134340806400
134,340,806,400 is an even composite number composed of seven prime numbers multiplied together.
134340806400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 134340806400:
28 × 3 × 52 × 29 × 31 × 43 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 31 × 43 × 181)See below for interesting mathematical facts about the number 134340806400 from the Numbermatics database.
Names of 134340806400
- Cardinal: 134340806400 can be written as One hundred thirty-four billion, three hundred forty million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.343408064 × 1011
Factors of 134340806400
Divisors of 134340806400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 31 32 40 43 48 50 58 60 62 64 75 80 86 87 93 96 100 116 120 124 128 129 145 150 155 160 172 174 181 186 192 200 215 232 240 248 256 258 290 300 310 320 344 348 362 372 384 400 430 435 464 465 480 496 516 543 580 600 620 640 645 688 696 724 725 744 768 775 800 860 870 899 905 928 930 960 992 1032 1075 1086 1160 1200 1240 1247 1280 1290 1333 1376 1392 1448 1450 1488 1550 1600 1720 1740 1798 1810 1856 1860 1920 1984 2064 2150 2172 2175 2320 2325 2400 2480 2494 2580 2666 2697 2715 2752 2784 2896 2900 2976 3100 3200 3225 3440 3480 3596 3620 3712 3720 3741 3840 3968 3999 4128 4300 4344 4350 4495 4525 4640 4650 4800 4960 4988 5160 5249 5332 5394 5430 5504 5568 5611 5792 5800 5952 6200 6235 6400 6450 6665 6880 6960 7192 7240 7424 7440 7482 7783 7936 7998 8256 8600 8688 8700 8990 9050 9280 9300 9600 9920 9976 10320 10498 10664 10788 10860 11008 11136 11222 11584 11600 11904 12400 12470 12900 13330 13485 13575 13760 13920 14384 14480 14880 14964 15566 15747 15996 16512 16833 17200 17376 17400 17980 18100 18560 18600 18705 19200 19840 19952 19995 20640 20996 21328 21576 21720 22272 22444 22475 23168 23200 23349 23808 24800 24940 25800 26245 26660 26970 27150 27520 27840 28055 28768 28960 29760 29928 31132 31175 31494 31992 33024 33325 33666 34400 34752 34800 35960 36200 37120 37200 37410 38657 38915 39680 39904 39990 41280 41992 42656 43152 43440 44888 44950 46336 46400 46698 49600 49880 51600 52490 53320 53940 54300 55040 55680 56110 57536 57920 59520 59856 62264 62350 62988 63984 66650 67332 67425 68800 69504 69600 71920 72400 74400 74820 77314 77830 78735 79808 79980 82560 83984 84165 85312 86304 86880 89776 89900 92800 93396 93525 99200 99760 99975 103200 104980 106640 107880 108600 111360 112220 115072 115840 115971 116745 119040 119712 124528 124700 125976 127968 131225 133300 134664 134850 137600 139008 139200 140275 143840 144800 148800 149640 154628 155660 157470 159616 159960 162719 165120 167968 168330 170624 172608 173760 179552 179800 185600 186792 187050 193285 194575 198400 199520 199950 206400 209960 213280 215760 217200 224440 225707 230144 231680 231942 233490 239424 241273 249056 249400 251952 255936 262450 266600 269328 269700 275200 278400 280550 287680 289600 297600 299280 309256 311320 314940 319232 319920 325438 335936 336660 341248 345216 347520 359104 359600 373584 374100 386570 389150 393675 399040 399900 412800 419920 420825 426560 431520 434400 448880 451414 463884 466980 478848 482546 488157 498112 498800 503904 511872 524900 533200 538656 539400 556800 561100 575360 579200 579855 583725 595200 598560 618512 622640 629880 639840 650876 671872 673320 677121 690432 695040 718208 719200 723819 747168 748200 773140 778300 787350 798080 799800 813595 825600 839840 841650 853120 863040 868800 897760 902828 927768 933960 957696 965092 966425 976314 996224 997600 1007808 1023744 1049800 1066400 1077312 1078800 1122200 1128535 1150720 1158400 1159710 1167450 1197120 1206365 1237024 1245280 1259760 1279680 1301752 1343744 1346640 1354242 1436416 1438400 1447638 1494336 1496400 1546280 1556600 1574700 1596160 1599600 1627190 1679680 1683300 1706240 1726080 1737600 1795520 1805656 1855536 1867920 1930184 1932850 1952628 1992448 1995200 2015616 2099600 2132800 2154624 2157600 2244400 2257070 2319420 2334900 2394240 2412730 2440785 2474048 2490560 2519520 2559360 2603504 2693280 2708484 2876800 2895276 2899275 2988672 2992800 3092560 3113200 3149400 3199200 3254380 3359360 3366600 3385605 3452160 3475200 3591040 3611312 3619095 3711072 3735840 3860368 3865700 3905256 3990400 4031232 4067975 4199200 4265600 4309248 4315200 4488800 4514140 4638840 4669800 4788480 4825460 4881570 4948096 4981120 5039040 5118720 5207008 5386560 5416968 5642675 5753600 5790552 5798550 5977344 5985600 6031825 6185120 6226400 6298800 6398400 6508760 6718720 6733200 6771210 6996917 7182080 7222624 7238190 7422144 7471680 7720736 7731400 7810512 7980800 8135950 8398400 8531200 8630400 8977600 9028280 9277680 9339600 9650920 9763140 9896192 9962240 10078080 10414016 10773120 10833936 11285350 11581104 11597100 11971200 12063650 12203925 12370240 12452800 12597600 12796800 13017520 13466400 13542420 13993834 14445248 14476380 14844288 14943360 15441472 15462800 15621024 16271900 16796800 16928025 17260800 17955200 18056560 18095475 18555360 18679200 19301840 19526280 20156160 20828032 20990751 21546240 21667872 22570700 23162208 23194200 23942400 24127300 24407850 24740480 24905600 25195200 25593600 26035040 26932800 27084840 27987668 28890496 28952760 29688576 29886720 30882944 30925600 31242048 32543800 33593600 33856050 34984585 35910400 36113120 36190950 37110720 37358400 38603680 39052560 41656064 41981502 43335744 45141400 46324416 46388400 48254600 48815700 49480960 49811200 50390400 52070080 53865600 54169680 55975336 57780992 57905520 61765888 61851200 62484096 65087600 67712100 69969170 72226240 72381900 74221440 74716800 77207360 78105120 83963004 86671488 90282800 92648832 92776800 96509200 97631400 100780800 104140160 104953755 107731200 108339360 111950672 115811040 123702400 124968192 130175200 135424200 139938340 144452480 144763800 148442880 149433600 154414720 156210240 167926008 173342976 174922925 180565600 185297664 185553600 193018400 195262800 208280320 209907510 216678720 223901344 231622080 247404800 260350400 270848400 279876680 288904960 289527600 308829440 312420480 335852016 349845850 361131200 371107200 386036800 390525600 419815020 433357440 447802688 463244160 520700800 524768775 541696800 559753360 579055200 624840960 671704032 699691700 722262400 742214400 772073600 781051200 839630040 866714880 895605376 926488320 1041401600 1049537550 1083393600 1119506720 1158110400 1343408064 1399383400 1444524800 1544147200 1562102400 1679260080 1791210752 2099075100 2166787200 2239013440 2316220800 2686816128 2798766800 3124204800 3358520160 4198150200 4333574400 4478026880 4632441600 5373632256 5597533600 6717040320 8396300400 8956053760 11195067200 13434080640 16792600800 22390134400 26868161280 33585201600 44780268800 67170403200 134340806400
- Sum of all divisors σ(n): 487122155520
- Sum of proper divisors (its aliquot sum) s(n): 352781349120
- 134340806400 is an abundant number, because the sum of its proper divisors (352781349120) is greater than itself. Its abundance is 218440542720
Bases of 134340806400
- Binary: 11111010001110101011000000111000000002
- Hexadecimal: 0x1F47560700
- Base-36: 1PPR1PMO
Squares and roots of 134340806400
- 134340806400 squared (1343408064002) is 18047452264202280960000
- 134340806400 cubed (1343408064003) is 2424509290638440276885766144000000
-
The
square root of 134340806400 is 366525.3148146797 -
The
cube root of 134340806400 is 5121.5645446519
Scales and comparisons
How big is 134340806400?- 134,340,806,400 seconds is equal to 4,271 years, 32 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 134,340,806,400 would take you about eight thousand, five hundred forty-three 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 134340806400 cubic inches would be around 426.8 feet tall.
Recreational maths with 134340806400
- 134340806400 backwards is 004608043431
- The number of decimal digits it has is: 12
- The sum of 134340806400's digits is 33
- More coming soon!
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