132142671861200
132,142,671,861,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132142671861200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
132142671861200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 132142671861200:
24 × 52 × 7 × 113 × 13 × 612 × 733
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 11 × 13 × 61 × 61 × 733)See below for interesting mathematical facts about the number 132142671861200 from the Numbermatics database.
Names of 132142671861200
- Cardinal: 132142671861200 can be written as One hundred thirty-two trillion, one hundred forty-two billion, six hundred seventy-one million, eight hundred sixty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.321426718612 × 1014
Factors of 132142671861200
Divisors of 132142671861200
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 35 40 44 50 52 55 56 61 65 70 77 80 88 91 100 104 110 112 121 122 130 140 143 154 175 176 182 200 208 220 242 244 260 275 280 286 305 308 325 350 364 385 400 427 440 455 484 488 520 550 560 572 605 610 616 650 671 700 715 728 733 770 793 847 854 880 910 968 976 1001 1040 1100 1144 1210 1220 1232 1300 1331 1342 1400 1430 1456 1466 1525 1540 1573 1586 1694 1708 1820 1925 1936 2002 2135 2200 2275 2288 2420 2440 2600 2662 2684 2800 2860 2932 3025 3050 3080 3146 3172 3355 3388 3416 3575 3640 3665 3721 3850 3965 4004 4235 4270 4400 4550 4697 4840 4880 5005 5131 5200 5324 5368 5551 5720 5864 6050 6100 6160 6292 6344 6655 6710 6776 6832 7150 7280 7330 7381 7442 7700 7865 7930 8008 8063 8470 8540 8723 9100 9317 9394 9529 9680 10010 10262 10648 10675 10736 11011 11102 11440 11728 12100 12200 12584 12688 13310 13420 13552 14300 14660 14762 14884 15400 15730 15860 16016 16126 16775 16940 17080 17303 17446 18200 18325 18605 18634 18788 19058 19825 20020 20524 21175 21296 21350 22022 22204 23485 24200 24400 25025 25168 25655 26047 26620 26840 27755 28600 29320 29524 29768 30800 31460 31720 32252 33275 33550 33880 34160 34606 34892 36400 36650 36905 37210 37268 37576 38116 39325 39650 40040 40315 40931 41048 42350 42700 43615 44044 44408 44713 46585 46970 47645 48373 48400 50050 51310 51667 52094 53240 53680 55055 55510 56441 57200 58640 59048 59536 61061 62920 63440 64504 66550 66703 67100 67760 69212 69784 73300 73810 74420 74536 75152 76232 78650 79300 80080 80630 81191 81862 82096 84700 85400 86515 87230 88088 88693 88816 89426 93025 93170 93940 95290 95953 96746 100100 102620 103334 104188 104819 106480 110110 111020 112882 117425 118096 121121 122122 125840 128275 129008 130235 133100 133406 134200 138424 138775 139568 146600 147620 148840 149072 152464 157300 158600 161260 162382 163724 169400 170800 173030 174460 176176 177386 178852 184525 186050 186340 187880 190580 191906 193492 200200 201575 204655 205240 206668 208376 209638 218075 220220 222040 223565 225764 232925 234850 238225 241865 242242 244244 256550 258335 260470 266200 266812 268400 275275 276848 277550 282205 286517 293200 295240 297680 305305 312991 314600 317200 322520 324764 327448 333515 338611 338800 346060 348920 354772 357704 369050 372100 372680 375760 381160 383812 386984 400400 403150 405955 409310 410480 413336 416752 419276 432575 436150 440440 443465 444080 447130 450241 451528 465850 469700 476450 479765 483730 484484 488488 491843 513100 516670 520940 524095 532103 532400 533624 550550 555100 564410 568337 573034 581269 590480 605605 610610 620851 625982 629200 645040 649528 651175 654896 667030 671671 677222 692120 697840 709544 715408 733733 738100 744200 745360 762320 767624 773968 806300 811910 818620 826672 838552 865150 872300 880880 886930 894260 900482 903056 931700 939400 952900 959530 967460 968968 975623 976976 983686 1023275 1026200 1033340 1041880 1048190 1055483 1064206 1067248 1101100 1110200 1117825 1128820 1136674 1146068 1153009 1162538 1209325 1211210 1221220 1241702 1251964 1291675 1299056 1302350 1334060 1343342 1354444 1384240 1411025 1419088 1432585 1467466 1476200 1488400 1526525 1535248 1564955 1612600 1623820 1637240 1667575 1677104 1693055 1730300 1744600 1773860 1788520 1800964 1863400 1878800 1905800 1919060 1934920 1937936 1951246 1967372 2029775 2046550 2052400 2066680 2083760 2096380 2110966 2128412 2202200 2217325 2220400 2235650 2251205 2257640 2273348 2292136 2306018 2325076 2398825 2418650 2422420 2442440 2459215 2483404 2503928 2583350 2604700 2620475 2660515 2668120 2686684 2708888 2727493 2822050 2841685 2865170 2906345 2934932 2952400 3028025 3053050 3104255 3129910 3151687 3225200 3247640 3274480 3335150 3358355 3386110 3442901 3460600 3489200 3547720 3577040 3601928 3668665 3724721 3726800 3811600 3838120 3869840 3902492 3934744 4059550 4068883 4093100 4133360 4192760 4221932 4256824 4404400 4434650 4471300 4502410 4515280 4546696 4584272 4612036 4650152 4797650 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198106040 201776575 202929584 203444150 204859655 210016961 211096600 212841200 216410920 218199440 223788565 227334800 230601800 232507600 234125320 238052012 240019384 247632550 248201863 248340400 252134960 253661980 255758360 257537852 268668400 270513650 272749300 273174440 275432080 277348456 281334196 283659272 292656650 293493200 295535240 297565015 297977680 300024230 302975288 305479216 315168700 317077475 319697950 321922315 322842520 325510640 327775448 330026653 341468050 344290100 346685570 351667745 354574090 355126772 358061704 369419050 372472100 378719110 381849020 390031499 390249200 396212080 403553150 406888300 409719310 416591021 420033922 422193200 432821840 443908465 447577130 450691241 461203600 468250640 476104024 477311275 480038768 492334843 495265100 496403726 507323960 511516720 515075704 541027300 545498600 546348880 554696912 562668392 567318544 585313300 591070480 595130030 600048460 605950576 630337400 634154950 639395900 643844630 645685040 655550896 660053306 682936100 688580200 693371140 703335490 709148180 710253544 716123408 738838100 744944200 750060575 757438220 763698040 773669039 780062998 807106300 813776600 819438620 833182042 840067844 866713925 886435225 887816930 895154260 901382482 946797775 952208048 954622550 984669686 990530200 992807452 1014647920 1024298275 1030151408 1050084805 1082054600 1090997200 1118942825 1125336784 1170626600 1190260060 1200096920 1241009315 1260674800 1268309900 1278791800 1287689260 1320106612 1365872200 1377160400 1386742280 1406670980 1418296360 1420507088 1477676200 1487825075 1489888400 1500121150 1514876440 1527396080 1547338078 1560125996 1609611575 1614212600 1627553200 1638877240 1650133265 1666364084 1680135688 1733427850 1758338725 1772870450 1775633860 1790308520 1802764964 1893595550 1909245100 1950157495 1969339372 1981060400 1985614904 2048596550 2082955105 2100169610 2164109200 2219542325 2237885650 2253456205 2310186571 2341253200 2380520120 2400193840 2461674215 2482018630 2536619800 2557583600 2575378520 2640213224 2730220493 2731744400 2773484560 2813341960 2836592720 2955352400 2975650150 3000242300 3029752880 3094676156 3120251992 3219223150 3228425200 3277754480 3300266530 3332728168 3360271376 3466855700 3516677450 3545740900 3551267720 3580617040 3605529928 3630293183 3787191100 3818490200 3868345195 3900314990 3938678744 3971229808 4097193100 4165910210 4200339220 4290346489 4439084650 4475771300 4506912410 4620373142 4761040240 4923348430 4964037260 5073239600 5150757040 5250424025 5280426448 5415683273 5460440986 5626683920 5951300300 6000484600 6189352312 6205046575 6240503984 6438446300 6600533060 6665456336 6933711400 7033354900 7091481800 7102535440 7211059856 7260586366 7574382200 7636980400 7736690390 7800629980 7877357488 8194386200 8250666325 8331820420 8400678440 8580692978 8878169300 8951542600 9013824820 9240746284 9750787475 9846696860 9928074520 10414775525 10500848050 10831366546 10920881972 11267281025 11550932855 11902600600 12000969200 12308371075 12378704624 12410093150 12876892600 13201066120 13651102465 13867422800 14066709800 14182963600 14521172732 15148764400 15473380780 15601259960 16388772400 16501332650 16663640840 16801356880 17161385956 17756338600 17903085200 18027649640 18151465915 18481492568 19341725975 19501574950 19693393720 19856149040 20829551050 21001696100 21451732445 21662733092 21841763944 22534562050 23101865710 23805201200 24616742150 24820186300 25412052281 25753785200 26402132240 27078416365 27302204930 28133419600 29042345464 30032425423 30946761560 31202519920 33002665300 33327281680 34322771912 35512677200 36055299280 36302931830 36962985136 38683451950 39003149900 39386787440 41659102100 42003392200 42903464890 43325466184 43683527888 45069124100 46203731420 47193811379 49233484300 49640372600 50824104562 54156832730 54604409860 57754664275 58084690928 60064850846 61893523120 66005330600 68255512325 68645543824 72605863660 77366903900 78006299800 83318204200 84006784400 85806929780 86650932368 90138248200 90757329575 92407462840 94387622758 98466968600 99280745200 101648209124 107258662225 108313665460 109208819720 115509328550 120129701692 127060261405 132010661200 135392081825 136511024650 145211727320 150162127115 154733807800 156012599600 166636408400 171613859560 180276496400 181514659150 184814925680 188775245516 196933937200 203296418248 214517324450 216627330920 218417639440 231018657100 235969056895 240259403384 254120522810 270784163650 273022049300 290423454640 300324254230 309467615600 330356679653 343227719120 363029318300 377550491032 406592836496 429034648900 433254661840 462037314200 471938113790 480518806768 508241045620 541568327300 546044098600 600648508460 635301307025 660713359306 726058636600 750810635575 755100982064 858069297800 924074628400 943876227580 1016482091240 1083136654600 1092088197200 1179845284475 1201297016920 1270602614050 1321426718612 1452117273200 1501621271150 1651783398265 1716138595600 1887752455160 2032964182480 2166273309200 2359690568950 2402594033840 2541205228100 2642853437224 3003242542300 3303566796530 3775504910320 4719381137900 5082410456200 5285706874448 6006485084600 6607133593060 8258916991325 9438762275800 10164820912400 12012970169200 13214267186120 16517833982650 18877524551600 26428534372240 33035667965300 66071335930600 132142671861200
- Sum of all divisors σ(n): 437537104333056
- Sum of proper divisors (its aliquot sum) s(n): 305394432471856
- 132142671861200 is an abundant number, because the sum of its proper divisors (305394432471856) is greater than itself. Its abundance is 173251760610656
Bases of 132142671861200
- Binary: 111100000101110110111010000010000010101110100002
- Hexadecimal: 0x782EDD0415D0
- Base-36: 1AU9I704I8
Squares and roots of 132142671861200
- 132142671861200 squared (1321426718612002) is 17461685726616778272065440000
- 132142671861200 cubed (1321426718612003) is 2307433807115720622047861376292996928000000
-
The
square root of 132142671861200 is 11495332.6120299799 -
The
cube root of 132142671861200 is 50934.7713903229
Scales and comparisons
How big is 132142671861200?- 132,142,671,861,200 seconds is equal to 4,201,728 years, 11 weeks, 3 days, 11 hours, 13 minutes, 20 seconds.
-
To count from 1 to 132,142,671,861,200 would take you about ten million, five hundred four thousand, three hundred twenty 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 132142671861200 cubic inches would be around 4244.6 feet tall.
Recreational maths with 132142671861200
- 132142671861200 backwards is 002168176241231
- 132142671861200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132142671861200's digits is 44
- More coming soon!
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The information we have on file for 132142671861200 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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