5385815696998400
5,385,815,696,998,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 5385815696998400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
5385815696998400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 5385815696998400:
217 × 52 × 167 × 191 × 2272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 167 × 191 × 227 × 227)See below for interesting mathematical facts about the number 5385815696998400 from the Numbermatics database.
Names of 5385815696998400
- Cardinal: 5385815696998400 can be written as Five quadrillion, three hundred eighty-five trillion, eight hundred fifteen billion, six hundred ninety-six million, nine hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 5.3858156969984 × 1015
Factors of 5385815696998400
Divisors of 5385815696998400
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 167 191 200 227 256 320 334 382 400 454 512 640 668 764 800 835 908 955 1024 1135 1280 1336 1528 1600 1670 1816 1910 2048 2270 2560 2672 3056 3200 3340 3632 3820 4096 4175 4540 4775 5120 5344 5675 6112 6400 6680 7264 7640 8192 8350 9080 9550 10240 10688 11350 12224 12800 13360 14528 15280 16384 16700 18160 19100 20480 21376 22700 24448 25600 26720 29056 30560 31897 32768 33400 36320 37909 38200 40960 42752 43357 45400 48896 51200 51529 53440 58112 61120 63794 65536 66800 72640 75818 76400 81920 85504 86714 90800 97792 102400 103058 106880 116224 122240 127588 131072 133600 145280 151636 152800 159485 163840 171008 173428 181600 189545 195584 204800 206116 213760 216785 232448 244480 255176 257645 267200 290560 303272 305600 318970 327680 342016 346856 363200 379090 391168 409600 412232 427520 433570 464896 488960 510352 515290 534400 581120 606544 611200 637940 655360 684032 693712 726400 758180 782336 797425 819200 824464 855040 867140 929792 947725 977920 1020704 1030580 1068800 1083925 1162240 1213088 1222400 1275880 1288225 1368064 1387424 1452800 1516360 1564672 1594850 1638400 1648928 1710080 1734280 1859584 1895450 1955840 2041408 2061160 2137600 2167850 2324480 2426176 2444800 2551760 2576450 2736128 2774848 2905600 3032720 3129344 3189700 3276800 3297856 3420160 3468560 3719168 3790900 3911680 4082816 4122320 4275200 4335700 4648960 4852352 4889600 5103520 5152900 5472256 5549696 5811200 6065440 6258688 6379400 6595712 6840320 6937120 7240619 7438336 7581800 7823360 8165632 8244640 8550400 8605343 8671400 9297920 9704704 9779200 9842039 10207040 10305800 10944512 11099392 11622400 12130880 12517376 12758800 13191424 13680640 13874240 14481238 14876672 15163600 15646720 16331264 16489280 17100800 17210686 17342800 18595840 19409408 19558400 19684078 20414080 20611600 21889024 22198784 23244800 24261760 25034752 25517600 26382848 27361280 27748480 28962476 29753344 30327200 31293440 32662528 32978560 34201600 34421372 34685600 36203095 37191680 38818816 39116800 39368156 40828160 41223200 43026715 44397568 46489600 48523520 49210195 51035200 52765696 54722560 55496960 57924952 60654400 62586880 65325056 65957120 68403200 68842744 69371200 72406190 74383360 77637632 78233600 78736312 81656320 82446400 86053430 88795136 92979200 97047040 98420390 102070400 105531392 109445120 110993920 115849904 121308800 125173760 130650112 131914240 136806400 137685488 138742400 144812380 148766720 155275264 156467200 157472624 163312640 164892800 172106860 177590272 181015475 185958400 194094080 196840780 204140800 211062784 215133575 221987840 231699808 242617600 246050975 261300224 263828480 273612800 275370976 277484800 289624760 310550528 312934400 314945248 326625280 329785600 344213720 355180544 362030950 371916800 388188160 393681560 408281600 422125568 430267150 443975680 463399616 485235200 492101950 522600448 527656960 547225600 550741952 554969600 579249520 621101056 625868800 629890496 653250560 659571200 688427440 710361088 724061900 743833600 776376320 787363120 816563200 844251136 860534300 887951360 926799232 970470400 984203900 1045200896 1055313920 1101483904 1109939200 1158499040 1242202112 1259780992 1306501120 1319142400 1376854880 1420722176 1448123800 1552752640 1574726240 1633126400 1643620513 1688502272 1721068600 1775902720 1853598464 1940940800 1968407800 2090401792 2110627840 2202967808 2219878400 2316998080 2484404224 2519561984 2613002240 2638284800 2753709760 2841444352 2896247600 3105505280 3149452480 3266252800 3287241026 3377004544 3442137200 3551805440 3707196928 3881881600 3936815600 4180803584 4221255680 4405935616 4439756800 4633996160 4968808448 5039123968 5226004480 5276569600 5507419520 5682888704 5792495200 6211010560 6298904960 6532505600 6574482052 6754009088 6884274400 7103610880 7414393856 7763763200 7873631200 8218102565 8442511360 8811871232 8879513600 9267992320 10078247936 10452008960 10553139200 11014839040 11584990400 12422021120 12597809920 13065011200 13148964104 13768548800 14207221760 14828787712 15527526400 15747262400 16436205130 16885022720 17623742464 17759027200 18535984640 20156495872 20904017920 21106278400 22029678080 23169980800 24844042240 25195619840 26130022400 26297928208 27537097600 28414443520 29657575424 31055052800 31494524800 32872410260 33770045440 35247484928 35518054400 37071969280 40312991744 41090512825 42212556800 44059356160 46339961600 50391239680 52260044800 52595856416 55074195200 59315150848 62110105600 62989049600 65744820520 70494969856 71036108800 74143938560 80625983488 82181025650 84425113600 88118712320 92679923200 100782479360 104520089600 105191712832 110148390400 118630301696 124220211200 125978099200 131489641040 140989939712 142072217600 148287877120 161251966976 164362051300 168850227200 176237424640 185359846400 201564958720 210383425664 220296780800 237260603392 251956198400 262979282080 281979879424 296575754240 322503933952 328724102600 352474849280 370719692800 403129917440 420766851328 440593561600 474521206784 503912396800 525958564160 563959758848 593151508480 645007867904 657448205200 704949698560 741439385600 806259834880 841533702656 881187123200 949042413568 1007824793600 1051917128320 1127919517696 1186303016960 1290015735808 1314896410400 1409899397120 1482878771200 1612519669760 1683067405312 1762374246400 2015649587200 2103834256640 2372606033920 2629792820800 2819798794240 2965757542400 3225039339520 3366134810624 3524748492800 4031299174400 4207668513280 4745212067840 5259585641600 5639597588480 5931515084800 6450078679040 6732269621248 7049496985600 8062598348800 8415337026560 10519171283200 11863030169600 13464539242496 14098993971200 16125196697600 16830674053120 21038342566400 23726060339200 26929078484992 28197987942400 32250393395200 33661348106240 42076685132800 53858156969984 67322696212480 84153370265600 107716313939968 134645392424960 168306740531200 215432627879936 269290784849920 336613481062400 538581569699840 673226962124800 1077163139399680 1346453924249600 2692907848499200 5385815696998400
- Sum of all divisors σ(n): 13566866915943936
- Sum of proper divisors (its aliquot sum) s(n): 8181051218945536
- 5385815696998400 is an abundant number, because the sum of its proper divisors (8181051218945536) is greater than itself. Its abundance is 2795235521947136
Bases of 5385815696998400
- Binary: 100110010001001011110111011110111001000000000000000002
- Hexadecimal: 0x13225EEF720000
- Base-36: 1H141KOCOOW
Squares and roots of 5385815696998400
- 5385815696998400 squared (53858156969984002) is 29007010722034361198769602560000
- 5385815696998400 cubed (53858156969984003) is 156226413669733555100545807576181352955904000000
-
The
square root of 5385815696998400 is 73388116.8650511157 -
The
cube root of 5385815696998400 is 175287.3179177933
Scales and comparisons
How big is 5385815696998400?- 5,385,815,696,998,400 seconds is equal to 171,252,279 years, 38 weeks, 4 days, 8 hours, 53 minutes, 20 seconds.
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To count from 1 to 5,385,815,696,998,400 would take you about five hundred thirteen million, seven hundred fifty-six thousand, eight hundred thirty-nine 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 5385815696998400 cubic inches would be around 14607.3 feet tall.
Recreational maths with 5385815696998400
- 5385815696998400 backwards is 0048996965185835
- The number of decimal digits it has is: 16
- The sum of 5385815696998400's digits is 86
- More coming soon!
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The information we have on file for 5385815696998400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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