42054706144000
42,054,706,144,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42054706144000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
42054706144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42054706144000:
28 × 53 × 11 × 31 × 523 × 7369
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 523 × 7369)See below for interesting mathematical facts about the number 42054706144000 from the Numbermatics database.
Names of 42054706144000
- Cardinal: 42054706144000 can be written as Forty-two trillion, fifty-four billion, seven hundred six million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.2054706144 × 1013
Factors of 42054706144000
Divisors of 42054706144000
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 64 80 88 100 110 124 125 128 155 160 176 200 220 248 250 256 275 310 320 341 352 400 440 496 500 523 550 620 640 682 704 775 800 880 992 1000 1046 1100 1240 1280 1364 1375 1408 1550 1600 1705 1760 1984 2000 2092 2200 2480 2615 2728 2750 2816 3100 3200 3410 3520 3875 3968 4000 4184 4400 4960 5230 5456 5500 5753 6200 6400 6820 7040 7369 7750 7936 8000 8368 8525 8800 9920 10460 10912 11000 11506 12400 13075 13640 14080 14738 15500 16000 16213 16736 17050 17600 19840 20920 21824 22000 23012 24800 26150 27280 28765 29476 31000 32000 32426 33472 34100 35200 36845 39680 41840 42625 43648 44000 46024 49600 52300 54560 57530 58952 62000 64852 65375 66944 68200 70400 73690 81059 81065 83680 85250 87296 88000 92048 99200 104600 109120 115060 117904 124000 129704 130750 133888 136400 143825 147380 162118 162130 167360 170500 176000 178343 184096 184225 198400 209200 218240 228439 230120 235808 248000 259408 261500 272800 287650 294760 324236 324260 334720 341000 352000 356686 368192 368450 405295 405325 418400 436480 456878 460240 471616 496000 518816 523000 545600 575300 589520 648472 648520 669440 682000 713372 719125 736384 736900 810590 810650 836800 891715 913756 920480 921125 943232 992000 1037632 1046000 1091200 1142195 1150600 1179040 1296944 1297040 1364000 1426744 1438250 1472768 1473800 1621180 1621300 1673600 1783430 1827512 1840960 1842250 1886464 2026475 2026625 2075264 2092000 2182400 2284390 2301200 2358080 2512829 2593888 2594080 2728000 2853488 2876500 2947600 3242360 3242600 3347200 3566860 3655024 3681920 3684500 3853987 4052950 4053250 4150528 4184000 4458575 4568780 4602400 4716160 5025658 5187776 5188160 5456000 5706976 5710975 5753000 5895200 6484720 6485200 7133720 7310048 7363840 7369000 7707974 8105900 8106500 8368000 8917150 9137560 9204800 9432320 10051316 10132375 10375552 10376320 10912000 11413952 11421950 11506000 11790400 12564145 12969440 12970400 14267440 14620096 14738000 15415948 16211800 16213000 16736000 17834300 18275120 18409600 19269935 20102632 20264750 20751104 20752640 22292875 22827904 22843900 23012000 23580800 25128290 25938880 25940800 28534880 28554875 29240192 29476000 30831896 32423600 32426000 35668600 36550240 36819200 38539870 40205264 40529500 42393857 44585750 45655808 45687800 46024000 47161600 50256580 51877760 51881600 57069760 57109750 58480384 58952000 61663792 62820725 64847200 64852000 71337200 73100480 77079740 80410528 81059000 84787714 89171500 91375600 92048000 96349675 100513160 103755520 103763200 114139520 114219500 117904000 119473597 123327584 125641450 129694400 129704000 142674400 146200960 154159480 160821056 162118000 169575428 178343000 182751200 184096000 192699350 201026320 211969285 228279040 228439000 235808000 238947194 246655168 251282900 259388800 259408000 285348800 292401920 308318960 314103625 321642112 324236000 339150856 356686000 365502400 385398700 402052640 423938570 456878000 477894388 481748375 493310336 502565800 518777600 518816000 570697600 597367985 616637920 628207250 643284224 648472000 678301712 713372000 731004800 770797400 804105280 847877140 913756000 955788776 963496750 986620672 1005131600 1059846425 1141395200 1194735970 1233275840 1256414500 1296944000 1314209567 1356603424 1426744000 1462009600 1541594800 1608210560 1695754280 1827512000 1911577552 1926993500 2010263200 2119692850 2389471940 2466551680 2512829000 2593888000 2628419134 2713206848 2853488000 2986839925 3083189600 3216421120 3391508560 3655024000 3823155104 3853987000 4020526400 4239385700 4778943880 4933103360 5025658000 5256838268 5299232125 5426413696 5706976000 5973679850 6166379200 6571047835 6783017120 7310048000 7646310208 7707974000 8041052800 8478771400 9557887760 10051316000 10513676536 10598464250 10852827392 11947359700 12332758400 13142095670 13566034240 14934199625 15292620416 15415948000 16082105600 16957542800 19115775520 20102632000 21027353072 21196928500 23894719400 24665516800 26284191340 27132068480 29868399250 30585240832 30831896000 32855239175 33915085600 38231551040 40205264000 42054706144 42393857000 47789438800 52568382680 54264136960 59736798500 61663792000 65710478350 67830171200 76463102080 80410528000 84109412288 84787714000 95578877600 105136765360 119473597000 123327584000 131420956700 135660342400 152926204160 164276195875 168218824576 169575428000 191157755200 210273530720 238947194000 262841913400 271320684800 328552391750 336437649152 339150856000 382315510400 420547061440 477894388000 525683826800 657104783500 678301712000 764631020800 841094122880 955788776000 1051367653600 1314209567000 1356603424000 1682188245760 1911577552000 2102735307200 2628419134000 3823155104000 4205470614400 5256838268000 8410941228800 10513676536000 21027353072000 42054706144000
- Sum of all divisors σ(n): 118215792414720
- Sum of proper divisors (its aliquot sum) s(n): 76161086270720
- 42054706144000 is an abundant number, because the sum of its proper divisors (76161086270720) is greater than itself. Its abundance is 34106380126720
Bases of 42054706144000
- Binary: 10011000111111100111111101001000100011000000002
- Hexadecimal: 0x263F9FD22300
- Base-36: EWNNY7U9S
Squares and roots of 42054706144000
- 42054706144000 squared (420547061440002) is 1768598308858191348736000000
- 42054706144000 cubed (420547061440003) is 74377882165806589338415505833984000000000
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The
square root of 42054706144000 is 6484959.9955589549 -
The
cube root of 42054706144000 is 34775.3519656113
Scales and comparisons
How big is 42054706144000?- 42,054,706,144,000 seconds is equal to 1,337,209 years, 29 weeks, 5 days, 1 hour, 46 minutes, 40 seconds.
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To count from 1 to 42,054,706,144,000 would take you about three million, three hundred forty-three thousand and twenty-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 42054706144000 cubic inches would be around 2897.9 feet tall.
Recreational maths with 42054706144000
- 42054706144000 backwards is 00044160745024
- The number of decimal digits it has is: 14
- The sum of 42054706144000's digits is 37
- More coming soon!
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