138742130521800
138,742,130,521,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138742130521800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
138742130521800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138742130521800:
23 × 32 × 52 × 133 × 173 × 37 × 193
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 17 × 17 × 17 × 37 × 193)See below for interesting mathematical facts about the number 138742130521800 from the Numbermatics database.
Names of 138742130521800
- Cardinal: 138742130521800 can be written as One hundred thirty-eight trillion, seven hundred forty-two billion, one hundred thirty million, five hundred twenty-one thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387421305218 × 1014
Factors of 138742130521800
Divisors of 138742130521800
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 17 18 20 24 25 26 30 34 36 37 39 40 45 50 51 52 60 65 68 72 74 75 78 85 90 100 102 104 111 117 120 130 136 148 150 153 156 169 170 180 185 193 195 200 204 221 222 225 234 255 260 289 296 300 306 312 325 333 338 340 360 370 386 390 408 425 442 444 450 468 481 507 510 520 555 578 579 585 600 612 629 650 663 666 676 680 740 765 772 780 845 850 867 884 888 900 925 936 962 965 975 1014 1020 1105 1110 1156 1158 1170 1224 1258 1275 1300 1326 1332 1352 1443 1445 1480 1521 1530 1544 1560 1665 1690 1700 1734 1737 1768 1800 1850 1887 1924 1930 1950 1989 2028 2040 2197 2210 2220 2312 2316 2340 2405 2509 2516 2535 2550 2600 2601 2652 2664 2775 2873 2886 2890 2895 2925 3042 3060 3145 3281 3315 3330 3380 3400 3468 3474 3700 3757 3774 3825 3848 3860 3900 3978 4056 4225 4329 4335 4394 4420 4440 4632 4680 4810 4825 4913 5018 5032 5070 5100 5202 5304 5525 5550 5661 5746 5772 5780 5790 5850 6084 6120 6253 6290 6562 6591 6630 6660 6760 6936 6948 7141 7215 7225 7400 7514 7527 7548 7605 7650 7720 7800 7956 8177 8325 8450 8619 8658 8670 8685 8788 8840 9435 9620 9650 9826 9843 9945 10036 10140 10200 10404 10693 10985 11050 11100 11271 11322 11492 11544 11560 11580 11700 12025 12168 12506 12545 12580 12675 13005 13124 13182 13260 13320 13896 14282 14365 14430 14450 14475 14739 15028 15054 15096 15210 15300 15725 15912 16354 16405 16575 16650 16900 17238 17316 17340 17370 17576 18759 18785 18870 19240 19300 19652 19686 19773 19890 20072 20280 20808 21386 21423 21645 21675 21970 22100 22200 22542 22581 22644 22984 23160 23400 24050 24531 24565 25012 25090 25160 25350 25857 26010 26248 26364 26520 28305 28564 28730 28860 28900 28950 29478 29529 30056 30108 30420 30600 31265 31450 32079 32617 32708 32810 32955 33150 33300 33800 33813 34476 34632 34680 34740 35705 36075 37349 37518 37570 37635 37740 38025 38600 39304 39372 39546 39780 40885 42653 42772 42846 43095 43290 43350 43425 43940 44200 44217 45084 45162 45288 47175 48100 48841 49062 49130 49215 49725 50024 50180 50700 51714 52020 52728 53465 54925 55777 56277 56355 56610 57128 57460 57720 57800 57900 58956 59058 60216 60840 62530 62725 62900 63869 64158 64269 65025 65234 65416 65620 65910 66300 66600 67626 68952 69480 71410 71825 72150 73593 73695 74698 75036 75140 75270 75480 76050 78744 79092 79560 81289 81770 82025 85306 85544 85692 86190 86580 86700 86850 87880 88434 90168 90324 92833 93795 93925 94350 96200 96237 97682 97851 98124 98260 98430 98865 99450 100360 101400 103428 104040 106301 106930 107115 108225 109850 111554 112047 112554 112710 112905 113220 114920 115800 117912 118116 121397 122655 122825 125060 125450 125800 127738 127959 128316 128538 129285 130050 130468 131240 131820 132600 135252 139009 141525 142820 143650 144300 146523 147186 147390 147645 149396 150072 150280 150540 152100 156325 158184 160395 162578 163085 163540 164050 164775 167331 169065 170612 171384 172380 173160 173400 173700 176868 178525 180648 181781 185666 186745 187590 187850 188175 188700 191607 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3137755400 3138962229 3157535970 3194982856 3200510508 3204946420 3219448440 3238158300 3243760650 3252810600 3393472680 3487735810 3508373300 3523878150 3529974825 3594355713 3648708232 3676262070 3686518680 3692896740 3698015100 3714748200 3845935704 3885789960 3993728570 4000638135 4006183025 4024310550 4103218600 4104796761 4166430346 4185282972 4210047960 4228653780 4241840850 4253675400 4325014200 4411514484 4437618120 4534056553 4560885290 4608148350 4616120925 4698504200 4706633100 4792474284 4800765762 4807419630 4829172660 4857237450 4901682760 5231603715 5262559950 5285817225 5334184180 5365747400 5473062348 5514393105 5529778020 5547022650 5647959720 5655787800 5768903556 5929150877 5990592855 6036465825 6127103450 6144197800 6154827900 6249645519 6277924458 6315071940 6401021016 6409892840 6476316600 6487521300 6667730225 6841327935 6912222525 6975471620 7016746600 7047756300 7059949650 7188711426 7211129445 7352524140 7385793480 7396030200 7893839925 7987457140 8001276270 8012366050 8048621100 8209593522 8332860692 8370565944 8457307560 8483681700 8719339525 8823028968 9068113106 9121770580 9190655175 9216296700 9232241850 9413266200 9584948568 9601531524 9614839260 9658345320 9714474900 9984321425 10416075865 10463207430 10525119900 10571634450 10668368360 10946124696 11028786210 11059556040 11094045300 11402213225 11537807112 11858301754 11981185710 12001914405 12018549075 12072931650 12254206900 12309655800 12499291038 12555848916 12630143880 12975042600 13335460450 13602169659 13682655870 13824445050 13950943240 14095512600 14119899300 14377422852 14422258890 14705048280 15694811145 15787679850 15974914280 16002552540 16024732100 16097242200 16419187044 16665721384 16967363400 17438679050 17787452631 17971778565 18136226212 18243541160 18381310350 18432593400 18464483700 18748936557 19203063048 19229678520 19428949800 19968642850 20003190675 20523983805 20832151730 20926414860 21050239800 21143268900 22057572420 22188090600 22670282765 22804426450 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91217705800 93744682785 96015315240 96148392600 102619919025 104160758650 104632074300 106724715786 108817357272 110287862100 113351413825 118583017540 119811857100 120019144050 124992910380 125558489160 136021696590 136826558700 142299621048 143774228520 144222588900 148228771925 149991492456 154157922802 156241137975 156948111450 160025525400 163226035908 164191870440 177874526310 179717785650 181362262120 187489365570 204032544885 205239838050 208321517300 209264148600 213449431572 220575724200 226702827650 231236884203 237166035080 239623714200 240038288100 249985820760 266811789465 272043393180 273653117400 288445177800 296457543850 308315845604 312482275950 313896222900 326452071816 340054241475 355749052620 359435571300 374978731140 385394807005 408065089770 410479676100 416643034600 426898863144 444686315775 453405655300 462473768406 468723413925 480076576200 533623578930 544086786360 592915087700 616631691208 624964551900 627792445800 680108482950 693710652609 711498105240 718871142600 749957462280 770789614010 816130179540 820959352200 889372631550 906811310600 924947536812 937446827850 1020162724425 1067247157860 1156184421015 1185830175400 1249929103800 1334058947325 1360216965900 1387421305218 1541579228020 1632260359080 1778745263100 1849895073624 1874893655700 1926974035025 2040325448850 2134494315720 2312368842030 2668117894650 2720433931800 2774842610436 3083158456040 3468553263045 3557490526200 3749787311400 3853948070050 4080650897700 4624737684060 5336235789300 5549685220872 5780922105075 6937106526090 7707896140100 8161301795400 9249475368120 10672471578600 11561844210150 13874213052180 15415792280200 17342766315225 23123688420300 27748426104360 34685532630450 46247376840600 69371065260900 138742130521800
- Sum of all divisors σ(n): 553642080264000
- Sum of proper divisors (its aliquot sum) s(n): 414899949742200
- 138742130521800 is an abundant number, because the sum of its proper divisors (414899949742200) is greater than itself. Its abundance is 276157819220400
Bases of 138742130521800
- Binary: 111111000101111011010110110011110110110110010002
- Hexadecimal: 0x7E2F6B67B6C8
- Base-36: 1D6H96AOY0
Squares and roots of 138742130521800
- 138742130521800 squared (1387421305218002) is 19249378781728187140275240000
- 138742130521800 cubed (1387421305218003) is 2670699823398099613186163633656820232000000
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The
square root of 138742130521800 is 11778884.9439070421 -
The
cube root of 138742130521800 is 51768.9615093721
Scales and comparisons
How big is 138742130521800?- 138,742,130,521,800 seconds is equal to 4,411,570 years, 30 weeks, 5 days, 20 hours, 30 minutes.
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To count from 1 to 138,742,130,521,800 would take you about eleven million, twenty-eight thousand, nine hundred twenty-six 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 138742130521800 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138742130521800
- 138742130521800 backwards is 008125031247831
- 138742130521800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138742130521800's digits is 45
- More coming soon!
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The information we have on file for 138742130521800 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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