42664624128000
42,664,624,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42664624128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1824 divisors.
42664624128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 42664624128000:
218 × 33 × 53 × 7 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 83 × 83)See below for interesting mathematical facts about the number 42664624128000 from the Numbermatics database.
Names of 42664624128000
- Cardinal: 42664624128000 can be written as Forty-two trillion, six hundred sixty-four billion, six hundred twenty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2664624128 × 1013
Factors of 42664624128000
Divisors of 42664624128000
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 83 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 166 168 175 180 189 192 200 210 216 224 225 240 249 250 252 256 270 280 288 300 315 320 332 336 350 360 375 378 384 400 415 420 432 448 450 480 498 500 504 512 525 540 560 576 581 600 630 640 664 672 675 700 720 747 750 756 768 800 830 840 864 875 896 900 945 960 996 1000 1008 1024 1050 1080 1120 1125 1152 1162 1200 1245 1260 1280 1328 1344 1350 1400 1440 1494 1500 1512 1536 1575 1600 1660 1680 1728 1743 1750 1792 1800 1890 1920 1992 2000 2016 2048 2075 2100 2160 2240 2241 2250 2304 2324 2400 2490 2520 2560 2625 2656 2688 2700 2800 2880 2905 2988 3000 3024 3072 3150 3200 3320 3360 3375 3456 3486 3500 3584 3600 3735 3780 3840 3984 4000 4032 4096 4150 4200 4320 4480 4482 4500 4608 4648 4725 4800 4980 5040 5120 5229 5250 5312 5376 5400 5600 5760 5810 5976 6000 6048 6144 6225 6300 6400 6640 6720 6750 6889 6912 6972 7000 7168 7200 7470 7560 7680 7875 7968 8000 8064 8192 8300 8400 8640 8715 8960 8964 9000 9216 9296 9450 9600 9960 10080 10240 10375 10458 10500 10624 10752 10800 11200 11205 11520 11620 11952 12000 12096 12288 12450 12600 12800 13280 13440 13500 13778 13824 13944 14000 14336 14400 14525 14940 15120 15360 15687 15750 15936 16000 16128 16384 16600 16800 17280 17430 17920 17928 18000 18432 18592 18675 18900 19200 19920 20160 20480 20667 20750 20916 21000 21248 21504 21600 22400 22410 23040 23240 23625 23904 24000 24192 24576 24900 25200 25600 26145 26560 26880 27000 27556 27648 27888 28000 28672 28800 29050 29880 30240 30720 31125 31374 31500 31872 32000 32256 32768 33200 33600 34445 34560 34860 35840 35856 36000 36864 37184 37350 37800 38400 39840 40320 40960 41334 41500 41832 42000 42496 43008 43200 43575 44800 44820 46080 46480 47250 47808 48000 48223 48384 49152 49800 50400 51200 52290 53120 53760 54000 55112 55296 55776 56000 56025 57344 57600 58100 59760 60480 61440 62001 62250 62748 63000 63744 64000 64512 65536 66400 67200 68890 69120 69720 71680 71712 72000 72625 73728 74368 74700 75600 76800 78435 79680 80640 81920 82668 83000 83664 84000 84992 86016 86400 87150 89600 89640 92160 92960 93375 94500 95616 96000 96446 96768 98304 99600 100800 102400 103335 104580 106240 107520 108000 110224 110592 111552 112000 112050 114688 115200 116200 119520 120960 122880 124002 124500 125496 126000 127488 128000 129024 130725 131072 132800 134400 137780 138240 139440 143360 143424 144000 144669 145250 147456 148736 149400 151200 153600 156870 159360 161280 163840 165336 166000 167328 168000 169984 172032 172225 172800 174300 179200 179280 184320 185920 186003 186750 189000 191232 192000 192892 193536 196608 199200 201600 204800 206670 209160 212480 215040 216000 217875 220448 221184 223104 224000 224100 229376 230400 232400 239040 241115 241920 245760 248004 249000 250992 252000 254976 256000 258048 261450 262144 265600 268800 275560 276480 278880 280125 286720 286848 288000 289338 290500 294912 297472 298800 302400 307200 310005 313740 318720 322560 327680 330672 332000 334656 336000 339968 344064 344450 345600 348600 358400 358560 368640 371840 372006 373500 378000 382464 384000 385784 387072 392175 393216 398400 403200 409600 413340 418320 424960 430080 432000 434007 435750 440896 442368 446208 448000 448200 458752 460800 464800 478080 482230 483840 491520 496008 498000 501984 504000 509952 512000 516096 516675 522900 531200 537600 551120 552960 557760 560250 573440 573696 576000 578676 581000 589824 594944 597600 604800 614400 620010 627480 637440 645120 653625 655360 661344 664000 669312 672000 679936 688128 688900 691200 697200 716800 717120 723345 737280 743680 744012 747000 756000 764928 768000 771568 774144 784350 786432 796800 806400 819200 826680 836640 849920 860160 861125 864000 868014 871500 881792 884736 892416 896000 896400 917504 921600 929600 930015 956160 964460 967680 983040 992016 996000 1003968 1008000 1019904 1024000 1032192 1033350 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16930406400 17134387200 17776926720 18358272000 18517632000 18962055168 19038208000 19046707200 19752140800 20316487680 20561264640 20832336000 21163008000 21332312064 21417984000 22221158400 22573875200 23702568960 23808384000 24379785216 24477696000 24690176000 25395609600 25701580800 26665390080 27088650240 27776448000 28217344000 28443082752 28557312000 29628211200 30474731520 31603425280 31744512000 32126976000 33331737600 33860812800 34268774400 35553853440 36716544000 37035264000 37924110336 38093414400 39504281600 40632975360 41664672000 42326016000 42664624128 42835968000 44442316800 45147750400 47405137920 47616768000 48759570432 49380352000 50791219200 51403161600 53330780160 55552896000 56434688000 56886165504 57114624000 59256422400 60949463040 63206850560 63489024000 64253952000 66663475200 67721625600 71107706880 73433088000 74070528000 76186828800 79008563200 81265950720 83329344000 84652032000 85329248256 85671936000 88884633600 94810275840 95233536000 98760704000 101582438400 102806323200 106661560320 111105792000 112869376000 113772331008 118512844800 121898926080 126978048000 128507904000 133326950400 135443251200 142215413760 148141056000 152373657600 158017126400 166658688000 169304064000 170658496512 171343872000 177769267200 189620551680 190467072000 197521408000 203164876800 213323120640 222211584000 225738752000 237025689600 243797852160 253956096000 257015808000 266653900800 284430827520 296282112000 304747315200 316034252800 333317376000 338608128000 341316993024 355538534400 380934144000 395042816000 406329753600 426646241280 444423168000 474051379200 507912192000 514031616000 533307801600 568861655040 592564224000 609494630400 666634752000 677216256000 711077068800 761868288000 790085632000 853292482560 888846336000 948102758400 1015824384000 1066615603200 1185128448000 1218989260800 1333269504000 1422154137600 1523736576000 1580171264000 1706584965120 1777692672000 2031648768000 2133231206400 2370256896000 2666539008000 2844308275200 3047473152000 3555385344000 4266462412800 4740513792000 5333078016000 6094946304000 7110770688000 8532924825600 10666156032000 14221541376000 21332312064000 42664624128000
- Sum of all divisors σ(n): 182500194289920
- Sum of proper divisors (its aliquot sum) s(n): 139835570161920
- 42664624128000 is an abundant number, because the sum of its proper divisors (139835570161920) is greater than itself. Its abundance is 97170946033920
Bases of 42664624128000
- Binary: 10011011001101101000011100010000000000000000002
- Hexadecimal: 0x26CDA1C40000
- Base-36: F4FUVMYO0
Squares and roots of 42664624128000
- 42664624128000 squared (426646241280002) is 1820270151983519760384000000
- 42664624128000 cubed (426646241280003) is 77661141845794304227243984945152000000000
-
The
square root of 42664624128000 is 6531816.2962532865 -
The
cube root of 42664624128000 is 34942.6609799671
Scales and comparisons
How big is 42664624128000?- 42,664,624,128,000 seconds is equal to 1,356,603 years, 4 weeks.
-
To count from 1 to 42,664,624,128,000 would take you about three million, three hundred ninety-one thousand, five hundred seven 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 42664624128000 cubic inches would be around 2911.9 feet tall.
Recreational maths with 42664624128000
- 42664624128000 backwards is 00082142646624
- 42664624128000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42664624128000's digits is 45
- More coming soon!
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"Number 42664624128000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 42664624128000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/42664624128000/
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The information we have on file for 42664624128000 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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