198738144000

Names of 198738144000

• Cardinal: 198738144000 can be written as One hundred ninety-eight billion, seven hundred thirty-eight million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.98738144 × 10¹¹

Factors of 198738144000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1922

Divisors of 198738144000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 88 90 96 99 100 108 110 120 121 125 128 132 135 144 150 160 165 176 180 192 198 200 216 220 225 240 242 250 256 264 270 275 288 297 300 320 330 352 360 363 375 384 396 400 432 440 450 480 484 495 500 528 540 550 576 594 600 605 640 660 675 704 720 726 750 768 792 800 825 864 880 900 960 968 990 1000 1056 1080 1089 1100 1125 1152 1188 1200 1210 1280 1320 1350 1375 1408 1440 1452 1485 1500 1584 1600 1650 1728 1760 1800 1815 1901 1920 1936 1980 2000 2112 2160 2178 2200 2250 2304 2376 2400 2420 2475 2640 2700 2750 2816 2880 2904 2970 3000 3025 3168 3200 3267 3300 3375 3456 3520 3600 3630 3802 3840 3872 3960 4000 4125 4224 4320 4356 4400 4500 4752 4800 4840 4950 5280 5400 5445 5500 5703 5760 5808 5940 6000 6050 6336 6400 6534 6600 6750 6912 7040 7200 7260 7425 7604 7744 7920 8000 8250 8448 8640 8712 8800 9000 9075 9504 9505 9600 9680 9900 10560 10800 10890 11000 11406 11520 11616 11880 12000 12100 12375 12672 13068 13200 13500 14080 14400 14520 14850 15125 15208 15488 15840 16000 16335 16500 17109 17280 17424 17600 18000 18150 19008 19010 19200 19360 19800 20911 21120 21600 21780 22000 22812 23232 23760 24000 24200 24750 25344 26136 26400 27000 27225 28515 28800 29040 29700 30250 30416 30976 31680 32000 32670 33000 34218 34560 34848 35200 36000 36300 37125 38016 38020 38720 39600 41822 42240 43200 43560 44000 45375 45624 46464 47520 47525 48000 48400 49500 51327 52272 52800 54000 54450 57030 57600 58080 59400 60500 60832 62733 63360 65340 66000 68436 69696 70400 72000 72600 74250 76032 76040 77440 79200 81675 83644 85545 86400 87120 88000 90750 91248 92928 95040 95050 96000 96800 99000 102654 104544 104555 105600 108000 108900 114060 116160 118800 121000 121664 125466 126720 130680 132000 136125 136872 139392 142575 144000 145200 148500 152080 154880 158400 163350 167288 171090 172800 174240 176000 181500 182496 188199 190080 190100 193600 198000 205308 209088 209110 211200 216000 217800 228120 230021 232320 237600 237625 242000 243328 250932 256635 261360 264000 272250 273744 278784 285150 288000 290400 297000 304160 313665 316800 326700 334576 342180 348480 352000 363000 364992 376398 380160 380200 387200 396000 408375 410616 418176 418220 427725 432000 435600 456240 460042 464640 475200 475250 484000 486656 501864 513270 522720 522775 528000 544500 547488 564597 570300 580800 594000 608320 627330 633600 653400 669152 684360 690063 696960 712875 726000 729984 752796 760400 774400 792000 816750 821232 836352 836440 855450 864000 871200 912480 920084 940995 950400 950500 968000 1003728 1026540 1045440 1045550 1056000 1089000 1094976 1129194 1140600 1150105 1161600 1188000 1216640 1254660 1283175 1306800 1338304 1368720 1380126 1393920 1425750 1452000 1459968 1505592 1520800 1568325 1584000 1633500 1642464 1672880 1710900 1742400 1824960 1840168 1881990 1900800 1901000 1936000 2007456 2053080 2070189 2090880 2091100 2138625 2178000 2189952 2258388 2281200 2300210 2323200 2376000 2433280 2509320 2566350 2613600 2613875 2676608 2737440 2760252 2822985 2851500 2904000 3011184 3041600 3136650 3168000 3267000 3284928 3345760 3421800 3450315 3484800 3649920 3680336 3763980 3802000 3872000 4014912 4106160 4140378 4181760 4182200 4277250 4356000 4379904 4516776 4562400 4600420 4704975 4752000 5018640 5132700 5227200 5227750 5353216 5474880 5520504 5645970 5703000 5750525 5808000 6022368 6083200 6210567 6273300 6415875 6534000 6569856 6691520 6843600 6900630 6969600 7299840 7360672 7527960 7604000 7841625 8029824 8212320 8280756 8364400 8554500 8712000 9033552 9124800 9200840 9409950 9504000 10037280 10265400 10350945 10454400 10455500 10949760 11041008 11291940 11406000 11501050 11616000 12044736 12166400 12421134 12546600 12831750 13068000 13139712 13383040 13687200 13801260 14114925 14721344 15055920 15208000 15683250 16059648 16424640 16561512 16728800 17109000 17251575 17424000 18067104 18249600 18401680 18819900 20074560 20530800 20701890 20908800 20911000 21899520 22082016 22583880 22812000 23002100 23524875 24089472 24842268 25093200 25663500 26136000 26766080 27374400 27602520 28229850 28752625 29442688 30111840 30416000 31052835 31366500 32849280 33123024 33457600 34218000 34503150 34848000 36134208 36499200 36803360 37639800 40149120 41061600 41403780 41822000 44164032 45167760 45624000 46004200 47049750 48178944 49684536 50186400 51327000 51754725 52272000 54748800 55205040 56459700 57505250 58885376 60223680 60832000 62105670 62733000 65698560 66246048 66915200 68436000 69006300 70574625 72268416 73606720 75279600 80298240 82123200 82807560 83644000 86257875 88328064 90335520 91248000 92008400 94099500 99369072 100372800 102654000 103509450 104544000 109497600 110410080 112919400 115010500 120447360 124211340 125466000 132492096 133830400 136872000 138012600 141149250 144536832 147213440 150559200 155264175 164246400 165615120 167288000 172515750 176656128 180671040 182496000 184016800 188199000 198738144 200745600 205308000 207018900 220820160 225838800 230021000 240894720 248422680 250932000 258773625 264984192 273744000 276025200 282298500 294426880 301118400 310528350 328492800 331230240 334576000 345031500 361342080 368033600 376398000 397476288 401491200 410616000 414037800 441640320 451677600 460042000 496845360 501864000 517547250 529968384 547488000 552050400 564597000 602236800 621056700 662460480 669152000 690063000 722684160 736067200 752796000 776320875 794952576 821232000 828075600 883280640 903355200 920084000 993690720 1003728000 1035094500 1104100800 1129194000 1204473600 1242113400 1324920960 1380126000 1472134400 1505592000 1552641750 1589905152 1642464000 1656151200 1806710400 1840168000 1987381440 2007456000 2070189000 2208201600 2258388000 2484226800 2649841920 2760252000 3011184000 3105283500 3312302400 3613420800 3680336000 3974762880 4140378000 4416403200 4516776000 4968453600 5520504000 6022368000 6210567000 6624604800 7360672000 7949525760 8280756000 9033552000 9936907200 11041008000 12421134000 13249209600 16561512000 18067104000 19873814400 22082016000 24842268000 33123024000 39747628800 49684536000 66246048000 99369072000 198738144000
• Sum of all divisors σ(n): 806617506240
• Sum of proper divisors (its aliquot sum) s(n): 607879362240
• 198738144000 is an abundant number, because the sum of its proper divisors (607879362240) is greater than itself. Its abundance is 409141218240

Bases of 198738144000

• Binary: 10111001000101101101110110101100000000₂
• Hexadecimal: 0x2E45B76B00
• Base-36: 2JARK5C0

Squares and roots of 198738144000

• 198738144000 squared (198738144000²) is 39496849880564736000000
• 198738144000 cubed (198738144000³) is 7849530639110057304489984000000000
• The square root of 198738144000 is 445800.5652755501
• The cube root of 198738144000 is 5835.7105550851

Scales and comparisons

• 198,738,144,000 seconds is equal to 6,319 years, 13 weeks, 3 days.
• To count from 1 to 198,738,144,000 would take you about twelve thousand, six hundred thirty-eight 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 198738144000 cubic inches would be around 486.3 feet tall.

Recreational maths with 198738144000

• 198738144000 backwards is 000441837891
• 198738144000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 198738144000's digits is 45
• More coming soon!