2198120248800

Names of 2198120248800

• Cardinal: 2198120248800 can be written as Two trillion, one hundred ninety-eight billion, one hundred twenty million, two hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 2.1981202488 × 10¹²

Factors of 2198120248800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 61240

Divisors of 2198120248800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 30 31 32 35 36 40 42 45 46 48 50 56 60 62 63 69 70 72 75 80 84 90 92 93 96 100 105 112 115 120 124 126 138 140 144 150 155 160 161 168 175 180 184 186 200 207 210 217 224 225 230 240 248 252 276 279 280 288 300 310 315 322 336 345 350 360 368 372 400 414 420 434 450 460 465 480 483 496 504 525 552 558 560 575 600 620 630 644 651 672 690 700 713 720 736 744 775 800 805 828 840 868 900 920 930 966 992 1008 1035 1050 1085 1104 1116 1120 1150 1200 1240 1260 1288 1302 1380 1395 1400 1426 1440 1449 1488 1550 1575 1610 1656 1680 1725 1736 1800 1840 1860 1932 1953 2016 2070 2100 2139 2170 2208 2232 2300 2325 2400 2415 2480 2520 2576 2604 2760 2790 2800 2852 2898 2976 3100 3150 3220 3255 3312 3360 3450 3472 3565 3600 3680 3720 3864 3906 4025 4140 4200 4278 4340 4464 4600 4650 4830 4960 4991 5040 5152 5175 5208 5425 5520 5580 5600 5704 5796 6200 6300 6417 6440 6510 6624 6900 6944 6975 7130 7200 7245 7440 7728 7812 8050 8280 8400 8556 8680 8928 9200 9300 9660 9765 9982 10080 10350 10416 10695 10850 11040 11160 11408 11592 12075 12400 12600 12834 12880 13020 13800 13950 14260 14490 14880 14973 15456 15624 16100 16275 16560 16800 17112 17360 17825 18400 18600 19320 19530 19964 20700 20832 21390 21700 22320 22816 23184 24150 24800 24955 25200 25668 25760 26040 27600 27900 28520 28980 29946 31248 32085 32200 32550 33120 34224 34720 35650 36225 37200 38640 39060 39928 41400 42780 43400 44640 44919 46368 48300 48825 49910 50400 51336 52080 53475 55200 55800 57040 57960 59892 61169 62496 64170 64400 65100 68448 71300 72450 74400 74865 77280 78120 79856 82800 85560 86800 89838 96600 97650 99820 102672 104160 106950 111600 114080 115920 119784 122338 124775 128340 128800 130200 142600 144900 149730 156240 159712 160425 165600 171120 173600 179676 183507 193200 195300 199640 205344 213900 223200 224595 231840 239568 244676 249550 256680 260400 285200 289800 299460 305845 312480 320850 342240 359352 367014 374325 386400 390600 399280 427800 428183 449190 479136 489352 499100 513360 520800 550521 570400 579600 598920 611690 641700 718704 734028 748650 781200 798560 855600 856366 898380 917535 978704 998200 1026720 1101042 1122975 1159200 1197840 1223380 1283400 1284549 1406887 1437408 1468056 1497300 1529225 1562400 1711200 1712732 1796760 1835070 1896239 1957408 1996400 2140915 2202084 2245950 2395680 2446760 2566800 2569098 2752605 2813774 2936112 2994600 3058450 3425464 3593520 3670140 3792478 3853647 3992800 4220661 4281830 4404168 4491900 4587675 4893520 5133600 5138196 5505210 5627548 5688717 5872224 5989200 6116900 6422745 6850928 7034435 7187040 7340280 7584956 7707294 8441322 8563660 8808336 8983800 9175350 9481195 9787040 9848209 10276392 10704575 11010420 11255096 11377434 11978400 12233800 12661983 12845490 13273673 13701856 13763025 14068870 14680560 15169912 15414588 16882644 17066151 17127320 17616672 17967600 18350700 18962390 19268235 19696418 20552784 21103305 21409150 22020840 22510192 22754868 24467600 25323966 25690980 26547346 27526050 28137740 28443585 29361120 29544627 30339824 30829176 32113725 33765288 34132302 34254640 35172175 35935200 36701400 37924780 38536470 39392836 39821019 41105568 42206610 42818300 43613497 44041680 45020384 45509736 47405975 48935200 49241045 50647932 51381960 53094692 55052100 56275480 56887170 59089254 60679648 61658352 63309915 64227450 66368365 67530576 68264604 68509280 70344350 73402800 75849560 77072940 78785672 79642038 84413220 85330755 85636600 87226994 88083360 88633881 91019472 94811950 96341175 98482090 101295864 102763920 105516525 106189384 110104200 112550960 113774340 118178508 119463057 123316704 126619830 128454900 130840491 132736730 135061152 136529208 140688700 142217925 146805600 147723135 151699120 154145880 157571344 159284076 168826440 170661510 171273200 174453988 177267762 182038944 189623900 192682350 196964180 199105095 202591728 205527840 211033050 212378768 218067485 220208400 225101920 227548680 236357016 238926114 246205225 253239660 256909800 261680982 265473460 273058416 281377400 284435850 295446270 303398240 305294479 308291760 315142688 316549575 318568152 331841825 337652880 341323020 342546400 348907976 354535524 379247800 385364700 392521473 393928360 398210190 405183456 422066100 424757536 426653775 436134970 440416800 443169405 455097360 472714032 477852228 492410450 506479320 513819600 523361964 530946920 546116832 562754800 568871700 590892540 597315285 610588958 616583520 633099150 637136304 654202455 663683650 675305760 682646040 697815952 709071048 738615675 758495600 770729400 785042946 787856720 796420380 844132200 853307550 872269940 886338810 910194720 915883437 945428064 955704456 984820900 995525475 1012958640 1027639200 1046723928 1061893840 1090337425 1125509600 1137743400 1181785080 1194630570 1221177916 1266198300 1274272608 1308404910 1327367300 1365292080 1395631904 1418142096 1477231350 1516991200 1526472395 1541458800 1570085892 1575713440 1592840760 1688264400 1706615100 1744539880 1772677620 1831766874 1911408912 1962607365 1969641800 1991050950 2025917280 2093447856 2123787680 2180674850 2215847025 2275486800 2363570160 2389261140 2442355832 2532396600 2616809820 2654734600 2730584160 2747650311 2836284192 2954462700 2986576425 3052944790 3082917600 3140171784 3185681520 3271012275 3376528800 3413230200 3489079760 3545355240 3663533748 3822817824 3925214730 3939283600 3982101900 4186895712 4361349700 4431694050 4550973600 4579417185 4727140320 4778522280 4884711664 5064793200 5233619640 5309469200 5495300622 5908925400 5973152850 6105889580 6280343568 6371363040 6542024550 6826460400 6978159520 7090710480 7327067496 7632361975 7850429460 7878567200 7964203800 8722699400 8863388100 9158834370 9557044560 9769423328 9813036825 10129586400 10467239280 10618938400 10990601244 11817850800 11946305700 12211779160 12560687136 13084049100 13652920800 13738251555 14181420960 14654134992 15264723950 15700858920 15928407600 17445398800 17726776200 18317668740 19114089120 19626073650 20934478560 21981202488 22897085925 23635701600 23892611400 24423558320 26168098200 27476503110 29308269984 30529447900 31401717840 31856815200 34890797600 35453552400 36635337480 39252147300 43962404976 45794171850 47785222800 48847116640 52336196400 54953006220 61058895800 62803435680 68691257775 70907104800 73270674960 78504294600 87924809952 91588343700 95570445600 104672392800 109906012440 122117791600 137382515550 146541349920 157008589200 183176687400 219812024880 244235583200 274765031100 314017178400 366353374800 439624049760 549530062200 732706749600 1099060124400 2198120248800
• Sum of all divisors σ(n): 9541909278720
• Sum of proper divisors (its aliquot sum) s(n): 7343789029920
• 2198120248800 is an abundant number, because the sum of its proper divisors (7343789029920) is greater than itself. Its abundance is 5145668781120

Bases of 2198120248800

• Binary: 11111111111001010001011010011010111100000₂
• Hexadecimal: 0x1FFCA2D35E0
• Base-36: S1SW1IW0

Squares and roots of 2198120248800

• 2198120248800 squared (2198120248800²) is 4831732628184573901440000
• 2198120248800 cubed (2198120248800³) is 10620729326800153476555279478272000000
• The square root of 2198120248800 is 1482605.8980052657
• The cube root of 2198120248800 is 13002.2091882627

Scales and comparisons

• 2,198,120,248,800 seconds is equal to 69,893 years, 22 weeks, 14 hours.
• To count from 1 to 2,198,120,248,800 would take you about one hundred seventy-four thousand, seven hundred thirty-three 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 2198120248800 cubic inches would be around 1083.5 feet tall.

Recreational maths with 2198120248800

• 2198120248800 backwards is 0088420218912
• 2198120248800 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2198120248800's digits is 45
• More coming soon!