132968390400
132,968,390,400 is an even composite number composed of six prime numbers multiplied together.
132968390400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 132968390400:
28 × 33 × 52 × 73 × 83 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 73 × 83 × 127)See below for interesting mathematical facts about the number 132968390400 from the Numbermatics database.
Names of 132968390400
- Cardinal: 132968390400 can be written as One hundred thirty-two billion, nine hundred sixty-eight million, three hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.329683904 × 1011
Factors of 132968390400
Divisors of 132968390400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 73 75 80 83 90 96 100 108 120 127 128 135 144 146 150 160 166 180 192 200 216 219 225 240 249 254 256 270 288 292 300 320 332 360 365 381 384 400 415 432 438 450 480 498 508 540 576 584 600 635 640 657 664 675 720 730 747 762 768 800 830 864 876 900 960 996 1016 1080 1095 1143 1152 1168 1200 1245 1270 1280 1314 1328 1350 1440 1460 1494 1524 1600 1660 1728 1752 1800 1825 1905 1920 1971 1992 2032 2075 2160 2190 2241 2286 2304 2336 2400 2490 2540 2628 2656 2700 2880 2920 2988 3048 3175 3200 3285 3320 3429 3456 3504 3600 3650 3735 3810 3840 3942 3984 4064 4150 4320 4380 4482 4572 4672 4800 4980 5080 5256 5312 5400 5475 5715 5760 5840 5976 6059 6096 6225 6350 6400 6570 6640 6858 6912 7008 7200 7300 7470 7620 7884 7968 8128 8300 8640 8760 8964 9144 9271 9344 9525 9600 9855 9960 10160 10512 10541 10624 10800 10950 11205 11430 11520 11680 11952 12118 12192 12450 12700 13140 13280 13716 14016 14400 14600 14940 15240 15768 15936 16256 16425 16600 17145 17280 17520 17928 18177 18288 18542 18675 18688 19050 19200 19710 19920 20320 21024 21082 21248 21600 21900 22410 22860 23360 23904 24236 24384 24900 25400 26280 26560 27432 27813 28032 28575 28800 29200 29880 30295 30480 31536 31623 31872 32512 32850 33200 34290 34560 35040 35856 36354 36576 37084 37350 38100 39420 39840 40640 42048 42164 43200 43800 44820 45720 46355 46720 47808 48472 48768 49275 49800 50800 52560 52705 53120 54531 54864 55626 56025 56064 57150 57600 58400 59760 60590 60960 63072 63246 63744 65700 66400 68580 70080 71712 72708 73152 74168 74700 76200 78840 79680 81280 83439 84096 84328 85725 86400 87600 89640 90885 91440 92710 93440 94869 95616 96944 97536 98550 99600 101600 105120 105410 106240 109062 109728 111252 112050 114300 116800 119520 121180 121920 126144 126492 131400 132800 137160 139065 140160 143424 145416 146304 148336 149400 151475 152400 157680 158115 159360 162560 163593 166878 168192 168656 171450 172800 175200 179280 181770 182880 185420 189738 191232 193888 197100 199200 203200 210240 210820 218124 219456 222504 224100 228600 231775 233600 239040 242360 243840 250317 252288 252984 262800 263525 265600 272655 274320 278130 280320 284607 286848 290832 292608 296672 298800 302950 304800 315360 316230 318720 327186 333756 337312 342900 350400 358560 363540 365760 370840 379476 387776 394200 398400 406400 417195 420480 421640 436248 438912 445008 448200 454425 457200 463550 467200 474345 478080 484720 487680 500634 504576 505968 525600 527050 531200 545310 548640 556260 569214 573696 581664 593344 597600 605900 609600 630720 632460 654372 667512 674624 685800 695325 700800 717120 727080 731520 741680 758952 769493 775552 788400 790575 796800 812800 817965 834390 840960 843280 872496 877824 890016 896400 908850 914400 927100 948690 956160 969440 1001268 1011936 1051200 1054100 1090620 1097280 1112520 1138428 1163328 1186688 1195200 1211800 1219200 1251585 1261440 1264920 1308744 1335024 1349248 1363275 1371600 1390650 1401600 1423035 1434240 1454160 1463040 1483360 1517904 1538986 1551104 1576800 1581150 1593600 1635930 1668780 1686560 1744992 1780032 1792800 1817700 1828800 1854200 1897380 1938880 2002536 2023872 2085975 2102400 2108200 2181240 2194560 2225040 2276856 2308479 2326656 2371725 2373376 2390400 2423600 2438400 2503170 2522880 2529840 2617488 2670048 2698496 2726550 2743200 2781300 2846070 2868480 2908320 2966720 3035808 3077972 3153600 3162300 3271860 3337560 3373120 3489984 3560064 3585600 3635400 3657600 3708400 3794760 3847465 3877760 4005072 4047744 4089825 4171950 4204800 4216400 4362480 4389120 4450080 4553712 4616958 4653312 4743450 4780800 4847200 5006340 5059680 5234976 5340096 5453100 5486400 5562600 5692140 5816640 5933440 6071616 6155944 6257925 6307200 6324600 6543720 6675120 6746240 6925437 6979968 7115175 7120128 7171200 7270800 7315200 7416800 7589520 7694930 7755520 8010144 8095488 8179650 8343900 8432800 8724960 8900160 9107424 9233916 9486900 9694400 10012680 10119360 10469952 10680192 10906200 10972800 11125200 11384280 11542395 11633280 11866880 12143232 12311888 12515850 12614400 12649200 13087440 13350240 13492480 13850874 13959936 14230350 14342400 14541600 14833600 15179040 15389860 16020288 16359300 16687800 16865600 17449920 17800320 18214848 18467832 18973800 19237325 19388800 20025360 20238720 20776311 20939904 21360384 21812400 21945600 22250400 22768560 23084790 23266560 24286464 24623776 25031700 25298400 26174880 26700480 27701748 28460700 29083200 29667200 30358080 30779720 32040576 32718600 33375600 33731200 34627185 34899840 35600640 36429696 36935664 37947600 38474650 38777600 40050720 40477440 41552622 41879808 43624800 44500800 45537120 46169580 49247552 50063400 50596800 52349760 53400960 55403496 56921400 57711975 58166400 59334400 60716160 61559440 64081152 65437200 66751200 67462400 69254370 69799680 72859392 73871328 75895200 76949300 80101440 83105244 87249600 89001600 91074240 92339160 98495104 100126800 101193600 103881555 104699520 106801920 110806992 113842800 115423950 116332800 121432320 123118880 130874400 133502400 138508740 147742656 151790400 153898600 160202880 166210488 173135925 174499200 178003200 182148480 184678320 196990208 200253600 202387200 207763110 209399040 221613984 227685600 230847900 246237760 261748800 267004800 277017480 295485312 303580800 307797200 320405760 332420976 346271850 348998400 364296960 369356640 400507200 415526220 443227968 455371200 461695800 492475520 519407775 523497600 534009600 554034960 590970624 607161600 615594400 664841952 692543700 738713280 801014400 831052440 886455936 910742400 923391600 984951040 1038815550 1046995200 1108069920 1231188800 1329683904 1385087400 1477426560 1602028800 1662104880 1772911872 1821484800 1846783200 2077631100 2216139840 2462377600 2659367808 2770174800 2954853120 3324209760 3693566400 4155262200 4432279680 4924755200 5318735616 5540349600 6648419520 7387132800 8310524400 8864559360 11080699200 13296839040 14774265600 16621048800 22161398400 26593678080 33242097600 44322796800 66484195200 132968390400
- Sum of all divisors σ(n): 504154398720
- Sum of proper divisors (its aliquot sum) s(n): 371186008320
- 132968390400 is an abundant number, because the sum of its proper divisors (371186008320) is greater than itself. Its abundance is 238217617920
Bases of 132968390400
- Binary: 11110111101011000100010011111000000002
- Hexadecimal: 0x1EF5889F00
- Base-36: 1P31Y2O0
Squares and roots of 132968390400
- 132968390400 squared (1329683904002) is 17680592845566812160000
- 132968390400 cubed (1329683904003) is 2350959971992774788574347264000000
-
The
square root of 132968390400 is 364648.3105678675 -
The
cube root of 132968390400 is 5104.0643034583
Scales and comparisons
How big is 132968390400?- 132,968,390,400 seconds is equal to 4,227 years, 51 weeks, 1 day.
-
To count from 1 to 132,968,390,400 would take you about eight thousand, four hundred fifty-five 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 132968390400 cubic inches would be around 425.3 feet tall.
Recreational maths with 132968390400
- 132968390400 backwards is 004093869231
- 132968390400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132968390400's digits is 45
- More coming soon!
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The information we have on file for 132968390400 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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