142982133983148200
142,982,133,983,148,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 142982133983148200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
142982133983148200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 142982133983148200:
23 × 52 × 133 × 173 × 312 × 413
(2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 17 × 17 × 17 × 31 × 31 × 41 × 41 × 41)See below for interesting mathematical facts about the number 142982133983148200 from the Numbermatics database.
Names of 142982133983148200
- Cardinal: 142982133983148200 can be written as One hundred forty-two quadrillion, nine hundred eighty-two trillion, one hundred thirty-three billion, nine hundred eighty-three million, one hundred forty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.429821339831482 × 1017
Factors of 142982133983148200
Divisors of 142982133983148200
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 8 10 13 17 20 25 26 31 34 40 41 50 52 62 65 68 82 85 100 104 124 130 136 155 164 169 170 200 205 221 248 260 289 310 325 328 338 340 403 410 425 442 520 527 533 578 620 650 676 680 697 775 806 820 845 850 884 961 1025 1054 1066 1105 1156 1240 1271 1300 1352 1394 1445 1550 1612 1640 1681 1690 1700 1768 1922 2015 2050 2108 2132 2197 2210 2312 2542 2600 2635 2665 2788 2873 2890 3100 3224 3362 3380 3400 3485 3757 3844 4030 4100 4216 4225 4264 4394 4420 4805 4913 5084 5239 5270 5330 5525 5576 5746 5780 6200 6355 6724 6760 6851 6929 6970 7225 7514 7688 8060 8200 8405 8450 8788 8840 8959 9061 9610 9826 10075 10168 10478 10540 10660 10985 11050 11492 11560 11849 12493 12710 13175 13325 13448 13702 13858 13940 14365 14450 15028 16120 16337 16523 16810 16900 17425 17576 17918 18122 18785 19220 19652 20150 20956 21080 21320 21607 21853 21970 22100 22984 23698 24025 24565 24986 25420 26195 26350 26650 27404 27716 27880 28577 28730 28900 30056 31775 32674 33046 33620 33800 34255 34645 34850 35836 36244 37349 37570 38440 39304 39401 40300 41912 42025 43214 43706 43940 44200 44795 45305 47396 48050 48841 49130 49972 50840 52111 52390 52700 53300 54808 54925 55432 57154 57460 57800 59245 62465 63550 63869 65348 66092 67240 68107 68510 68921 69290 69700 71672 71825 72488 74698 75140 78802 80600 81685 82615 84050 86428 87412 87880 89063 89590 90077 90610 93925 94792 96100 97682 98260 99944 104222 104780 105400 106600 108035 109265 109850 114308 114920 116467 117793 118490 122825 124930 127100 127738 130696 130975 132184 136214 137020 137842 138580 139400 142885 143650 149396 150280 152303 154037 157604 162409 163370 165230 168100 171275 172856 173225 174824 178126 179180 180154 181220 186745 187850 192200 195364 196520 197005 201433 208444 209560 212381 214799 216070 218530 219700 223975 226525 228616 232934 235586 236980 244205 245650 249860 254200 255476 260555 261950 272428 274040 275684 277160 277729 280891 284089 285770 287300 296225 298792 304606 308074 312325 315208 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3411484395475 3547943771294 3628896068200 3637851973925 3719618469905 3805752834260 3828272081800 3944987694050 3989902164950 4102787201812 4127064049160 4174051495640 4230240650389 4252889172610 4326760696700 4376021729300 4499831124568 4757191042825 4947478684538 4976753706340 5003399026600 5128484002265 5158830061450 5217564369550 5365183263908 5426266944332 5458375032760 5624788905710 5722489953700 5820563158280 5951389551848 6033510590900 6220942132925 6469779818242 6508062539060 6542906419400 6617398712600 6706479079885 6782833680415 6822968790950 7095887542588 7275703947850 7439236939810 7611505668520 7889975388100 7979804329900 8135078173825 8205574403624 8460481300778 8505778345220 8653521393400 8752043458600 8869859428235 9514382085650 9894957369076 9953507412680 10256968004530 10317660122900 10435128739100 10632222931525 10730366527816 10852533888664 11249577811420 11444979907400 12067021181800 12368696711345 12441884265850 12939559636484 13016125078120 13412958159770 13565667360830 13645937581900 14061972264275 14191775085176 14551407895700 14878473879620 15779950776200 15959608659800 16174449545605 16270156347650 16920962601556 17011556690440 17436845607701 17739718856470 18598092349525 19028764171300 19789914738152 20513936009060 20635320245800 20870257478200 21151203251945 21264445863050 22499155622840 23061634513411 24737393422690 24883768531700 25642420011325 25879119272968 26825916319540 27131334721660 27291875163800 28123944528550 29102815791400 29756947759240 32348899091210 32540312695300 33532395399425 33841925203112 33914168402075 34873691215402 35479437712940 37196184699050 38057528342600 41027872018120 42053568818573 42302406503890 42528891726100 44349297141175 46123269026822 49474786845380 49767537063400 51284840022650 53651832639080 54262669443320 54993128455057 56247889057100 61843483556725 64697798182420 65080625390600 67064790798850 67828336804150 69747382430804 70958875425880 74392369398100 80872247728025 84107137637146 84604813007780 85057783452200 87184228038505 88698594282350 92246538053644 98949573690760 102569680045300 105756016259725 109986256910114 112495778114200 115308172567055 123686967113450 129395596364840 134129581597700 135656673608300 139494764861608 148784738796200 161744495456050 168214275274292 169209626015560 174368456077010 177397188564700 184493076107288 205139360090600 210267844092865 211512032519450 219972513820228 230616345134110 247373934226900 268259163195400 271313347216600 274965642275285 323488990912100 336428550548584 348736912154020 354794377129400 420535688185730 423024065038900 435921140192525 439945027640456 461232690268220 494747868453800 549931284550570 576540862835275 646977981824200 697473824308040 714910669915741 841071376371460 846048130077800 871842280385050 922465380536440 1051339220464325 1099862569101140 1153081725670550 1374828211376425 1429821339831482 1682142752742920 1743684560770100 2102678440928650 2199725138202280 2306163451341100 2749656422752850 2859642679662964 3487369121540200 3574553349578705 4205356881857300 4612326902682200 5499312845505700 5719285359325928 7149106699157410 8410713763714600 10998625691011400 14298213398314820 17872766747893525 28596426796629640 35745533495787050 71491066991574100 142982133983148200
- Sum of all divisors σ(n): 405251791397208000
- Sum of proper divisors (its aliquot sum) s(n): 262269657414059800
- 142982133983148200 is an abundant number, because the sum of its proper divisors (262269657414059800) is greater than itself. Its abundance is 119287523430911600
Bases of 142982133983148200
- Binary: 1111110111111100101111110010010010100101011111000101010002
- Hexadecimal: 0x1FBF97E494AF8A8
- Base-36: 133UXPK49LEW
Squares and roots of 142982133983148200
- 142982133983148200 squared (1429821339831482002) is 20443890638374943348801583163240000
- 142982133983148200 cubed (1429821339831482003) is 2923111110392955335880989832933191035009712168000000
-
The
square root of 142982133983148200 is 378129784.5755451727 -
The
cube root of 142982133983148200 is 522910.3743789267
Scales and comparisons
How big is 142982133983148200?- 142,982,133,983,148,200 seconds is equal to 4,546,389,587 years, 46 weeks, 3 hours, 23 minutes, 20 seconds.
-
To count from 1 to 142,982,133,983,148,200 would take you about thirteen billion, six hundred thirty-nine million, one hundred sixty-eight thousand, seven hundred sixty-three 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 142982133983148200 cubic inches would be around 43575.9 feet tall.
Recreational maths with 142982133983148200
- 142982133983148200 backwards is 002841389331289241
- 142982133983148200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 142982133983148200's digits is 68
- More coming soon!
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"Number 142982133983148200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 142982133983148200 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/142982133983148200/
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The information we have on file for 142982133983148200 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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