13688601937920000
13,688,601,937,920,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13688601937920000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 9600 divisors.
13688601937920000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine thousand, six hundred divisors.
Prime factorization of 13688601937920000:
214 × 33 × 54 × 7 × 13 × 29 × 73 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 29 × 73 × 257)See below for interesting mathematical facts about the number 13688601937920000 from the Numbermatics database.
Names of 13688601937920000
- Cardinal: 13688601937920000 can be written as Thirteen quadrillion, six hundred eighty-eight trillion, six hundred one billion, nine hundred thirty-seven million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 1.368860193792 × 1016
Factors of 13688601937920000
Divisors of 13688601937920000
- Number of divisors d(n): 9600
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 29 30 32 35 36 39 40 42 45 48 50 52 54 56 58 60 63 64 65 70 72 73 75 78 80 84 87 90 91 96 100 104 105 108 112 116 117 120 125 126 128 130 135 140 144 145 146 150 156 160 168 174 175 180 182 189 192 195 200 203 208 210 216 219 224 225 232 234 240 250 252 256 257 260 261 270 273 280 288 290 292 300 312 315 320 325 336 348 350 351 360 364 365 375 377 378 384 390 400 406 416 420 432 435 438 448 450 455 464 468 480 500 504 511 512 514 520 522 525 540 546 560 576 580 584 585 600 609 624 625 630 640 650 657 672 675 696 700 702 720 725 728 730 750 754 756 768 771 780 783 800 812 819 832 840 864 870 875 876 896 900 910 928 936 945 949 960 975 1000 1008 1015 1022 1024 1028 1040 1044 1050 1080 1092 1095 1120 1125 1131 1152 1160 1168 1170 1200 1218 1248 1250 1260 1280 1285 1300 1305 1314 1344 1350 1365 1392 1400 1404 1440 1450 1456 1460 1500 1508 1512 1533 1536 1542 1560 1566 1575 1600 1624 1625 1638 1664 1680 1728 1740 1750 1752 1755 1792 1799 1800 1820 1825 1827 1856 1872 1875 1885 1890 1898 1920 1950 1971 2000 2016 2030 2044 2048 2056 2080 2088 2100 2117 2160 2175 2184 2190 2240 2250 2262 2275 2304 2313 2320 2336 2340 2400 2436 2457 2496 2500 2520 2555 2560 2570 2600 2610 2625 2628 2639 2688 2700 2730 2784 2800 2808 2847 2880 2900 2912 2920 2925 3000 3016 3024 3045 3066 3072 3084 3120 3132 3150 3200 3248 3250 3276 3285 3328 3341 3360 3375 3393 3456 3480 3500 3504 3510 3584 3598 3600 3625 3640 3650 3654 3712 3744 3750 3770 3780 3796 3840 3855 3900 3915 3942 4000 4032 4060 4088 4095 4096 4112 4160 4176 4200 4234 4320 4350 4368 4375 4380 4480 4500 4524 4550 4599 4608 4626 4640 4672 4680 4725 4745 4800 4872 4875 4914 4992 5000 5040 5075 5110 5120 5140 5200 5220 5250 5256 5278 5376 5397 5400 5460 5475 5481 5568 5600 5616 5625 5655 5694 5760 5800 5824 5840 5850 6000 6032 6048 6090 6132 6144 6168 6240 6264 6300 6351 6400 6425 6496 6500 6525 6552 6570 6643 6656 6682 6720 6750 6786 6825 6912 6939 6960 7000 7008 7020 7168 7196 7200 7250 7280 7300 7308 7424 7453 7488 7500 7540 7560 7592 7665 7680 7710 7800 7830 7875 7884 7917 8000 8064 8120 8125 8176 8190 8192 8224 8320 8352 8400 8468 8541 8640 8700 8736 8750 8760 8775 8960 8995 9000 9048 9100 9125 9135 9198 9216 9252 9280 9344 9360 9425 9450 9490 9600 9744 9750 9828 9855 9984 10000 10023 10080 10150 10179 10220 10240 10280 10400 10440 10500 10512 10556 10585 10752 10794 10800 10875 10920 10950 10962 11136 11200 11232 11250 11310 11375 11388 11520 11565 11600 11648 11680 11700 12000 12064 12096 12180 12264 12285 12288 12336 12480 12528 12600 12702 12775 12800 12850 12992 13000 13050 13104 13125 13140 13195 13286 13312 13364 13440 13500 13572 13650 13797 13824 13878 13920 14000 14016 14040 14235 14336 14392 14400 14500 14560 14600 14616 14625 14819 14848 14906 14976 15000 15080 15120 15184 15225 15330 15360 15420 15600 15660 15750 15768 15834 16000 16128 16191 16240 16250 16352 16380 16384 16425 16448 16640 16704 16705 16800 16875 16936 16965 17082 17280 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114071682816000 116996597760000 118005189120000 122219660160000 126746314240000 130367637504000 131621172480000 136886019379200 142589603520000 150424197120000 152095577088000 157340252160000 162959546880000 171107524224000 175494896640000 182514692505600 187515095040000 190119471360000 195551456256000 210593875968000 213884405280000 217279395840000 228143365632000 236010378240000 244439320320000 253492628480000 263242344960000 273772038758400 285179207040000 304191154176000 325919093760000 342215048448000 350989793280000 380238942720000 391102912512000 427768810560000 456286731264000 472020756480000 488878640640000 506985256960000 526484689920000 547544077516800 570358414080000 651838187520000 684430096896000 760477885440000 855537621120000 912573462528000 977757281280000 1052969379840000 1140716828160000 1368860193792000 1520955770880000 1711075242240000 1955514562560000 2281433656320000 2737720387584000 3422150484480000 4562867312640000 6844300968960000 13688601937920000
- Sum of all divisors σ(n): 65665674477849600
- Sum of proper divisors (its aliquot sum) s(n): 51977072539929600
- 13688601937920000 is an abundant number, because the sum of its proper divisors (51977072539929600) is greater than itself. Its abundance is 38288470602009600
Bases of 13688601937920000
- Binary: 1100001010000110110101111111111111101101000000000000002
- Hexadecimal: 0x30A1B5FFFB4000
- Base-36: 3QS7CX0LXC0
Squares and roots of 13688601937920000
- 13688601937920000 squared (136886019379200002) is 187377823014827179533926400000000
- 13688601937920000 cubed (136886019379200003) is 2564940431243994106661992681426649088000000000000
-
The
square root of 13688601937920000 is 116998298.8676331139 -
The
cube root of 13688601937920000 is 239213.8742376535
Scales and comparisons
How big is 13688601937920000?- 13,688,601,937,920,000 seconds is equal to 435,255,200 years.
-
To count from 1 to 13,688,601,937,920,000 would take you about one billion, three hundred five million, seven hundred sixty-five thousand, six hundred 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 13688601937920000 cubic inches would be around 19934.5 feet tall.
Recreational maths with 13688601937920000
- 13688601937920000 backwards is 00002973910688631
- 13688601937920000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13688601937920000's digits is 63
- More coming soon!
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"Number 13688601937920000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13688601937920000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13688601937920000/
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Numbermatics. 2024. "Number 13688601937920000 - Facts about the integer". https://numbermatics.com/n/13688601937920000/
The information we have on file for 13688601937920000 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!
Keywords: Divisors of 13688601937920000, math, Factors of 13688601937920000, curriculum, school, college, exams, university, Prime factorization of 13688601937920000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred eighty-eight trillion, six hundred one billion, nine hundred thirty-seven million, nine hundred twenty thousand.