1530144000
1,530,144,000 is an even composite number composed of six prime numbers multiplied together.
1530144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 1530144000:
28 × 33 × 53 × 7 × 11 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 23)See below for interesting mathematical facts about the number 1530144000 from the Numbermatics database.
Names of 1530144000
- Cardinal: 1530144000 can be written as One billion, five hundred thirty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.530144 × 109
Factors of 1530144000
Divisors of 1530144000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 23 24 25 27 28 30 32 33 35 36 40 42 44 45 46 48 50 54 55 56 60 63 64 66 69 70 72 75 77 80 84 88 90 92 96 99 100 105 108 110 112 115 120 125 126 128 132 135 138 140 144 150 154 160 161 165 168 175 176 180 184 189 192 198 200 207 210 216 220 224 225 230 231 240 250 252 253 256 264 270 275 276 280 288 297 300 308 315 320 322 330 336 345 350 352 360 368 375 378 384 385 396 400 414 420 432 440 448 450 460 462 480 483 495 500 504 506 525 528 540 550 552 560 575 576 594 600 616 621 630 640 644 660 672 675 690 693 700 704 720 736 750 756 759 768 770 792 800 805 825 828 840 864 875 880 896 900 920 924 945 960 966 990 1000 1008 1012 1035 1050 1056 1080 1100 1104 1120 1125 1150 1152 1155 1188 1200 1232 1242 1260 1265 1280 1288 1320 1344 1350 1375 1380 1386 1400 1408 1440 1449 1472 1485 1500 1512 1518 1540 1575 1584 1600 1610 1650 1656 1680 1725 1728 1750 1760 1771 1792 1800 1840 1848 1890 1920 1925 1932 1980 2000 2016 2024 2070 2079 2100 2112 2160 2200 2208 2240 2250 2277 2300 2304 2310 2376 2400 2415 2464 2475 2484 2520 2530 2576 2625 2640 2688 2700 2750 2760 2772 2800 2816 2875 2880 2898 2944 2970 3000 3024 3036 3080 3105 3150 3168 3200 3220 3300 3312 3360 3375 3450 3456 3465 3500 3520 3542 3600 3680 3696 3780 3795 3840 3850 3864 3960 4000 4025 4032 4048 4125 4140 4158 4200 4224 4320 4347 4400 4416 4480 4500 4554 4600 4620 4725 4752 4800 4830 4928 4950 4968 5040 5060 5152 5175 5250 5280 5313 5376 5400 5500 5520 5544 5600 5750 5760 5775 5796 5888 5940 6000 6048 6072 6160 6210 6300 6325 6336 6400 6440 6600 6624 6720 6750 6831 6900 6912 6930 7000 7040 7084 7200 7245 7360 7392 7425 7560 7590 7700 7728 7875 7920 8000 8050 8064 8096 8250 8280 8316 8400 8448 8625 8640 8694 8800 8832 8855 8960 9000 9108 9200 9240 9450 9504 9600 9625 9660 9856 9900 9936 10080 10120 10304 10350 10395 10500 10560 10626 10800 11000 11040 11088 11200 11385 11500 11520 11550 11592 11880 12000 12075 12096 12144 12320 12375 12420 12600 12650 12672 12880 13200 13248 13440 13500 13662 13800 13860 14000 14080 14168 14400 14490 14720 14784 14850 15120 15180 15400 15456 15525 15750 15840 15939 16000 16100 16128 16192 16500 16560 16632 16800 17250 17280 17325 17388 17600 17664 17710 18000 18216 18400 18480 18900 18975 19008 19200 19250 19320 19712 19800 19872 20125 20160 20240 20608 20700 20790 21000 21120 21252 21600 21735 22000 22080 22176 22400 22770 23000 23100 23184 23625 23760 24000 24150 24192 24288 24640 24750 24840 25200 25300 25344 25760 25875 26400 26496 26565 26880 27000 27324 27600 27720 28000 28336 28800 28875 28980 29440 29568 29700 30240 30360 30800 30912 31050 31500 31625 31680 31878 32000 32200 32384 33000 33120 33264 33600 34155 34500 34560 34650 34776 35200 35420 36000 36225 36432 36800 36960 37125 37800 37950 38016 38500 38640 39600 39744 40250 40320 40480 41216 41400 41580 42000 42240 42504 43200 43470 44000 44160 44275 44352 44800 45540 46000 46200 46368 47250 47520 47817 48000 48300 48384 48576 49280 49500 49680 50400 50600 51520 51750 51975 52800 52992 53130 54000 54648 55200 55440 56000 56672 56925 57600 57750 57960 59136 59400 60375 60480 60720 61600 61824 62100 63000 63250 63360 63756 64400 64768 66000 66240 66528 67200 68310 69000 69300 69552 70400 70840 72000 72450 72864 73600 73920 74250 75600 75900 76032 77000 77280 77625 79200 79488 79695 80500 80640 80960 82800 83160 84000 85008 86400 86625 86940 88000 88320 88550 88704 91080 92000 92400 92736 94500 94875 95040 95634 96000 96600 97152 98560 99000 99360 100800 101200 103040 103500 103950 105600 106260 108000 108675 109296 110400 110880 112000 113344 113850 115500 115920 118800 120750 120960 121440 123200 123648 124200 126000 126500 126720 127512 128800 132000 132480 132825 133056 134400 136620 138000 138600 139104 141680 144000 144900 145728 147200 147840 148500 151200 151800 154000 154560 155250 158400 158976 159390 161000 161920 165600 166320 168000 170016 170775 172800 173250 173880 176000 177100 177408 181125 182160 184000 184800 185472 189000 189750 190080 191268 193200 194304 198000 198720 201600 202400 206080 207000 207900 211200 212520 216000 217350 218592 220800 221375 221760 224000 226688 227700 231000 231840 237600 239085 241500 241920 242880 246400 248400 252000 253000 255024 257600 259875 264000 264960 265650 266112 273240 276000 277200 278208 283360 284625 288000 289800 291456 295680 297000 302400 303600 308000 309120 310500 316800 318780 322000 323840 331200 332640 336000 340032 341550 346500 347760 352000 354200 362250 364320 368000 369600 370944 378000 379500 380160 382536 386400 396000 397440 398475 403200 404800 414000 415800 425040 432000 434700 437184 441600 442750 443520 453376 455400 462000 463680 475200 478170 483000 485760 492800 496800 504000 506000 510048 515200 519750 528000 531300 532224 543375 546480 552000 554400 556416 566720 569250 579600 582912 594000 604800 607200 616000 618240 621000 633600 637560 644000 662400 664125 665280 672000 680064 683100 693000 695520 708400 724500 728640 736000 739200 756000 759000 765072 772800 792000 794880 796950 809600 828000 831600 850080 853875 864000 869400 874368 885500 887040 910800 924000 927360 950400 956340 966000 971520 993600 1008000 1012000 1020096 1030400 1039500 1056000 1062600 1086750 1092960 1104000 1108800 1112832 1133440 1138500 1159200 1188000 1195425 1209600 1214400 1232000 1242000 1275120 1288000 1324800 1328250 1330560 1360128 1366200 1386000 1391040 1416800 1449000 1457280 1478400 1512000 1518000 1530144 1545600 1584000 1593900 1619200 1656000 1663200 1700160 1707750 1738800 1748736 1771000 1821600 1848000 1854720 1900800 1912680 1932000 1987200 1992375 2016000 2024000 2040192 2079000 2125200 2173500 2185920 2208000 2217600 2266880 2277000 2318400 2376000 2390850 2428800 2464000 2484000 2550240 2576000 2656500 2661120 2732400 2772000 2782080 2833600 2898000 2914560 3024000 3036000 3060288 3091200 3168000 3187800 3312000 3326400 3400320 3415500 3477600 3542000 3643200 3696000 3825360 3864000 3974400 3984750 4048000 4080384 4158000 4250400 4347000 4371840 4435200 4554000 4636800 4752000 4781700 4857600 4968000 5100480 5152000 5313000 5464800 5544000 5564160 5667200 5796000 5977125 6048000 6072000 6120576 6375600 6624000 6652800 6800640 6831000 6955200 7084000 7286400 7392000 7650720 7728000 7969500 8096000 8316000 8500800 8694000 8743680 9108000 9273600 9504000 9563400 9936000 10200960 10626000 10929600 11088000 11334400 11592000 11954250 12144000 12241152 12751200 13305600 13662000 13910400 14168000 14572800 15301440 15456000 15939000 16632000 17001600 17388000 18216000 19126800 19872000 20401920 21252000 21859200 22176000 23184000 23908500 24288000 25502400 27324000 27820800 28336000 30602880 31878000 33264000 34003200 34776000 36432000 38253600 42504000 43718400 46368000 47817000 51004800 54648000 56672000 61205760 63756000 66528000 69552000 72864000 76507200 85008000 95634000 102009600 109296000 127512000 139104000 153014400 170016000 191268000 218592000 255024000 306028800 382536000 510048000 765072000 1530144000
- Sum of all divisors σ(n): 7346626560
- Sum of proper divisors (its aliquot sum) s(n): 5816482560
- 1530144000 is an abundant number, because the sum of its proper divisors (5816482560) is greater than itself. Its abundance is 4286338560
Bases of 1530144000
- Binary: 10110110011010000100101000000002
- Hexadecimal: 0x5B342500
- Base-36: PB0AO0
Squares and roots of 1530144000
- 1530144000 squared (15301440002) is 2341340660736000000
- 1530144000 cubed (15301440003) is 3582588363981225984000000000
-
The
square root of 1530144000 is 39117.0551038801 -
The
cube root of 1530144000 is 1152.3315018195
Scales and comparisons
How big is 1530144000?- 1,530,144,000 seconds is equal to 48 years, 34 weeks.
-
To count from 1 to 1,530,144,000 would take you about ninety-seven 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 1530144000 cubic inches would be around 96 feet tall.
Recreational maths with 1530144000
- 1530144000 backwards is 0004410351
- 1530144000 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 1530144000's digits is 18
- 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 1530144000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 1530144000 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/1530144000/
Chicago style:
Numbermatics. 2024. "Number 1530144000 - Facts about the integer". https://numbermatics.com/n/1530144000/
The information we have on file for 1530144000 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 1530144000, math, Factors of 1530144000, curriculum, school, college, exams, university, Prime factorization of 1530144000, STEM, science, technology, engineering, physics, economics, calculator, one billion, five hundred thirty million, one hundred forty-four thousand.