13504018806311040
13,504,018,806,311,040 is an even composite number composed of five prime numbers multiplied together.
13504018806311040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13504018806311040:
27 × 32 × 5 × 72 × 47845871621
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 47845871621)See below for interesting mathematical facts about the number 13504018806311040 from the Numbermatics database.
Names of 13504018806311040
- Cardinal: 13504018806311040 can be written as Thirteen quadrillion, five hundred four trillion, eighteen billion, eight hundred six million, three hundred eleven thousand and forty.
Scientific notation
- Scientific notation: 1.350401880631104 × 1016
Factors of 13504018806311040
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 47845871638
Divisors of 13504018806311040
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 160 168 180 192 196 210 224 240 245 252 280 288 294 315 320 336 360 384 392 420 441 448 480 490 504 560 576 588 630 640 672 720 735 784 840 882 896 960 980 1008 1120 1152 1176 1260 1344 1440 1470 1568 1680 1764 1920 1960 2016 2205 2240 2352 2520 2688 2880 2940 3136 3360 3528 3920 4032 4410 4480 4704 5040 5760 5880 6272 6720 7056 7840 8064 8820 9408 10080 11760 13440 14112 15680 17640 18816 20160 23520 28224 31360 35280 40320 47040 56448 70560 94080 141120 282240 47845871621 95691743242 143537614863 191383486484 239229358105 287075229726 334921101347 382766972968 430612844589 478458716210 574150459452 669842202694 717688074315 765533945936 861225689178 956917432420 1004763304041 1148300918904 1339684405388 1435376148630 1531067891872 1674605506735 1722451378356 1913834864840 2009526608082 2153064222945 2296601837808 2344447709429 2679368810776 2870752297260 3014289912123 3062135783744 3349211013470 3444902756712 3827669729680 4019053216164 4306128445890 4593203675616 4688895418858 5023816520205 5358737621552 5741504594520 6028579824246 6124271567488 6698422026940 6889805513424 7033343128287 7655339459360 8038106432328 8612256891780 9186407351232 9377790837716 10047633040410 10717475243104 11483009189040 11722238547145 12057159648492 13396844053880 13779611026848 14066686256574 15071449560615 15310678918720 16076212864656 17224513783560 18372814702464 18755581675432 20095266080820 21100029384861 21434950486208 22966018378080 23444477094290 24114319296984 26793688107760 27559222053696 28133372513148 30142899121230 30621357837440 32152425729312 34449027567120 35166715641435 37511163350864 40190532161640 42200058769722 42869900972416 45932036756160 46888954188580 48228638593968 53587376215520 55118444107392 56266745026296 60285798242460 64304851458624 68898055134240 70333431282870 75022326701728 80381064323280 84400117539444 91864073512320 93777908377160 96457277187936 105500146924305 107174752431040 112533490052592 120571596484920 128609702917248 137796110268480 140666862565740 150044653403456 160762128646560 168800235078888 187555816754320 192914554375872 211000293848610 214349504862080 225066980105184 241143192969840 275592220536960 281333725131480 300089306806912 321524257293120 337600470157776 375111633508640 385829108751744 422000587697220 450133960210368 482286385939680 562667450262960 643048514586240 675200940315552 750223267017280 844001175394440 900267920420736 964572771879360 1125334900525920 1350401880631104 1500446534034560 1688002350788880 1929145543758720 2250669801051840 2700803761262208 3376004701577760 4501339602103680 6752009403155520 13504018806311040
- Sum of all divisors σ(n): 54244300034010060
- Sum of proper divisors (its aliquot sum) s(n): 40740281227699020
- 13504018806311040 is an abundant number, because the sum of its proper divisors (40740281227699020) is greater than itself. Its abundance is 27236262421387980
Bases of 13504018806311040
- Binary: 1011111111100111010101011000111111110110001000100000002
- Hexadecimal: 0x2FF9D563FD8880
- Base-36: 3OYRWLHUE80
Squares and roots of 13504018806311040
- 13504018806311040 squared (135040188063110402) is 182358523921202245654933225881600
- 13504018806311040 cubed (135040188063110403) is 2462572936523036782734100815467882759947812864000
-
The
square root of 13504018806311040 is 116206793.2881337191 -
The
cube root of 13504018806311040 is 238133.7830709271
Scales and comparisons
How big is 13504018806311040?- 13,504,018,806,311,040 seconds is equal to 429,386,027 years, 19 weeks, 22 hours, 24 minutes.
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To count from 1 to 13,504,018,806,311,040 would take you about one billion, two hundred eighty-eight million, one hundred fifty-eight thousand and eighty-two 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 13504018806311040 cubic inches would be around 19844.5 feet tall.
Recreational maths with 13504018806311040
- 13504018806311040 backwards is 04011360881040531
- 13504018806311040 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13504018806311040's digits is 45
- More coming soon!
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