142147904184000
142,147,904,184,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 142147904184000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3584 divisors.
142147904184000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 142147904184000:
26 × 33 × 53 × 11 × 13 × 31 × 53 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 31 × 53 × 2801)See below for interesting mathematical facts about the number 142147904184000 from the Numbermatics database.
Names of 142147904184000
- Cardinal: 142147904184000 can be written as One hundred forty-two trillion, one hundred forty-seven billion, nine hundred four million, one hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.42147904184 × 1014
Factors of 142147904184000
Divisors of 142147904184000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 31 32 33 36 39 40 44 45 48 50 52 53 54 55 60 62 64 65 66 72 75 78 80 88 90 93 96 99 100 104 106 108 110 117 120 124 125 130 132 135 143 144 150 155 156 159 160 165 176 180 186 192 195 198 200 208 212 216 220 225 234 240 248 250 260 264 265 270 275 279 286 288 297 300 310 312 318 320 325 330 341 351 352 360 372 375 390 396 400 403 416 424 429 432 440 450 465 468 477 480 495 496 500 520 528 530 540 550 558 572 576 583 585 594 600 620 624 636 650 660 675 682 689 702 704 715 720 744 750 775 780 792 795 800 806 825 832 837 848 858 864 880 900 930 936 954 960 975 990 992 1000 1023 1040 1056 1060 1080 1100 1116 1125 1144 1166 1170 1188 1200 1209 1240 1248 1272 1287 1300 1320 1325 1350 1364 1375 1378 1395 1404 1430 1431 1440 1485 1488 1500 1550 1560 1584 1590 1600 1612 1625 1643 1650 1674 1696 1705 1716 1728 1749 1755 1760 1800 1860 1872 1908 1950 1980 1984 2000 2015 2046 2067 2080 2112 2120 2145 2160 2200 2232 2250 2288 2325 2332 2340 2376 2385 2400 2418 2475 2480 2496 2544 2574 2600 2640 2650 2700 2728 2750 2756 2790 2801 2808 2860 2862 2880 2915 2925 2970 2976 3000 3069 3100 3120 3168 3180 3224 3250 3286 3300 3348 3375 3392 3410 3432 3445 3498 3510 3520 3575 3600 3627 3720 3744 3816 3861 3875 3900 3960 3975 4000 4030 4092 4125 4134 4160 4185 4240 4290 4320 4400 4433 4464 4500 4576 4650 4664 4680 4752 4770 4800 4836 4875 4929 4950 4960 5088 5115 5148 5200 5247 5280 5300 5400 5456 5500 5512 5580 5602 5616 5720 5724 5830 5850 5940 5952 6000 6045 6138 6200 6201 6240 6336 6360 6435 6448 6500 6572 6600 6625 6696 6750 6820 6864 6890 6975 6996 7020 7150 7155 7200 7254 7425 7440 7488 7579 7632 7722 7750 7800 7920 7950 8000 8060 8184 8215 8250 8268 8370 8403 8480 8525 8580 8640 8745 8775 8800 8866 8928 9000 9152 9207 9300 9328 9360 9504 9540 9672 9750 9858 9900 9920 10075 10176 10230 10296 10335 10400 10494 10560 10600 10725 10800 10881 10912 11000 11024 11160 11204 11232 11440 11448 11625 11660 11700 11880 11925 12000 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91120451400 91708325280 94765269456 95529505500 95722494400 98713822350 99334664000 99404128800 101244946000 101898139200 103155228000 103380293952 104214006000 105294743840 107281437120 107687806200 109344541680 110449032000 111751497000 113900564250 114635406600 117574776000 118456586820 119653118000 121493935200 121910724000 124255161000 126353692608 127372674000 129225367440 131618429800 134101796400 134609757750 136680677100 138952008000 142147904184 143294258250 143583741600 145792722240 148070733525 149001996000 151867419000 152847208800 157942115760 161531709300 164523037250 165673548000 167627245500 169830232000 170850846375 172300489920 176362164000 177684880230 178802395200 179479677000 182240902800 183416650560 189530538912 191059011000 197427644700 198808257600 201914636625 202489892000 206310456000 208428012000 210589487680 215375612400 218689083360 223502994000 227801128500 229270813200 236913173640 239306236000 242987870400 243821448000 246784555875 248510322000 254745348000 258450734880 263236859600 268203592800 269219515500 273361354200 284295808368 286588516500 287167483200 296141467050 298003992000 303734838000 305694417600 315884231520 323063418600 329046074500 331347096000 335254491000 341701692750 352724328000 355369760460 358959354000 364481805600 379061077824 382118022000 394855289400 403829273250 404979784000 416856024000 430751224800 437378166720 444212200575 447005988000 455602257000 458541626400 473826347280 478612472000 493569111750 497020644000 509490696000 516901469760 526473719200 536407185600 538439031000 546722708400 568591616736 573177033000 592282934100 607469676000 631768463040 646126837200 658092149000 670508982000 683403385500 710739520920 717918708000 728963611200 740353667625 764236044000 789710578800 807658546500 861502449600 888424401150 894011976000 911204514000 917083252800 947652694560 987138223500 994041288000 1052947438400 1076878062000 1093445416800 1137183233472 1146354066000 1184565868200 1214939352000 1292253674400 1316184298000 1341017964000 1366806771000 1421479041840 1435837416000 1480707335250 1528472088000 1579421157600 1615317093000 1776848802300 1822409028000 1895305389120 1974276447000 2153756124000 2186890833600 2221061002875 2292708132000 2369131736400 2584507348800 2632368596000 2682035928000 2733613542000 2842958083680 2961414670500 3158842315200 3230634186000 3553697604600 3644818056000 3948552894000 4307512248000 4442122005750 4585416264000 4738263472800 5264737192000 5467227084000 5685916167360 5922829341000 6461268372000 7107395209200 7897105788000 8884244011500 9476526945600 10934454168000 11845658682000 12922536744000 14214790418400 15794211576000 17768488023000 23691317364000 28429580836800 35536976046000 47382634728000 71073952092000 142147904184000
- Sum of all divisors σ(n): 644628439203840
- Sum of proper divisors (its aliquot sum) s(n): 502480535019840
- 142147904184000 is an abundant number, because the sum of its proper divisors (502480535019840) is greater than itself. Its abundance is 360332630835840
Bases of 142147904184000
- Binary: 1000000101001000011000110101010110011110110000002
- Hexadecimal: 0x814863559EC0
- Base-36: 1EDXUG01C0
Squares and roots of 142147904184000
- 142147904184000 squared (1421479041840002) is 20206026663903644705856000000
- 142147904184000 cubed (1421479041840003) is 2872244342159924459056397551701504000000000
-
The
square root of 142147904184000 is 11922579.5943663131 -
The
cube root of 142147904184000 is 52189.1415913535
Scales and comparisons
How big is 142147904184000?- 142,147,904,184,000 seconds is equal to 4,519,863 years, 34 weeks, 2 days, 12 hours.
-
To count from 1 to 142,147,904,184,000 would take you about eleven million, two hundred ninety-nine thousand, six hundred fifty-nine 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 142147904184000 cubic inches would be around 4349.1 feet tall.
Recreational maths with 142147904184000
- 142147904184000 backwards is 000481409741241
- 142147904184000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 142147904184000's digits is 45
- More coming soon!
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MLA style:
"Number 142147904184000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 142147904184000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/142147904184000/
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Numbermatics. 2024. "Number 142147904184000 - Facts about the integer". https://numbermatics.com/n/142147904184000/
The information we have on file for 142147904184000 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 142147904184000, math, Factors of 142147904184000, curriculum, school, college, exams, university, Prime factorization of 142147904184000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-two trillion, one hundred forty-seven billion, nine hundred four million, one hundred eighty-four thousand.