1828480368000/
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The information we have on file for 1828480368000 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 1828480368000, math, Factors of 1828480368000, curriculum, school, college, exams, university, Prime factorization of 1828480368000, STEM, science, technology, engineering, physics, economics, calculator, one trillion, eight hundred twenty-eight billion, four hundred eighty million, three hundred sixty-eight thousand.