132468134400
132,468,134,400 is an even composite number composed of six prime numbers multiplied together.
132468134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 132468134400:
29 × 33 × 52 × 7 × 17 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 3221)See below for interesting mathematical facts about the number 132468134400 from the Numbermatics database.
Names of 132468134400
- Cardinal: 132468134400 can be written as One hundred thirty-two billion, four hundred sixty-eight million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.324681344 × 1011
Factors of 132468134400
Divisors of 132468134400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 63 64 68 70 72 75 80 84 85 90 96 100 102 105 108 112 119 120 126 128 135 136 140 144 150 153 160 168 170 175 180 189 192 200 204 210 216 224 225 238 240 252 255 256 270 272 280 288 300 306 315 320 336 340 350 357 360 378 384 400 408 420 425 432 448 450 459 476 480 504 510 512 525 540 544 560 576 595 600 612 630 640 672 675 680 700 714 720 756 765 768 800 816 840 850 864 896 900 918 945 952 960 1008 1020 1050 1071 1080 1088 1120 1152 1190 1200 1224 1260 1275 1280 1344 1350 1360 1400 1428 1440 1512 1530 1536 1575 1600 1632 1680 1700 1728 1785 1792 1800 1836 1890 1904 1920 2016 2040 2100 2142 2160 2176 2240 2295 2304 2380 2400 2448 2520 2550 2560 2688 2700 2720 2800 2856 2880 2975 3024 3060 3150 3200 3213 3221 3264 3360 3400 3456 3570 3584 3600 3672 3780 3808 3825 3840 4032 4080 4200 4284 4320 4352 4480 4590 4608 4725 4760 4800 4896 5040 5100 5355 5376 5400 5440 5600 5712 5760 5950 6048 6120 6300 6400 6426 6442 6528 6720 6800 6912 7140 7200 7344 7560 7616 7650 7680 8064 8160 8400 8568 8640 8704 8925 8960 9180 9450 9520 9600 9663 9792 10080 10200 10710 10752 10800 10880 11200 11424 11475 11520 11900 12096 12240 12600 12800 12852 12884 13056 13440 13600 13824 14280 14400 14688 15120 15232 15300 16065 16105 16128 16320 16800 17136 17280 17850 17920 18360 18900 19040 19200 19326 19584 20160 20400 21420 21600 21760 22400 22547 22848 22950 23040 23800 24192 24480 25200 25704 25768 26112 26775 26880 27200 28560 28800 28989 29376 30240 30464 30600 32130 32210 32256 32640 33600 34272 34560 35700 36720 37800 38080 38400 38652 39168 40320 40800 42840 43200 43520 44800 45094 45696 45900 47600 48315 48384 48960 50400 51408 51536 53550 53760 54400 54757 57120 57600 57978 58752 60480 60928 61200 64260 64420 65280 67200 67641 68544 69120 71400 73440 75600 76160 77304 78336 80325 80525 80640 81600 85680 86400 86967 89600 90188 91392 91800 95200 96630 96768 97920 100800 102816 103072 107100 108800 109514 112735 114240 115200 115956 117504 120960 122400 128520 128840 130560 134400 135282 137088 142800 144945 146880 151200 152320 154608 160650 161050 161280 163200 164271 171360 172800 173934 180376 182784 183600 190400 193260 195840 201600 202923 205632 206144 214200 217600 219028 225470 228480 231912 235008 241575 241920 244800 257040 257680 268800 270564 273785 274176 285600 289890 293760 302400 304640 309216 321300 322100 326400 328542 338205 342720 345600 347868 360752 367200 380800 383299 386520 391680 403200 405846 411264 412288 428400 434835 438056 450940 456960 463824 483150 483840 489600 492813 514080 515360 541128 547570 548352 563675 571200 579780 587520 604800 608769 618432 642600 644200 652800 657084 676410 685440 695736 721504 724725 734400 761600 766598 773040 806400 811692 821355 822528 824576 856800 869670 876112 901880 913920 927648 966300 979200 985626 1014615 1028160 1030720 1082256 1095140 1127350 1142400 1149897 1159560 1175040 1209600 1217538 1236864 1285200 1288400 1314168 1352820 1368925 1370880 1391472 1443008 1449450 1468800 1478439 1523200 1533196 1546080 1623384 1642710 1645056 1649152 1691025 1713600 1739340 1752224 1803760 1855296 1916495 1932600 1958400 1971252 2029230 2056320 2061440 2164512 2174175 2190280 2254700 2284800 2299794 2319120 2419200 2435076 2464065 2473728 2570400 2576800 2628336 2705640 2737850 2741760 2782944 2886016 2898900 2937600 2956878 3043845 3066392 3092160 3246768 3285420 3382050 3427200 3449691 3478680 3504448 3607520 3710592 3832990 3865200 3942504 4058460 4106775 4112640 4122880 4329024 4348350 4380560 4509400 4569600 4599588 4638240 4870152 4928130 4947456 5073075 5140800 5153600 5256672 5411280 5475700 5565888 5749485 5772032 5797800 5875200 5913756 6087690 6132784 6184320 6493536 6570840 6764100 6854400 6899382 6957360 7008896 7215040 7392195 7421184 7665980 7730400 7885008 8116920 8213550 8225280 8245760 8658048 8696700 8761120 9018800 9199176 9276480 9582475 9740304 9856260 10146150 10281600 10307200 10349073 10513344 10822560 10951400 11131776 11498970 11544064 11595600 11827512 12175380 12265568 12320325 12368640 12987072 13141680 13528200 13708800 13798764 13914720 14017792 14430080 14784390 14842368 15219225 15331960 15460800 15770016 16233840 16427100 17248455 17316096 17393400 17522240 18037600 18398352 18552960 19164950 19480608 19712520 20292300 20563200 20614400 20698146 21026688 21645120 21902800 22263552 22997940 23191200 23655024 24350760 24531136 24640650 24737280 25974144 26283360 27056400 27597528 27829440 28035584 28747425 28860160 29568780 30438450 30663920 30921600 31540032 32467680 32854200 34496910 34632192 34786800 35044480 36075200 36796704 36960975 37105920 38329900 38961216 39425040 40584600 41126400 41228800 41396292 42053376 43290240 43805600 44527104 45995880 46382400 47310048 48701520 49062272 49281300 51745365 51948288 52566720 54112800 55195056 55658880 57494850 57720320 59137560 60876900 61327840 61843200 63080064 64935360 65708400 68993820 69573600 70088960 72150400 73593408 73921950 74211840 76659800 77922432 78850080 81169200 82792584 84106752 86242275 86580480 87611200 91991760 92764800 94620096 97403040 98124544 98562600 103490730 103896576 105133440 108225600 110390112 111317760 114989700 118275120 121753800 122655680 123686400 126160128 129870720 131416800 137987640 139147200 140177920 144300800 147186816 147843900 153319600 155844864 157700160 162338400 165585168 172484550 173160960 175222400 183983520 185529600 189240192 194806080 196249088 197125200 206981460 210266880 216451200 220780224 222635520 229979400 236550240 243507600 245311360 252320256 258726825 259741440 262833600 275975280 278294400 288601600 294373632 295687800 306639200 311689728 315400320 324676800 331170336 344969100 350444800 367967040 371059200 378480384 389612160 394250400 413962920 420533760 432902400 441560448 459958800 473100480 487015200 490622720 517453650 519482880 525667200 551950560 556588800 588747264 591375600 613278400 630800640 649353600 662340672 689938200 700889600 735934080 756960768 779224320 788500800 827925840 865804800 883120896 919917600 946200960 974030400 981245440 1034907300 1051334400 1103901120 1113177600 1182751200 1226556800 1261601280 1298707200 1324681344 1379876400 1471868160 1558448640 1577001600 1655851680 1766241792 1839835200 1892401920 1948060800 2069814600 2102668800 2207802240 2365502400 2453113600 2597414400 2649362688 2759752800 2943736320 3154003200 3311703360 3679670400 3784803840 3896121600 4139629200 4415604480 4731004800 4906227200 5298725376 5519505600 6308006400 6623406720 7359340800 7792243200 8279258400 8831208960 9462009600 11039011200 13246813440 14718681600 16558516800 18924019200 22078022400 26493626880 33117033600 44156044800 66234067200 132468134400
- Sum of all divisors σ(n): 588552687360
- Sum of proper divisors (its aliquot sum) s(n): 456084552960
- 132468134400 is an abundant number, because the sum of its proper divisors (456084552960) is greater than itself. Its abundance is 323616418560
Bases of 132468134400
- Binary: 11110110101111011011101010010000000002
- Hexadecimal: 0x1ED7B75200
- Base-36: 1OUS3UO0
Squares and roots of 132468134400
- 132468134400 squared (1324681344002) is 17547806631416463360000
- 132468134400 cubed (1324681344003) is 2324525207275687330745155584000000
-
The
square root of 132468134400 is 363961.7210641803 -
The
cube root of 132468134400 is 5097.6553928745
Scales and comparisons
How big is 132468134400?- 132,468,134,400 seconds is equal to 4,212 years, 4 weeks.
-
To count from 1 to 132,468,134,400 would take you about eight thousand, four hundred twenty-four 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 132468134400 cubic inches would be around 424.8 feet tall.
Recreational maths with 132468134400
- 132468134400 backwards is 004431864231
- 132468134400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132468134400's digits is 36
- More coming soon!
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The information we have on file for 132468134400 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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