132338315138400
132,338,315,138,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 132338315138400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
132338315138400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 132338315138400:
25 × 33 × 52 × 72 × 973 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 97 × 97 × 97 × 137)See below for interesting mathematical facts about the number 132338315138400 from the Numbermatics database.
Names of 132338315138400
- Cardinal: 132338315138400 can be written as One hundred thirty-two trillion, three hundred thirty-eight billion, three hundred fifteen million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.323383151384 × 1014
Factors of 132338315138400
Divisors of 132338315138400
- Number of divisors d(n): 1728
-
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 42 45 48 49 50 54 56 60 63 70 72 75 80 84 90 96 97 98 100 105 108 112 120 126 135 137 140 144 147 150 160 168 175 180 189 194 196 200 210 216 224 225 240 245 252 270 274 280 288 291 294 300 315 336 350 360 378 388 392 400 411 420 432 441 450 480 485 490 504 525 540 548 560 582 588 600 630 672 675 679 685 700 720 735 756 776 784 800 822 840 864 873 882 900 945 959 970 980 1008 1050 1080 1096 1120 1164 1176 1200 1225 1233 1260 1323 1350 1358 1370 1400 1440 1455 1470 1512 1552 1568 1575 1644 1680 1746 1764 1800 1890 1918 1940 1960 2016 2037 2055 2100 2160 2192 2205 2328 2352 2400 2425 2450 2466 2520 2619 2646 2700 2716 2740 2800 2877 2910 2940 3024 3104 3150 3288 3360 3395 3425 3492 3528 3600 3675 3699 3780 3836 3880 3920 4074 4110 4200 4320 4365 4384 4410 4656 4704 4725 4753 4795 4850 4900 4932 5040 5238 5292 5400 5432 5480 5600 5754 5820 5880 6048 6111 6165 6300 6576 6615 6713 6790 6850 6984 7056 7200 7275 7350 7398 7560 7672 7760 7840 8148 8220 8400 8631 8730 8820 9312 9409 9450 9506 9590 9700 9800 9864 10080 10185 10275 10476 10584 10800 10864 10960 11025 11508 11640 11760 12222 12330 12600 13095 13152 13230 13289 13426 13580 13700 13968 14112 14259 14385 14550 14700 14796 15120 15344 15520 16296 16440 16800 16975 17262 17460 17640 18333 18495 18818 18900 19012 19180 19400 19600 19728 20139 20370 20550 20952 21168 21600 21728 21825 21920 22050 23016 23280 23520 23765 23975 24444 24660 25200 25893 26190 26460 26578 26852 27160 27400 27936 28227 28518 28770 29100 29400 29592 30240 30555 30688 30825 32592 32880 33075 33565 33950 34524 34920 35280 36666 36990 37636 37800 38024 38360 38800 39200 39456 39867 40278 40740 41100 41904 42336 42777 43155 43650 44100 46032 46560 47045 47530 47950 48888 49320 50400 50925 51786 52380 52920 53156 53704 54320 54800 56454 57036 57540 58200 58800 59184 60417 61110 61650 65184 65475 65760 65863 66150 66445 67130 67900 69048 69840 70560 71295 71925 73332 73980 75272 75600 76048 76720 77600 79734 80556 81480 82200 83808 84681 85554 86310 87300 88200 91665 92064 92475 93023 94090 95060 95900 97776 98640 100695 101850 103572 104760 105840 106312 107408 108640 109600 112908 114072 115080 116400 117600 118368 118825 119601 120834 122220 123300 128331 129465 130950 131726 132300 132890 134260 135800 138096 139680 141135 142590 143850 146664 147960 150544 151200 152096 152775 153440 159468 161112 162960 164400 167825 169362 171108 172620 174600 176400 181251 183330 184950 186046 188180 190120 191800 195552 197280 197589 199335 201390 203700 207144 209520 211680 212624 213885 214816 215775 225816 228144 230160 232800 235225 237650 239202 241668 244440 246600 254043 256662 258930 261900 263452 264600 265780 268520 271600 276192 279069 282270 285180 287700 293328 295920 301088 302085 305550 318936 322224 325920 328800 329315 332225 335650 338724 342216 345240 349200 352800 356475 358803 362502 366660 369900 372092 376360 380240 383600 395178 398670 402780 407400 414288 419040 423405 425248 427770 431550 451632 456288 458325 460320 461041 465115 470450 475300 478404 483336 488880 493200 503475 508086 513324 517860 523800 526904 529200 531560 537040 543200 558138 564540 570360 575400 586656 591840 592767 598005 604170 611100 637872 641655 644448 647325 651161 658630 664450 671300 677448 684432 690480 698400 705675 712950 717606 725004 733320 739800 744184 752720 760480 767200 790356 797340 805560 814800 828576 837207 846810 855540 863100 903264 906255 912673 916650 922082 930230 940900 950600 956808 966672 977760 986400 987945 996675 1006950 1016172 1026648 1035720 1047600 1053808 1058400 1063120 1069425 1074080 1116276 1129080 1140720 1150800 1185534 1196010 1208340 1222200 1270215 1275744 1283310 1289033 1294650 1302322 1317260 1328900 1342600 1354896 1368864 1380960 1383123 1395345 1411350 1425900 1435212 1450008 1466640 1479600 1488368 1505440 1510425 1580712 1594680 1611120 1629600 1646575 1674414 1693620 1711080 1726200 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663899040 669765600 670814655 676742325 689980788 696077820 703253880 711320400 715535632 721858480 730138400 750217206 757951404 766645320 773419800 781393200 788549472 804977586 812090790 821405700 829873800 862475985 866230176 870097275 875253407 879067350 894419540 902323100 919974384 928103760 937671840 947439255 958306650 974508948 985686840 995848560 1000289608 1004648400 1010601872 1022193760 1031226400 1073303448 1082787720 1095207600 1106498400 1113724512 1118024425 1125325809 1136927106 1149967980 1160129700 1172089800 1207466379 1218136185 1232108550 1244810700 1250362010 1263252340 1277742200 1299345264 1314249120 1341629310 1353484650 1379961576 1392155640 1406507760 1422640800 1431071264 1437459975 1443716960 1500434412 1515902808 1533290640 1546839600 1562786400 1579065425 1609955172 1624181580 1642811400 1659747600 1705390659 1724951970 1740194550 1750506814 1758134700 1788839080 1804646200 1839948768 1856207520 1875543015 1894878510 1916613300 1949017896 1971373680 1991697120 2000579216 2009296800 2012443965 2021203744 2030226975 2146606896 2165575440 2190415200 2236048850 2250651618 2273854212 2299935960 2320259400 2344179600 2414932758 2436272370 2464217100 2489621400 2500724020 2526504680 2555484400 2598690528 2625760221 2683258620 2706969300 2759923152 2784311280 2813015520 2842317765 2874919950 3000868824 3031805616 3066581280 3093679200 3125905025 3158130850 3219910344 3248363160 3285622800 3319495200 3354073275 3375977427 3410781318 3449903940 3480389100 3501013628 3516269400 3577678160 3609292400 3751086030 3789757020 3833226600 3898035792 3942747360 4001158432 4024887930 4060453950 4293213792 4312379925 4331150880 4376267035 4472097700 4501303236 4547708424 4599871920 4640518800 4688359200 4737196275 4829865516 4872544740 4928434200 4979242800 5001448040 5053009360 5110968800 5251520442 5366517240 5413938600 5519846304 5568622560 5626629045 5684635530 5749839900 6001737648 6037331895 6063611232 6090680925 6126773849 6251810050 6316261700 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22999359600 23631841989 24149327580 24362723700 24507095396 25007240200 25265046800 26257602210 26832586200 27007819416 27286250544 27599231520 27843112800 28008109024 28133145225 28423177650 30008688240 30186659475 30318056160 30633869245 31509122652 32199103440 32483631600 33759774270 34107813180 34499039400 35010136280 35776781600 36010425888 36760643094 37510860300 37897570200 38638924128 38980357920 39386403315 40248879300 42012163536 42634766475 43762670350 45013032360 45477084240 45998719200 47263683978 48298655160 48725447400 49014190792 50014480400 50530093600 52515204420 53665172400 54015638832 54572501088 55140964641 56266290450 56846355300 60017376480 60373318950 61267738490 63018245304 64398206880 64967263200 65644005525 67519548540 68215626360 68998078800 70020272560 73521286188 75021720600 75795140400 78772806630 80497758600 84024327072 84399435675 85269532950 87525340700 90026064720 90954168480 91901607735 94527367956 96597310320 97450894800 98028381584 100028960800 105030408840 107330344800 108031277664 110281929282 112532580900 113692710600 118159209945 120746637900 122535476980 126036490608 131288011050 135039097080 136431252720 137996157600 140040545120 147042572376 150043441200 151590280800 153169346225 157545613260 160995517200 165422893923 168798871350 170539065900 175050681400 180052129440 183803215470 189054735912 193194620640 194901789600 196056763168 196932016575 210060817680 220563858564 225065161800 227385421200 236318419890 241493275800 245070953960 252072981216 262576022100 270078194160 272862505440 275704823205 294085144752 300086882400 306338692450 315091226520 321991034400 330845787846 337597742700 341078131800 350101362800 367606430940 378109471824 393864033150 420121635360 441127717128 450130323600 454770842400 459508038675 472636839780 482986551600 490141907920 525152044200 540156388320 551409646410 588170289504 590796049725 612677384900 630182453040 661691575692 675195485400 682156263600 700202725600 735212861880 756218943648 787728066300 827114469615 882255434256 900260647200 919016077350 945273679560 965973103200 980283815840 1050304088400 1102819292820 1181592099450 1225354769800 1260364906080 1323383151384 1350390970800 1364312527200 1378524116025 1470425723760 1575456132600 1654228939230 1764510868512 1838032154700 1890547359120 2100608176800 2205638585640 2363184198900 2450709539600 2646766302768 2700781941600 2757048232050 2940851447520 3150912265200 3308457878460 3676064309400 3781094718240 4135572348075 4411277171280 4726368397800 4901419079200 5293532605536 5514096464100 6301824530400 6616915756920 7352128618800 8271144696150 8822554342560 9452736795600 11028192928200 13233831513840 14704257237600 16542289392300 18905473591200 22056385856400 26467663027680 33084578784600 44112771712800 66169157569200 132338315138400
- Sum of all divisors σ(n): 566672158785600
- Sum of proper divisors (its aliquot sum) s(n): 434333843647200
- 132338315138400 is an abundant number, because the sum of its proper divisors (434333843647200) is greater than itself. Its abundance is 301995528508800
Bases of 132338315138400
- Binary: 111100001011100011010100100001110010101011000002
- Hexadecimal: 0x785C6A439560
- Base-36: 1AWRDRYJC0
Squares and roots of 132338315138400
- 132338315138400 squared (1323383151384002) is 17513429653670470611154560000
- 132338315138400 cubed (1323383151384003) is 2317697772661642310005207807550191104000000
-
The
square root of 132338315138400 is 11503839.1477975733 -
The
cube root of 132338315138400 is 50959.8960821855
Scales and comparisons
How big is 132338315138400?- 132,338,315,138,400 seconds is equal to 4,207,949 years, 3 weeks, 5 days, 6 hours.
-
To count from 1 to 132,338,315,138,400 would take you about ten million, five hundred nineteen thousand, eight hundred seventy-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 132338315138400 cubic inches would be around 4246.7 feet tall.
Recreational maths with 132338315138400
- 132338315138400 backwards is 004831513833231
- 132338315138400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132338315138400's digits is 45
- More coming soon!
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"Number 132338315138400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 132338315138400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/132338315138400/
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The information we have on file for 132338315138400 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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