131688440729820
131,688,440,729,820 is an even composite number composed of eight prime numbers multiplied together.
131688440729820 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 131688440729820:
22 × 33 × 5 × 132 × 17 × 53 × 1012 × 157
(2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 17 × 53 × 101 × 101 × 157)See below for interesting mathematical facts about the number 131688440729820 from the Numbermatics database.
Names of 131688440729820
- Cardinal: 131688440729820 can be written as One hundred thirty-one trillion, six hundred eighty-eight billion, four hundred forty million, seven hundred twenty-nine thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.3168844072982 × 1014
Factors of 131688440729820
Divisors of 131688440729820
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 27 30 34 36 39 45 51 52 53 54 60 65 68 78 85 90 101 102 106 108 117 130 135 153 156 157 159 169 170 180 195 202 204 212 221 234 255 260 265 270 303 306 314 318 338 340 351 390 404 442 459 468 471 477 505 507 510 530 540 585 606 612 628 636 663 676 689 702 765 780 785 795 845 884 901 909 918 942 954 1010 1014 1020 1060 1105 1170 1212 1313 1326 1378 1404 1413 1431 1515 1521 1530 1570 1590 1690 1717 1755 1802 1818 1836 1884 1908 1989 2020 2028 2041 2067 2210 2295 2340 2355 2385 2535 2626 2652 2669 2703 2727 2756 2826 2862 2873 3030 3042 3060 3140 3180 3315 3380 3434 3445 3510 3604 3636 3939 3978 4082 4134 4239 4420 4505 4545 4563 4590 4710 4770 5070 5151 5252 5338 5353 5406 5454 5652 5724 5746 5967 6060 6084 6123 6201 6565 6630 6868 6890 7020 7065 7155 7605 7878 7956 8007 8109 8164 8268 8321 8478 8585 8619 8957 9010 9090 9126 9180 9420 9540 9945 10140 10201 10205 10302 10335 10676 10706 10812 10908 11492 11713 11817 11934 12246 12402 13130 13260 13345 13515 13635 13780 14130 14310 14365 15210 15453 15756 15857 16014 16059 16218 16642 16956 17069 17170 17238 17914 18020 18180 18252 18369 18603 19695 19890 20402 20410 20604 20670 21195 21412 22321 22815 23426 23634 23868 24021 24327 24492 24804 24963 25755 25857 26260 26533 26690 26765 26871 27030 27270 28260 28620 28730 29835 30420 30603 30615 30906 31005 31714 32028 32118 32436 33284 34138 34340 34476 34697 35139 35451 35828 36738 37206 39390 39780 40035 40545 40804 40820 41340 41605 42390 43095 44642 44785 45630 46359 46852 47268 47571 48042 48177 48654 49926 51005 51207 51510 51714 53066 53380 53530 53742 54060 54540 55107 57460 58565 59085 59670 61206 61230 61812 62010 63428 64236 66963 68276 69394 69589 70278 70902 72063 73476 74412 74889 77265 77571 78780 79285 79599 80070 80295 80613 81090 83210 84780 85345 86190 89284 89570 91001 91260 91809 91845 92718 93015 95142 96084 96354 97308 99852 102010 102414 103020 103428 104091 105417 106132 107060 107484 108173 110214 111605 117130 118170 119340 120105 121635 122412 122460 124020 124815 129285 132613 132665 133926 134355 138788 139178 140556 141457 141804 142713 144126 144531 149778 152269 153015 153621 154530 155142 158570 159198 160140 160590 161226 162180 166420 170690 172380 173417 173485 175695 177255 179140 182002 183618 183690 185436 186030 190284 192708 200889 204020 204828 206141 208182 208767 210834 216346 220428 223210 224667 231795 234260 236340 237855 238797 240210 240885 241839 243270 249630 256035 258570 265226 265330 267852 268710 269569 273003 275427 275535 278356 282914 285426 288252 289062 290173 299556 304538 306030 307242 309060 310284 312273 316251 317140 318396 321180 322452 324519 334815 341380 346834 346970 347945 351390 354510 360315 364004 367236 367380 372060 374445 387855 397839 397995 401778 403065 412282 416364 417534 421668 424371 428139 432692 446420 449334 451061 455005 456807 459045 460863 463590 475710 477594 480420 481770 483678 486540 499260 512070 517140 520251 520455 527085 530452 530660 537420 539138 540653 540865 546006 550854 551070 565828 570852 578124 580346 602667 609076 612060 614484 618423 624546 626301 632502 649038 663065 669630 693668 693940 695890 702780 707285 709020 713565 716391 720630 722655 748890 761345 768105 775710 795678 795990 803556 806130 808707 819009 824564 835068 840421 848742 856278 867085 870519 898668 902122 904657 910010 913614 918090 921726 927180 936819 951420 955188 963540 967356 973557 1004445 1024140 1030705 1040502 1040910 1043835 1054170 1078276 1081306 1081730 1092012 1101708 1102140 1123335 1160692 1183013 1193517 1193985 1205334 1209195 1236846 1249092 1252602 1265004 1273113 1298076 1326130 1339260 1347845 1353183 1365015 1370421 1377135 1391780 1406249 1414570 1427130 1432782 1441260 1445310 1450865 1497780 1522690 1536210 1551420 1560753 1561365 1581255 1591356 1591980 1601557 1612260 1617414 1621959 1622595 1638018 1680842 1697484 1712556 1723969 1734170 1741038 1804244 1809314 1820020 1827228 1836180 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126158292 126512802 126562410 127765404 128584413 131105676 135265260 136132345 136671483 137866515 138412521 140569780 142031149 142871570 143437398 144140130 144710982 145567260 145976310 146537365 151275780 151874892 153791690 155157210 156693420 157697865 159706755 160789980 162838260 163358814 163882095 165439818 165504690 169765042 171445884 172968156 175844838 182228644 182740714 183822020 184550028 185733041 186188652 187382169 189237438 189769203 189843615 196658514 198605628 202897890 208202410 210263820 210854670 212942340 214307355 215156097 216210195 218509460 226913670 227785805 230687535 232735815 238968626 239062330 241184970 243477468 243572940 244257390 245038221 248159727 248257035 249842892 253025604 253124820 254647563 257168826 263767257 270663133 272264690 273342966 274111071 275733030 276825042 284062298 285743140 286874796 288280260 289421964 291952620 293074730 294987771 304346835 307583380 310314420 312303615 315395730 316282005 319413510 326717628 327764190 330879636 331009380 339530084 351689676 353944097 358452939 358593495 361777455 365481428 371466082 374764338 378474876 379538406 379687230 385753239 393317028 405795780 408397035 410014449 413599545 415237563 416404820 421709340 424412605 426093447 428614710 430312194 432420390 439612095 453827340 455571610 456851785 461375070 465471630 473093595 477937252 478124660 482369940 488514780 490076442 491646285 496319454 496514070 509295126 514337652 527534514 541326266 544529380 546685932 548222142 551466060 553650084 557199123 562146507 568124596 586149460 589975542 597421565 608693670 624607230 630791460 632564010 638827020 642922065 645468291 655528380 683357415 692062605 707888194 710155745 716905878 717186990 723554910 735114663 742932164 749528676 759076812 759374460 763942689 771506478 791301771 811989399 816794070 820028898 822333213 827199090 830475126 848825210 852186894 857229420 860624388 864840780 879224190 911143220 913703570 922750140 928665205 930943260 936910845 946187190 948846015 980152884 983292570 992638908 993028140 1018590252 1055069028 1061832291 1075358817 1075780485 1082652532 1096444284 1103472773 1114398246 1124293014 1179951084 1194843130 1217387340 1225191105 1230043347 1240798635 1249214460 1265128020 1273237815 1278280341 1285844130 1290936582 1318836285 1353315665 1366714830 1370555355 1384125210 1415776388 1420311490 1433811756 1434373980 1443002857 1447109820 1470229326 1474938855 1527885378 1543012956 1553296069 1582603542 1623978798 1633588140 1640057796 1644666426 1654398180 1660950252 1671597369 1697650420 1704373788 1758448380 1769720485 1792264695 1827407140 1857330410 1873821690 1892374380 1897692030 1928766195 1966585140 2050072245 2076187815 2123664582 2130467235 2150717634 2151560970 2206945546 2228796492 2248586028 2291828067 2389686260 2414529533 2435968197 2450382210 2460086694 2466999639 2481597270 2546475630 2556560682 2571688260 2581873164 2637672570 2706631330 2733429660 2741110710 2768250420 2785995615 2810732535 2840622980 2886005714 2940458652 2949877710 3055770756 3106592138 3165207084 3185496873 3226076451 3227341455 3247957596 3289332852 3310418319 3343194738 3539440970 3584529390 3675573315 3714660820 3747643380 3795384060 3819713445 3834841023 3857532390 3956508855 4059946995 4100144490 4111666065 4152375630 4247329164 4260934470 4301435268 4303121940 4329008571 4413891092 4583656134 4601273261 4659888207 4829059066 4871936394 4900764420 4920173388 4933999278 4963194540 5014792107 5092951260 5113121364 5275345140 5309161455 5376794085 5413262660 5482221420 5517363865 5571991230 5621465070 5772011428 5899755420 6150216735 6213184276 6370993746 6391401705 6452152902 6454682910 6620836638 6686389476 7078881940 7169058780 7215014285 7243588599 7307904591 7351146630 7639426890 7669682046 7715064780 7766480345 7913017710 8119893990 8200288980 8223332130 8304751260 8357986845 8521868940 8658017142 9167312268 9202546522 9319776414 9556490619 9658118132 9743872788 9867998556 9931254957 10029584214 10618322910 10753588170 11034727730 11143982460 11242930140 11459140335 12072647665 12179840985 12300433470 12334998195 12741987492 12782803410 12904305804 12909365820 12987025713 13241673276 13803819783 13979664621 14345146049 14430028570 14487177198 14615809182 14702293260 15278853780 15339364092 15532960690 15826035420 15927484365 16130382255 16239787980 16446664260 16552091595 16715973690 17316034284 18405093044 18639552828 18759037141 19112981238 19174205115 19862509914 20059168428 21236645820 21507176340 21645042855 21730765797 22069455460 22918280670 23006366305 23299441035 24145295330 24359681970 24600866940 24669996390 25073960535 25565606820 25974051426 27607639566 27959329242 28690292098 28860057140 28974354396 29231618364 29793764871 31065921380 31854968730 32260764510 33104183190 33431947380 36217942995 36539522955 37518074282 38225962476 38348410230 38961077139 39725019828 41411459349 41938993863 43035438147 43290085710 43461531594 45836561340 46012732610 46598882070 47782453095 48290590660 48719363940 49339992780 49656274785 50147921070 51948102852 55215279132 55918658484 56277111423 57380584196 59587529742 63709937460 64521529020 64935128565 65192297391 66208366380 69019098915 69898323105 71725730245 72435885990 73079045910 75036148564 76696820460 77922154278 82822918698 83877987726 86070876294 86580171420 86923063188 92025465220 93197764140 93795185705 95564906190 99312549570 100295842140 108653828985 112554222846 119175059484 124234378047 129106314441 129870257130 130384594782 138038197830 139796646210 143451460490 144871771980 146158091820 148968824355 155844308556 165645837396 167755975452 168831334269 172141752588 187590371410 191129812380 194805385695 198625099140 207057296745 209694969315 215177190735 217307657970 225108445692 243867482833 248468756094 258212628882 259740514260 260769189564 276076395660 279593292420 281385557115 286902920980 297937648710 325961486955 337662668538 375180742820 387318943323 389610771390 414114593490 419389938630 430354381470 434615315940 487734965666 496937512188 506494002807 516425257764 562771114230 595875297420 621171890235 645531572205 651922973910 675325337076 731602448499 774637886646 779221542780 828229186980 838779877260 844156671345 860708762940 975469931332 1012988005614 1125542228460 1219337414165 1242343780470 1291063144410 1303845947820 1463204896998 1549275773292 1688313342690 1936594716615 2025976011228 2194807345497 2438674828330 2484687560940 2532470014035 2582126288820 2926409793996 3376626685380 3658012242495 3873189433230 4389614690994 4877349656660 5064940028070 6584422036491 7316024484990 7746378866460 8779229381988 10129880056140 10974036727485 13168844072982 14632048969980 21948073454970 26337688145964 32922110182455 43896146909940 65844220364910 131688440729820
- Sum of all divisors σ(n): 486460322248320
- Sum of proper divisors (its aliquot sum) s(n): 354771881518500
- 131688440729820 is an abundant number, because the sum of its proper divisors (354771881518500) is greater than itself. Its abundance is 223083440788680
Bases of 131688440729820
- Binary: 111011111000101000110101011101100010000110111002
- Hexadecimal: 0x77C51ABB10DC
- Base-36: 1AOGU1IKF0
Squares and roots of 131688440729820
- 131688440729820 squared (1316884407298202) is 17341845421851315094237232400
- 131688440729820 cubed (1316884407298203) is 2283720582981167222484080906749672950168000
-
The
square root of 131688440729820 is 11475558.4060131905 -
The
cube root of 131688440729820 is 50876.3428274943
Scales and comparisons
How big is 131688440729820?- 131,688,440,729,820 seconds is equal to 4,187,285 years, 3 weeks, 6 days, 16 hours, 57 minutes.
-
To count from 1 to 131,688,440,729,820 would take you about ten million, four hundred sixty-eight thousand, two hundred twelve 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 131688440729820 cubic inches would be around 4239.7 feet tall.
Recreational maths with 131688440729820
- 131688440729820 backwards is 028927044886131
- The number of decimal digits it has is: 15
- The sum of 131688440729820's digits is 63
- More coming soon!
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"Number 131688440729820 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 131688440729820 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/131688440729820/
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The information we have on file for 131688440729820 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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