132137604316800
132,137,604,316,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132137604316800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
132137604316800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 132137604316800:
27 × 32 × 52 × 53 × 181 × 257 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 53 × 181 × 257 × 1861)See below for interesting mathematical facts about the number 132137604316800 from the Numbermatics database.
Names of 132137604316800
- Cardinal: 132137604316800 can be written as One hundred thirty-two trillion, one hundred thirty-seven billion, six hundred four million, three hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.321376043168 × 1014
Factors of 132137604316800
Divisors of 132137604316800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 128 144 150 159 160 180 181 192 200 212 225 240 257 265 288 300 318 320 360 362 384 400 424 450 477 480 514 530 543 576 600 636 640 720 724 771 795 800 848 900 905 954 960 1028 1060 1086 1152 1200 1272 1285 1325 1440 1448 1542 1590 1600 1629 1696 1800 1810 1861 1908 1920 2056 2120 2172 2313 2385 2400 2544 2570 2650 2715 2880 2896 3084 3180 3200 3258 3392 3600 3620 3722 3816 3855 3975 4112 4240 4344 4525 4626 4770 4800 5088 5140 5300 5430 5583 5760 5792 6168 6360 6425 6516 6784 7200 7240 7444 7632 7710 7950 8145 8224 8480 8688 9050 9252 9305 9540 9593 9600 10176 10280 10600 10860 11166 11565 11584 11925 12336 12720 12850 13032 13575 13621 14400 14480 14888 15264 15420 15900 16290 16448 16749 16960 17376 18100 18504 18610 19080 19186 19275 20352 20560 21200 21720 22332 23130 23168 23850 24672 25440 25700 26064 27150 27242 27915 28779 28800 28960 29776 30528 30840 31800 32580 32896 33498 33920 34752 36200 37008 37220 38160 38372 38550 40725 40863 41120 42400 43440 44664 46260 46517 46525 47700 47965 49344 50880 51400 52128 54300 54484 55830 57558 57825 57920 59552 61056 61680 63600 65160 66996 68105 69504 72400 74016 74440 76320 76744 77100 81450 81726 82240 83745 84800 86337 86880 89328 92520 93034 93050 95400 95930 98633 98688 101760 102800 104256 108600 108968 111660 115116 115650 115840 119104 122589 123360 127200 130320 133992 136210 139551 139575 143895 144800 148032 148880 152640 153488 154200 162900 163452 164480 167490 169600 172674 173760 178656 185040 186068 186100 190800 191860 197266 204315 205600 208512 217200 217936 223320 230232 231300 232585 238208 239825 245178 246720 254400 260640 267984 272420 279102 279150 287790 289600 295899 296064 297760 305280 306976 308400 325800 326904 334980 336841 340525 345348 347520 357312 370080 372136 372200 381600 383720 394532 408630 411200 418653 418725 431685 434400 435872 446640 460464 462600 465170 478277 479650 490356 493165 493440 508800 521280 535968 544840 558204 558300 575580 579200 591798 595520 612945 613952 616800 651600 653808 669960 673682 681050 690696 697755 714624 719475 740160 744272 744400 763200 767440 789064 817260 822400 837306 837450 863370 868800 871744 887697 893280 920928 925200 930340 956554 959300 980712 986330 1010523 1021575 1042560 1071936 1089680 1116408 1116600 1151160 1162925 1183596 1191040 1225890 1227904 1233600 1303200 1307616 1339920 1347364 1362100 1381392 1395510 1434831 1438950 1479495 1480320 1488544 1488800 1526400 1534880 1578128 1634520 1674612 1674900 1684205 1726740 1737600 1743488 1775394 1786560 1841856 1850400 1860680 1913108 1918600 1961424 1972660 2021046 2043150 2093265 2143872 2158425 2179360 2232816 2233200 2302320 2325850 2367192 2391385 2451780 2465401 2465825 2467200 2606400 2615232 2679840 2694728 2724200 2762784 2791020 2869662 2877900 2958990 2977088 2977600 3031569 3064725 3069760 3156256 3269040 3349224 3349800 3368410 3453480 3488775 3550788 3573120 3683712 3700800 3721360 3826216 3837200 3922848 3945320 4042092 4086300 4186530 4304493 4316850 4358720 4438485 4465632 4466400 4604640 4651700 4734384 4782770 4903560 4930802 4931650 5052615 5212800 5230464 5359680 5389456 5448400 5525568 5582040 5739324 5755800 5917980 5954176 5955200 6063138 6129450 6139520 6312512 6538080 6698448 6699600 6736820 6906960 6977550 7101576 7174155 7396203 7397475 7401600 7442720 7652432 7674400 7845696 7890640 8084184 8172600 8373060 8421025 8608986 8633700 8717440 8876970 8931264 8932800 9209280 9303400 9468768 9565540 9807120 9861604 9863300 10105230 10466325 10719360 10778912 10896800 11051136 11164080 11478648 11511600 11835960 11956925 12126276 12258900 12327005 12625024 13076160 13396896 13399200 13473640 13813920 13955100 14203152 14348310 14792406 14794950 14885440 15157845 15304864 15348800 15691392 15781280 16168368 16345200 16746120 16842050 17217972 17267400 17753940 17852573 17862528 17865600 18418560 18606800 18937536 19131080 19614240 19723208 19726600 20210460 20932650 21522465 21557824 21793600 22188609 22192425 22328160 22957296 23023200 23671920 23913850 24252552 24517800 24654010 25263075 25348681 26152320 26793792 26798400 26947280 27627840 27910200 28406304 28696620 29584812 29589900 29770880 30315690 30609728 30697600 31562560 32336736 32690400 33492240 33684100 34435944 34534800 35507880 35705146 35870775 36981015 37213600 37875072 38262160 39228480 39446416 39453200 40420920 41865300 43044930 43115648 43587200 44377218 44384850 44656320 45914592 46046400 47343840 47827700 48505104 49035600 49308020 50526150 50697362 53557719 53587584 53596800 53894560 55255680 55820400 56812608 57393240 59169624 59179800 60631380 61219456 61635025 63125120 64673472 65380800 66984480 67368200 68871888 69069600 71015760 71410292 71741550 73962030 74427200 75789225 76046043 76524320 78456960 78892832 78906400 80841840 83730600 86089860 86568137 88754436 88769700 89262865 89312640 91829184 92092800 94687680 95655400 97010208 98071200 98616040 101052300 101394724 107115438 107612325 107789120 110943045 111640800 113625216 114786480 118339248 118359600 121262760 123270050 126743405 129346944 130761600 133968960 134736400 137743776 138139200 142031520 142820584 143483100 147924060 148854400 151578450 152092086 153048640 157785664 157812800 160673157 161683680 167461200 172179720 173136274 177508872 177539400 178525730 183658368 184905075 189375360 191310800 194020416 196142400 197232080 202104600 202789448 214230876 215224650 215578240 221886090 223281600 228138129 229572960 236678496 236719200 242525520 246540100 253486810 259704411 267788595 267937920 269472800 275487552 276278400 284063040 285641168 286966200 295848120 303156900 304184172 306097280 315571328 315625600 321346314 323367360 334922400 344359440 346272548 355017744 355078800 357051460 369810150 380230215 382621600 388040832 392284800 394464160 404209200 405578896 428461752 430449300 432840685 443772180 446314325 446563200 456276258 459145920 473356992 473438400 485051040 493080200 506973620 519408822 535577190 538945600 550975104 554715225 568126080 571282336 573932400 591696240 606313800 608368344 633717025 642692628 646734720 669844800 688718880 692545096 710035488 710157600 714102920 739620300 760460430 765243200 779113233 788928320 803365785 808418400 811157792 856923504 860898600 865681370 887544360 892628650 912552516 918291840 946713984 946876800 970102080 986160400 1013947240 1038817644 1071154380 1077891200 1109430450 1140690645 1142564672 1147864800 1183392480 1212627600 1216736688 1267434050 1285385256 1298522055 1338942975 1339689600 1377437760 1385090192 1420070976 1420315200 1428205840 1479240600 1520920860 1530486400 1558226466 1577856640 1606731570 1616836800 1622315584 1713847008 1721797200 1731362740 1775088720 1785257300 1825105032 1901151075 1940204160 1972320800 2027894480 2077635288 2142308760 2164203425 2218860900 2281381290 2285129344 2295729600 2366784960 2425255200 2433473376 2534868100 2570770512 2597044110 2677885950 2754875520 2770180384 2840141952 2840630400 2856411680 2958481200 3041841720 3116452932 3213463140 3233673600 3244631168 3427694016 3443594400 3462725480 3550177440 3570514600 3650210064 3802302150 3895566165 3944641600 4016828925 4055788960 4155270576 4284617520 4328406850 4437721800 4562762580 4588111261 4591459200 4733569920 4850510400 4866946752 5069736200 5141541024 5194088220 5355771900 5540360768 5703453225 5712823360 5916962400 6083683440 6232905864 6426926280 6492610275 6855388032 6887188800 6925450960 7100354880 7141029200 7300420128 7604604300 7791132330 7889283200 8033657850 8111577920 8310541152 8569235040 8656813700 8875443600 9125525160 9176222522 9701020800 9733893504 10139472400 10283082048 10388176440 10711543800 11080721536 11406906450 11425646720 11833924800 12167366880 12465811728 12853852560 12985220550 13764333783 13774377600 13850901920 14200709760 14282058400 14600840256 15209208600 15582264660 16067315700 16223155840 16621082304 17138470080 17313627400 17750887200 18251050320 18352445044 19477830825 20278944800 20566164096 20776352880 21423087600 22813812900 22940556305 23667849600 24334733760 24931623456 25707705120 25970441100 27528667566 27701803840 28564116800 29201680512 30418417200 31164529320 32134631400 33242164608 34276940160 34627254800 35501774400 36502100640 36704890088 38955661650 40557889600 41293001349 41552705760 42846175200 45627625800 45881112610 48669467520 49863246912 51415410240 51940882200 55057335132 55403607680 57128233600 60836834400 62329058640 64269262800 68821668915 69254509600 71003548800 73004201280 73409780176 77911323300 81115779200 82586002698 83105411520 85692350400 91255251600 91762225220 99726493824 102830820480 103881764400 110114670264 114702781525 121673668800 124658117280 128538525600 137643337830 138509019200 146008402560 146819560352 155822646600 165172005396 166210823040 171384700800 182510503200 183524450440 206465006745 207763528800 220229340528 229405563050 243347337600 249316234560 257077051200 275286675660 277018038400 293639120704 311645293200 330344010792 344108344575 365021006400 367048900880 412930013490 415527057600 440458681056 458811126100 498632469120 514154102400 550573351320 587278241408 623290586400 660688021584 688216689150 730042012800 734097801760 825860026980 831054115200 880917362112 917622252200 1032325033725 1101146702640 1246581172800 1321376043168 1376433378300 1468195603520 1651720053960 1761834724224 1835244504400 2064650067450 2202293405280 2493162345600 2642752086336 2752866756600 2936391207040 3303440107920 3670489008800 4129300134900 4404586810560 5285504172672 5505733513200 6606880215840 7340978017600 8258600269800 8809173621120 11011467026400 13213760431680 14681956035200 16517200539600 22022934052800 26427520863360 33034401079200 44045868105600 66068802158400 132137604316800
- Sum of all divisors σ(n): 485187671470320
- Sum of proper divisors (its aliquot sum) s(n): 353050067153520
- 132137604316800 is an abundant number, because the sum of its proper divisors (353050067153520) is greater than itself. Its abundance is 220912462836720
Bases of 132137604316800
- Binary: 111100000101101101011101111011101111110100000002
- Hexadecimal: 0x782DAEF77E80
- Base-36: 1AU76DX280
Squares and roots of 132137604316800
- 132137604316800 squared (1321376043168002) is 17460346474583201994762240000
- 132137604316800 cubed (1321376043168003) is 2307168353692708973383861335213637632000000
-
The
square root of 132137604316800 is 11495112.1924407505 -
The
cube root of 132137604316800 is 50934.1202821649
Scales and comparisons
How big is 132137604316800?- 132,137,604,316,800 seconds is equal to 4,201,567 years, 4 weeks, 4 days, 8 hours.
-
To count from 1 to 132,137,604,316,800 would take you about ten million, five hundred three thousand, nine hundred seventeen 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 132137604316800 cubic inches would be around 4244.5 feet tall.
Recreational maths with 132137604316800
- 132137604316800 backwards is 008613406731231
- 132137604316800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132137604316800's digits is 45
- More coming soon!
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The information we have on file for 132137604316800 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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