132125320800
132,125,320,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 132125320800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
132125320800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 132125320800:
25 × 35 × 52 × 112 × 41 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 41 × 137)See below for interesting mathematical facts about the number 132125320800 from the Numbermatics database.
Names of 132125320800
- Cardinal: 132125320800 can be written as One hundred thirty-two billion, one hundred twenty-five million, three hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.321253208 × 1011
Factors of 132125320800
Divisors of 132125320800
- Number of divisors d(n): 1296
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 41 44 45 48 50 54 55 60 66 72 75 80 81 82 88 90 96 99 100 108 110 120 121 123 132 135 137 144 150 160 162 164 165 176 180 198 200 205 216 220 225 240 242 243 246 264 270 274 275 288 297 300 324 328 330 352 360 363 369 396 400 405 410 411 432 440 450 451 480 484 486 492 495 528 540 548 550 594 600 605 615 648 656 660 675 685 720 726 738 792 800 810 820 822 825 864 880 891 900 902 968 972 984 990 1025 1056 1080 1089 1096 1100 1107 1188 1200 1210 1215 1230 1233 1296 1312 1320 1350 1353 1370 1440 1452 1476 1485 1507 1584 1620 1640 1644 1650 1760 1782 1800 1804 1815 1845 1936 1944 1968 1980 2025 2050 2055 2160 2178 2192 2200 2214 2255 2376 2400 2420 2430 2460 2466 2475 2592 2640 2673 2700 2706 2740 2904 2952 2970 3014 3025 3075 3168 3240 3267 3280 3288 3300 3321 3425 3564 3600 3608 3630 3690 3699 3872 3888 3936 3960 4050 4059 4100 4110 4320 4356 4384 4400 4428 4455 4510 4521 4752 4840 4860 4920 4932 4950 4961 5280 5346 5400 5412 5445 5480 5535 5617 5808 5904 5940 6028 6050 6075 6150 6165 6480 6534 6560 6576 6600 6642 6765 6850 7128 7200 7216 7260 7380 7398 7425 7535 7776 7920 8100 8118 8200 8220 8712 8800 8856 8910 9020 9042 9075 9225 9504 9680 9720 9801 9840 9864 9900 9922 9963 10275 10692 10800 10824 10890 10960 11070 11097 11234 11275 11616 11808 11880 12056 12100 12150 12177 12300 12330 12960 13068 13152 13200 13284 13365 13530 13563 13700 14256 14432 14520 14760 14796 14850 14883 15070 15840 16200 16236 16335 16400 16440 16577 16605 16851 17424 17712 17820 18040 18084 18150 18450 18495 19360 19440 19602 19680 19728 19800 19844 19926 20295 20550 21384 21600 21648 21780 21920 22140 22194 22275 22468 22550 22605 23760 24112 24200 24300 24354 24600 24660 24805 26136 26400 26568 26730 27060 27126 27225 27400 27675 28085 28512 29040 29403 29520 29592 29700 29766 30140 30825 32400 32472 32670 32800 32880 33154 33210 33291 33702 33825 34848 35424 35640 36080 36168 36300 36531 36900 36990 37675 38880 39204 39456 39600 39688 39852 40590 40689 41100 42768 43296 43560 44280 44388 44550 44649 44936 45100 45210 47520 48224 48400 48600 48708 49005 49200 49320 49610 49731 49815 50553 52272 53136 53460 54120 54252 54450 54800 55350 55485 56170 58080 58806 59040 59184 59400 59532 60280 60885 61650 61787 64800 64944 65340 65760 66308 66420 66582 66825 67404 67650 67815 71280 72160 72336 72600 73062 73800 73980 74415 75350 78408 79200 79376 79704 81180 81378 81675 82200 82885 83025 84255 85536 87120 88560 88776 89100 89298 89872 90200 90420 92475 96800 97200 97416 98010 98400 98640 99220 99462 99630 101106 101475 104544 106272 106920 108240 108504 108900 109593 109600 110700 110970 112340 113025 117612 118368 118800 119064 120560 121770 122067 123300 123574 124025 129888 130680 132616 132840 133164 133650 133947 134808 135300 135630 140425 142560 144672 145200 146124 147015 147600 147960 148830 149193 150700 151659 156816 158752 159408 162360 162756 163350 164400 165770 166050 166455 168510 174240 177120 177552 178200 178596 179744 180400 180840 182655 184950 185361 194400 194832 196020 197280 198440 198924 199260 202212 202950 203445 213840 216480 217008 217800 219186 221400 221940 223245 224680 226050 235224 237600 238128 241120 243540 244134 245025 246600 247148 248050 248655 249075 252765 261360 265232 265680 266328 267300 267894 269616 270600 271260 277425 280850 290400 292248 294030 295200 295920 297660 298386 301400 303318 304425 308935 313632 318816 324720 325512 326700 328800 331540 332100 332910 337020 339075 355104 356400 357192 360800 361680 365310 366201 369900 370722 372075 389664 392040 396880 397848 398520 401841 404424 405900 406890 414425 421275 427680 434016 435600 438372 442800 443880 446490 447579 449360 452100 454977 470448 476256 487080 488268 490050 493200 494296 496100 497310 498150 505530 522720 530464 531360 532656 534600 535788 539232 541200 542520 547965 554850 556083 561700 584496 588060 591840 595320 596772 602800 606636 608850 610335 617870 649440 651024 653400 663080 664200 665820 669735 674040 678150 679657 712800 714384 723360 730620 732402 735075 739800 741444 744150 745965 758295 784080 793760 795696 797040 803682 808848 811800 813780 828850 832275 842550 871200 876744 885600 887760 892980 895158 898720 904200 909954 913275 926805 940896 974160 976536 980100 986400 988592 992200 994620 996300 1011060 1017225 1065312 1069200 1071576 1082400 1085040 1095930 1109700 1112166 1116225 1123400 1168992 1176120 1190640 1193544 1205523 1205600 1213272 1217700 1220670 1235740 1243275 1263825 1302048 1306800 1326160 1328400 1331640 1339470 1342737 1348080 1356300 1359314 1364931 1428768 1461240 1464804 1470150 1479600 1482888 1488300 1491930 1516590 1544675 1568160 1591392 1594080 1607364 1617696 1623600 1627560 1657700 1664550 1668249 1685100 1753488 1775520 1785960 1790316 1808400 1819908 1826550 1831005 1853610 1948320 1953072 1960200 1977184 1984400 1989240 1992600 2009205 2022120 2034450 2038971 2138400 2143152 2170080 2191860 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7970400 8036820 8056422 8088480 8137800 8155884 8341245 8767440 8877600 8897328 8929800 8951580 9099540 9155025 9268050 9644184 9741600 9765360 9885920 9946200 10009494 10046025 10110600 10194855 10715760 10741896 10850400 10874512 10919448 10959300 11121660 11189475 11374425 11718432 11761200 11906400 11935440 12055230 12132720 12206700 12233826 12357400 12858912 13261600 13316400 13345992 13394700 13427370 13480800 13593140 13649310 13902075 14322528 14559264 14612400 14648040 14828880 14919300 15014241 15165900 16073640 16112844 16275600 16311768 16682490 16991425 17534880 17794656 17859600 17903160 18199080 18310050 18350739 18536100 19288368 19530720 19892400 20018988 20092050 20141055 20221200 20389710 21431520 21483792 21749024 21838896 21918600 22243320 22378950 22748850 23522400 23870880 24110460 24265440 24413400 24467652 24714800 25023735 26632800 26691984 26789400 26854740 27186280 27298620 27804150 29224800 29296080 29657760 29838600 30028482 30138075 30331800 30584565 32147280 32225688 32551200 32623536 33364980 33568425 33982850 34123275 35719200 35806320 36398160 36620100 36701478 37072200 38576736 39784800 40037976 40184100 40282110 40442400 40779420 41706225 42967584 43677792 43837200 44486640 44757900 45497700 48220920 48826800 48935304 49429600 50047470 50974275 53383968 53578800 53709480 54372560 54597240 55052217 55608300 58592160 59677200 60056964 60276150 60663600 61169130 64294560 64451376 65247072 66729960 67136850 67965700 68246550 71612640 72796320 73240200 73402956 74144400 75071205 80075952 80368200 80564220 81558840 83412450 87674400 88973280 89515800 90995400 91753695 96441840 97653600 97870608 100094940 100705275 101948550 107157600 107418960 108745120 109194480 110104434 111216600 119354400 120113928 120552300 121327200 122338260 125118675 128902752 133459920 134273700 135931400 136493100 146480400 146805912 148288800 150142410 152922825 160151904 160736400 161128440 163117680 165156651 166824900 179031600 181990800 183507390 192883680 195741216 200189880 201410550 203897100 214837920 218388960 220208868 222433200 240227856 241104600 244676520 250237350 266919840 268547400 271862800 272986200 275261085 292960800 293611824 300284820 305845650 321472800 322256880 326235360 330313302 333649800 358063200 363981600 367014780 375356025 400379760 402821100 407794200 440417736 444866400 458768475 480455712 482209200 489353040 500474700 537094800 543725600 545972400 550522170 587223648 600569640 611691300 644513760 660626604 667299600 734029560 750712050 800759520 805642200 815588400 825783255 880835472 917536950 964418400 978706080 1000949400 1074189600 1091944800 1101044340 1201139280 1223382600 1321253208 1334599200 1376305425 1468059120 1501424100 1611284400 1631176800 1651566510 1761670944 1835073900 2001898800 2202088680 2402278560 2446765200 2642506416 2752610850 2936118240 3002848200 3222568800 3303133020 3670147800 4003797600 4128916275 4404177360 4893530400 5285012832 5505221700 6005696400 6606266040 7340295600 8257832550 8808354720 11010443400 12011392800 13212532080 14680591200 16515665100 22020886800 26425064160 33031330200 44041773600 66062660400 132125320800
- Sum of all divisors σ(n): 548003894256
- Sum of proper divisors (its aliquot sum) s(n): 415878573456
- 132125320800 is an abundant number, because the sum of its proper divisors (415878573456) is greater than itself. Its abundance is 283753252656
Bases of 132125320800
- Binary: 11110110000110100100001100110011000002
- Hexadecimal: 0x1EC3486660
- Base-36: 1OP40600
Squares and roots of 132125320800
- 132125320800 squared (1321253208002) is 17457100396502912640000
- 132125320800 cubed (1321253208003) is 2306524990125754530694374912000000
-
The
square root of 132125320800 is 363490.4686508299 -
The
cube root of 132125320800 is 5093.2541953993
Scales and comparisons
How big is 132125320800?- 132,125,320,800 seconds is equal to 4,201 years, 9 weeks, 1 day, 6 hours.
-
To count from 1 to 132,125,320,800 would take you about eight thousand, four hundred 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 132125320800 cubic inches would be around 424.4 feet tall.
Recreational maths with 132125320800
- 132125320800 backwards is 008023521231
- 132125320800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132125320800's digits is 27
- More coming soon!
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The information we have on file for 132125320800 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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