12468144000
12,468,144,000 is an even composite number composed of six prime numbers multiplied together.
12468144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12468144000:
27 × 3 × 53 × 132 × 29 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 29 × 53)See below for interesting mathematical facts about the number 12468144000 from the Numbermatics database.
Names of 12468144000
- Cardinal: 12468144000 can be written as Twelve billion, four hundred sixty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.2468144 × 1010
Factors of 12468144000
Divisors of 12468144000
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 32 39 40 48 50 52 53 58 60 64 65 75 78 80 87 96 100 104 106 116 120 125 128 130 145 150 156 159 160 169 174 192 195 200 208 212 232 240 250 260 265 290 300 312 318 320 325 338 348 375 377 384 390 400 416 424 435 464 480 500 507 520 530 580 600 624 636 640 650 676 689 696 725 750 754 780 795 800 832 845 848 870 928 960 975 1000 1014 1040 1060 1131 1160 1200 1248 1272 1300 1325 1352 1378 1392 1450 1500 1508 1537 1560 1590 1600 1625 1664 1690 1696 1740 1856 1885 1920 1950 2000 2028 2067 2080 2120 2175 2262 2320 2400 2496 2535 2544 2600 2650 2704 2756 2784 2900 3000 3016 3074 3120 3180 3200 3250 3380 3392 3445 3480 3625 3712 3770 3900 3975 4000 4056 4134 4160 4225 4240 4350 4524 4611 4640 4800 4875 4901 4992 5070 5088 5200 5300 5408 5512 5568 5655 5800 6000 6032 6148 6240 6360 6500 6625 6760 6784 6890 6960 7250 7540 7685 7800 7950 8000 8112 8268 8320 8450 8480 8700 8957 9048 9222 9280 9425 9600 9750 9802 10140 10176 10335 10400 10600 10816 10875 11024 11136 11310 11600 12000 12064 12296 12480 12675 12720 13000 13250 13520 13780 13920 14500 14703 15080 15370 15600 15900 16000 16224 16536 16900 16960 17225 17400 17914 18096 18444 18560 18850 19500 19604 19875 19981 20280 20352 20670 20800 21125 21200 21632 21750 22048 22620 23055 23200 24000 24128 24505 24592 24960 25350 25440 26000 26500 26871 27040 27560 27840 28275 29000 29406 30160 30740 31200 31800 32448 33072 33800 33920 34450 34800 35828 36192 36888 37700 38425 39000 39208 39750 39962 40560 41340 41600 42250 42400 43500 44096 44785 45240 46110 46400 47125 48000 48256 49010 49184 50700 50880 51675 52000 53000 53742 54080 55120 55680 56550 58000 58812 59943 60320 61480 62400 63375 63600 64896 66144 67600 68900 69600 71656 72384 73515 73776 75400 76850 78000 78416 79500 79924 81120 82680 84500 84800 86125 87000 88192 89570 90480 92220 92800 94250 98020 98368 99905 101400 101760 103350 104000 106000 107484 108160 110240 113100 115275 116000 117624 119886 120640 122525 122960 124800 126750 127200 132288 134355 135200 137800 139200 141375 143312 144768 147030 147552 150800 153700 156000 156832 159000 159848 162240 165360 169000 169600 172250 174000 179140 180960 184440 188500 192125 196040 196736 199810 202800 206700 208000 212000 214968 220480 223925 226200 230550 232000 235248 239772 241280 245050 245920 253500 254400 258375 259753 264576 268710 270400 275600 278400 282750 286624 294060 295104 299715 301600 307400 312000 313664 318000 319696 324480 330720 338000 344500 348000 358280 361920 367575 368880 377000 384250 392080 399620 405600 413400 424000 429936 440960 447850 452400 461100 464000 470496 479544 490100 491840 499525 507000 508800 516750 519506 537420 540800 551200 565500 573248 576375 588120 590208 599430 603200 612625 614800 624000 627328 636000 639392 661440 671775 676000 689000 696000 716560 723840 735150 737760 754000 768500 779259 784160 799240 811200 826800 848000 859872 895700 904800 922200 940992 959088 980200 983680 999050 1014000 1033500 1039012 1074840 1102400 1119625 1131000 1146496 1152750 1176240 1198860 1206400 1225250 1229600 1272000 1278784 1298765 1322880 1343550 1352000 1378000 1392000 1433120 1470300 1475520 1498575 1508000 1537000 1558518 1568320 1598480 1622400 1653600 1719744 1791400 1809600 1837875 1844400 1881984 1918176 1960400 1998100 2028000 2067000 2078024 2149680 2204800 2239250 2262000 2305500 2352480 2397720 2450500 2459200 2497625 2544000 2557568 2597530 2687100 2704000 2756000 2866240 2940600 2951040 2997150 3016000 3074000 3117036 3136640 3196960 3307200 3358875 3439488 3582800 3619200 3675750 3688800 3836352 3896295 3920800 3996200 4056000 4134000 4156048 4299360 4478500 4524000 4611000 4704960 4795440 4901000 4918400 4995250 5195060 5374200 5512000 5732480 5881200 5994300 6032000 6148000 6234072 6393920 6493825 6614400 6717750 7165600 7351500 7377600 7492875 7672704 7792590 7841600 7992400 8112000 8268000 8312096 8598720 8957000 9048000 9222000 9409920 9590880 9802000 9990500 10390120 10748400 11024000 11762400 11988600 12296000 12468144 12787840 12987650 13435500 14331200 14703000 14755200 14985750 15585180 15683200 15984800 16536000 16624192 17197440 17914000 18096000 18444000 19181760 19481475 19604000 19981000 20780240 21496800 23524800 23977200 24592000 24936288 25975300 26871000 28662400 29406000 29971500 31170360 31969600 32469125 33072000 33248384 35828000 36888000 38363520 38962950 39208000 39962000 41560480 42993600 47049600 47954400 49872576 51950600 53742000 58812000 59943000 62340720 63939200 64938250 71656000 73776000 77925900 78416000 79924000 83120960 85987200 95908800 97407375 99745152 103901200 107484000 117624000 119886000 124681440 129876500 143312000 155851800 159848000 166241920 191817600 194814750 207802400 214968000 235248000 239772000 249362880 259753000 311703600 319696000 389629500 415604800 429936000 479544000 498725760 519506000 623407200 779259000 831209600 959088000 1039012000 1246814400 1558518000 2078024000 2493628800 3117036000 4156048000 6234072000 12468144000
- Sum of all divisors σ(n): 47172715200
- Sum of proper divisors (its aliquot sum) s(n): 34704571200
- 12468144000 is an abundant number, because the sum of its proper divisors (34704571200) is greater than itself. Its abundance is 22236427200
Bases of 12468144000
- Binary: 10111001110010100011000111100000002
- Hexadecimal: 0x2E728C780
- Base-36: 5Q77LHC
Squares and roots of 12468144000
- 12468144000 squared (124681440002) is 155454614804736000000
- 12468144000 cubed (124681440003) is 1938230522849980329984000000000
-
The
square root of 12468144000 is 111660.8436292687 -
The
cube root of 12468144000 is 2318.8212402703
Scales and comparisons
How big is 12468144000?- 12,468,144,000 seconds is equal to 396 years, 23 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 12,468,144,000 would take you about seven hundred ninety-two 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 12468144000 cubic inches would be around 193.2 feet tall.
Recreational maths with 12468144000
- 12468144000 backwards is 00044186421
- 12468144000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12468144000's digits is 30
- More coming soon!
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The information we have on file for 12468144000 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!
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