42956940634400
42,956,940,634,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42956940634400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
42956940634400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 42956940634400:
25 × 52 × 13 × 312 × 1372 × 229
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 31 × 31 × 137 × 137 × 229)See below for interesting mathematical facts about the number 42956940634400 from the Numbermatics database.
Names of 42956940634400
- Cardinal: 42956940634400 can be written as Forty-two trillion, nine hundred fifty-six billion, nine hundred forty million, six hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.29569406344 × 1013
Factors of 42956940634400
Divisors of 42956940634400
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 62 65 80 100 104 124 130 137 155 160 200 208 229 248 260 274 310 325 400 403 416 458 496 520 548 620 650 685 775 800 806 916 961 992 1040 1096 1145 1240 1300 1370 1550 1612 1781 1832 1922 2015 2080 2192 2290 2480 2600 2740 2977 3100 3224 3425 3562 3664 3844 4030 4247 4384 4580 4805 4960 5200 5480 5725 5954 6200 6448 6850 7099 7124 7328 7688 8060 8494 8905 9160 9610 10075 10400 10960 11450 11908 12400 12493 12896 13700 14198 14248 14885 15376 16120 16988 17810 18320 18769 19220 20150 21235 21920 22900 23816 24025 24800 24986 27400 28396 28496 29770 30752 31373 32240 33976 35495 35620 36640 37538 38440 40300 42470 44525 45800 47632 48050 49972 54800 55211 56792 56992 59540 62465 62746 64480 67952 70990 71240 74425 75076 76880 80600 84940 89050 91600 92287 93845 95264 96100 99944 106175 109600 110422 113584 119080 124930 125492 131657 135904 141980 142480 148850 150152 153760 156865 161200 169880 177475 178100 183200 184574 187690 192200 199888 212350 220069 220844 227168 238160 243997 249860 250984 263314 276055 283960 284960 297700 300304 312325 313730 322400 339760 354950 356200 369148 375380 384400 399776 407849 424700 440138 441688 461435 469225 476320 487994 499720 501968 526628 552110 567920 581839 595400 600608 624650 627460 658285 679520 709900 712400 738296 750760 768800 784325 815698 849400 880276 883376 922870 938450 972563 975988 999440 1003936 1053256 1100345 1104220 1135840 1163678 1190800 1219985 1249300 1254920 1316570 1380275 1419800 1424800 1476592 1501520 1568650 1631396 1698800 1711541 1760552 1766752 1845740 1876900 1945126 1951976 1998880 2039245 2106512 2200690 2208440 2307175 2327356 2381600 2439970 2498600 2509840 2633140 2760550 2839600 2860897 2909195 2953184 3003040 3137300 3262792 3291425 3397600 3423082 3521104 3691480 3753800 3890252 3903952 4078490 4213024 4298101 4401380 4416880 4614350 4654712 4862815 4879940 4997200 5019680 5266280 5501725 5521100 5679200 5721794 5818390 6099925 6274600 6525584 6582850 6846164 7042208 7382960 7507600 7563907 7780504 7807904 8156980 8557705 8596202 8802760 8833760 9228700 9309424 9725630 9759880 9994400 10196225 10532560 11003450 11042200 11443588 11636780 12199850 12549200 12643319 13051168 13165700 13692328 14304485 14545975 14765920 15015200 15127814 15561008 16313960 17115410 17192404 17605520 18037009 18457400 18618848 19451260 19519760 20392450 21065120 21490505 22006900 22084400 22887176 23273560 24314075 24399700 25098400 25286638 26331400 27384656 28608970 29091950 30149453 30255628 31122016 32627920 34230820 34384808 35211040 36074018 36914800 37819535 38902520 39039520 40784900 42788525 42981010 44013800 44168800 45774352 46547120 48628150 48799400 50573276 52662800 54769312 55875313 57217940 58183900 60298906 60511256 63216595 65255840 68461640 68769616 71522425 72148036 73829600 75639070 77805040 81569800 85577050 85962020 88027600 90185045 91548704 93094240 97256300 97598800 101146552 105325600 107452525 111750626 114435880 116367800 120597812 121022512 126433190 133241131 136923280 137539232 143044850 144296072 150747265 151278140 155610080 163139600 171154100 171924040 176055200 180370090 189097675 194512600 195197600 202293104 214905050 223501252 228871760 232735600 234481117 241195624 242045024 252866380 266482262 273846560 279376565 286089700 288592144 301494530 302556280 316082975 326279200 342308200 343848080 360740180 378195350 389025200 391942889 404586208 429810100 447002504 450925225 457743520 465471200 468962234 482391248 505732760 532964524 558753130 572179400 577184288 602989060 605112560 632165950 666205655 684616400 687696160 721480360 753736325 756390700 778050400 783885778 859620200 894005008 901850450 937924468 964782496 1011465520 1065929048 1117506260 1144358800 1172405585 1205978120 1210225120 1264331900 1332411310 1369232800 1396882825 1442960720 1507472650 1512781400 1567771556 1719240400 1732134703 1788010016 1803700900 1875848936 1959714445 2022931040 2131858096 2235012520 2288717600 2344811170 2411956240 2528663800 2664822620 2793765650 2885921440 3014945300 3025562800 3135543112 3331028275 3438480800 3464269406 3607401800 3751697872 3919428890 4130475061 4263716192 4470025040 4689622340 4823912480 5057327600 5329645240 5587531300 5862027925 6029890600 6051125600 6271086224 6662056550 6928538812 7214803600 7503395744 7838857780 8260950122 8660673515 8940050080 9379244680 9798572225 10114655200 10659290480 11175062600 11724055850 12059781200 12542172448 13324113100 13857077624 14429607200 15677715560 16521900244 17321347030 18758489360 19597144450 20652375305 21318580960 22350125200 23448111700 24119562400 26648226200 27714155248 31355431120 33043800488 34642694060 37516978720 39194288900 41304750610 43303367575 44700250400 46896223400 53296452400 53696175793 55428310496 62710862240 66087600976 69285388120 78388577800 82609501220 86606735150 93792446800 103261876525 106592904800 107392351586 132175201952 138570776240 156777155600 165219002440 173213470300 187584893600 206523753050 214784703172 268480878965 277141552480 313554311200 330438004880 346426940600 413047506100 429569406344 536961757930 660876009760 692853881200 826095012200 859138812688 1073923515860 1342404394825 1385707762400 1652190024400 1718277625376 2147847031720 2684808789650 3304380048800 4295694063440 5369617579300 8591388126880 10739235158600 21478470317200 42956940634400
- Sum of all divisors σ(n): 118067396757660
- Sum of proper divisors (its aliquot sum) s(n): 75110456123260
- 42956940634400 is an abundant number, because the sum of its proper divisors (75110456123260) is greater than itself. Its abundance is 32153515488860
Bases of 42956940634400
- Binary: 10011100010001101100010010111111101001001000002
- Hexadecimal: 0x2711B12FE920
- Base-36: F8659C6JK
Squares and roots of 42956940634400
- 42956940634400 squared (429569406344002) is 1845298748667365874463360000
- 42956940634400 cubed (429569406344003) is 79268388799236641981946998477955584000000
-
The
square root of 42956940634400 is 6554154.4560988185 -
The
cube root of 42956940634400 is 35022.2825821557
Scales and comparisons
How big is 42956940634400?- 42,956,940,634,400 seconds is equal to 1,365,897 years, 43 weeks, 3 days, 21 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,956,940,634,400 would take you about three million, four hundred fourteen thousand, seven hundred forty-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 42956940634400 cubic inches would be around 2918.5 feet tall.
Recreational maths with 42956940634400
- 42956940634400 backwards is 00443604965924
- The number of decimal digits it has is: 14
- The sum of 42956940634400's digits is 56
- More coming soon!
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The information we have on file for 42956940634400 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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