42468900864000
42,468,900,864,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42468900864000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1472 divisors.
42468900864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred seventy-two divisors.
Prime factorization of 42468900864000:
222 × 3 × 53 × 13 × 31 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 31 × 67)See below for interesting mathematical facts about the number 42468900864000 from the Numbermatics database.
Names of 42468900864000
- Cardinal: 42468900864000 can be written as Forty-two trillion, four hundred sixty-eight billion, nine hundred million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.2468900864 × 1013
Factors of 42468900864000
Divisors of 42468900864000
- Number of divisors d(n): 1472
-
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 67 75 78 80 93 96 100 104 120 124 125 128 130 134 150 155 156 160 186 192 195 200 201 208 240 248 250 256 260 268 300 310 312 320 325 335 372 375 384 390 400 402 403 416 465 480 496 500 512 520 536 600 620 624 640 650 670 744 750 768 775 780 800 804 806 832 871 930 960 975 992 1000 1005 1024 1040 1072 1200 1209 1240 1248 1280 1300 1340 1488 1500 1536 1550 1560 1600 1608 1612 1625 1664 1675 1742 1860 1920 1950 1984 2000 2010 2015 2048 2077 2080 2144 2325 2400 2418 2480 2496 2560 2600 2613 2680 2976 3000 3072 3100 3120 3200 3216 3224 3250 3328 3350 3484 3720 3840 3875 3900 3968 4000 4020 4030 4096 4154 4160 4288 4355 4650 4800 4836 4875 4960 4992 5025 5120 5200 5226 5360 5952 6000 6045 6144 6200 6231 6240 6400 6432 6448 6500 6656 6700 6968 7440 7680 7750 7800 7936 8000 8040 8060 8192 8308 8320 8375 8576 8710 9300 9600 9672 9750 9920 9984 10050 10075 10240 10385 10400 10452 10720 11625 11904 12000 12090 12288 12400 12462 12480 12800 12864 12896 13000 13065 13312 13400 13936 14880 15360 15500 15600 15872 16000 16080 16120 16384 16616 16640 16750 17152 17420 18600 19200 19344 19500 19840 19968 20100 20150 20480 20770 20800 20904 21440 21775 23250 23808 24000 24180 24576 24800 24924 24960 25125 25600 25728 25792 26000 26130 26624 26800 27001 27872 29760 30225 30720 31000 31155 31200 31744 32000 32160 32240 32768 33232 33280 33500 34304 34840 37200 38400 38688 39000 39680 39936 40200 40300 40960 41540 41600 41808 42880 43550 46500 47616 48000 48360 49152 49600 49848 49920 50250 50375 51200 51456 51584 51925 52000 52260 53248 53600 54002 55744 59520 60450 61440 62000 62310 62400 63488 64000 64320 64480 65325 65536 66464 66560 67000 68608 69680 74400 76800 77376 78000 79360 79872 80400 80600 81003 81920 83080 83200 83616 85760 87100 93000 95232 96000 96720 98304 99200 99696 99840 100500 100750 102400 102912 103168 103850 104000 104520 106496 107200 108004 108875 111488 119040 120900 122880 124000 124620 124800 126976 128000 128640 128960 130650 131072 132928 133120 134000 135005 137216 139360 148800 151125 153600 154752 155775 156000 158720 159744 160800 161200 162006 163840 166160 166400 167232 171520 174200 186000 190464 192000 193440 196608 198400 199392 199680 201000 201500 204800 205824 206336 207700 208000 209040 212992 214400 216008 217750 222976 238080 241800 245760 248000 249240 249600 253952 256000 257280 257920 259625 261300 262144 265856 266240 268000 270010 274432 278720 297600 302250 307200 309504 311550 312000 317440 319488 321600 322400 324012 326625 327680 332320 332800 334464 343040 348400 372000 380928 384000 386880 393216 396800 398784 399360 402000 403000 405015 409600 411648 412672 415400 416000 418080 425984 428800 432016 435500 445952 476160 483600 491520 496000 498480 499200 507904 512000 514560 515840 519250 522600 524288 531712 532480 536000 540020 548864 557440 595200 604500 614400 619008 623100 624000 634880 638976 643200 644800 648024 653250 655360 664640 665600 668928 675025 686080 696800 744000 761856 768000 773760 778875 786432 793600 797568 798720 804000 806000 810030 819200 823296 825344 830800 832000 836160 851968 857600 864032 871000 891904 952320 967200 983040 992000 996960 998400 1015808 1024000 1029120 1031680 1038500 1045200 1048576 1063424 1064960 1072000 1080040 1097728 1114880 1190400 1209000 1228800 1238016 1246200 1248000 1269760 1277952 1286400 1289600 1296048 1306500 1310720 1329280 1331200 1337856 1350050 1372160 1393600 1488000 1523712 1536000 1547520 1557750 1572864 1587200 1595136 1597440 1608000 1612000 1620060 1638400 1646592 1650688 1661600 1664000 1672320 1703936 1715200 1728064 1742000 1783808 1904640 1934400 1966080 1984000 1993920 1996800 2025075 2031616 2048000 2058240 2063360 2077000 2090400 2097152 2126848 2129920 2144000 2160080 2195456 2229760 2380800 2418000 2457600 2476032 2492400 2496000 2539520 2555904 2572800 2579200 2592096 2613000 2621440 2658560 2662400 2675712 2700100 2744320 2787200 2976000 3047424 3072000 3095040 3115500 3145728 3174400 3190272 3194880 3216000 3224000 3240120 3276800 3293184 3301376 3323200 3328000 3344640 3375125 3407872 3430400 3456128 3484000 3567616 3809280 3868800 3932160 3968000 3987840 3993600 4050150 4063232 4096000 4116480 4126720 4154000 4180800 4194304 4253696 4259840 4288000 4320160 4390912 4459520 4761600 4836000 4915200 4952064 4984800 4992000 5079040 5111808 5145600 5158400 5184192 5226000 5242880 5317120 5324800 5351424 5400200 5488640 5574400 5952000 6094848 6144000 6190080 6231000 6291456 6348800 6380544 6389760 6432000 6448000 6480240 6553600 6586368 6602752 6646400 6656000 6689280 6750250 6815744 6860800 6912256 6968000 7135232 7618560 7737600 7864320 7936000 7975680 7987200 8100300 8126464 8192000 8232960 8253440 8308000 8361600 8507392 8519680 8576000 8640320 8781824 8919040 9523200 9672000 9830400 9904128 9969600 9984000 10125375 10158080 10223616 10291200 10316800 10368384 10452000 10485760 10634240 10649600 10702848 10800400 10977280 11148800 11904000 12189696 12288000 12380160 12462000 12582912 12697600 12761088 12779520 12864000 12896000 12960480 13107200 13172736 13205504 13292800 13312000 13378560 13500500 13631488 13721600 13824512 13936000 14270464 15237120 15475200 15728640 15872000 15951360 15974400 16200600 16252928 16384000 16465920 16506880 16616000 16723200 17014784 17039360 17152000 17280640 17563648 17838080 19046400 19344000 19660800 19808256 19939200 19968000 20250750 20316160 20447232 20582400 20633600 20736768 20904000 20971520 21268480 21299200 21405696 21600800 21954560 22297600 23808000 24379392 24576000 24760320 24924000 25395200 25522176 25559040 25728000 25792000 25920960 26214400 26345472 26411008 26585600 26624000 26757120 27001000 27262976 27443200 27649024 27872000 28540928 30474240 30950400 31457280 31744000 31902720 31948800 32401200 32505856 32768000 32931840 33013760 33232000 33446400 34029568 34078720 34304000 34561280 35127296 35676160 38092800 38688000 39321600 39616512 39878400 39936000 40501500 40632320 40894464 41164800 41267200 41473536 41808000 42536960 42598400 42811392 43201600 43909120 44595200 47616000 48758784 49152000 49520640 49848000 50790400 51044352 51118080 51456000 51584000 51841920 52428800 52690944 52822016 53171200 53248000 53514240 54002000 54525952 54886400 55298048 55744000 57081856 60948480 61900800 62914560 63488000 63805440 63897600 64802400 65011712 65536000 65863680 66027520 66464000 66892800 68059136 68157440 68608000 69122560 70254592 71352320 76185600 77376000 78643200 79233024 79756800 79872000 81003000 81264640 81788928 82329600 82534400 82947072 83616000 85073920 85196800 85622784 86403200 87818240 89190400 95232000 97517568 98304000 99041280 99696000 101580800 102088704 102236160 102912000 103168000 103683840 104857600 105381888 105644032 106342400 106496000 107028480 108004000 109772800 110596096 111488000 114163712 121896960 123801600 126976000 127610880 127795200 129604800 130023424 131072000 131727360 132055040 132928000 133785600 136118272 136314880 137216000 138245120 140509184 142704640 152371200 154752000 157286400 158466048 159513600 159744000 162006000 162529280 163577856 164659200 165068800 165894144 167232000 170147840 170393600 171245568 172806400 175636480 178380800 190464000 195035136 196608000 198082560 199392000 203161600 204177408 204472320 205824000 206336000 207367680 210763776 211288064 212684800 212992000 214056960 216008000 219545600 221192192 222976000 228327424 243793920 247603200 253952000 255221760 255590400 259209600 262144000 263454720 264110080 265856000 267571200 272236544 272629760 274432000 276490240 281018368 285409280 304742400 309504000 314572800 316932096 319027200 319488000 324012000 325058560 329318400 330137600 331788288 334464000 340295680 340787200 342491136 345612800 351272960 356761600 380928000 390070272 393216000 396165120 398784000 406323200 408354816 408944640 411648000 412672000 414735360 421527552 422576128 425369600 425984000 428113920 432016000 439091200 442384384 445952000 456654848 487587840 495206400 507904000 510443520 511180800 518419200 524288000 526909440 528220160 531712000 535142400 544473088 548864000 552980480 570818560 609484800 619008000 633864192 638054400 638976000 648024000 650117120 658636800 660275200 663576576 668928000 680591360 681574400 684982272 691225600 702545920 713523200 761856000 786432000 792330240 797568000 812646400 816709632 817889280 823296000 825344000 829470720 843055104 845152256 850739200 851968000 856227840 864032000 878182400 884768768 891904000 913309696 975175680 990412800 1015808000 1020887040 1022361600 1036838400 1053818880 1056440320 1063424000 1070284800 1088946176 1097728000 1105960960 1141637120 1218969600 1238016000 1267728384 1276108800 1277952000 1296048000 1317273600 1320550400 1327153152 1337856000 1361182720 1363148800 1369964544 1382451200 1405091840 1427046400 1523712000 1572864000 1584660480 1595136000 1625292800 1633419264 1646592000 1650688000 1658941440 1690304512 1701478400 1703936000 1712455680 1728064000 1756364800 1769537536 1783808000 1826619392 1950351360 1980825600 2031616000 2041774080 2044723200 2073676800 2107637760 2112880640 2126848000 2140569600 2177892352 2195456000 2211921920 2283274240 2437939200 2476032000 2535456768 2552217600 2555904000 2592096000 2634547200 2641100800 2654306304 2675712000 2722365440 2739929088 2764902400 2854092800 3047424000 3169320960 3190272000 3250585600 3266838528 3293184000 3301376000 3317882880 3402956800 3407872000 3424911360 3456128000 3512729600 3539075072 3567616000 3653238784 3961651200 4063232000 4083548160 4089446400 4147353600 4215275520 4225761280 4253696000 4281139200 4355784704 4390912000 4423843840 4566548480 4875878400 4952064000 5070913536 5104435200 5111808000 5184192000 5269094400 5282201600 5308612608 5351424000 5444730880 5479858176 5529804800 5708185600 6094848000 6338641920 6380544000 6533677056 6586368000 6602752000 6635765760 6805913600 6815744000 6849822720 6912256000 7025459200 7078150144 7135232000 7923302400 8126464000 8167096320 8294707200 8451522560 8507392000 8562278400 8711569408 8781824000 8847687680 9133096960 9751756800 9904128000 10208870400 10223616000 10368384000 10538188800 10564403200 10617225216 10702848000 10889461760 10959716352 11059609600 11416371200 12189696000 12677283840 12761088000 13067354112 13172736000 13205504000 13271531520 13611827200 13699645440 13824512000 14156300288 14270464000 15846604800 16252928000 16334192640 16589414400 17014784000 17124556800 17563648000 17695375360 18266193920 19808256000 20417740800 20447232000 20736768000 21076377600 21128806400 21234450432 21405696000 21778923520 22119219200 22832742400 24379392000 25354567680 25522176000 26134708224 26345472000 26411008000 26543063040 27223654400 27399290880 27649024000 28312600576 28540928000 31693209600 32668385280 33178828800 34029568000 34249113600 35127296000 35390750720 39616512000 40835481600 41473536000 42257612800 42468900864 42811392000 43557847040 44238438400 45665484800 48758784000 51044352000 52690944000 52822016000 53086126080 54447308800 54798581760 55298048000 56625201152 57081856000 63386419200 65336770560 66357657600 68059136000 68498227200 70781501440 79233024000 81670963200 82947072000 84937801728 85622784000 88476876800 91330969600 102088704000 105381888000 105644032000 106172252160 108894617600 110596096000 113250402304 114163712000 126772838400 130673541120 132715315200 136118272000 136996454400 141563002880 158466048000 163341926400 165894144000 169875603456 171245568000 176953753600 204177408000 211288064000 212344504320 217789235200 221192192000 228327424000 265430630400 272236544000 273992908800 283126005760 316932096000 326683852800 331788288000 339751206912 342491136000 353907507200 408354816000 424689008640 442384384000 456654848000 530861260800 544473088000 566252011520 633864192000 653367705600 663576576000 684982272000 707815014400 816709632000 849378017280 884768768000 1061722521600 1088946176000 1327153152000 1369964544000 1415630028800 1633419264000 1698756034560 1769537536000 2123445043200 2654306304000 2831260057600 3266838528000 3539075072000 4246890086400 5308612608000 7078150144000 8493780172800 10617225216000 14156300288000 21234450432000 42468900864000
- Sum of all divisors σ(n): 159463526756352
- Sum of proper divisors (its aliquot sum) s(n): 116994625892352
- 42468900864000 is an abundant number, because the sum of its proper divisors (116994625892352) is greater than itself. Its abundance is 74525725028352
Bases of 42468900864000
- Binary: 10011010100000000011111100000000000000000000002
- Hexadecimal: 0x26A00FC00000
- Base-36: F1XXZ25MO
Squares and roots of 42468900864000
- 42468900864000 squared (424689008640002) is 1803607540596259946496000000
- 42468900864000 cubed (424689008640003) is 76597229839145419116912568172544000000000
-
The
square root of 42468900864000 is 6516816.7738551619 -
The
cube root of 42468900864000 is 34889.1461019409
Scales and comparisons
How big is 42468900864000?- 42,468,900,864,000 seconds is equal to 1,350,379 years, 35 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 42,468,900,864,000 would take you about three million, three hundred seventy-five thousand, nine hundred forty-nine 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 42468900864000 cubic inches would be around 2907.4 feet tall.
Recreational maths with 42468900864000
- 42468900864000 backwards is 00046800986424
- The number of decimal digits it has is: 14
- The sum of 42468900864000's digits is 51
- More coming soon!
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The information we have on file for 42468900864000 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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