13754668928000
13,754,668,928,000 is an even composite number composed of six prime numbers multiplied together.
13754668928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 13754668928000:
210 × 53 × 7 × 11 × 13 × 107351
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 107351)See below for interesting mathematical facts about the number 13754668928000 from the Numbermatics database.
Names of 13754668928000
- Cardinal: 13754668928000 can be written as Thirteen trillion, seven hundred fifty-four billion, six hundred sixty-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3754668928 × 1013
Factors of 13754668928000
Divisors of 13754668928000
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 55 56 64 65 70 77 80 88 91 100 104 110 112 125 128 130 140 143 154 160 175 176 182 200 208 220 224 250 256 260 275 280 286 308 320 325 350 352 364 385 400 416 440 448 455 500 512 520 550 560 572 616 640 650 700 704 715 728 770 800 832 875 880 896 910 1000 1001 1024 1040 1100 1120 1144 1232 1280 1300 1375 1400 1408 1430 1456 1540 1600 1625 1664 1750 1760 1792 1820 1925 2000 2002 2080 2200 2240 2275 2288 2464 2560 2600 2750 2800 2816 2860 2912 3080 3200 3250 3328 3500 3520 3575 3584 3640 3850 4000 4004 4160 4400 4480 4550 4576 4928 5005 5120 5200 5500 5600 5632 5720 5824 6160 6400 6500 6656 7000 7040 7150 7168 7280 7700 8000 8008 8320 8800 8960 9100 9152 9625 9856 10010 10400 11000 11200 11264 11375 11440 11648 12320 12800 13000 13312 14000 14080 14300 14560 15400 16000 16016 16640 17600 17875 17920 18200 18304 19250 19712 20020 20800 22000 22400 22750 22880 23296 24640 25025 25600 26000 28000 28160 28600 29120 30800 32000 32032 33280 35200 35750 35840 36400 36608 38500 39424 40040 41600 44000 44800 45500 45760 46592 49280 50050 52000 56000 56320 57200 58240 61600 64000 64064 66560 70400 71500 72800 73216 77000 78848 80080 83200 88000 89600 91000 91520 93184 98560 100100 104000 107351 112000 114400 116480 123200 125125 128000 128128 140800 143000 145600 146432 154000 160160 166400 176000 179200 182000 183040 197120 200200 208000 214702 224000 228800 232960 246400 250250 256256 281600 286000 291200 308000 320320 332800 352000 364000 366080 394240 400400 416000 429404 448000 457600 465920 492800 500500 512512 536755 572000 582400 616000 640640 704000 728000 732160 751457 800800 832000 858808 896000 915200 985600 1001000 1025024 1073510 1144000 1164800 1180861 1232000 1281280 1395563 1408000 1456000 1502914 1601600 1664000 1717616 1830400 1971200 2002000 2147020 2288000 2329600 2361722 2464000 2562560 2683775 2791126 2912000 3005828 3203200 3435232 3660800 3757285 4004000 4294040 4576000 4723444 4928000 5125120 5367550 5582252 5824000 5904305 6011656 6406400 6870464 6977815 7514570 8008000 8266027 8588080 9152000 9446888 9768941 9856000 10735100 11164504 11648000 11808610 12023312 12812800 13418875 13740928 13955630 15029140 15351193 16016000 16532054 17176160 18304000 18786425 18893776 19537882 21470200 22329008 23617220 24046624 25625600 26837750 27481856 27911260 29521525 30058280 30702386 32032000 33064108 34352320 34889075 37572850 37787552 39075764 41330135 42940400 44658016 47234440 48093248 48844705 53675500 54963712 55822520 59043050 60116560 61404772 64064000 66128216 68704640 69778150 75145700 75575104 76755965 78151528 82660270 85880800 89316032 93932125 94468880 96186496 97689410 107351000 107458351 109927424 111645040 118086100 120233120 122809544 128128000 132256432 137409280 139556300 147607625 150291400 151150208 153511930 156303056 165320540 171761600 174445375 178632064 187864250 188937760 192372992 195378820 206650675 214702000 214916702 223290080 236172200 240466240 244223525 245619088 264512864 274818560 279112600 295215250 300582800 302300416 307023860 312606112 330641080 343523200 348890750 357264128 375728500 377875520 383779825 384745984 390757640 413301350 429404000 429833404 446580160 472344400 480932480 488447050 491238176 529025728 537291755 549637120 558225200 590430500 601165600 604600832 614047720 625212224 661282160 687046400 697781500 714528256 751457000 755751040 767559650 769491968 781515280 826602700 858808000 859666808 893160320 944688800 961864960 976894100 982476352 1033253375 1058051456 1074583510 1116450400 1180861000 1202331200 1209201664 1221117625 1228095440 1250424448 1322564320 1374092800 1395563000 1429056512 1502914000 1511502080 1535119300 1563030560 1653205400 1717616000 1719333616 1786320640 1889377600 1918899125 1923729920 1953788200 1964952704 2066506750 2116102912 2149167020 2232900800 2361722000 2404662400 2442235250 2456190880 2500848896 2645128640 2686458775 2748185600 2791126000 3005828000 3023004160 3070238600 3126061120 3306410800 3435232000 3438667232 3572641280 3778755200 3837798250 3847459840 3907576400 3929905408 4133013500 4232205824 4298334040 4465801600 4723444000 4809324800 4884470500 4912381760 5001697792 5290257280 5372917550 5582252000 6011656000 6046008320 6140477200 6252122240 6612821600 6870464000 6877334464 7145282560 7557510400 7675596500 7815152800 7859810816 8266027000 8464411648 8596668080 8931603200 9446888000 9618649600 9768941000 9824763520 10003395584 10580514560 10745835100 11164504000 12023312000 12280954400 12504244480 13225643200 13432293875 13740928000 13754668928 15115020800 15351193000 15630305600 15719621632 16532054000 17193336160 17863206400 18893776000 19237299200 19537882000 19649527040 21161029120 21491670200 22329008000 24046624000 24561908800 25008488960 26451286400 26864587750 27509337856 30230041600 30702386000 31260611200 33064108000 34386672320 35726412800 37787552000 39075764000 39299054080 42322058240 42983340400 44658016000 48093248000 49123817600 50016977920 52902572800 53729175500 55018675712 61404772000 62521222400 66128216000 68773344640 75575104000 78151528000 78598108160 85966680800 89316032000 96186496000 98247635200 105805145600 107458351000 110037351424 122809544000 125042444800 132256432000 137546689280 151150208000 156303056000 171933361600 178632064000 196495270400 211610291200 214916702000 245619088000 250084889600 264512864000 275093378560 312606112000 343866723200 392990540800 429833404000 491238176000 529025728000 550186757120 625212224000 687733446400 859666808000 982476352000 1058051456000 1250424448000 1375466892800 1719333616000 1964952704000 2750933785600 3438667232000 6877334464000 13754668928000
- Sum of all divisors σ(n): 46073568393216
- Sum of proper divisors (its aliquot sum) s(n): 32318899465216
- 13754668928000 is an abundant number, because the sum of its proper divisors (32318899465216) is greater than itself. Its abundance is 18564230537216
Bases of 13754668928000
- Binary: 110010000010100000100010011111001100000000002
- Hexadecimal: 0xC828227CC00
- Base-36: 4VIT2QT4W
Squares and roots of 13754668928000
- 13754668928000 squared (137546689280002) is 189190917318888669184000000
- 13754668928000 cubed (137546689280003) is 2602258431905935045516435914752000000000
-
The
square root of 13754668928000 is 3708728.7482370559 -
The
cube root of 13754668928000 is 23959.8105898889
Scales and comparisons
How big is 13754668928000?- 13,754,668,928,000 seconds is equal to 437,355 years, 48 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 13,754,668,928,000 would take you about one million, ninety-three thousand, three hundred eighty-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 13754668928000 cubic inches would be around 1996.7 feet tall.
Recreational maths with 13754668928000
- 13754668928000 backwards is 00082986645731
- The number of decimal digits it has is: 14
- The sum of 13754668928000's digits is 59
- More coming soon!
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