131232970844416000
131,232,970,844,416,000 is an even composite number composed of five prime numbers multiplied together.
131232970844416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 131232970844416000:
211 × 53 × 72 × 292 × 35272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 29 × 29 × 3527 × 3527)See below for interesting mathematical facts about the number 131232970844416000 from the Numbermatics database.
Names of 131232970844416000
- Cardinal: 131232970844416000 can be written as One hundred thirty-one quadrillion, two hundred thirty-two trillion, nine hundred seventy billion, eight hundred forty-four million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.31232970844416 × 1017
Factors of 131232970844416000
Divisors of 131232970844416000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 49 50 56 58 64 70 80 98 100 112 116 125 128 140 145 160 175 196 200 203 224 232 245 250 256 280 290 320 350 392 400 406 448 464 490 500 512 560 580 640 700 725 784 800 812 841 875 896 928 980 1000 1015 1024 1120 1160 1225 1280 1400 1421 1450 1568 1600 1624 1682 1750 1792 1856 1960 2000 2030 2048 2240 2320 2450 2560 2800 2842 2900 3136 3200 3248 3364 3500 3527 3584 3625 3712 3920 4000 4060 4205 4480 4640 4900 5075 5120 5600 5684 5800 5887 6125 6272 6400 6496 6728 7000 7054 7105 7168 7250 7424 7840 8000 8120 8410 8960 9280 9800 10150 10240 11200 11368 11600 11774 12250 12544 12800 12992 13456 14000 14108 14210 14336 14500 14848 15680 16000 16240 16820 17635 17920 18560 19600 20300 21025 22400 22736 23200 23548 24500 24689 25088 25375 25600 25984 26912 28000 28216 28420 29000 29435 29696 31360 32000 32480 33640 35270 35525 35840 37120 39200 40600 41209 42050 44800 45472 46400 47096 49000 49378 50176 50750 51200 51968 53824 56000 56432 56840 58000 58870 59392 62720 64000 64960 67280 70540 71050 71680 74240 78400 81200 82418 84100 88175 89600 90944 92800 94192 98000 98756 100352 101500 102283 103936 105125 107648 112000 112864 113680 116000 117740 123445 125440 128000 129920 134560 141080 142100 147175 148480 156800 162400 164836 168200 172823 176350 177625 179200 181888 185600 188384 196000 197512 203000 204566 206045 207872 210250 215296 224000 225728 227360 232000 235480 246890 250880 256000 259840 269120 282160 284200 294350 296960 313600 324800 329672 336400 345646 352700 355250 358400 363776 371200 376768 392000 395024 406000 409132 412090 415744 420500 430592 440875 448000 451456 454720 464000 470960 493780 501760 511415 519680 538240 564320 568400 588700 617225 627200 649600 659344 672800 691292 705400 710500 715981 727552 735875 742400 753536 784000 790048 812000 818264 824180 841000 861184 864115 881750 896000 902912 909440 928000 941920 987560 1022830 1030225 1039360 1076480 1128640 1136800 1177400 1234450 1254400 1299200 1318688 1345600 1382584 1410800 1421000 1431962 1455104 1471750 1484800 1507072 1568000 1580096 1624000 1636528 1648360 1682000 1722368 1728230 1763500 1792000 1805824 1818880 1856000 1883840 1975120 2045660 2060450 2078720 2152960 2257280 2273600 2354800 2468900 2508800 2557075 2598400 2637376 2691200 2765168 2821600 2842000 2863924 2910208 2943500 2966207 3014144 3086125 3136000 3160192 3248000 3273056 3296720 3364000 3456460 3527000 3579905 3611648 3637760 3712000 3767680 3950240 4091320 4120900 4305920 4320575 4514560 4547200 4709600 4937800 5011867 5114150 5151125 5196800 5274752 5382400 5530336 5643200 5684000 5727848 5887000 5932414 6028288 6172250 6272000 6320384 6496000 6546112 6593440 6728000 6912920 7054000 7159810 7223296 7275520 7424000 7535360 7900480 8182640 8241800 8611840 8641150 9029120 9094400 9419200 9875600 10023734 10228300 10302250 10393600 10549504 10764800 11060672 11286400 11368000 11455696 11774000 11864828 12056576 12344500 12439729 12544000 12640768 12785375 12992000 13092224 13186880 13456000 13825840 14108000 14319620 14551040 14831035 15070720 15800960 16365280 16483600 17282300 17899525 18058240 18188800 18838400 19751200 20047468 20456600 20604500 20763449 21099008 21529600 21602875 22121344 22572800 22736000 22911392 23548000 23729656 24689000 24879458 25059335 25281536 25570750 25984000 26184448 26373760 26912000 27651680 28216000 28639240 29662070 30141440 31601920 32730560 32967200 34564600 35799050 36116480 36377600 37676800 39502400 40094936 40913200 41209000 41526898 42198016 43059200 43205750 44242688 45145600 45472000 45822784 47096000 47459312 49378000 49758916 50118670 50563072 51141500 51968000 52368896 52747520 53824000 55303360 56432000 57278480 59324140 60282880 62198645 63203840 65461120 65934400 69129200 71598100 72755200 74155175 75353600 79004800 80189872 81826400 82418000 83053796 84396032 86411500 87078103 88485376 89497625 90291200 90944000 91645568 94192000 94918624 98756000 99517832 100237340 102283000 103817245 104737792 105495040 107648000 110606720 112864000 114556960 118648280 124397290 125296675 126407680 130922240 131868800 138258400 143196200 145344143 148310350 150707200 158009600 160379744 163652800 164836000 166107592 172823000 174156206 176970752 178995250 180582400 181888000 183291136 188384000 189837248 197512000 199035664 200474680 204566000 207634490 209475584 210990080 215296000 221213440 225728000 229113920 237296560 248794580 250593350 252815360 261844480 263737600 276516800 286392400 290688286 296620700 301414400 310993225 316019200 320759488 327305600 329672000 332215184 345646000 348312412 353941504 357990500 360752141 363776000 366582272 370775875 376768000 379674496 395024000 398071328 400949360 409132000 415268980 421980160 435390515 442426880 451456000 458227840 474593120 497589160 501186700 519086225 523688960 527475200 553033600 572784800 581376572 593241400 609546721 621986450 626483375 632038400 641518976 654611200 659344000 664430368 691292000 696624824 715981000 721504282 726720715 733164544 741551750 753536000 759348992 790048000 796142656 801898720 818264000 830537960 870781030 884853760 902912000 916455680 949186240 995178320 1002373400 1038172450 1047377920 1054950400 1106067200 1145569600 1162753144 1186482800 1219093442 1243972900 1252966750 1264076800 1283037952 1309222400 1318688000 1328860736 1382584000 1393249648 1431962000 1443008564 1453441430 1466329088 1483103500 1507072000 1518697984 1554966125 1580096000 1592285312 1603797440 1636528000 1661075920 1741562060 1769707520 1803760705 1832911360 1898372480 1990356640 2004746800 2076344900 2109900800 2176952575 2212134400 2291139200 2325506288 2372965600 2438186884 2487945800 2505933500 2525264987 2566075904 2595431125 2618444800 2637376000 2657721472 2765168000 2786499296 2863924000 2886017128 2906882860 2966207000 3037395968 3047733605 3109932250 3160192000 3184570624 3207594880 3273056000 3322151840 3483124120 3607521410 3633603575 3665822720 3796744960 3980713280 4009493600 4152689800 4353905150 4424268800 4582278400 4651012576 4745931200 4876373768 4975891600 5011867000 5050529974 5132151808 5190862250 5236889600 5274752000 5315442944 5530336000 5572998592 5727848000 5772034256 5813765720 5932414000 6074791936 6095467210 6219864500 6320384000 6369141248 6415189760 6546112000 6644303680 6966248240 7215042820 7267207150 7331645440 7593489920 7961426560 8018987200 8305379600 8707810300 8848537600 9018803525 9164556800 9302025152 9491862400 9752747536 9951783200 10023734000 10101059948 10264303616 10381724500 10461812089 10549504000 10630885888 10884762875 11060672000 11145997184 11455696000 11544068512 11627531440 11864828000 12190934420 12439729000 12626324935 12738282496 12830379520 13092224000 13288607360 13932496480 14430085640 14534414300 15186979840 15238668025 15922853120 16037974400 16610759200 17415620600 17676854909 18037607050 18168017875 18329113600 18604050304 18983724800 19505495072 19903566400 20047468000 20202119896 20763449000 20923624178 21261771776 21769525750 22121344000 22291994368 22911392000 23088137024 23255062880 23729656000 24381868840 24879458000 25252649870 25476564992 25660759040 26184448000 26577214720 27864992960 28860171280 29068828600 30373959680 30477336050 31845706240 32075948800 33221518400 34831241200 35353709818 36075214100 36336035750 36658227200 37208100608 37967449600 39010990144 39807132800 40094936000 40404239792 41526898000 41847248356 42523543552 43539051500 44242688000 44583988736 45094017625 45822784000 46176274048 46510125760 47459312000 48763737680 49758916000 50505299740 51321518080 52309060445 53154429440 55729985920 57720342560 58137657200 60954672100 63131624675 63691412480 64151897600 66443036800 69662482400 70707419636 72150428200 72672071500 73232684623 74416201216 75934899200 76193340125 78021980288 79614265600 80189872000 80808479584 83053796000 83694496712 87078103000 88384274545 89167977472 90188035250 91645568000 92352548096 93020251520 94918624000 97527475360 99517832000 101010599480 104618120890 106308858880 111459971840 115440685120 116275314400 121909344200 126263249350 127382824960 128303795200 132886073600 139324964800 141414839272 144300856400 145344143000 146465369246 148832402432 151869798400 152386680250 156043960576 159228531200 160379744000 161616959168 166107592000 167388993424 174156206000 176768549090 178335954944 180376070500 183291136000 184705096192 186040503040 189837248000 195054950720 199035664000 202021198960 209236241780 212617717760 222919943680 230881370240 232550628800 243818688400 252526498700 256607590400 261545302225 265772147200 278649929600 282829678544 288601712800 290688286000 292930738492 297664804864 304773360500 312087921152 315658123375 318457062400 320759488000 323233918336 332215184000 334777986848 348312412000 353537098180 360752141000 366163423115 369410192384 372081006080 379674496000 390109901440 398071328000 404042397920 418472483560 441921372725 445839887360 461762740480 465101257600 487637376800 505052997400 512628792361 523090604450 531544294400 557299859200 565659357088 577203425600 581376572000 585861476984 609546721000 624175842304 631316246750 636914124800 641518976000 646467836672 664430368000 669555973696 696624824000 707074196360 721504282000 732326846230 738820384768 744162012160 759348992000 780219802880 796142656000 808084795840 836944967120 883842745450 891679774720 923525480960 930202515200 975274753600 1010105994800 1025257584722 1046181208900 1063088588800 1114599718400 1131318714176 1154406851200 1162753144000 1171722953968 1219093442000 1248351684608 1262632493500 1283037952000 1292935673344 1307726511125 1328860736000 1339111947392 1393249648000 1414148392720 1443008564000 1464653692460 1488324024320 1560439605760 1592285312000 1616169591680 1673889934240 1767685490900 1830817115575 1847050961920 1860405030400 1950549507200 2020211989600 2050515169444 2092362417800 2209606863625 2229199436800 2262637428352 2308813702400 2325506288000 2343445907936 2438186884000 2525264987000 2563143961805 2585871346688 2615453022250 2657721472000 2678223894784 2786499296000 2828296785440 2886017128000 2929307384920 3120879211520 3184570624000 3232339183360 3347779868480 3535370981800 3661634231150 3694101923840 3720810060800 3901099014400 4040423979200 4101030338888 4184724835600 4419213727250 4458398873600 4525274856704 4617627404800 4651012576000 4686891815872 4876373768000 5050529974000 5126287923610 5171742693376 5230906044500 5315442944000 5356447789568 5572998592000 5656593570880 5772034256000 5858614769840 6241758423040 6464678366720 6695559736960 7070741963600 7323268462300 7441620121600 7802198028800 8080847958400 8202060677776 8369449671200 8838427454500 9050549713408 9154085577875 9235254809600 9302025152000 9373783631744 9752747536000 10101059948000 10252575847220 10461812089000 10712895579136 11145997184000 11313187141760 11544068512000 11717229539680 12815719809025 12929356733440 13391119473920 14141483927200 14646536924600 15604396057600 16161695916800 16404121355552 16738899342400 17676854909000 18101099426816 18308171155750 18470509619200 18604050304000 18747567263488 19505495072000 20202119896000 20505151694440 20923624178000 21425791158272 22291994368000 22626374283520 23088137024000 23434459079360 25631439618050 25858713466880 26782238947840 28282967854400 29293073849200 31208792115200 32323391833600 32808242711104 33477798684800 35353709818000 36202198853632 36616342311500 37208100608000 37495134526976 39010990144000 40404239792000 41010303388880 41847248356000 45252748567040 46176274048000 46868918158720 51262879236100 53564477895680 56565935708800 58586147698400 64078599045125 64646783667200 65616485422208 66955597369600 70707419636000 73232684623000 74990269053952 78021980288000 80808479584000 82020606777760 83694496712000 90505497134080 92352548096000 93737836317440 102525758472200 107128955791360 113131871417600 117172295396800 128157198090250 129293567334400 131232970844416 133911194739200 141414839272000 146465369246000 149980538107904 156043960576000 161616959168000 164041213555520 167388993424000 181010994268160 187475672634880 205051516944400 226263742835200 234344590793600 256314396180500 262465941688832 267822389478400 282829678544000 292930738492000 323233918336000 328082427111040 334777986848000 374951345269760 410103033888800 452527485670400 468689181587200 512628792361000 524931883377664 535644778956800 565659357088000 585861476984000 646467836672000 656164854222080 669555973696000 749902690539520 820206067777600 905054971340800 937378363174400 1025257584722000 1049863766755328 1131318714176000 1171722953968000 1312329708444160 1339111947392000 1640412135555200 1874756726348800 2050515169444000 2262637428352000 2343445907936000 2624659416888320 2678223894784000 3280824271110400 3749513452697600 4101030338888000 4525274856704000 4686891815872000 5249318833776640 6561648542220800 8202060677776000 9373783631744000 13123297084441600 16404121355552000 18747567263488000 26246594168883200 32808242711104000 65616485422208000 131232970844416000
- Sum of all divisors σ(n): 394644074329830780
- Sum of proper divisors (its aliquot sum) s(n): 263411103485414780
- 131232970844416000 is an abundant number, because the sum of its proper divisors (263411103485414780) is greater than itself. Its abundance is 132178132640998780
Bases of 131232970844416000
- Binary: 1110100100011101110110001000100100000000000101000000000002
- Hexadecimal: 0x1D23BB112002800
- Base-36: ZW67EIXV8XS
Squares and roots of 131232970844416000
- 131232970844416000 squared (1312329708444160002) is 17222092636651339904078381056000000
- 131232970844416000 cubed (1312329708444160003) is 2260106380865496765962298895212866537783296000000000
-
The
square root of 131232970844416000 is 362260915.4248026245 -
The
cube root of 131232970844416000 is 508176.1985721087
Scales and comparisons
How big is 131232970844416000?- 131,232,970,844,416,000 seconds is equal to 4,172,802,542 years, 32 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 131,232,970,844,416,000 would take you about twelve billion, five hundred eighteen million, four hundred seven thousand, six hundred twenty-seven 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 131232970844416000 cubic inches would be around 42348 feet tall.
Recreational maths with 131232970844416000
- 131232970844416000 backwards is 000614448079232131
- The number of decimal digits it has is: 18
- The sum of 131232970844416000's digits is 55
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 131232970844416000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 131232970844416000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/131232970844416000/
Chicago style:
Numbermatics. 2024. "Number 131232970844416000 - Facts about the integer". https://numbermatics.com/n/131232970844416000/
The information we have on file for 131232970844416000 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!
Keywords: Divisors of 131232970844416000, math, Factors of 131232970844416000, curriculum, school, college, exams, university, Prime factorization of 131232970844416000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, two hundred thirty-two trillion, nine hundred seventy billion, eight hundred forty-four million, four hundred sixteen thousand.