12984510000
12,984,510,000 is an even composite number composed of six prime numbers multiplied together.
12984510000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 12984510000:
24 × 3 × 54 × 72 × 112 × 73
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 73)See below for interesting mathematical facts about the number 12984510000 from the Numbermatics database.
Names of 12984510000
- Cardinal: 12984510000 can be written as Twelve billion, nine hundred eighty-four million, five hundred ten thousand.
Scientific notation
- Scientific notation: 1.298451 × 1010
Factors of 12984510000
Divisors of 12984510000
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 33 35 40 42 44 48 49 50 55 56 60 66 70 73 75 77 80 84 88 98 100 105 110 112 120 121 125 132 140 146 147 150 154 165 168 175 176 196 200 210 219 220 231 240 242 245 250 264 275 280 292 294 300 308 330 336 350 363 365 375 385 392 400 420 438 440 462 484 490 500 511 525 528 539 550 560 584 588 600 605 616 625 660 700 726 730 735 750 770 784 803 825 840 847 875 876 880 924 968 980 1000 1022 1050 1078 1095 1100 1155 1168 1176 1200 1210 1225 1232 1250 1320 1375 1400 1452 1460 1470 1500 1533 1540 1606 1617 1650 1680 1694 1750 1752 1815 1825 1848 1875 1925 1936 1960 2000 2044 2100 2156 2190 2200 2310 2352 2409 2420 2450 2500 2541 2555 2625 2640 2695 2750 2800 2904 2920 2940 3000 3025 3066 3080 3212 3234 3300 3388 3500 3504 3577 3630 3650 3675 3696 3750 3850 3920 4015 4088 4125 4200 4235 4312 4375 4380 4400 4620 4818 4840 4900 5000 5082 5110 5250 5390 5475 5500 5621 5775 5808 5840 5880 5929 6000 6050 6125 6132 6160 6424 6468 6600 6776 6875 7000 7154 7260 7300 7350 7500 7665 7700 8030 8085 8176 8250 8400 8470 8624 8750 8760 8833 9075 9125 9240 9625 9636 9680 9800 10000 10164 10220 10500 10731 10780 10950 11000 11242 11550 11760 11858 12045 12100 12250 12264 12705 12775 12848 12936 13125 13200 13475 13552 13750 14000 14308 14520 14600 14700 15000 15125 15330 15400 16060 16170 16500 16863 16940 17500 17520 17666 17787 17885 18150 18250 18375 18480 19250 19272 19600 20075 20328 20440 20625 21000 21175 21462 21560 21900 22000 22484 23100 23716 24090 24200 24500 24528 25410 25550 25872 26250 26499 26950 27375 27500 28105 28616 28875 29040 29200 29400 29645 30000 30250 30625 30660 30800 32120 32340 33000 33726 33880 35000 35332 35574 35770 36300 36500 36750 38325 38500 38544 39347 40150 40425 40656 40880 41250 42000 42350 42924 43120 43800 44165 44968 45375 45625 46200 47432 48125 48180 48400 49000 50820 51100 52500 52998 53655 53900 54750 55000 56210 57232 57750 58800 59290 60225 60500 61250 61320 61831 63525 63875 64240 64680 66000 67375 67452 67760 70000 70664 71148 71540 72600 73000 73500 75625 76650 77000 78694 80300 80850 82500 84315 84700 85848 87600 88330 88935 89425 89936 90750 91250 91875 92400 94864 96250 96360 98000 100375 101640 102200 105000 105875 105996 107310 107800 109500 110000 112420 115500 118041 118580 120450 121000 122500 122640 123662 127050 127750 129360 132495 134750 134904 136875 140525 141328 142296 143080 144375 145200 146000 147000 148225 151250 153300 154000 157388 160600 161700 165000 168630 169400 171696 176660 177870 178850 181500 182500 183750 185493 191625 192500 192720 196735 200750 202125 203280 204400 210000 211750 211992 214620 215600 219000 220825 224840 226875 231000 236082 237160 240900 242000 245000 247324 254100 255500 264990 268275 269500 269808 273750 281050 284592 286160 288750 294000 296450 301125 302500 306600 309155 314776 317625 319375 321200 323400 330000 336875 337260 338800 353320 355740 357700 363000 365000 367500 370986 383250 385000 393470 401500 404250 421575 423500 423984 429240 432817 438000 441650 444675 447125 449680 453750 462000 472164 474320 481800 490000 494648 501875 508200 511000 529375 529980 536550 539000 547500 562100 577500 590205 592900 602250 605000 613200 618310 629552 635250 638750 646800 662475 673750 674520 702625 706640 711480 715400 726000 730000 735000 741125 741972 766500 770000 786940 803000 808500 843150 847000 858480 865634 883300 889350 894250 907500 927465 944328 958125 963600 983675 989296 1003750 1010625 1016400 1022000 1058750 1059960 1073100 1078000 1095000 1104125 1124200 1155000 1180410 1185800 1204500 1210000 1236620 1270500 1277500 1298451 1324950 1341375 1347500 1349040 1405250 1422960 1430800 1470000 1482250 1483944 1505625 1533000 1545775 1573880 1588125 1606000 1617000 1686300 1694000 1731268 1766600 1778700 1788500 1815000 1854930 1888656 1916250 1967350 2007500 2021250 2107875 2117500 2119920 2146200 2164085 2190000 2208250 2223375 2235625 2248400 2310000 2360820 2371600 2409000 2473240 2541000 2555000 2596902 2649900 2682750 2695000 2810500 2951025 2964500 2967888 3011250 3066000 3091550 3147760 3176250 3234000 3312375 3372600 3462536 3513125 3533200 3557400 3577000 3630000 3705625 3709860 3832500 3934700 4015000 4042500 4215750 4235000 4292400 4328170 4416500 4446750 4471250 4637325 4721640 4818000 4918375 4946480 5082000 5110000 5193804 5299800 5365500 5390000 5520625 5621000 5902050 5929000 6022500 6183100 6352500 6492255 6624750 6706875 6745200 6925072 7026250 7114800 7154000 7411250 7419720 7665000 7728875 7869400 8030000 8085000 8431500 8470000 8656340 8833000 8893500 8942500 9274650 9443280 9836750 10387608 10539375 10599600 10731000 10820425 11041250 11116875 11242000 11804100 11858000 12045000 12366200 12705000 12984510 13249500 13413750 14052500 14755125 14822500 14839440 15330000 15457750 15738800 16170000 16561875 16863000 17312680 17666000 17787000 17885000 18549300 19673500 20775216 21078750 21462000 21640850 22082500 22233750 23186625 23608200 24090000 24591875 24732400 25410000 25969020 26499000 26827500 28105000 29510250 29645000 30915500 32461275 33123750 33726000 34625360 35574000 35770000 37098600 38644375 39347000 42157500 43281700 44165000 44467500 46373250 47216400 49183750 51938040 52998000 53655000 54102125 56210000 59020500 59290000 61831000 64922550 66247500 73775625 74197200 77288750 78694000 84315000 86563400 88330000 88935000 92746500 98367500 103876080 107310000 108204250 115933125 118041000 123662000 129845100 132495000 147551250 154577500 162306375 168630000 173126800 177870000 185493000 196735000 216408500 231866250 236082000 259690200 264990000 270510625 295102500 309155000 324612750 370986000 393470000 432817000 463732500 519380400 541021250 590205000 618310000 649225500 811531875 865634000 927465000 1082042500 1180410000 1298451000 1623063750 1854930000 2164085000 2596902000 3246127500 4328170000 6492255000 12984510000
- Sum of all divisors σ(n): 54328902936
- Sum of proper divisors (its aliquot sum) s(n): 41344392936
- 12984510000 is an abundant number, because the sum of its proper divisors (41344392936) is greater than itself. Its abundance is 28359882936
Bases of 12984510000
- Binary: 11000001011110111111100110001100002
- Hexadecimal: 0x305EFE630
- Base-36: 5YQN41C
Squares and roots of 12984510000
- 12984510000 squared (129845100002) is 168597499940100000000
- 12984510000 cubed (129845100003) is 2189155923947227851000000000000
-
The
square root of 12984510000 is 113949.5941195053 -
The
cube root of 12984510000 is 2350.4004146429
Scales and comparisons
How big is 12984510000?- 12,984,510,000 seconds is equal to 412 years, 45 weeks, 16 hours, 20 minutes.
-
To count from 1 to 12,984,510,000 would take you about eight hundred twenty-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 12984510000 cubic inches would be around 195.9 feet tall.
Recreational maths with 12984510000
- 12984510000 backwards is 00001548921
- 12984510000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12984510000's digits is 30
- More coming soon!
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