13742904524800
13,742,904,524,800 is an even composite number composed of six prime numbers multiplied together.
13742904524800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13742904524800:
214 × 52 × 11 × 31 × 61 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 31 × 61 × 1613)See below for interesting mathematical facts about the number 13742904524800 from the Numbermatics database.
Names of 13742904524800
- Cardinal: 13742904524800 can be written as Thirteen trillion, seven hundred forty-two billion, nine hundred four million, five hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37429045248 × 1013
Factors of 13742904524800
Divisors of 13742904524800
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 61 62 64 80 88 100 110 122 124 128 155 160 176 200 220 244 248 256 275 305 310 320 341 352 400 440 488 496 512 550 610 620 640 671 682 704 775 800 880 976 992 1024 1100 1220 1240 1280 1342 1364 1408 1525 1550 1600 1613 1705 1760 1891 1952 1984 2048 2200 2440 2480 2560 2684 2728 2816 3050 3100 3200 3226 3355 3410 3520 3782 3904 3968 4096 4400 4880 4960 5120 5368 5456 5632 6100 6200 6400 6452 6710 6820 7040 7564 7808 7936 8065 8192 8525 8800 9455 9760 9920 10240 10736 10912 11264 12200 12400 12800 12904 13420 13640 14080 15128 15616 15872 16130 16384 16775 17050 17600 17743 18910 19520 19840 20480 20801 21472 21824 22528 24400 24800 25600 25808 26840 27280 28160 30256 31232 31744 32260 33550 34100 35200 35486 37820 39040 39680 40325 40960 41602 42944 43648 45056 47275 48800 49600 50003 51200 51616 53680 54560 56320 60512 62464 63488 64520 67100 68200 70400 70972 75640 78080 79360 80650 81920 83204 85888 87296 88715 90112 94550 97600 98393 99200 100006 102400 103232 104005 107360 109120 112640 121024 124928 126976 129040 134200 136400 140800 141944 151280 156160 158720 161300 166408 171776 174592 177430 180224 189100 195200 196786 198400 200012 204800 206464 208010 214720 218240 225280 242048 249856 250015 253952 258080 268400 272800 281600 283888 302560 312320 317440 322600 332816 343552 349184 354860 378200 390400 393572 396800 400024 409600 412928 416020 429440 436480 443575 450560 484096 491965 499712 500030 507904 516160 520025 536800 545600 550033 563200 567776 605120 624640 634880 645200 665632 687104 698368 709720 756400 780800 787144 793600 800048 825856 832040 858880 872960 887150 901120 968192 983930 999424 1000060 1032320 1040050 1073600 1082323 1091200 1100066 1126400 1135552 1210240 1249280 1250075 1269760 1290400 1331264 1374208 1396736 1419440 1512800 1561600 1574288 1587200 1600096 1651712 1664080 1717760 1745920 1774300 1936384 1967860 2000120 2064640 2080100 2147200 2164646 2182400 2200132 2252800 2271104 2420480 2459825 2498560 2500150 2539520 2580800 2662528 2748416 2750165 2793472 2838880 3025600 3050183 3123200 3148576 3174400 3200192 3303424 3328160 3435520 3491840 3548600 3872768 3935720 4000240 4129280 4160200 4294400 4329292 4364800 4400264 4505600 4542208 4840960 4919650 4997120 5000300 5161600 5325056 5411615 5496832 5500330 5586944 5677760 6051200 6100366 6246400 6297152 6348800 6400384 6606848 6656320 6871040 6983680 7097200 7745536 7871440 8000480 8258560 8320400 8588800 8658584 8729600 8800528 9084416 9681920 9839300 10000600 10323200 10650112 10823230 10993664 11000660 11355520 12102400 12200732 12492800 12594304 12697600 12800768 13213696 13312640 13742080 13750825 13967360 14194400 15250915 15491072 15742880 16000960 16517120 16640800 17177600 17317168 17459200 17601056 18168832 19363840 19678600 20001200 20646400 21300224 21646460 22001320 22711040 24204800 24401464 24985600 25188608 25601536 26427392 26625280 27058075 27484160 27501650 27934720 28388800 30501830 30982144 31485760 32001920 33034240 33281600 33552013 34355200 34634336 34918400 35202112 36337664 38727680 39357200 40002400 41292800 42600448 43292920 44002640 45422080 48409600 48802928 50377216 51203072 53250560 54116150 54968320 55003300 56777600 61003660 62971520 64003840 66068480 66563200 67104026 68710400 69268672 69836800 70404224 72675328 76254575 77455360 78714400 80004800 82585600 85200896 86585840 88005280 90844160 96819200 97605856 100754432 102406144 106501120 108232300 110006600 113555200 122007320 125943040 128007680 132136960 133126400 134208052 137420800 138537344 139673600 140808448 145350656 152509150 154910720 157428800 160009600 165171200 167760065 170401792 173171680 176010560 181688320 193638400 195211712 201508864 204812288 213002240 216464600 220013200 227110400 244014640 251886080 256015360 266252800 268416104 274841600 277074688 281616896 290701312 305018300 314857600 320019200 330342400 335520130 340803584 346343360 352021120 363376640 387276800 390423424 403017728 409624576 426004480 432929200 440026400 454220800 488029280 503772160 512030720 532505600 536832208 554149376 563233792 610036600 629715200 640038400 660684800 671040260 692686720 704042240 726753280 774553600 780846848 806035456 819249152 838800325 852008960 865858400 880052800 908441600 976058560 1007544320 1024061440 1065011200 1073664416 1108298752 1126467584 1220073200 1259430400 1280076800 1342080520 1385373440 1408084480 1453506560 1561693696 1612070912 1677600650 1704017920 1731716800 1760105600 1816883200 1952117120 2015088640 2048122880 2130022400 2147328832 2216597504 2252935168 2440146400 2518860800 2560153600 2684161040 2770746880 2816168960 3123387392 3355201300 3463433600 3520211200 3633766400 3904234240 4030177280 4096245760 4260044800 4294657664 4433195008 4505870336 4880292800 5037721600 5120307200 5368322080 5541493760 5632337920 6246774784 6710402600 6926867200 7040422400 7267532800 7808468480 8060354560 8520089600 8589315328 8866390016 9011740672 9760585600 10075443200 10240614400 10736644160 11082987520 11264675840 12493549568 13420805200 13853734400 14080844800 15616936960 17178630656 17732780032 19521171200 20150886400 20481228800 21473288320 22165975040 22529351680 24987099136 26841610400 27707468800 28161689600 31233873920 34357261312 39042342400 40301772800 42946576640 44331950080 45058703360 49974198272 53683220800 55414937600 56323379200 62467747840 68714522624 78084684800 85893153280 88663900160 107366441600 110829875200 112646758400 124935495680 137429045248 156169369600 171786306560 214732883200 221659750400 225293516800 249870991360 274858090496 312338739200 343572613120 429465766400 443319500800 549716180992 624677478400 687145226240 858931532800 1249354956800 1374290452480 1717863065600 2748580904960 3435726131200 6871452262400 13742904524800
- Sum of all divisors σ(n): 39032360769024
- Sum of proper divisors (its aliquot sum) s(n): 25289456244224
- 13742904524800 is an abundant number, because the sum of its proper divisors (25289456244224) is greater than itself. Its abundance is 11546551719424
Bases of 13742904524800
- Binary: 110001111111110001001111000101000000000000002
- Hexadecimal: 0xC7FC4F14000
- Base-36: 4VDEIITJ4
Squares and roots of 13742904524800
- 13742904524800 squared (137429045248002) is 188867424777768313815040000
- 13742904524800 cubed (137429045248003) is 2595586986565715794374779566292992000000
-
The
square root of 13742904524800 is 3707142.3664056929 -
The
cube root of 13742904524800 is 23952.9776792059
Scales and comparisons
How big is 13742904524800?- 13,742,904,524,800 seconds is equal to 436,981 years, 44 weeks, 2 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,742,904,524,800 would take you about one million, ninety-two thousand, four hundred fifty-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 13742904524800 cubic inches would be around 1996.1 feet tall.
Recreational maths with 13742904524800
- 13742904524800 backwards is 00842540924731
- The number of decimal digits it has is: 14
- The sum of 13742904524800's digits is 49
- More coming soon!
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