42704406742400
42,704,406,742,400 is an even composite number composed of six prime numbers multiplied together.
42704406742400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42704406742400:
27 × 52 × 13 × 37 × 127 × 218461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 37 × 127 × 218461)See below for interesting mathematical facts about the number 42704406742400 from the Numbermatics database.
Names of 42704406742400
- Cardinal: 42704406742400 can be written as Forty-two trillion, seven hundred four billion, four hundred six million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.27044067424 × 1013
Factors of 42704406742400
Divisors of 42704406742400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 100 104 127 128 130 148 160 185 200 208 254 260 296 320 325 370 400 416 481 508 520 592 635 640 650 740 800 832 925 962 1016 1040 1184 1270 1300 1480 1600 1651 1664 1850 1924 2032 2080 2368 2405 2540 2600 2960 3175 3200 3302 3700 3848 4064 4160 4699 4736 4810 5080 5200 5920 6350 6604 7400 7696 8128 8255 8320 9398 9620 10160 10400 11840 12025 12700 13208 14800 15392 16256 16510 18796 19240 20320 20800 23495 23680 24050 25400 26416 29600 30784 33020 37592 38480 40640 41275 41600 46990 48100 50800 52832 59200 61087 61568 66040 75184 76960 81280 82550 93980 96200 101600 105664 117475 118400 122174 132080 150368 153920 165100 187960 192400 203200 211328 218461 234950 244348 264160 300736 305435 307840 330200 375920 384800 406400 436922 469900 488696 528320 601472 610870 660400 751840 769600 873844 939800 977392 1056640 1092305 1221740 1320800 1503680 1527175 1539200 1747688 1879600 1954784 2184610 2443480 2641600 2839993 3007360 3054350 3495376 3759200 3909568 4369220 4886960 5283200 5461525 5679986 6108700 6990752 7518400 7819136 8083057 8738440 9773920 10923050 11359972 12217400 13981504 14199965 15036800 16166114 17476880 19547840 21846100 22719944 24434800 27744547 27963008 28399930 32332228 34953760 39095680 40415285 43692200 45439888 48869600 55489094 56799860 64664456 69907520 70999825 80830570 87384400 90879776 97739200 105079741 110978188 113599720 129328912 138722735 139815040 141999650 161661140 174768800 181759552 195478400 202076425 210159482 221956376 227199440 258657824 277445470 283999300 323322280 349537600 360679111 363519104 404152850 420318964 443912752 454398880 517315648 525398705 554890940 567998600 646644560 693613675 699075200 721358222 808305700 840637928 887825504 908797760 1026548239 1034631296 1050797410 1109781880 1135997200 1293289120 1387227350 1442716444 1616611400 1681275856 1775651008 1803395555 1817595520 2053096478 2101594820 2219563760 2271994400 2586578240 2626993525 2774454700 2885432888 3233222800 3362551712 3551302016 3606791110 4106192956 4203189640 4439127520 4543988800 5132741195 5173156480 5253987050 5548909400 5770865776 6466445600 6725103424 7213582220 8212385912 8406379280 8878255040 9016977775 9087977600 10265482390 10507974100 11097818800 11541731552 12932891200 13345127107 13450206848 14427164440 16424771824 16812758560 17756510080 18033955550 20530964780 21015948200 22195637600 23083463104 25663705975 25865782400 26690254214 28854328880 32849543648 33625517120 36067911100 41061929560 42031896400 44391275200 46166926208 51327411950 53380508428 57708657760 65699087296 66725635535 67251034240 72135822200 82123859120 84063792800 88782550400 102654823900 106761016856 115417315520 131398174592 133451271070 144271644400 164247718240 168127585600 205309647800 213522033712 230834631040 266902542140 288543288800 328495436480 333628177675 336255171200 410619295600 427044067424 533805084280 577086577600 656990872960 667256355350 821238591200 854088134848 1067610168560 1154173155200 1334512710700 1642477182400 1708176269696 2135220337120 2669025421400 3284954364800 4270440674240 5338050842800 8540881348480 10676101685600 21352203371200 42704406742400
- Sum of all divisors σ(n): 117597849922560
- Sum of proper divisors (its aliquot sum) s(n): 74893443180160
- 42704406742400 is an abundant number, because the sum of its proper divisors (74893443180160) is greater than itself. Its abundance is 32189036437760
Bases of 42704406742400
- Binary: 10011011010110111001001111111010000101100000002
- Hexadecimal: 0x26D6E4FE8580
- Base-36: F4Y4T6GE8
Squares and roots of 42704406742400
- 42704406742400 squared (427044067424002) is 1823666355220338579957760000
- 42704406742400 cubed (427044067424003) is 77878589795759460291559007651201024000000
-
The
square root of 42704406742400 is 6534860.8816408633 -
The
cube root of 42704406742400 is 34953.5183634993
Scales and comparisons
How big is 42704406742400?- 42,704,406,742,400 seconds is equal to 1,357,868 years, 2 weeks, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 42,704,406,742,400 would take you about three million, three hundred ninety-four thousand, six hundred seventy 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 42704406742400 cubic inches would be around 2912.8 feet tall.
Recreational maths with 42704406742400
- 42704406742400 backwards is 00424760440724
- The number of decimal digits it has is: 14
- The sum of 42704406742400's digits is 44
- More coming soon!
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