142202146968000
142,202,146,968,000 is an even composite number composed of seven prime numbers multiplied together.
142202146968000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 142202146968000:
26 × 33 × 53 × 72 × 41 × 672 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 41 × 67 × 67 × 73)See below for interesting mathematical facts about the number 142202146968000 from the Numbermatics database.
Names of 142202146968000
- Cardinal: 142202146968000 can be written as One hundred forty-two trillion, two hundred two billion, one hundred forty-six million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.42202146968 × 1014
Factors of 142202146968000
Divisors of 142202146968000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 41 42 45 48 49 50 54 56 60 63 64 67 70 72 73 75 80 82 84 90 96 98 100 105 108 112 120 123 125 126 134 135 140 144 146 147 150 160 164 168 175 180 189 192 196 200 201 205 210 216 219 224 225 240 245 246 250 252 268 270 280 287 288 292 294 300 315 320 328 335 336 350 360 365 369 375 378 392 400 402 410 420 432 438 441 448 450 469 480 490 492 500 504 511 525 536 540 560 574 576 584 588 600 603 615 630 656 657 670 672 675 700 720 730 735 738 750 756 784 800 804 820 840 861 864 875 876 882 900 938 945 960 980 984 1000 1005 1008 1022 1025 1050 1072 1080 1095 1107 1120 1125 1148 1168 1176 1200 1206 1225 1230 1260 1312 1314 1323 1340 1344 1350 1400 1407 1435 1440 1460 1470 1476 1500 1512 1533 1568 1575 1600 1608 1640 1675 1680 1722 1728 1750 1752 1764 1800 1809 1825 1845 1876 1890 1960 1968 1971 2000 2009 2010 2016 2044 2050 2100 2144 2160 2190 2205 2214 2240 2250 2296 2336 2345 2352 2400 2412 2450 2460 2520 2555 2583 2624 2625 2628 2646 2680 2700 2747 2800 2814 2870 2880 2920 2940 2952 2993 3000 3015 3024 3066 3075 3136 3150 3216 3280 3283 3285 3350 3360 3375 3444 3500 3504 3528 3577 3600 3618 3650 3675 3690 3752 3780 3920 3936 3942 4000 4018 4020 4032 4088 4100 4200 4221 4288 4305 4320 4380 4410 4428 4489 4500 4592 4599 4672 4690 4704 4725 4800 4824 4891 4900 4920 5025 5040 5110 5125 5166 5250 5256 5292 5360 5400 5475 5494 5535 5600 5628 5740 5840 5880 5904 5986 6000 6027 6030 6048 6125 6132 6150 6300 6432 6560 6566 6570 6615 6700 6720 6750 6888 7000 7008 7035 7056 7154 7175 7200 7236 7300 7350 7380 7504 7560 7665 7749 7840 7872 7875 7884 8000 8036 8040 8176 8200 8241 8375 8400 8442 8610 8640 8760 8820 8856 8978 8979 9000 9045 9125 9184 9198 9225 9380 9408 9450 9648 9782 9800 9840 9849 9855 10045 10050 10080 10220 10250 10332 10500 10512 10584 10720 10731 10800 10950 10988 11025 11070 11200 11256 11480 11680 11725 11760 11808 11972 12000 12054 12060 12096 12250 12264 12300 12600 12663 12775 12864 12915 13120 13132 13140 13230 13400 13467 13500 13735 13776 13797 14000 14016 14070 14112 14308 14350 14400 14472 14600 14673 14700 14760 14965 15008 15075 15120 15330 15375 15498 15680 15750 15768 16072 16080 16352 16400 16415 16425 16482 16750 16800 16884 17220 17520 17640 17712 17885 17956 17958 18000 18081 18090 18250 18368 18375 18396 18450 18760 18900 19229 19296 19564 19600 19680 19698 19710 20090 20100 20160 20440 20500 20664 20951 21000 21024 21105 21168 21440 21462 21525 21600 21900 21976 22050 22140 22445 22512 22960 22995 23360 23450 23520 23616 23625 23944 24000 24108 24120 24455 24500 24528 24600 24723 25125 25200 25326 25550 25830 26264 26280 26460 26800 26934 26937 27000 27375 27470 27552 27594 27675 28000 28140 28224 28616 28700 28944 29200 29346 29400 29520 29547 29930 30016 30135 30150 30240 30660 30750 30996 31423 31500 31536 32144 32160 32193 32704 32800 32830 32850 32964 33075 33500 33600 33768 34237 34440 35040 35175 35280 35424 35770 35875 35912 35916 36000 36162 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282147117000 284404293936 289028754000 290208463200 296254472850 303202872000 316004771040 317415506625 322453848000 324662436000 329171636500 338576540400 346834504800 353736684000 355505367420 362760579000 376196156000 379205725248 385371672000 389594923200 395005963800 406291848480 423220675500 424484020800 433543131000 444381709275 451435387200 474007156560 483680772000 486993654000 493757454750 495477864000 507864810600 526674618400 530605026000 564294234000 568808587872 578057508000 580416926400 592508945700 632009542080 634831013250 649324872000 658343273000 677153080800 693669009600 707473368000 711010734840 725521158000 740636182125 752392312000 790011927600 812583696960 846441351000 867086262000 888763418550 948014313120 967361544000 973987308000 987514909500 1015729621200 1053349236800 1061210052000 1128588468000 1137617175744 1156115016000 1185017891400 1269662026500 1316686546000 1354306161600 1422021469680 1451042316000 1481272364250 1580023855200 1692882702000 1734172524000 1777526837100 1896028626240 1947974616000 1975029819000 2031459242400 2122420104000 2221908546375 2257176936000 2370035782800 2539324053000 2633373092000 2844042939360 2902084632000 2962544728500 3160047710400 3385765404000 3468345048000 3555053674200 3950059638000 4062918484800 4443817092750 4740071565600 5078648106000 5266746184000 5688085878720 5925089457000 6771530808000 7110107348400 7900119276000 8887634185500 9480143131200 10157296212000 11850178914000 14220214696800 15800238552000 17775268371000 20314592424000 23700357828000 28440429393600 35550536742000 47400715656000 71101073484000 142202146968000
- Sum of all divisors σ(n): 639769018412160
- Sum of proper divisors (its aliquot sum) s(n): 497566871444160
- 142202146968000 is an abundant number, because the sum of its proper divisors (497566871444160) is greater than itself. Its abundance is 355364724476160
Bases of 142202146968000
- Binary: 1000000101010101000001000111010011010001110000002
- Hexadecimal: 0x81550474D1C0
- Base-36: 1EEMRIR5C0
Squares and roots of 142202146968000
- 142202146968000 squared (1422021469680002) is 20221450602308671593024000000
- 142202146968000 cubed (1422021469680003) is 2875533690455649837972045531551232000000000
-
The
square root of 142202146968000 is 11924854.1696743613 -
The
cube root of 142202146968000 is 52195.7791011695
Scales and comparisons
How big is 142202146968000?- 142,202,146,968,000 seconds is equal to 4,521,588 years, 21 weeks, 3 days, 12 hours.
-
To count from 1 to 142,202,146,968,000 would take you about eleven million, three hundred three thousand, nine hundred seventy-one 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 142202146968000 cubic inches would be around 4349.6 feet tall.
Recreational maths with 142202146968000
- 142202146968000 backwards is 000869641202241
- 142202146968000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 142202146968000's digits is 45
- More coming soon!
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MLA style:
"Number 142202146968000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 142202146968000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/142202146968000/
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The information we have on file for 142202146968000 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 142202146968000, math, Factors of 142202146968000, curriculum, school, college, exams, university, Prime factorization of 142202146968000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-two trillion, two hundred two billion, one hundred forty-six million, nine hundred sixty-eight thousand.