13792961968000
13,792,961,968,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13792961968000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
13792961968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13792961968000:
27 × 53 × 172 × 67 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 67 × 211 × 211)See below for interesting mathematical facts about the number 13792961968000 from the Numbermatics database.
Names of 13792961968000
- Cardinal: 13792961968000 can be written as Thirteen trillion, seven hundred ninety-two billion, nine hundred sixty-one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3792961968 × 1013
Factors of 13792961968000
Divisors of 13792961968000
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 67 68 80 85 100 125 128 134 136 160 170 200 211 250 268 272 289 320 335 340 400 422 425 500 536 544 578 640 670 680 800 844 850 1000 1055 1072 1088 1139 1156 1340 1360 1445 1600 1675 1688 1700 2000 2110 2125 2144 2176 2278 2312 2680 2720 2890 3200 3350 3376 3400 3587 4000 4220 4250 4288 4556 4624 5275 5360 5440 5695 5780 6700 6752 6800 7174 7225 8000 8375 8440 8500 8576 9112 9248 10550 10720 10880 11390 11560 13400 13504 13600 14137 14348 14450 16000 16750 16880 17000 17935 18224 18496 19363 21100 21440 22780 23120 26375 26800 27008 27200 28274 28475 28696 28900 33500 33760 34000 35870 36125 36448 36992 38726 42200 42880 44521 45560 46240 52750 53600 54400 56548 56950 57392 57800 60979 67000 67520 68000 70685 71740 72250 72896 77452 84400 89042 89675 91120 92480 96815 105500 107200 113096 113900 114784 115600 121958 134000 135040 136000 141370 142375 143480 144500 145792 154904 168800 178084 179350 182240 184960 193630 211000 214400 222605 226192 227800 229568 231200 240329 243916 268000 272000 282740 284750 286960 289000 304895 309808 337600 353425 356168 358700 364480 387260 422000 445210 448375 452384 455600 459136 462400 480658 484075 487832 536000 565480 569500 573920 578000 609790 619616 675200 706850 712336 717400 728960 756857 774520 844000 890420 896750 904768 911200 924800 961316 968150 975664 1072000 1113025 1130960 1139000 1147840 1156000 1201645 1219580 1239232 1413700 1424672 1434800 1513714 1524475 1549040 1688000 1767125 1780840 1793500 1809536 1822400 1922632 1936300 1951328 2226050 2261920 2278000 2295680 2312000 2403290 2420375 2439160 2478464 2827400 2849344 2869600 2982907 3027428 3048950 3098080 3376000 3534250 3561680 3587000 3644800 3784285 3845264 3872600 3902656 4085593 4452100 4523840 4556000 4624000 4806580 4840750 4878320 5565125 5654800 5698688 5739200 5965814 6008225 6054856 6097900 6196160 7068500 7123360 7174000 7568570 7622375 7690528 7745200 7805312 8171186 8904200 9047680 9112000 9613160 9681500 9756640 11130250 11309600 11478400 11931628 12016450 12109712 12195800 12392320 12866569 14137000 14246720 14348000 14914535 15137140 15244750 15381056 15490400 16342372 17808400 18224000 18921425 19226320 19363000 19513280 20427965 22260500 22619200 23863256 24032900 24219424 24391600 25733138 28274000 28493440 28696000 29829070 30041125 30274280 30489500 30762112 30980800 32684744 35616800 37842850 38452640 38726000 39026560 40855930 44521000 45238400 47726512 48065800 48438848 48783200 50709419 51466276 56548000 57392000 59658140 60082250 60548560 60979000 61961600 64332845 65369488 71233600 74572675 75685700 76905280 77452000 81711860 89042000 94607125 95453024 96131600 96877696 97566400 101418838 102139825 102932552 113096000 119316280 120164500 121097120 121958000 128665690 130738976 142467200 149145350 151371400 153810560 154904000 163423720 178084000 189214250 190906048 192263200 195132800 202837676 204279650 205865104 226192000 238632560 240329000 242194240 243916000 253547095 257331380 261477952 298290700 302742800 309808000 321664225 326847440 356168000 372863375 378428500 381812096 384526400 405675352 408559300 411730208 477265120 480658000 484388480 487832000 507094190 510699125 514662760 522955904 596581400 605485600 643328450 653694880 712336000 745726750 756857000 769052800 811350704 817118600 823460416 862060123 954530240 961316000 975664000 1014188380 1021398250 1029325520 1193162800 1210971200 1267735475 1286656900 1307389760 1491453500 1513714000 1608321125 1622701408 1634237200 1646920832 1724120246 1909060480 1922632000 2028376760 2042796500 2058651040 2386325600 2421942400 2535470950 2573313800 2614779520 2982907000 3027428000 3216642250 3245402816 3268474400 3448240492 3845264000 4056753520 4085593000 4117302080 4310300615 4772651200 5070941900 5146627600 5965814000 6054856000 6338677375 6433284500 6490805632 6536948800 6896480984 8113507040 8171186000 8234604160 8620601230 9545302400 10141883800 10293255200 11931628000 12109712000 12677354750 12866569000 13073897600 13792961968 16227014080 16342372000 17241202460 20283767600 20586510400 21551503075 23863256000 25354709500 25733138000 27585923936 32454028160 32684744000 34482404920 40567535200 41173020800 43103006150 47726512000 50709419000 51466276000 55171847872 65369488000 68964809840 81135070400 86206012300 101418838000 102932552000 107757515375 110343695744 137929619680 162270140800 172412024600 202837676000 205865104000 215515030750 275859239360 344824049200 405675352000 431030061500 551718478720 689648098400 811350704000 862060123000 1379296196800 1724120246000 2758592393600 3448240492000 6896480984000 13792961968000
- Sum of all divisors σ(n): 37148398176240
- Sum of proper divisors (its aliquot sum) s(n): 23355436208240
- 13792961968000 is an abundant number, because the sum of its proper divisors (23355436208240) is greater than itself. Its abundance is 9562474240240
Bases of 13792961968000
- Binary: 110010001011011011001001100100110111100000002
- Hexadecimal: 0xC8B6C993780
- Base-36: 4W0EDFJWG
Squares and roots of 13792961968000
- 13792961968000 squared (137929619680002) is 190245799850694433024000000
- 13792961968000 cubed (137929619680003) is 2624053081912368393089355231232000000000
-
The
square root of 13792961968000 is 3713887.7161271313 -
The
cube root of 13792961968000 is 23982.0247163359
Scales and comparisons
How big is 13792961968000?- 13,792,961,968,000 seconds is equal to 438,573 years, 27 weeks, 2 days, 12 hours, 26 minutes, 40 seconds.
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To count from 1 to 13,792,961,968,000 would take you about one million, ninety-six thousand, four hundred thirty-three 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 13792961968000 cubic inches would be around 1998.5 feet tall.
Recreational maths with 13792961968000
- 13792961968000 backwards is 00086916929731
- The number of decimal digits it has is: 14
- The sum of 13792961968000's digits is 61
- More coming soon!
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