38680428608000
38,680,428,608,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 38680428608000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
38680428608000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 38680428608000:
29 × 53 × 19 × 412 × 127 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 41 × 41 × 127 × 149)See below for interesting mathematical facts about the number 38680428608000 from the Numbermatics database.
Names of 38680428608000
- Cardinal: 38680428608000 can be written as Thirty-eight trillion, six hundred eighty billion, four hundred twenty-eight million, six hundred eight thousand.
Scientific notation
- Scientific notation: 3.8680428608 × 1013
Factors of 38680428608000
Divisors of 38680428608000
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 41 50 64 76 80 82 95 100 125 127 128 149 152 160 164 190 200 205 250 254 256 298 304 320 328 380 400 410 475 500 508 512 596 608 635 640 656 745 760 779 800 820 950 1000 1016 1025 1192 1216 1270 1280 1312 1490 1520 1558 1600 1640 1681 1900 2000 2032 2050 2375 2384 2413 2432 2540 2560 2624 2831 2980 3040 3116 3175 3200 3280 3362 3725 3800 3895 4000 4064 4100 4750 4768 4826 4864 5080 5125 5207 5248 5662 5960 6080 6109 6232 6350 6400 6560 6724 7450 7600 7790 8000 8128 8200 8405 9500 9536 9652 9728 10160 10250 10414 10496 11324 11920 12065 12160 12218 12464 12700 12800 13120 13448 14155 14900 15200 15580 15875 16000 16256 16400 16810 18625 18923 19000 19072 19304 19475 20320 20500 20828 20992 22648 23840 24130 24320 24436 24928 25400 26035 26240 26896 28310 29800 30400 30545 31160 31750 31939 32000 32512 32800 33620 37250 37846 38000 38144 38608 38950 40640 41000 41656 42025 45296 47680 48260 48640 48872 49856 50800 52070 52480 53792 56620 59600 60325 60800 61090 62320 63500 63878 64000 65024 65600 67240 70775 74500 75692 76000 76288 77216 77900 81280 82000 83312 84050 90592 94615 95360 96520 97375 97744 98933 99712 101600 104140 104960 107584 113240 116071 119200 120650 121600 122180 124640 127000 127756 130175 131200 134480 141550 149000 151384 152000 152725 154432 155800 159695 162560 164000 166624 168100 181184 189230 190720 193040 194750 195488 197866 199424 203200 208280 210125 213487 215168 226480 232142 238400 241300 243200 244360 249280 250469 254000 255512 260350 262400 268960 283100 298000 301625 302768 304000 305450 308864 311600 319390 325120 328000 333248 336200 353875 359537 362368 378460 381440 386080 389500 390976 395732 398848 406400 416560 420250 426974 430336 452960 464284 473075 476800 482600 488720 494665 498560 500938 508000 511024 520700 524800 537920 566200 580355 596000 603250 605536 608000 610900 617728 623200 638780 650875 656000 666496 672400 707750 719074 724736 756920 763625 772160 775843 779000 781952 791464 798475 812800 833120 840500 853948 860672 905920 928568 946150 953600 965200 977440 989330 997120 1001876 1016000 1022048 1041400 1067435 1075840 1132400 1160710 1192000 1206500 1211072 1216000 1221800 1235456 1246400 1252345 1277560 1301750 1312000 1332992 1344800 1415500 1438148 1449472 1513840 1527250 1544320 1551686 1558000 1563904 1582928 1596950 1625600 1666240 1681000 1707896 1797685 1811840 1857136 1892300 1907200 1930400 1954880 1978660 1994240 2003752 2032000 2044096 2082800 2134870 2151680 2264800 2321420 2365375 2384000 2413000 2422144 2443600 2473325 2492800 2504690 2555120 2603500 2624000 2665984 2689600 2831000 2876296 2901775 3027680 3054500 3088640 3103372 3116000 3127808 3165856 3193900 3332480 3362000 3415792 3595370 3623680 3714272 3784600 3860800 3879215 3909760 3957320 3992375 4007504 4056253 4064000 4088192 4165600 4269740 4303360 4529600 4642840 4730750 4758911 4768000 4826000 4844288 4887200 4946650 4985600 5009380 5110240 5207000 5337175 5379200 5662000 5752592 5803550 6055360 6109000 6177280 6206744 6232000 6261725 6331712 6387800 6664960 6724000 6831584 7190740 7247360 7428544 7569200 7721600 7758430 7819520 7914640 7984750 8015008 8112506 8128000 8176384 8331200 8539480 8988425 9059200 9285680 9461500 9517822 9536000 9652000 9688576 9774400 9893300 9971200 10018760 10220480 10414000 10674350 10758400 11324000 11505184 11607100 12110720 12218000 12366625 12413488 12464000 12523450 12663424 12775600 13329920 13448000 13663168 14381480 14508875 14741017 14857088 15138400 15443200 15516860 15639040 15829280 15969500 16030016 16225012 16352768 16662400 17078960 17976850 18118400 18571360 18923000 19035644 19304000 19396075 19548800 19786600 20037520 20281265 20440960 20828000 21348700 21516800 22648000 23010368 23214200 23794555 24221440 24436000 24733250 24826976 24928000 25046900 25326848 25551200 26685875 26896000 27326336 28762960 29017750 29482034 29714176 30276800 30886400 31033720 31308625 31658560 31809563 31939000 32060032 32450024 33324800 34157920 35953700 36236800 37142720 37846000 38071288 38608000 38792150 39097600 39573200 40075040 40562530 40881920 41656000 42697400 44942125 45296000 46020736 46428400 47589110 48442880 48872000 49466500 49653952 49856000 50093800 50653696 51102400 53371750 53792000 54652672 57525920 58035500 58964068 59428352 60553600 62067440 62617250 63317120 63619126 63878000 64120064 64900048 66649600 68315840 71907400 73705085 74285440 75692000 76142576 77216000 77584300 78195200 79146400 80150080 81125060 81763840 83312000 85394800 89884250 90592000 92041472 92856800 95178220 96980375 97744000 98933000 99307904 100187600 101406325 102204800 106743500 107584000 109305344 115051840 116071000 117928136 118972775 121107200 124134880 125234500 126634240 127238252 127756000 128240128 129800096 136631680 143814800 147410170 148570880 151384000 152285152 154432000 155168600 158292800 159047815 160300160 162250120 166624000 170789600 179768500 181184000 184082944 185713600 190356440 193960750 195488000 197866000 198615808 200375200 202812650 204409600 213487000 230103680 232142000 235856272 237945550 242214400 248269760 250469000 253268480 254476504 255512000 259600192 273263360 287629600 294820340 297141760 302768000 304570304 310337200 316585600 318095630 320600320 324500240 333248000 341579200 359537000 368525425 371427200 380712880 387921500 390976000 395732000 397231616 400750400 405625300 408819200 426974000 460207360 464284000 471712544 475891100 496539520 500938000 507031625 508953008 511024000 519200384 546526720 575259200 589640680 594863875 604381697 605536000 609140608 620674400 633171200 636191260 641200640 649000480 683158400 719074000 737050850 742854400 761425760 775843000 791464000 795239075 801500800 811250600 853948000 920414720 928568000 943425088 951782200 993079040 1001876000 1014063250 1017906016 1022048000 1038400768 1150518400 1179281360 1189727750 1208763394 1211072000 1218281216 1241348800 1266342400 1272382520 1298000960 1366316800 1438148000 1474101700 1485708800 1522851520 1551686000 1582928000 1590478150 1603001600 1622501200 1707896000 1842627125 1857136000 1886850176 1903564400 1986158080 2003752000 2028126500 2035812032 2044096000 2076801536 2301036800 2358562720 2379455500 2417526788 2436562432 2482697600 2544765040 2596001920 2732633600 2876296000 2948203400 3021908485 3045703040 3103372000 3165856000 3180956300 3206003200 3245002400 3415792000 3685254250 3714272000 3773700352 3807128800 3976195375 4007504000 4056253000 4071624064 4602073600 4717125440 4758911000 4835053576 4965395200 5089530080 5192003840 5752592000 5896406800 6043816970 6091406080 6206744000 6331712000 6361912600 6490004800 6831584000 7370508500 7428544000 7547400704 7614257600 7952390750 8015008000 8112506000 8143248128 9434250880 9517822000 9670107152 9930790400 10179060160 10384007680 11505184000 11792813600 12087633940 12182812160 12413488000 12723825200 12980009600 13663168000 14741017000 15109542425 15228515200 15904781500 16030016000 16225012000 16286496256 18868501760 19035644000 19340214304 20358120320 23010368000 23585627200 24175267880 24826976000 25447650400 25960019200 29482034000 30219084850 30457030400 31809563000 32450024000 37737003520 38071288000 38680428608 40716240640 47171254400 48350535760 49653952000 50895300800 51920038400 58964068000 60438169700 60914060800 63619126000 64900048000 75547712125 76142576000 77360857216 81432481280 94342508800 96701071520 101790601600 117928136000 120876339400 127238252000 129800096000 151095424250 152285152000 154721714432 188685017600 193402143040 203581203200 235856272000 241752678800 254476504000 259600192000 302190848500 304570304000 309443428864 386804286080 407162406400 471712544000 483505357600 508953008000 604381697000 773608572160 943425088000 967010715200 1017906016000 1208763394000 1547217144320 1934021430400 2035812032000 2417526788000 3868042860800 4835053576000 7736085721600 9670107152000 19340214304000 38680428608000
- Sum of all divisors σ(n): 105588527616000
- Sum of proper divisors (its aliquot sum) s(n): 66908099008000
- 38680428608000 is an abundant number, because the sum of its proper divisors (66908099008000) is greater than itself. Its abundance is 28227670400000
Bases of 38680428608000
- Binary: 10001100101101111111010011010011111010000000002
- Hexadecimal: 0x232DFD34FA00
- Base-36: DPLJKHSE8
Squares and roots of 38680428608000
- 38680428608000 squared (386804286080002) is 1496175557298584817664000000
- 38680428608000 cubed (386804286080003) is 57872711829122523379085049331712000000000
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The
square root of 38680428608000 is 6219359.1798512491 -
The
cube root of 38680428608000 is 33819.2334216065
Scales and comparisons
How big is 38680428608000?- 38,680,428,608,000 seconds is equal to 1,229,917 years, 51 weeks, 22 hours, 13 minutes, 20 seconds.
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To count from 1 to 38,680,428,608,000 would take you about three million, seventy-four thousand, seven hundred ninety-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 38680428608000 cubic inches would be around 2818.3 feet tall.
Recreational maths with 38680428608000
- 38680428608000 backwards is 00080682408683
- The number of decimal digits it has is: 14
- The sum of 38680428608000's digits is 53
- More coming soon!
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The information we have on file for 38680428608000 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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