42038398402000
42,038,398,402,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42038398402000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
42038398402000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42038398402000:
24 × 53 × 72 × 11 × 13 × 1723 × 1741
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 13 × 1723 × 1741)See below for interesting mathematical facts about the number 42038398402000 from the Numbermatics database.
Names of 42038398402000
- Cardinal: 42038398402000 can be written as Forty-two trillion, thirty-eight billion, three hundred ninety-eight million, four hundred two thousand.
Scientific notation
- Scientific notation: 4.2038398402 × 1013
Factors of 42038398402000
Divisors of 42038398402000
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 35 40 44 49 50 52 55 56 65 70 77 80 88 91 98 100 104 110 112 125 130 140 143 154 175 176 182 196 200 208 220 245 250 260 275 280 286 308 325 350 364 385 392 400 440 455 490 500 520 539 550 560 572 616 637 650 700 715 728 770 784 875 880 910 980 1000 1001 1040 1078 1100 1144 1225 1232 1274 1300 1375 1400 1430 1456 1540 1625 1723 1741 1750 1820 1925 1960 2000 2002 2156 2200 2275 2288 2450 2548 2600 2695 2750 2800 2860 3080 3185 3250 3446 3482 3500 3575 3640 3850 3920 4004 4312 4400 4550 4900 5005 5096 5200 5390 5500 5720 6125 6160 6370 6500 6892 6964 7000 7007 7150 7280 7700 8008 8615 8624 8705 9100 9625 9800 10010 10192 10780 11000 11375 11440 12061 12187 12250 12740 13000 13475 13784 13928 14000 14014 14300 15400 15925 16016 17230 17410 17875 18200 18953 19151 19250 19600 20020 21560 22000 22399 22633 22750 24122 24374 24500 25025 25480 26000 26950 27568 27856 28028 28600 30800 31850 34460 34820 35035 35750 36400 37906 38302 38500 40040 43075 43120 43525 44798 45266 45500 48244 48748 49000 50050 50960 53900 56056 57200 60305 60935 63700 67375 68920 69640 70070 71500 75812 76604 77000 79625 80080 84427 85309 86150 87050 89596 90532 91000 94765 95755 96488 97496 98000 100100 107800 111995 112112 113165 120610 121870 125125 127400 132671 134057 134750 137840 139280 140140 143000 151624 153208 154000 156793 158431 159250 168854 170618 172300 174100 175175 179192 181064 182000 189530 191510 192976 194992 200200 215375 215600 217625 223990 226330 241220 243740 246389 248963 250250 254800 265342 268114 269500 280280 286000 301525 303248 304675 306416 313586 316862 318500 337708 341236 344600 348200 350350 358384 362128 379060 383020 400400 422135 426545 430750 435250 447980 452660 473825 478775 482440 487480 492778 497926 500500 530684 536228 539000 559975 560560 565825 603050 609350 627172 633724 637000 663355 670285 675416 682472 689200 696400 700700 758120 766040 783965 792155 844270 853090 861500 870500 875875 895960 905320 928697 938399 947650 957550 964880 974960 985556 995852 1001000 1061368 1072456 1078000 1097551 1109017 1119950 1131650 1206100 1218700 1231945 1244815 1254344 1267448 1274000 1326710 1340570 1350832 1364944 1401400 1507625 1516240 1523375 1532080 1567930 1584310 1688540 1706180 1723000 1724723 1741000 1742741 1751750 1791920 1810640 1857394 1876798 1895300 1915100 1971112 1991704 2002000 2110675 2122736 2132725 2144912 2195102 2218034 2239900 2263300 2369125 2393875 2412200 2437400 2463890 2489630 2508688 2534896 2653420 2681140 2799875 2802800 2829125 2999743 3015250 3046750 3135860 3168620 3316775 3351425 3377080 3412360 3446000 3449446 3482000 3485482 3503500 3714788 3753596 3790600 3830200 3919825 3942224 3960775 3983408 4221350 4265450 4390204 4436068 4479800 4526600 4643485 4691995 4738250 4787750 4824400 4874800 4927780 4979260 5306840 5362280 5487755 5545085 5599750 5658250 5999486 6030500 6093500 6159725 6224075 6271720 6337240 6633550 6702850 6754160 6824720 6898892 6970964 7007000 7429576 7507192 7581200 7660400 7839650 7921550 8442700 8530900 8623615 8713705 8780408 8872136 8959600 9053200 9286970 9383990 9476500 9575500 9855560 9958520 10553375 10613680 10663625 10724560 10975510 11090170 11199500 11316500 11998972 12061000 12073061 12187000 12199187 12319450 12448150 12543440 12674480 13267100 13405700 13797784 13941928 14014000 14859152 14998715 15014384 15679300 15843100 16583875 16757125 16885400 17061800 17247230 17427410 17560816 17744272 18573940 18767980 18953000 19151000 19599125 19711120 19803875 19917040 20998201 21106750 21327250 21951020 22180340 22399000 22633000 23217425 23459975 23997944 24122000 24146122 24374000 24398374 24638900 24896300 26534200 26811400 27438775 27595568 27725425 27883856 29997430 30798625 31120375 31358600 31686200 32997173 33167750 33514250 33770800 34123600 34494460 34854820 37147880 37535960 37906000 38302000 38996659 39198250 39607750 41996402 42213500 42654500 43118075 43568525 43902040 44360680 44798000 45266000 46434850 46919950 47995888 48292244 48796748 49277800 49792600 53068400 53622800 54877550 55450850 59994860 60365305 60995935 61597250 62240750 62717200 63372400 65994346 66335500 67028500 68988920 69709640 74295760 74993575 75071920 77993318 78396500 79215500 83992804 84427000 85309000 86236150 87137050 87804080 88721360 92869700 93839900 96584488 97593496 98555600 99585200 104991005 109755100 110901700 116087125 117299875 119989720 120730610 121991870 123194500 124481500 131988692 132671000 134057000 137193875 137977840 138627125 139419280 146987407 149987150 155986636 156793000 158431000 164985865 167985608 168854000 170618000 172472300 174274100 185739400 187679800 193168976 194983295 195186992 209982010 215590375 217842625 219510200 221803400 230980211 232174250 234599750 239979440 241461220 243983740 246389000 248963000 263977384 265342000 268114000 272976613 274387750 277254250 293974814 299974300 301826525 304979675 311973272 313586000 316862000 329971730 335971216 344944600 348548200 371478800 374967875 375359600 389966590 419964020 428963249 431180750 435685250 439020400 443606800 461960422 464348500 469199500 482922440 487967480 492778000 497926000 524955025 527954768 545953226 548775500 554508500 587949628 599948600 603653050 609959350 623946544 659943460 689889200 697096400 734937035 749935750 779933180 824929325 839928040 857926498 862361500 871370500 923920844 928697000 938399000 965844880 974916475 975934960 1049910050 1091906452 1097551000 1109017000 1154901055 1175899256 1199897200 1207306100 1219918700 1319886920 1364883065 1469874070 1499871500 1509132625 1524898375 1559866360 1616861477 1649858650 1679856080 1715852996 1724723000 1742741000 1847841688 1857394000 1876798000 1910836291 1949832950 2099820100 2144816245 2183812904 2195102000 2218034000 2309802110 2351798512 2414612200 2439837400 2624775125 2639773840 2729766130 2939748140 2999743000 3002742743 3018265250 3049796750 3119732720 3233722954 3299717300 3431705992 3449446000 3485482000 3674685175 3695683376 3821672582 3899665900 4124646625 4199640200 4289632490 4367625808 4619604220 4829224400 4874582375 4879674800 5249550250 5459532260 5774505275 5879496280 5999486000 6005485486 6036530500 6099593500 6467445908 6599434600 6824415325 6863411984 7349370350 7643345164 7799331800 8084307385 8249293250 8399280400 8579264980 9239208440 9554181455 9749164750 10499100500 10724081225 10919064520 11549010550 11758992560 12010970972 12073061000 12199187000 12934891816 13198869200 13648830650 14698740700 15013713715 15286690328 15598663600 16168614770 16498586500 17158529960 18373425875 18478416880 19108362910 19498329500 20998201000 21019199201 21448162450 21838129040 23098021100 24021941944 24146122000 24398374000 25869783632 27297661300 28872526375 29397481400 30027427430 30573380656 32337229540 32997173000 34122076625 34317059920 36746851750 38216725820 38996659000 40421536925 41996402000 42038398402 42896324900 46196042200 47770907275 48043883888 53620406125 54595322600 57745052750 58794962800 60054854860 64674459080 65994346000 68244153250 73493703500 75068568575 76433451640 77993318000 80843073850 84076796804 85792649800 92392084400 95541814550 105095996005 107240812250 109190645200 115490105500 120109709720 129348918160 136488306500 146987407000 150137137150 152866903280 161686147700 168153593608 171585299600 191083629100 202107684625 210191992010 214481624500 230980211000 238854536375 240219419440 272976613000 293974814000 300274274300 323372295400 336307187216 375342842875 382167258200 404215369250 420383984020 428963249000 461960422000 477709072750 525479980025 545953226000 600548548600 646744590800 750685685750 764334516400 808430738500 840767968040 857926498000 955418145500 1050959960050 1201097097200 1501371371500 1616861477000 1681535936080 1910836291000 2101919920100 2627399900125 3002742743000 3233722954000 3821672582000 4203839840200 5254799800250 6005485486000 8407679680400 10509599600500 21019199201000 42038398402000
- Sum of all divisors σ(n): 139077168991488
- Sum of proper divisors (its aliquot sum) s(n): 97038770589488
- 42038398402000 is an abundant number, because the sum of its proper divisors (97038770589488) is greater than itself. Its abundance is 55000372187488
Bases of 42038398402000
- Binary: 10011000111011110100111100110110111101110100002
- Hexadecimal: 0x263BD3CDBDD0
- Base-36: EWG690C0G
Squares and roots of 42038398402000
- 42038398402000 squared (420383984020002) is 1767226940205276153604000000
- 42038398402000 cubed (420383984020003) is 74291390179096830607635100140808000000000
-
The
square root of 42038398402000 is 6483702.5226331907 -
The
cube root of 42038398402000 is 34770.8563864091
Scales and comparisons
How big is 42038398402000?- 42,038,398,402,000 seconds is equal to 1,336,691 years, 1 week, 6 days, 1 hour, 26 minutes, 40 seconds.
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To count from 1 to 42,038,398,402,000 would take you about three million, three hundred forty-one thousand, seven hundred twenty-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 42038398402000 cubic inches would be around 2897.6 feet tall.
Recreational maths with 42038398402000
- 42038398402000 backwards is 00020489383024
- The number of decimal digits it has is: 14
- The sum of 42038398402000's digits is 43
- More coming soon!
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The information we have on file for 42038398402000 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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