13734659431680000
13,734,659,431,680,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13734659431680000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.
13734659431680000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 13734659431680000:
211 × 3 × 54 × 112 × 172 × 29 × 3527
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 17 × 17 × 29 × 3527)See below for interesting mathematical facts about the number 13734659431680000 from the Numbermatics database.
Names of 13734659431680000
- Cardinal: 13734659431680000 can be written as Thirteen quadrillion, seven hundred thirty-four trillion, six hundred fifty-nine billion, four hundred thirty-one million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.373465943168 × 1016
Factors of 13734659431680000
Divisors of 13734659431680000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 29 30 32 33 34 40 44 48 50 51 55 58 60 64 66 68 75 80 85 87 88 96 100 102 110 116 120 121 125 128 132 136 145 150 160 165 170 174 176 187 192 200 204 220 232 240 242 250 255 256 264 272 275 289 290 300 319 320 330 340 348 352 363 374 375 384 400 408 425 435 440 464 480 484 493 500 510 512 528 544 550 561 578 580 600 605 625 638 640 660 680 696 704 725 726 748 750 768 800 816 825 850 867 870 880 928 935 957 960 968 986 1000 1020 1024 1056 1088 1100 1122 1156 1160 1200 1210 1250 1275 1276 1280 1320 1360 1375 1392 1408 1445 1450 1452 1479 1496 1500 1536 1595 1600 1632 1650 1700 1734 1740 1760 1815 1856 1870 1875 1914 1920 1936 1972 2000 2040 2048 2057 2112 2125 2175 2176 2200 2244 2312 2320 2400 2420 2465 2500 2550 2552 2560 2640 2720 2750 2784 2805 2816 2890 2900 2904 2958 2992 3000 3025 3072 3179 3190 3200 3264 3300 3400 3468 3480 3509 3520 3527 3625 3630 3712 3740 3750 3828 3840 3872 3944 4000 4080 4114 4125 4224 4250 4335 4350 4352 4400 4488 4624 4640 4675 4785 4800 4840 4930 5000 5100 5104 5120 5280 5423 5440 5500 5568 5610 5632 5780 5800 5808 5916 5984 6000 6050 6144 6171 6358 6375 6380 6400 6528 6600 6800 6875 6936 6960 7018 7040 7054 7225 7250 7260 7395 7424 7480 7500 7656 7680 7744 7888 7975 8000 8160 8228 8250 8381 8448 8500 8670 8700 8704 8800 8976 9075 9248 9280 9350 9537 9570 9600 9680 9860 10000 10200 10208 10240 10285 10527 10560 10581 10625 10846 10875 10880 11000 11136 11220 11264 11560 11600 11616 11832 11968 12000 12100 12325 12342 12716 12750 12760 12800 13056 13200 13600 13750 13872 13920 14025 14036 14080 14108 14450 14500 14520 14790 14848 14960 15000 15125 15312 15360 15488 15776 15895 15950 16000 16269 16320 16456 16500 16762 16896 17000 17340 17400 17408 17545 17600 17635 17952 18125 18150 18496 18560 18700 19074 19140 19200 19360 19720 20000 20400 20416 20570 20625 21054 21120 21162 21250 21675 21692 21750 21760 22000 22272 22440 22528 23120 23200 23232 23375 23664 23925 23936 24000 24200 24650 24684 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28613873816000 29600559120000 31215135072000 31573929728000 32316845721600 33663380960000 34336648579200 35767342270000 36625758484480 36723688320000 37836527360000 39018918840000 39467412160000 40396057152000 41620180096000 42920810724000 43055358720000 45782198105600 47360894592000 47524773120000 49944216115200 50495071440000 52025225120000 53651013405000 53861409536000 54938637726720 56754791040000 57227747632000 59201118240000 62430270144000 67326761920000 68673297158400 71534684540000 73447376640000 78037837680000 78934824320000 80792114304000 83240360192000 85841621448000 91564396211200 94721789184000 100990142880000 104050450240000 107302026810000 109877275453440 113509582080000 114455495264000 118402236480000 124860540288000 134653523840000 137346594316800 143069369080000 156075675360000 157869648640000 161584228608000 171683242896000 183128792422400 201980285760000 208100900480000 214604053620000 228910990528000 236804472960000 249721080576000 269307047680000 274693188633600 286138738160000 312151350720000 343366485792000 403960571520000 416201800960000 429208107240000 457821981056000 473608945920000 549386377267200 572277476320000 624302701440000 686732971584000 807921143040000 858416214480000 915643962112000 1144554952640000 1248605402880000 1373465943168000 1716832428960000 2289109905280000 2746931886336000 3433664857920000 4578219810560000 6867329715840000 13734659431680000
- Sum of all divisors σ(n): 55284677299051200
- Sum of proper divisors (its aliquot sum) s(n): 41550017867371200
- 13734659431680000 is an abundant number, because the sum of its proper divisors (41550017867371200) is greater than itself. Its abundance is 27815358435691200
Bases of 13734659431680000
- Binary: 1100001100101110011001100110001000100101001000000000002
- Hexadecimal: 0x30CB9998894800
- Base-36: 3R8J3FR82YO
Squares and roots of 13734659431680000
- 13734659431680000 squared (137346594316800002) is 188640869704236380587622400000000
- 13734659431680000 cubed (137346594316800003) is 2590918100283608176689974056826437632000000000000
-
The
square root of 13734659431680000 is 117194963.3375086645 -
The
cube root of 13734659431680000 is 239481.8650278295
Scales and comparisons
How big is 13734659431680000?- 13,734,659,431,680,000 seconds is equal to 436,719,685 years, 43 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 13,734,659,431,680,000 would take you about one billion, three hundred ten million, one hundred fifty-nine thousand and fifty-seven 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 13734659431680000 cubic inches would be around 19956.8 feet tall.
Recreational maths with 13734659431680000
- 13734659431680000 backwards is 00008613495643731
- 13734659431680000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13734659431680000's digits is 60
- More coming soon!
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The information we have on file for 13734659431680000 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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