132661738868400
132,661,738,868,400 is an even composite number composed of eight prime numbers multiplied together.
132661738868400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 132661738868400:
24 × 32 × 52 × 7 × 292 × 61 × 89 × 1153
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 29 × 29 × 61 × 89 × 1153)See below for interesting mathematical facts about the number 132661738868400 from the Numbermatics database.
Names of 132661738868400
- Cardinal: 132661738868400 can be written as One hundred thirty-two trillion, six hundred sixty-one billion, seven hundred thirty-eight million, eight hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.326617388684 × 1014
Factors of 132661738868400
Divisors of 132661738868400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 35 36 40 42 45 48 50 56 58 60 61 63 70 72 75 80 84 87 89 90 100 105 112 116 120 122 126 140 144 145 150 168 174 175 178 180 183 200 203 210 225 232 240 244 252 261 267 280 290 300 305 315 336 348 350 356 360 366 400 406 420 427 435 445 450 464 488 504 522 525 534 549 560 580 600 609 610 623 630 696 700 712 720 725 732 801 812 840 841 854 870 890 900 915 976 1008 1015 1044 1050 1068 1098 1153 1160 1200 1218 1220 1246 1260 1281 1305 1335 1392 1400 1424 1450 1464 1525 1575 1602 1624 1680 1682 1708 1740 1769 1780 1800 1827 1830 1869 2030 2088 2100 2135 2136 2175 2196 2225 2306 2320 2436 2440 2492 2520 2523 2562 2581 2610 2670 2745 2800 2900 2928 3045 3050 3115 3150 3204 3248 3364 3416 3459 3480 3538 3560 3600 3654 3660 3738 3843 4005 4060 4176 4200 4205 4270 4272 4350 4392 4450 4575 4612 4872 4880 4984 5040 5046 5075 5124 5162 5220 5307 5340 5429 5490 5607 5765 5800 5887 6090 6100 6230 6300 6405 6408 6525 6675 6728 6832 6918 6960 7076 7120 7308 7320 7476 7569 7686 7743 8010 8071 8120 8400 8410 8540 8700 8784 8845 8900 9135 9150 9224 9345 9744 9968 10092 10150 10248 10324 10377 10440 10614 10675 10680 10858 10980 11214 11530 11600 11774 12180 12200 12383 12460 12600 12615 12810 12816 12905 13050 13350 13456 13725 13836 14152 14616 14640 14952 15138 15225 15372 15486 15575 15921 16020 16142 16240 16287 16820 17080 17295 17400 17661 17690 17800 18067 18270 18300 18448 18690 19215 20025 20184 20300 20496 20648 20754 20880 21025 21228 21350 21360 21716 21960 22428 23060 23229 23548 24213 24360 24400 24766 24920 25200 25230 25620 25810 26100 26535 26700 27145 27450 27672 28035 28304 28825 29232 29435 29904 30276 30450 30744 30972 31150 31842 32025 32040 32284 32574 33437 33640 34160 34590 34800 35322 35380 35600 36134 36540 36600 37149 37380 37845 38003 38430 38715 40050 40355 40368 40600 41296 41508 42050 42456 42700 43432 43920 44225 44856 45675 46120 46458 46725 47096 48426 48720 48861 49532 49840 50460 51240 51301 51620 51885 52200 52983 53070 53400 54201 54290 54900 55344 56070 57650 58870 60552 60900 61488 61915 61944 62300 63075 63684 64050 64080 64525 64568 65148 66874 67280 69180 70333 70644 70760 72268 72639 73080 73200 74298 74760 74849 75690 76006 76860 77430 79605 80100 80710 81200 81435 83016 84100 84912 85400 86475 86864 88305 88450 89712 90335 91350 92240 92916 93450 94192 96075 96852 97722 99064 100311 100920 102480 102602 102617 103240 103770 104400 105966 106140 106800 108402 108580 109800 111447 112140 114009 115300 116145 117740 121065 121104 121800 123830 123888 124600 126150 127368 128100 129050 129136 130296 132675 133748 135725 138360 140175 140666 141288 141520 144536 145278 146160 147175 148596 149520 149698 151380 152012 153720 153903 154860 157441 159210 160200 161420 162603 162870 166032 167185 168200 170800 172950 176610 176900 180670 182700 185745 185832 186900 189225 190015 192150 193575 193704 195444 198128 200622 201775 201840 205204 205234 206480 207540 210999 211932 212280 216804 217160 219600 222894 224280 224547 228018 230600 232290 234059 235480 242130 243600 244305 247660 249200 252300 254736 256200 256505 258100 259425 260592 264915 265350 267496 271005 271450 276720 280350 281332 282576 289072 290556 294350 297192 299396 300933 302760 304024 307440 307806 307851 309575 309720 314882 318420 320400 322840 325206 325740 334370 336400 342027 345900 351665 353220 353800 359107 361340 363195 365400 371490 371664 373800 374245 378450 380030 384300 387150 387408 390888 398025 401244 403550 407175 410408 410468 415080 421998 423864 424560 433608 434320 441525 445788 448560 449094 451675 456036 461200 461709 464580 468118 470960 472323 484260 488610 492331 495320 501555 504600 512400 513010 513085 516200 518850 523943 529830 530700 534992 542010 542900 557235 560700 562664 570045 580725 581112 588700 594384 598792 601866 605325 605520 608048 615612 615702 619150 619440 629764 632997 636840 645680 650412 651480 668740 673641 684054 691800 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280870800 281683665 283393800 285551980 287327600 287644707 290901900 293710608 295398600 295750265 297589300 300462576 305446995 305948550 312468765 312981850 314365800 319605230 323196300 323243550 325810128 328736808 330626100 333300016 339385550 342434175 342662376 345203588 349082280 350539672 354478320 354900318 356939975 357107160 363058946 365263120 367138260 369421200 374962518 375578220 377238960 383526276 387869200 394357131 396751320 407262660 407931400 410921010 414050371 416625020 421306200 428327970 428528592 430928400 430991400 431504485 436352850 438174590 440834800 443097900 446383950 450693864 456578900 458922825 469472775 471548700 473200424 479407845 488715192 489517680 495939150 499950024 500770960 509078325 511368368 513993564 517189680 517805382 520781275 525809508 532350477 535660740 543016880 544588419 547894680 563367330 566787600 571103960 575289414 581803800 590797200 591500530 595178600 604106279 610893990 611897100 624937530 625963700 628731600 639210460 642491955 646392600 646487100 657261885 657473616 661252200 669575925 678771100 684868350 685324752 690407176 698164560 701079344 709800636 713879950 714214320 726117892 734276520 749925036 751156440 767052552 776708073 788714262 793502640 799013075 814525320 815862800 821842020 828100742 833250040 842612400 856655940 861982800 863008970 872705700 876349180 886195800 887250795 892767900 901387728 907647365 913157800 917845650 937406295 938945550 943097400 946400848 958815690 977430384 991878300 999900048 1018156650 1027302525 1027987128 1035610764 1041562550 1051619016 1064700954 1070819925 1071321480 1089176838 1095436475 1095789360 1126734660 1142207920 1150578828 1163607600 1183001060 1190357200 1208212558 1221787980 1223794200 1242151113 1249875060 1251927400 1270706311 1278420920 1284983910 1292785200 1292974200 1294513455 1314523770 1322504400 1339151850 1357542200 1369736700 1380814352 1408418325 1419601272 1427759900 1438223535 1452235784 1468553040 1478751325 1499850072 1502312880 1527234975 1534105104 1553416146 1562343825 1577428524 1598026150 1629050640 1633765257 1643684040 1656201484 1666500080 1713311880 1726017940 1745411400 1752698360 1772391600 1774501590 1785535800 1812318837 1815294730 1826315600 1835691300 1874812590 1877891100 1886194800 1917631380 1971785655 1983756600 2036313300 2054605050 2055974256 2070251855 2071221528 2083125100 2103238032 2129401908 2141639850 2142642960 2157522425 2178353676 2190872950 2253469320 2301157656 2366002120 2397039225 2416425116 2443575960 2447588400 2484302226 2499750120 2503854800 2541412622 2556841840 2569967820 2585948400 2589026910 2629047540 2661752385 2678303700 2715084400 2722942095 2739473400 2816836650 2839202544 2855519800 2876447070 2904471568 2957502650 2999700144 3020531395 3054469950 3106832292 3124687650 3154857048 3196052300 3212459775 3267530514 3286309425 3287368080 3312402968 3426623760 3452035880 3490822800 3505396720 3549003180 3571071600 3624637674 3630589460 3671382600 3726453339 3749625180 3755782200 3812118933 3835262760 3883540365 3943571310 3967513200 4072626600 4109210100 4140503710 4142443056 4166250200 4258803816 4283279700 4315044850 4356707352 4381745900 4436253975 4506938640 4538236825 4602315312 4687031475 4732004240 4794078450 4832850232 4887151920 4968604452 4999500240 5082825244 5139935640 5178053820 5258095080 5264354717 5323504770 5356607400 5436956511 5445884190 5478946800 5633673300 5711039600 5752894140 5915005300 6041062790 6108939900 6210755565 6213664584 6249375300 6309714096 6353531555 6392104600 6424919550 6472567275 6535061028 6572618850 6624805936 6904071760 7098006360 7191117675 7249275348 7261178920 7342765200 7452906678 7499250360 7511564400 7624237866 7670525520 7767080730 7887142620 8145253200 8168826285 8218420200 8281007420 8332500400 8517607632 8566559400 8630089700 8713414704 8763491800 8872507950 9061594185 9076473650 9374062950 9588156900 9665700464 9858928275 9937208904 10165650488 10279871280 10351259275 10356107640 10516190160 10528709434 10647009540 10713214800 10873913022 10891768380 11267346600 11436356799 11505788280 11830010600 12082125580 12217879800 12421511130 12427329168 12498750600 12707063110 12784209200 12849839100 12945134550 13070122056 13145237700 13308761925 13614710475 14196012720 14382235350 14498550696 14522357840 14905813356 14998500720 15102656975 15248475732 15534161460 15774285240 15793064151 16337652570 16436840400 16562014840 17133118800 17260179400 17526983600 17745015900 18123188370 18152947300 18632266695 18748125900 19060594665 19176313800 19417701825 19717856550 19874417808 20331300976 20702518550 20712215280 21057418868 21294019080 21747826044 21783536760 22534693200 22872713598 23011576560 23660021200 24164251160 24435759600 24843022260 24997501200 25414126220 25699678200 25890269100 26140244112 26290475400 26321773585 26617523850 27184782555 27229420950 28764470700 28997101392 29811626712 30205313950 30496951464 31053777825 31068322920 31548570480 31586128302 31767657775 32675305140 33124029680 34520358800 35490031800 36246376740 36305894600 36850483019 37264533390 37496251800 38121189330 38352627600 38835403650 39435713100 40844131425 41405037100 42114837736 42588038160 43495652088 43567073520 45307970925 45745427196 47379192453 48328502320 49686044520 50828252440 51399356400 51780538200 52580950800 52643547170 53235047700 54369565110 54458841900 57181783995 57528941400 59623253424 60410627900 60993902928 62107555650 62136645840 63172256604 63535315550 65350610280 70980063600 72492753480 72611789200 73700966038 74529066780 74992503600 76242378660 77670807300 78871426200 78965320755 81688262850 82810074200 84229675472 86991304176 90615941850 91490854392 93161333475 94758384906 95302973325 99372089040 101656504880 103561076400 105287094340 106470095400 108739130220 108917683800 110551449057 114363567990 115057882800 120821255800 124215111300 126344513208 127070631100 130701220560 131608867925 135923912775 144985506960 147401932076 149058133560 152484757320 155341614600 157742852400 157930641510 163376525700 165620148400 181231883700 182981708784 184252415095 186322666950 189516769812 190605946650 210574188680 212940190800 217478260440 217835367600 221102898114 228727135980 236895962265 241642511600 248430222600 252689026416 254141262200 263217735850 271847825550 285908919975 294803864152 298116267120 304969514640 310683229200 315861283020 326753051400 331654347171 362463767400 368504830190 372645333900 379033539624 381211893300 394826603775 421148377360 434956520880 442205796228 457454271960 473791924530 496860445200 508282524400 526435471700 543695651100 552757245285 571817839950 589607728304 631722566040 653506102800 663308694342 724927534800 737009660380 745290667800 758067079248 762423786600 789653207550 884411592456 914908543920 921262075475 947583849060 1052870943400 1087391302200 1105514490570 1143635679900 1184479811325 1263445132080 1326617388684 1474019320760 1490581335600 1524847573200 1579306415100 1658271735855 1768823184912 1842524150950 1895167698120 2105741886800 2174782604400 2211028981140 2287271359800 2368959622650 2653234777368 2763786226425 2948038641520 3158612830200 3316543471710 3685048301900 3790335396240 4422057962280 4574542719600 4737919245300 5306469554736 5527572452850 6317225660400 6633086943420 7370096603800 8291358679275 8844115924560 9475838490600 11055144905700 13266173886840 14740193207600 16582717358550 18951676981200 22110289811400 26532347773680 33165434717100 44220579622800 66330869434200 132661738868400
- Sum of all divisors σ(n): 560550687727680
- Sum of proper divisors (its aliquot sum) s(n): 427888948859280
- 132661738868400 is an abundant number, because the sum of its proper divisors (427888948859280) is greater than itself. Its abundance is 295227209990880
Bases of 132661738868400
- Binary: 111100010100111101101111101001000001110101100002
- Hexadecimal: 0x78A7B7D20EB0
- Base-36: 1B0VYM3IK0
Squares and roots of 132661738868400
- 132661738868400 squared (1326617388684002) is 17599136959587551312518560000
- 132661738868400 cubed (1326617388684003) is 2334732111642010855988722886648397504000000
-
The
square root of 132661738868400 is 11517887.7780780621 -
The
cube root of 132661738868400 is 51001.3762115369
Scales and comparisons
How big is 132661738868400?- 132,661,738,868,400 seconds is equal to 4,218,232 years, 49 weeks, 1 day, 11 hours.
-
To count from 1 to 132,661,738,868,400 would take you about ten million, five hundred forty-five thousand, five hundred eighty-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 132661738868400 cubic inches would be around 4250.1 feet tall.
Recreational maths with 132661738868400
- 132661738868400 backwards is 004868837166231
- 132661738868400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132661738868400's digits is 63
- More coming soon!
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MLA style:
"Number 132661738868400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 132661738868400 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/132661738868400/
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Numbermatics. 2024. "Number 132661738868400 - Facts about the integer". https://numbermatics.com/n/132661738868400/
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