10442133504000
10,442,133,504,000 is an even composite number composed of five prime numbers multiplied together.
10442133504000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 10442133504000:
215 × 32 × 53 × 112 × 2341
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 2341)See below for interesting mathematical facts about the number 10442133504000 from the Numbermatics database.
Names of 10442133504000
- Cardinal: 10442133504000 can be written as Ten trillion, four hundred forty-two billion, one hundred thirty-three million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.0442133504 × 1013
Factors of 10442133504000
Divisors of 10442133504000
- Number of divisors d(n): 1152
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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 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 121 125 128 132 144 150 160 165 176 180 192 198 200 220 225 240 242 250 256 264 275 288 300 320 330 352 360 363 375 384 396 400 440 450 480 484 495 500 512 528 550 576 600 605 640 660 704 720 726 750 768 792 800 825 880 900 960 968 990 1000 1024 1056 1089 1100 1125 1152 1200 1210 1280 1320 1375 1408 1440 1452 1500 1536 1584 1600 1650 1760 1800 1815 1920 1936 1980 2000 2048 2112 2178 2200 2250 2304 2341 2400 2420 2475 2560 2640 2750 2816 2880 2904 3000 3025 3072 3168 3200 3300 3520 3600 3630 3840 3872 3960 4000 4096 4125 4224 4356 4400 4500 4608 4682 4800 4840 4950 5120 5280 5445 5500 5632 5760 5808 6000 6050 6144 6336 6400 6600 7023 7040 7200 7260 7680 7744 7920 8000 8192 8250 8448 8712 8800 9000 9075 9216 9364 9600 9680 9900 10240 10560 10890 11000 11264 11520 11616 11705 12000 12100 12288 12375 12672 12800 13200 14046 14080 14400 14520 15125 15360 15488 15840 16000 16384 16500 16896 17424 17600 18000 18150 18432 18728 19200 19360 19800 20480 21069 21120 21780 22000 22528 23040 23232 23410 24000 24200 24576 24750 25344 25600 25751 26400 27225 28092 28160 28800 29040 30250 30720 30976 31680 32000 32768 33000 33792 34848 35115 35200 36000 36300 36864 37456 38400 38720 39600 40960 42138 42240 43560 44000 45056 45375 46080 46464 46820 48000 48400 49152 49500 50688 51200 51502 52800 54450 56184 56320 57600 58080 58525 60500 61440 61952 63360 64000 66000 67584 69696 70230 70400 72000 72600 73728 74912 76800 77253 77440 79200 81920 84276 84480 87120 88000 90112 90750 92160 92928 93640 96000 96800 98304 99000 101376 102400 103004 105345 105600 108900 112368 112640 115200 116160 117050 121000 122880 123904 126720 128000 128755 132000 135168 136125 139392 140460 140800 144000 145200 147456 149824 153600 154506 154880 158400 163840 168552 168960 174240 175575 176000 180224 181500 184320 185856 187280 192000 193600 198000 202752 204800 206008 210690 211200 217800 224736 225280 230400 231759 232320 234100 242000 245760 247808 253440 256000 257510 264000 270336 272250 278784 280920 281600 283261 288000 290400 292625 294912 299648 307200 309012 309760 316800 337104 337920 348480 351150 352000 360448 363000 368640 371712 374560 384000 386265 387200 396000 405504 409600 412016 421380 422400 435600 449472 450560 460800 463518 464640 468200 484000 491520 495616 506880 512000 515020 526725 528000 540672 544500 557568 561840 563200 566522 576000 580800 585250 599296 614400 618024 619520 633600 643775 674208 675840 696960 702300 704000 726000 737280 743424 749120 768000 772530 774400 792000 811008 819200 824032 842760 844800 849783 871200 877875 898944 901120 921600 927036 929280 936400 968000 991232 1013760 1024000 1030040 1053450 1056000 1081344 1089000 1115136 1123680 1126400 1133044 1152000 1158795 1161600 1170500 1198592 1228800 1236048 1239040 1267200 1287550 1348416 1351680 1393920 1404600 1408000 1416305 1452000 1474560 1486848 1498240 1536000 1545060 1548800 1584000 1622016 1648064 1685520 1689600 1699566 1742400 1755750 1797888 1802240 1843200 1854072 1858560 1872800 1931325 1936000 1982464 2027520 2048000 2060080 2106900 2112000 2178000 2230272 2247360 2252800 2266088 2304000 2317590 2323200 2341000 2397184 2457600 2472096 2478080 2534400 2549349 2575100 2633625 2696832 2703360 2787840 2809200 2816000 2832610 2904000 2973696 2996480 3072000 3090120 3097600 3168000 3218875 3244032 3296128 3371040 3379200 3399132 3484800 3511500 3595776 3686400 3708144 3717120 3745600 3862650 3872000 3964928 4055040 4096000 4120160 4213800 4224000 4248915 4356000 4460544 4494720 4505600 4532176 4608000 4635180 4646400 4682000 4794368 4944192 4956160 5068800 5098698 5150200 5267250 5393664 5406720 5575680 5618400 5632000 5665220 5793975 5808000 5947392 5992960 6144000 6180240 6195200 6336000 6437750 6592256 6742080 6758400 6798264 6969600 7023000 7081525 7191552 7372800 7416288 7434240 7491200 7725300 7744000 8110080 8240320 8427600 8448000 8497830 8712000 8921088 8989440 9011200 9064352 9216000 9270360 9292800 9364000 9588736 9656625 9888384 9912320 10137600 10197396 10300400 10534500 10787328 11151360 11236800 11264000 11330440 11587950 11616000 11894784 11985920 12288000 12360480 12390400 12672000 12746745 12875500 13184512 13484160 13516800 13596528 13939200 14046000 14163050 14383104 14832576 14868480 14982400 15450600 15488000 16220160 16480640 16855200 16896000 16995660 17424000 17842176 17978880 18128704 18432000 18540720 18585600 18728000 19177472 19313250 19776768 19824640 20275200 20394792 20600800 21069000 21244575 21574656 22302720 22473600 22528000 22660880 23175900 23232000 23971840 24720960 24780800 25344000 25493490 25751000 26369024 26968320 27033600 27193056 27878400 28092000 28326100 28766208 28969875 29665152 29736960 29964800 30901200 30976000 32961280 33710400 33792000 33991320 34848000 35407625 35684352 35957760 36257408 36864000 37081440 37171200 37456000 38354944 38626500 39553536 40550400 40789584 41201600 42138000 42489150 43149312 44605440 44947200 45056000 45321760 46351800 46464000 47943680 49441920 49561600 50688000 50986980 51502000 52738048 53936640 54386112 55756800 56184000 56652200 57532416 57939750 59330304 59473920 59929600 61802400 61952000 63733725 65922560 67420800 67584000 67982640 69696000 70815250 71915520 72514816 74162880 74342400 74912000 76709888 77253000 79107072 81100800 81579168 82403200 84276000 84978300 86298624 89210880 89894400 90643520 92703600 92928000 95887360 98883840 99123200 101376000 101973960 103004000 105476096 106222875 107873280 108772224 111513600 112368000 113304400 115064832 115879500 118660608 119859200 123604800 123904000 127467450 131845120 134841600 135168000 135965280 139392000 141630500 143831040 145029632 148325760 148684800 149824000 154506000 158214144 163158336 164806400 168552000 169956600 172597248 178421760 179788800 181287040 185407200 185856000 191774720 197767680 202752000 203947920 206008000 210952192 212445750 215746560 217544448 223027200 224736000 226608800 230129664 231759000 237321216 239718400 247209600 247808000 254934900 263690240 269683200 271930560 278784000 283261000 287662080 290059264 296651520 297369600 299648000 309012000 316428288 318668625 326316672 329612800 337104000 339913200 345194496 359577600 362574080 370814400 371712000 383549440 395535360 405504000 407895840 412016000 421904384 424891500 431493120 435088896 446054400 449472000 453217600 463518000 474642432 479436800 494419200 495616000 509869800 527380480 539366400 543861120 557568000 566522000 575324160 580118528 593303040 599296000 618024000 632856576 637337250 652633344 659225600 674208000 679826400 690388992 719155200 725148160 741628800 743424000 791070720 815791680 824032000 843808768 849783000 862986240 870177792 892108800 898944000 906435200 927036000 949284864 958873600 988838400 1019739600 1054760960 1078732800 1087722240 1115136000 1133044000 1150648320 1160237056 1186606080 1198592000 1236048000 1265713152 1274674500 1305266688 1318451200 1348416000 1359652800 1438310400 1450296320 1483257600 1486848000 1582141440 1631583360 1648064000 1699566000 1725972480 1740355584 1797888000 1812870400 1854072000 1898569728 1917747200 1977676800 2039479200 2109521920 2157465600 2175444480 2230272000 2266088000 2320474112 2373212160 2397184000 2472096000 2531426304 2549349000 2610533376 2636902400 2696832000 2719305600 2876620800 2900592640 2966515200 3164282880 3263166720 3296128000 3399132000 3451944960 3480711168 3595776000 3625740800 3708144000 3797139456 3955353600 4078958400 4219043840 4314931200 4350888960 4460544000 4532176000 4640948224 4746424320 4794368000 4944192000 5098698000 5221066752 5273804800 5393664000 5438611200 5753241600 5801185280 5933030400 6328565760 6526333440 6592256000 6798264000 6961422336 7191552000 7251481600 7416288000 7594278912 7910707200 8157916800 8629862400 8701777920 9064352000 9281896448 9492848640 9588736000 9888384000 10197396000 10442133504 10547609600 10787328000 10877222400 11602370560 11866060800 12657131520 13052666880 13184512000 13596528000 13922844672 14383104000 14502963200 14832576000 15821414400 16315833600 17259724800 17403555840 18128704000 18985697280 19776768000 20394792000 20884267008 21095219200 21574656000 21754444800 23204741120 23732121600 26105333760 26369024000 27193056000 27845689344 28766208000 29005926400 29665152000 31642828800 32631667200 34807111680 36257408000 37971394560 39553536000 40789584000 41768534016 43149312000 43508889600 46409482240 47464243200 52210667520 52738048000 54386112000 58011852800 59330304000 63285657600 65263334400 69614223360 72514816000 79107072000 81579168000 83537068032 86298624000 87017779200 94928486400 104421335040 105476096000 108772224000 116023705600 118660608000 130526668800 139228446720 145029632000 158214144000 163158336000 174035558400 189856972800 208842670080 217544448000 232047411200 237321216000 261053337600 290059264000 316428288000 326316672000 348071116800 417685340160 435088896000 474642432000 522106675200 580118528000 652633344000 696142233600 870177792000 949284864000 1044213350400 1160237056000 1305266688000 1740355584000 2088426700800 2610533376000 3480711168000 5221066752000 10442133504000
- Sum of all divisors σ(n): 41398040600280
- Sum of proper divisors (its aliquot sum) s(n): 30955907096280
- 10442133504000 is an abundant number, because the sum of its proper divisors (30955907096280) is greater than itself. Its abundance is 20513773592280
Bases of 10442133504000
- Binary: 100101111111001111111010100010000000000000002
- Hexadecimal: 0x97F3FA88000
- Base-36: 3P91SOHS0
Squares and roots of 10442133504000
- 10442133504000 squared (104421335040002) is 109038152115359318016000000
- 10442133504000 cubed (104421335040003) is 1138590941418042007653464408064000000000
-
The
square root of 10442133504000 is 3231429.0188707535 -
The
cube root of 10442133504000 is 21857.2949991789
Scales and comparisons
How big is 10442133504000?- 10,442,133,504,000 seconds is equal to 332,027 years, 28 weeks, 2 days, 16 hours.
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To count from 1 to 10,442,133,504,000 would take you about eight hundred thirty thousand and sixty-eight 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 10442133504000 cubic inches would be around 1821.4 feet tall.
Recreational maths with 10442133504000
- 10442133504000 backwards is 00040533124401
- The number of decimal digits it has is: 14
- The sum of 10442133504000's digits is 27
- More coming soon!
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The information we have on file for 10442133504000 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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