242816524819920
242,816,524,819,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 242816524819920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 400 divisors.
242816524819920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 242816524819920:
24 × 34 × 5 × 29 × 30941 × 41761
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 29 × 30941 × 41761)See below for interesting mathematical facts about the number 242816524819920 from the Numbermatics database.
Names of 242816524819920
- Cardinal: 242816524819920 can be written as Two hundred forty-two trillion, eight hundred sixteen billion, five hundred twenty-four million, eight hundred nineteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 2.4281652481992 × 1014
Factors of 242816524819920
Divisors of 242816524819920
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 81 87 90 108 116 120 135 144 145 162 174 180 216 232 240 261 270 290 324 348 360 405 432 435 464 522 540 580 648 696 720 783 810 870 1044 1080 1160 1296 1305 1392 1566 1620 1740 2088 2160 2320 2349 2610 3132 3240 3480 3915 4176 4698 5220 6264 6480 6960 7830 9396 10440 11745 12528 15660 18792 20880 23490 30941 31320 37584 41761 46980 61882 62640 83522 92823 93960 123764 125283 154705 167044 185646 187920 208805 247528 250566 278469 309410 334088 371292 375849 417610 464115 495056 501132 556938 618820 626415 668176 742584 751698 835220 835407 897289 928230 1002264 1113876 1127547 1211069 1237640 1252830 1392345 1485168 1503396 1670440 1670814 1794578 1856460 1879245 2004528 2227752 2255094 2422138 2475280 2505660 2506221 2691867 2784690 3006792 3340880 3341628 3382641 3589156 3633207 3712920 3758490 4177035 4455504 4486445 4510188 4844276 5011320 5012442 5383734 5569380 5637735 6013584 6055345 6683256 6765282 7178312 7266414 7425840 7516980 8075601 8354070 8972890 9020376 9688552 10022640 10024884 10767468 10899621 11138760 11275470 12110690 12531105 13366512 13459335 13530564 14356624 14532828 15033960 16151202 16708140 16913205 17945780 18040752 18166035 19377104 20049768 21534936 21799242 22277520 22550940 24221380 24226803 25062210 26918670 27061128 29065656 30067920 32302404 32698863 33416280 33826410 35891560 36332070 40099536 40378005 43069872 43598484 45101880 48442760 48453606 50124420 53837340 54122256 54498105 58131312 64604808 65397726 66832560 67652820 71783120 72664140 72680409 80756010 87196968 90203760 96885520 96907212 98096589 100248840 107674680 108996210 121134015 129209616 130795452 135305640 145328280 145360818 161512020 163494315 174393936 193814424 196193178 200497680 215349360 217992420 242268030 261590904 270611280 290656560 290721636 323024040 326988630 363402045 387628848 392386356 435984840 484536060 490482945 523181808 581443272 646048080 653977260 726804090 784772712 871969680 969072120 980965890 1162886544 1292127101 1307954520 1453608180 1569545424 1938144240 1961931780 2584254202 2615909040 2907216360 3876381303 3923863560 5168508404 5814432720 6460635505 7752762606 7847727120 10337016808 11629143909 12921271010 15505525212 19381906515 20674033616 23258287818 25842542020 31011050424 34887431727 37471685929 38763813030 46516575636 51685084040 58145719545 62022100848 69774863454 74943371858 77527626060 93033151272 103370168080 104662295181 112415057787 116291439090 139549726908 149886743716 155055252120 174437158635 186066302544 187358429645 209324590362 224830115574 232582878180 279099453816 299773487432 310110504240 337245173361 348874317270 374716859290 418649180724 449660231148 465165756360 523311475905 558198907632 562075288935 599546974864 674490346722 697748634540 749433718580 837298361448 899320462296 930331512720 1011735520083 1046622951810 1124150577870 1348980693444 1395497269080 1498867437160 1674596722896 1686225866805 1798640924592 2023471040166 2093245903620 2248301155740 2697961386888 2790994538160 2997734874320 3035206560249 3372451733610 4046942080332 4186491807240 4496602311480 5058677600415 5395922773776 6070413120498 6744903467220 8093884160664 8372983614480 8993204622960 10117355200830 12140826240996 13489806934440 15176032801245 16187768321328 20234710401660 24281652481992 26979613868880 30352065602490 40469420803320 48563304963984 60704131204980 80938841606640 121408262409960 242816524819920
- Sum of all divisors σ(n): 872467463664720
- Sum of proper divisors (its aliquot sum) s(n): 629650938844800
- 242816524819920 is an abundant number, because the sum of its proper divisors (629650938844800) is greater than itself. Its abundance is 386834414024880
Bases of 242816524819920
- Binary: 1101110011010111001000001011010100011101110100002
- Hexadecimal: 0xDCD720B51DD0
- Base-36: 2E2KDDJH00
Squares and roots of 242816524819920
- 242816524819920 squared (2428165248199202) is 58959864725622825388428806400
- 242816524819920 cubed (2428165248199203) is 14316429456528320481709899583997500543488000
-
The
square root of 242816524819920 is 15582571.1877058339 -
The
cube root of 242816524819920 is 62386.8052328465
Scales and comparisons
How big is 242816524819920?- 242,816,524,819,920 seconds is equal to 7,720,814 years, 21 weeks, 1 day, 16 hours, 12 minutes.
-
To count from 1 to 242,816,524,819,920 would take you about nineteen million, three hundred two thousand and thirty-six 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 242816524819920 cubic inches would be around 5198.9 feet tall.
Recreational maths with 242816524819920
- 242816524819920 backwards is 029918425618242
- The number of decimal digits it has is: 15
- The sum of 242816524819920's digits is 63
- More coming soon!
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