30938638848000
30,938,638,848,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 30938638848000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1664 divisors.
30938638848000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 30938638848000:
212 × 3 × 53 × 13 × 31 × 151 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 31 × 151 × 331)See below for interesting mathematical facts about the number 30938638848000 from the Numbermatics database.
Names of 30938638848000
- Cardinal: 30938638848000 can be written as Thirty trillion, nine hundred thirty-eight billion, six hundred thirty-eight million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 3.0938638848 × 1013
Factors of 30938638848000
Divisors of 30938638848000
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 125 128 130 150 151 155 156 160 186 192 195 200 208 240 248 250 256 260 300 302 310 312 320 325 331 372 375 384 390 400 403 416 453 465 480 496 500 512 520 600 604 620 624 640 650 662 744 750 755 768 775 780 800 806 832 906 930 960 975 992 993 1000 1024 1040 1200 1208 1209 1240 1248 1280 1300 1324 1488 1500 1510 1536 1550 1560 1600 1612 1625 1655 1664 1812 1860 1920 1950 1963 1984 1986 2000 2015 2048 2080 2265 2325 2400 2416 2418 2480 2496 2560 2600 2648 2976 3000 3020 3072 3100 3120 3200 3224 3250 3310 3328 3624 3720 3775 3840 3875 3900 3926 3968 3972 4000 4030 4096 4160 4303 4530 4650 4681 4800 4832 4836 4875 4960 4965 4992 5120 5200 5296 5889 5952 6000 6040 6045 6144 6200 6240 6400 6448 6500 6620 6656 7248 7440 7550 7680 7750 7800 7852 7936 7944 8000 8060 8275 8320 8606 9060 9300 9362 9600 9664 9672 9750 9815 9920 9930 9984 10075 10240 10261 10400 10592 11325 11625 11778 11904 12000 12080 12090 12288 12400 12480 12800 12896 12909 13000 13240 13312 14043 14496 14880 15100 15360 15500 15600 15704 15872 15888 16000 16120 16550 16640 17212 18120 18600 18724 18875 19200 19328 19344 19500 19630 19840 19860 19968 20150 20480 20522 20800 21184 21515 22650 23250 23405 23556 23808 24000 24160 24180 24800 24825 24960 25600 25792 25818 26000 26480 26624 28086 28992 29445 29760 30200 30225 30720 30783 31000 31200 31408 31744 31776 32000 32240 33100 33280 34424 36240 37200 37448 37750 38400 38656 38688 39000 39260 39680 39720 39936 40300 41044 41375 41600 42368 43030 45300 46500 46810 47112 47616 48000 48320 48360 49075 49600 49650 49920 49981 50375 51200 51305 51584 51636 52000 52960 53248 56172 56625 57984 58890 59520 60400 60450 60853 61440 61566 62000 62400 62816 63488 63552 64000 64480 64545 66200 66560 68848 70215 72480 74400 74896 75500 76800 77312 77376 78000 78520 79360 79440 79872 80600 82088 82750 83200 84736 86060 90600 93000 93620 94224 95232 96000 96640 96720 98150 99200 99300 99840 99962 100750 102400 102610 103168 103272 104000 105920 107575 112344 113250 115968 117025 117780 119040 120800 120900 121706 123132 124000 124125 124800 125632 126976 127104 128000 128960 129090 132400 133120 133393 137696 140430 144960 147225 148800 149792 149943 151000 151125 153600 153915 154624 154752 156000 157040 158720 158880 159744 161200 164176 165500 166400 169472 172120 181200 182559 186000 187240 188448 190464 192000 193280 193440 196300 198400 198600 199680 199924 201500 205220 206336 206544 208000 211840 215150 224688 226500 231936 234050 235560 238080 241600 241800 243412 245375 246264 248000 248250 249600 249905 251264 254208 256000 256525 257920 258180 264800 266240 266786 275392 280860 289920 294450 297600 299584 299886 302000 302250 304265 307200 307830 309248 309504 312000 314080 317440 317760 322400 322725 328352 331000 332800 338944 344240 351075 362400 365118 372000 374480 376896 380928 384000 386560 386880 392600 396800 397200 399360 399848 400179 403000 410440 412672 413088 416000 423680 430300 449376 453000 463872 468100 471120 476160 483200 483600 486824 490750 492528 496000 496500 499200 499810 502528 508416 512000 513050 515840 516360 529600 533572 537875 550784 561720 579840 585125 588900 595200 599168 599772 604000 604500 608530 615660 618496 619008 624000 628160 634880 635520 644800 645450 649753 656704 662000 665600 666965 677888 688480 702150 724800 730236 736125 744000 748960 749715 753792 768000 769575 773120 773760 785200 793600 794400 798720 799696 800358 806000 820880 825344 826176 832000 847360 860600 898752 906000 912795 927744 936200 942240 952320 966400 967200 973648 981500 985056 992000 993000 998400 999620 1005056 1016832 1026100 1031680 1032720 1059200 1067144 1075750 1101568 1123440 1159680 1170250 1177800 1190400 1198336 1199544 1208000 1209000 1217060 1231320 1238016 1248000 1249525 1256320 1271040 1282625 1289600 1290900 1299506 1313408 1324000 1331200 1333930 1355776 1376960 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31188144 31408000 31521792 31776000 31987840 32014320 32487650 32835200 33047040 33348250 33894400 34148608 34424000 35950080 36511800 37185864 37448000 37485750 37689600 38385408 38656000 38688000 38735275 38945920 38985180 39402240 39984800 40017900 40202240 40284686 41044000 41267200 41308800 41584192 42029056 42368000 42685760 44062720 44937600 45639750 46387200 46482330 46735104 47112000 47616000 47933440 47981760 48682400 48731475 49252800 49581152 49981000 50022375 50252800 50841600 51180544 51222912 51584000 51636000 51980240 52536320 52875264 53357200 55078400 56172000 57520128 57984000 58418880 59916800 59977200 60303360 60427029 60853000 61566000 61900800 61976440 62313472 62376288 62816000 63043584 63552000 63975680 64028640 64975300 65670400 66094080 66696500 68297216 68848000 71900160 73023600 74371728 74896000 74971500 75379200 76770816 77312000 77376000 77470550 77891840 77970360 78804480 79969600 80035800 80569372 81219125 82088000 82617600 83168384 84736000 85371520 88125440 89875200 91279500 92964660 93470208 94224000 95866880 95963520 97364800 97462950 98505600 99162304 99962000 100044750 100505600 100711715 101683200 102361088 102445824 103168000 103272000 103960480 105072640 106714400 110156800 112344000 115968000 116205825 116837760 119833600 119954400 120606720 120854058 121706000 123132000 123801600 123952880 124626944 124752576 125632000 126087168 127104000 127951360 128057280 129950600 131340800 132188160 133393000 136594432 137696000 143800320 146047200 148743456 149792000 149943000 150758400 153541632 154752000 154941100 155783680 155940720 157608960 159939200 160071600 161138744 162438250 164176000 165235200 166336768 169472000 170743040 179750400 182559000 185929320 186940416 188448000 191927040 193676375 194729600 194925900 197011200 198324608 199924000 200089500 201011200 201423430 204722176 204891648 206336000 206544000 207920960 210145280 213428800 220313600 224688000 231936000 232411650 233675520 239667200 239908800 241708116 243412000 243657375 246264000 247905760 249253888 249505152 251264000 254208000 255902720 256114560 259901200 262681600 264376320 266786000 273188864 275392000 287600640 292094400 297486912 299584000 299886000 301516800 302135145 307083264 309504000 309882200 311567360 311881440 315217920 319878400 320143200 322277488 324876500 328352000 330470400 332673536 341486080 359500800 365118000 371858640 373880832 376896000 383854080 387352750 389459200 389851800 394022400 396649216 399848000 400179000 402846860 409783296 413088000 415841920 426857600 440627200 449376000 464823300 467351040 479334400 479817600 483416232 486824000 487314750 492528000 495811520 499010304 502528000 503558575 508416000 511805440 512229120 519802400 525363200 533572000 546377728 550784000 581029125 584188800 594973824 599168000 599772000 603033600 604270290 614166528 619008000 619764400 623134720 623762880 630435840 639756800 640286400 644554976 649753000 656704000 660940800 665347072 682972160 719001600 730236000 743717280 747761664 753792000 767708160 774705500 778918400 779703600 788044800 793298432 799696000 800358000 805693720 819566592 826176000 831683840 853715200 898752000 929646600 934702080 959635200 966832464 973648000 974629500 985056000 991623040 998020608 1005056000 1007117150 1023610880 1024458240 1039604800 1050726400 1067144000 1101568000 1162058250 1168377600 1189947648 1198336000 1199544000 1208540580 1239528800 1246269440 1247525760 1279513600 1280572800 1289109952 1299506000 1313408000 1321881600 1330694144 1365944320 1438003200 1460472000 1487434560 1507584000 1510675725 1535416320 1549411000 1557836800 1559407200 1576089600 1586596864 1599392000 1600716000 1611387440 1639133184 1652352000 1663367680 1707430400 1797504000 1859293200 1869404160 1919270400 1933664928 1947296000 1949259000 1970112000 1983246080 1996041216 2014234300 2048916480 2079209600 2134288000 2203136000 2324116500 2336755200 2379895296 2396672000 2399088000 2417081160 2479057600 2495051520 2517792875 2559027200 2561145600 2578219904 2599012000 2626816000 2661388288 2731888640 2920944000 2974869120 3015168000 3021351450 3070832640 3098822000 3115673600 3118814400 3152179200 3173193728 3198784000 3201432000 3222774880 3304704000 3326735360 3414860800 3595008000 3718586400 3738808320 3838540800 3867329856 3894592000 3898518000 3940224000 3966492160 3992082432 4028468600 4097832960 4158419200 4268576000 4648233000 4673510400 4759790592 4798176000 4834162320 4958115200 4990103040 5035585750 5118054400 5122291200 5156439808 5198024000 5253632000 5841888000 5949738240 6042702900 6197644000 6231347200 6237628800 6346387456 6397568000 6402864000 6445549760 6609408000 6653470720 6829721600 7190016000 7437172800 7553378625 7677081600 7734659712 7789184000 7797036000 7880448000 7932984320 7984164864 8056937200 8195665920 8316838400 8537152000 9296466000 9347020800 9519581184 9596352000 9668324640 9916230400 9980206080 10071171500 10244582400 10312879616 10396048000 11683776000 11899476480 12085405800 12395288000 12475257600 12795136000 12805728000 12891099520 13306941440 13659443200 14874345600 15106757250 15354163200 15469319424 15578368000 15594072000 15760896000 15865968640 16113874400 16633676800 17074304000 18592932000 18694041600 19039162368 19192704000 19336649280 19832460800 19960412160 20142343000 20489164800 20625759232 20792096000 23367552000 23798952960 24170811600 24790576000 24950515200 25590272000 25611456000 25782199040 29748691200 30213514500 30938638848 31156736000 31188144000 31731937280 32227748800 33267353600 34148608000 37185864000 38385408000 38673298560 39664921600 39920824320 40284686000 40978329600 41251518464 41584192000 46735104000 47597905920 48341623200 49581152000 49901030400 51222912000 51564398080 59497382400 60427029000 61877277696 62376288000 64455497600 66534707200 68297216000 74371728000 76770816000 77346597120 79329843200 80569372000 82503036928 83168384000 93470208000 95195811840 96683246400 99162304000 99802060800 102445824000 103128796160 118994764800 120854058000 123754555392 124752576000 128910995200 148743456000 154693194240 158659686400 161138744000 166336768000 193366492800 198324608000 199604121600 204891648000 206257592320 237989529600 241708116000 247509110784 249505152000 257821990400 297486912000 309386388480 322277488000 332673536000 386732985600 396649216000 412515184640 475979059200 483416232000 499010304000 515643980800 594973824000 618772776960 644554976000 773465971200 793298432000 966832464000 998020608000 1031287961600 1189947648000 1237545553920 1289109952000 1546931942400 1933664928000 2062575923200 2379895296000 2578219904000 3093863884800 3867329856000 5156439808000 6187727769600 7734659712000 10312879616000 15469319424000 30938638848000
- Sum of all divisors σ(n): 115552993640448
- Sum of proper divisors (its aliquot sum) s(n): 84614354792448
- 30938638848000 is an abundant number, because the sum of its proper divisors (84614354792448) is greater than itself. Its abundance is 53675715944448
Bases of 30938638848000
- Binary: 1110000100011011101101001010000010000000000002
- Hexadecimal: 0x1C2376941000
- Base-36: AYT0IRAIO
Squares and roots of 30938638848000
- 30938638848000 squared (309386388480002) is 957199373766974767104000000
- 30938638848000 cubed (309386388480003) is 29614445730508197628959566856192000000000
-
The
square root of 30938638848000 is 5562251.2392016239 -
The
cube root of 30938638848000 is 31393.0660876297
Scales and comparisons
How big is 30938638848000?- 30,938,638,848,000 seconds is equal to 983,753 years, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 30,938,638,848,000 would take you about two million, four hundred fifty-nine thousand, three hundred eighty-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 30938638848000 cubic inches would be around 2616.1 feet tall.
Recreational maths with 30938638848000
- 30938638848000 backwards is 00084883683903
- 30938638848000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 30938638848000's digits is 60
- More coming soon!
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"Number 30938638848000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 30938638848000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/30938638848000/
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The information we have on file for 30938638848000 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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