132406667904000
132,406,667,904,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132406667904000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
132406667904000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 132406667904000:
210 × 3 × 53 × 72 × 23 × 37 × 8269
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 23 × 37 × 8269)See below for interesting mathematical facts about the number 132406667904000 from the Numbermatics database.
Names of 132406667904000
- Cardinal: 132406667904000 can be written as One hundred thirty-two trillion, four hundred six billion, six hundred sixty-seven million, nine hundred four thousand.
Scientific notation
- Scientific notation: 1.32406667904 × 1014
Factors of 132406667904000
Divisors of 132406667904000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 37 40 42 46 48 49 50 56 60 64 69 70 74 75 80 84 92 96 98 100 105 111 112 115 120 125 128 138 140 147 148 150 160 161 168 175 184 185 192 196 200 210 222 224 230 240 245 250 256 259 276 280 294 296 300 320 322 336 345 350 368 370 375 384 392 400 420 444 448 460 480 483 490 500 512 518 525 552 555 560 575 588 592 600 640 644 672 690 700 735 736 740 750 768 777 784 800 805 840 851 875 888 896 920 925 960 966 980 1000 1024 1036 1050 1104 1110 1120 1127 1150 1176 1184 1200 1225 1280 1288 1295 1344 1380 1400 1470 1472 1480 1500 1536 1554 1568 1600 1610 1680 1702 1725 1750 1776 1792 1813 1840 1850 1920 1932 1960 2000 2072 2100 2208 2220 2240 2254 2300 2352 2368 2400 2415 2450 2553 2560 2576 2590 2625 2688 2760 2775 2800 2875 2940 2944 2960 3000 3072 3108 3136 3200 3220 3360 3381 3404 3450 3500 3552 3584 3626 3675 3680 3700 3840 3864 3885 3920 4000 4025 4144 4200 4255 4416 4440 4480 4508 4600 4625 4704 4736 4800 4830 4900 5106 5120 5152 5180 5250 5376 5439 5520 5550 5600 5635 5750 5880 5888 5920 5957 6000 6125 6216 6272 6400 6440 6475 6720 6762 6808 6900 7000 7104 7168 7252 7350 7360 7400 7680 7728 7770 7840 8000 8050 8269 8288 8400 8510 8625 8832 8880 8960 9016 9065 9200 9250 9408 9472 9600 9660 9800 10212 10304 10360 10500 10752 10878 11040 11100 11200 11270 11500 11760 11776 11840 11914 12000 12075 12250 12432 12544 12765 12800 12880 12950 13440 13524 13616 13800 13875 14000 14208 14504 14700 14720 14800 15360 15456 15540 15680 16000 16100 16538 16576 16800 16905 17020 17250 17664 17760 17871 17920 18032 18130 18375 18400 18500 18816 18944 19200 19320 19425 19600 20125 20424 20608 20720 21000 21275 21504 21756 22080 22200 22400 22540 23000 23520 23552 23680 23828 24000 24150 24500 24807 24864 25088 25530 25600 25760 25900 26880 27048 27195 27232 27600 27750 28000 28175 28416 29008 29400 29440 29600 29785 30912 31080 31360 32000 32200 32375 33076 33152 33600 33810 34040 34500 35328 35520 35742 35840 36064 36260 36750 36800 37000 37632 37888 38400 38640 38850 39200 40250 40848 41216 41345 41440 41699 42000 42550 43512 44160 44400 44800 45080 45325 46000 47040 47360 47656 48000 48300 49000 49614 49728 50176 51060 51520 51800 53760 54096 54390 54464 55200 55500 56000 56350 56832 57883 58016 58800 58880 59200 59570 60375 61824 62160 62720 63825 64000 64400 64750 66152 66304 67200 67620 68080 69000 70656 71040 71484 72128 72520 73500 73600 74000 75264 76800 77280 77700 78400 80500 81696 82432 82690 82880 83398 84000 84525 85100 87024 88320 88800 89355 89600 90160 90650 92000 94080 94720 95312 96000 96600 97125 98000 99228 99456 102120 103040 103600 106375 107520 108192 108780 108928 110400 111000 112000 112700 113664 115766 116032 117600 117760 118400 119140 120750 123648 124035 124320 125097 125440 127650 128000 128800 129500 132304 132608 134400 135240 135975 136160 138000 140875 142080 142968 144256 145040 147000 147200 148000 148925 150528 154560 155400 156800 161000 163392 164864 165380 165760 166796 168000 169050 170200 173649 174048 176640 177600 178710 179200 180320 181300 184000 188160 189440 190187 190624 192000 193200 194250 196000 198456 198912 204240 206080 206725 207200 208495 212750 216384 217560 217856 220800 222000 224000 225400 226625 231532 232064 235200 236800 238280 241500 247296 248070 248640 250194 250880 255300 257600 259000 264608 265216 268800 270480 271950 272320 276000 281750 284160 285936 288512 289415 290080 294000 294400 296000 297850 305953 309120 310800 313600 319125 322000 326784 330760 331520 333592 336000 338100 340400 347298 348096 353280 355200 357420 360640 362600 368000 376320 380374 381248 384000 386400 388500 392000 396912 397824 405181 408480 412160 413450 414400 416990 422625 425500 432768 435120 435712 441600 444000 446775 448000 450800 453250 463064 464128 470400 473600 476560 483000 494592 496140 497280 500388 510600 515200 518000 529216 537600 540960 543900 544640 552000 563500 568320 570561 571872 577024 578830 580160 588000 588800 592000 595700 611906 618240 620175 621600 625485 627200 638250 644000 653568 661520 663040 667184 672000 676200 679875 680800 694596 696192 710400 714840 721280 725200 736000 744625 752640 760748 762496 772800 777000 784000 793824 795648 810362 816960 824320 826900 828800 833980 845250 851000 865536 868245 870240 871424 883200 888000 893550 896000 901600 906500 917859 926128 928256 940800 947200 950935 953120 966000 992280 994560 1000776 1021200 1030400 1033625 1036000 1042475 1058432 1081920 1087800 1089280 1104000 1127000 1141122 1143744 1154048 1157660 1160320 1176000 1184000 1191400 1215543 1223812 1236480 1240350 1243200 1250970 1254400 1276500 1288000 1307136 1323040 1326080 1331309 1334368 1344000 1352400 1359750 1361600 1389192 1392384 1420800 1429680 1442560 1447075 1450400 1472000 1489250 1521496 1524992 1529765 1545600 1554000 1568000 1587648 1620724 1633920 1653800 1657600 1667960 1690500 1702000 1731072 1736490 1740480 1766400 1776000 1787100 1803200 1813000 1835718 1852256 1856512 1881600 1901870 1906240 1932000 1984560 1989120 2001552 2025905 2042400 2060800 2067250 2072000 2084950 2116864 2141671 2163840 2175600 2178560 2208000 2233875 2254000 2282244 2287488 2315320 2320640 2352000 2368000 2382800 2431086 2447624 2472960 2480700 2486400 2501940 2553000 2576000 2614272 2646080 2662618 2668736 2688000 2704800 2719500 2723200 2778384 2784768 2841600 2852805 2859360 2885120 2894150 2900800 2944000 2978500 3042992 3049984 3059530 3091200 3100875 3108000 3127425 3136000 3175296 3241448 3267840 3307600 3315200 3335920 3381000 3404000 3462144 3472980 3480960 3552000 3574200 3606400 3626000 3671436 3704512 3763200 3803740 3812480 3864000 3969120 3978240 3993927 4003104 4051810 4084800 4121600 4134500 4144000 4169900 4233728 4283342 4327680 4341225 4351200 4357120 4416000 4467750 4508000 4564488 4574976 4589295 4630640 4641280 4704000 4736000 4754675 4765600 4862172 4895248 4961400 4972800 5003880 5106000 5152000 5212375 5292160 5325236 5337472 5409600 5439000 5446400 5556768 5569536 5705610 5718720 5770240 5788300 5801600 5957000 6077715 6085984 6099968 6119060 6182400 6201750 6216000 6254850 6272000 6350592 6425013 6482896 6535680 6615200 6630400 6656545 6671840 6762000 6808000 6945960 6961920 7036919 7104000 7148400 7212800 7235375 7252000 7342872 7409024 7607480 7624960 7648825 7728000 7938240 7987854 8006208 8103620 8169600 8269000 8288000 8339800 8467456 8566684 8655360 8682450 8702400 8832000 8935500 9016000 9128976 9149952 9178590 9261280 9282560 9319163 9408000 9509350 9531200 9724344 9790496 9922800 9945600 10007760 10129525 10212000 10304000 10424750 10584320 10650472 10674944 10708355 10819200 10878000 10892800 11113536 11411220 11437440 11576600 11603200 11914000 12155430 12171968 12238120 12364800 12403500 12432000 12509700 12701184 12850026 12965792 13071360 13230400 13313090 13343680 13524000 13616000 13891920 13923840 14073838 14208000 14264025 14296800 14425600 14470750 14504000 14685744 14818048 14991697 15214960 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383787443200 394067464000 411200832000 413770837200 441355559680 447319824000 450362816000 472880956800 479734304000 511222656000 517213546500 529626671616 540435379200 551694449600 575681164800 591101196000 596426432000 630507942400 662033339520 675544224000 689618062000 715711718400 719601456000 756609530880 788134928000 822401664000 827541674400 882711119360 894639648000 900725632000 945761913600 959468608000 1034427093000 1059253343232 1103388899200 1151362329600 1182202392000 1192852864000 1261015884800 1324066679040 1351088448000 1379236124000 1439202912000 1576269856000 1655083348800 1765422238720 1789279296000 1891523827200 1918937216000 2068854186000 2206777798400 2364404784000 2648133358080 2702176896000 2758472248000 2878405824000 3152539712000 3310166697600 3578558592000 3783047654400 4137708372000 4413555596800 4728809568000 5296266716160 5516944496000 5756811648000 6305079424000 6620333395200 8275416744000 8827111193600 9457619136000 11033888992000 13240666790400 16550833488000 18915238272000 22067777984000 26481333580800 33101666976000 44135555968000 66203333952000 132406667904000
- Sum of all divisors σ(n): 549133117079040
- Sum of proper divisors (its aliquot sum) s(n): 416726449175040
- 132406667904000 is an abundant number, because the sum of its proper divisors (416726449175040) is greater than itself. Its abundance is 284319781271040
Bases of 132406667904000
- Binary: 111100001101100010101000110100000000100000000002
- Hexadecimal: 0x786C54680400
- Base-36: 1AXMS7FITC
Squares and roots of 132406667904000
- 132406667904000 squared (1324066679040002) is 17531525705440143753216000000
- 132406667904000 cubed (1324066679040003) is 2321290901930652440082091043979264000000000
-
The
square root of 132406667904000 is 11506809.6318658195 -
The
cube root of 132406667904000 is 50968.6681708547
Scales and comparisons
How big is 132406667904000?- 132,406,667,904,000 seconds is equal to 4,210,122 years, 24 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 132,406,667,904,000 would take you about ten million, five hundred twenty-five thousand, three hundred 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 132406667904000 cubic inches would be around 4247.4 feet tall.
Recreational maths with 132406667904000
- 132406667904000 backwards is 000409766604231
- 132406667904000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132406667904000's digits is 48
- More coming soon!
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MLA style:
"Number 132406667904000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 132406667904000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/132406667904000/
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The information we have on file for 132406667904000 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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