42068102684400
42,068,102,684,400 is an even composite number composed of seven prime numbers multiplied together.
42068102684400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 42068102684400:
24 × 34 × 52 × 13 × 192 × 232 × 523
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 19 × 19 × 23 × 23 × 523)See below for interesting mathematical facts about the number 42068102684400 from the Numbermatics database.
Names of 42068102684400
- Cardinal: 42068102684400 can be written as Forty-two trillion, sixty-eight billion, one hundred two million, six hundred eighty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.20681026844 × 1013
Factors of 42068102684400
Divisors of 42068102684400
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 23 24 25 26 27 30 36 38 39 40 45 46 48 50 52 54 57 60 65 69 72 75 76 78 80 81 90 92 95 100 104 108 114 115 117 120 130 135 138 144 150 152 156 162 171 180 184 190 195 200 207 208 216 225 228 230 234 240 247 260 270 276 285 299 300 304 312 324 325 342 345 351 360 361 368 380 390 400 405 414 432 437 450 456 460 468 475 494 513 520 523 529 540 552 570 575 585 598 600 621 624 648 650 675 684 690 702 720 722 741 760 780 810 828 855 874 897 900 912 920 936 950 975 988 1026 1035 1040 1046 1053 1058 1080 1083 1104 1140 1150 1170 1196 1200 1235 1242 1296 1300 1311 1350 1368 1380 1404 1425 1444 1482 1495 1520 1539 1560 1569 1587 1620 1656 1710 1725 1748 1755 1794 1800 1805 1840 1863 1872 1900 1950 1976 2025 2052 2070 2092 2106 2116 2160 2166 2185 2223 2280 2300 2340 2392 2470 2484 2565 2600 2615 2622 2645 2691 2700 2736 2760 2808 2850 2888 2925 2964 2990 3078 3105 3120 3138 3174 3240 3249 3312 3420 3450 3496 3510 3588 3600 3610 3705 3726 3800 3900 3933 3952 4050 4104 4140 4184 4212 4232 4275 4332 4370 4446 4485 4560 4600 4680 4693 4707 4761 4784 4940 4968 5130 5175 5200 5230 5244 5265 5290 5382 5400 5415 5520 5616 5681 5700 5776 5850 5928 5980 6156 6175 6210 6276 6348 6480 6498 6555 6669 6799 6840 6877 6900 6992 7020 7176 7220 7410 7452 7475 7600 7695 7800 7845 7866 7935 8073 8100 8208 8280 8303 8368 8424 8464 8550 8664 8740 8775 8892 8970 9025 9200 9315 9360 9386 9414 9522 9747 9880 9936 9937 10051 10260 10350 10460 10488 10530 10580 10764 10800 10830 10925 11115 11362 11400 11700 11799 11856 11960 12029 12312 12350 12420 12552 12696 12825 12996 13075 13110 13225 13338 13455 13598 13680 13754 13800 14040 14079 14121 14283 14352 14440 14820 14904 14950 15390 15525 15600 15690 15732 15870 16146 16200 16245 16560 16606 16848 17043 17100 17328 17480 17550 17784 17940 18050 18525 18630 18772 18828 19044 19494 19665 19760 19874 20007 20102 20397 20520 20631 20700 20920 20976 21060 21160 21528 21660 21850 22230 22425 22724 22800 23400 23465 23535 23598 23805 23920 24058 24219 24624 24700 24840 24909 25104 25392 25650 25992 26150 26220 26325 26450 26676 26910 27075 27196 27508 27600 28080 28158 28242 28405 28566 28880 29241 29640 29808 29811 29900 30153 30780 31050 31380 31464 31740 32292 32400 32490 32775 33212 33345 33995 34086 34200 34385 34960 35100 35397 35568 35880 36087 36100 37050 37260 37544 37656 38088 38475 38988 39225 39330 39675 39748 40014 40204 40365 40794 41040 41262 41400 41515 41840 42120 42237 42320 42363 42849 43056 43320 43700 44460 44850 45448 46575 46800 46930 47070 47196 47610 48116 48438 48735 49400 49680 49685 49818 50255 51129 51300 51984 52300 52440 52650 52900 53352 53820 54150 54392 55016 55575 56316 56484 56810 57132 58482 58995 59280 59622 59800 60145 60306 61191 61560 61893 62100 62760 62928 63480 64584 64980 65550 66424 66690 67275 67990 68172 68400 68770 70200 70395 70605 70794 71415 71760 72174 72200 74100 74520 74727 75088 75312 76176 76950 77976 78450 78660 79350 79496 80028 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19253136240 19422023400 19475973465 19880955900 19975357400 20109035700 20322754920 20501024700 20774371696 21289525650 21573385992 22141106676 22472277075 22580838800 22863099285 23306428080 23371168158 23449332600 23970428880 24066420300 24387305904 24601229640 25403443650 25967964620 26507941200 26812047600 26966732490 27334699600 27676383345 28139199120 28386034200 29133035100 29521475568 29963036100 30484132380 30751537050 31161557544 32088560400 32360078988 32459955775 33871258200 34063241040 35056752237 35173998900 35955643320 36580958856 36901844460 38105165475 38844046800 38951946930 39761911800 39950714800 40218071400 40450098735 40645509840 41002049400 42579051300 43146771984 44282213352 44944554150 45726198570 46127305575 46742336316 46898665200 48132840600 49202459280 50806887300 51935929240 53933464980 55352766690 56772068400 58266070200 58427920395 59926072200 60968264760 61503074100 62323115088 64720157976 64919911550 67416831225 67742516400 70113504474 70347997800 71911286640 73161917712 73803688920 76210330950 77903893860 79523823600 80436142800 80900197470 82004098800 85158102600 88564426704 89889108300 91452397140 92254611150 93484672632 96265681200 97379867325 101613774600 103871858480 105170256711 107866929960 110705533380 114315496425 116532140400 116855840790 119852144400 121936529520 123006148200 129440315952 129839823100 134833662450 138381916725 140227008948 140695995600 147607377840 152420661900 155807787720 161800394940 170316205200 175283761185 179778216600 182904794280 184509222300 186969345264 194759734650 202250493675 203227549200 210340513422 215733859920 221411066760 228630992850 233711681580 246012296400 259679646200 269667324900 276763833450 280454017896 292139601975 304841323800 311615575440 323600789880 350567522370 359556433200 365809588560 369018444600 389519469300 404500987350 420681026844 442822133520 457261985700 467423363160 519359292400 525851283555 539334649800 553527666900 560908035792 584279203950 609682647600 647201579760 701135044740 738036889200 779038938600 809001974700 841362053688 876418805925 914523971400 934846726320 1051702567110 1078669299600 1107055333800 1168558407900 1402270089480 1558077877200 1618003949400 1682724107376 1752837611850 1829047942800 2103405134220 2214110667600 2337116815800 2629256417775 2804540178960 3236007898800 3505675223700 4206810268440 4674233631600 5258512835550 7011350447400 8413620536880 10517025671100 14022700894800 21034051342200 42068102684400
- Sum of all divisors σ(n): 179729012289288
- Sum of proper divisors (its aliquot sum) s(n): 137660909604888
- 42068102684400 is an abundant number, because the sum of its proper divisors (137660909604888) is greater than itself. Its abundance is 95592806920488
Bases of 42068102684400
- Binary: 10011001000010101111100101000100011110111100002
- Hexadecimal: 0x2642BE511EF0
- Base-36: EWTTI6700
Squares and roots of 42068102684400
- 42068102684400 squared (420681026844002) is 1769725263465222486003360000
- 42068102684400 cubed (420681026844003) is 74448984106631823309481190243419584000000
-
The
square root of 42068102684400 is 6485992.8063789895 -
The
cube root of 42068102684400 is 34779.0441401729
Scales and comparisons
How big is 42068102684400?- 42,068,102,684,400 seconds is equal to 1,337,635 years, 28 weeks, 15 hours.
-
To count from 1 to 42,068,102,684,400 would take you about three million, three hundred forty-four thousand and eighty-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 42068102684400 cubic inches would be around 2898.3 feet tall.
Recreational maths with 42068102684400
- 42068102684400 backwards is 00448620186024
- 42068102684400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42068102684400's digits is 45
- More coming soon!
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Cite this page
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"Number 42068102684400 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 42068102684400 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/42068102684400/
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The information we have on file for 42068102684400 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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