14315406144000
14,315,406,144,000 is an even composite number composed of five prime numbers multiplied together.
14315406144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 14315406144000:
29 × 3 × 53 × 13 × 1793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 179 × 179 × 179)See below for interesting mathematical facts about the number 14315406144000 from the Numbermatics database.
Names of 14315406144000
- Cardinal: 14315406144000 can be written as Fourteen trillion, three hundred fifteen billion, four hundred six million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.4315406144 × 1013
Factors of 14315406144000
Divisors of 14315406144000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 179 192 195 200 208 240 250 256 260 300 312 320 325 358 375 384 390 400 416 480 500 512 520 537 600 624 640 650 716 750 768 780 800 832 895 960 975 1000 1040 1074 1200 1248 1280 1300 1432 1500 1536 1560 1600 1625 1664 1790 1920 1950 2000 2080 2148 2327 2400 2496 2560 2600 2685 2864 3000 3120 3200 3250 3328 3580 3840 3900 4000 4160 4296 4475 4654 4800 4875 4992 5200 5370 5728 6000 6240 6400 6500 6656 6981 7160 7680 7800 8000 8320 8592 8950 9308 9600 9750 9984 10400 10740 11456 11635 12000 12480 12800 13000 13425 13962 14320 15600 16000 16640 17184 17900 18616 19200 19500 19968 20800 21480 22375 22912 23270 24000 24960 26000 26850 27924 28640 31200 32000 32041 33280 34368 34905 35800 37232 38400 39000 41600 42960 44750 45824 46540 48000 49920 52000 53700 55848 57280 58175 62400 64000 64082 67125 68736 69810 71600 74464 78000 83200 85920 89500 91648 93080 96000 96123 99840 104000 107400 111696 114560 116350 124800 128164 134250 137472 139620 143200 148928 156000 160205 166400 171840 174525 179000 186160 192000 192246 208000 214800 223392 229120 232700 249600 256328 268500 274944 279240 286400 290875 297856 312000 320410 343680 349050 358000 372320 384492 416000 416533 429600 446784 458240 465400 480615 499200 512656 537000 558480 572800 581750 595712 624000 640820 687360 698100 716000 744640 768984 801025 832000 833066 859200 872625 893568 930800 961230 1025312 1074000 1116960 1145600 1163500 1191424 1248000 1249599 1281640 1374720 1396200 1432000 1489280 1537968 1602050 1666132 1718400 1745250 1787136 1861600 1922460 2050624 2082665 2148000 2233920 2291200 2327000 2403075 2496000 2499198 2563280 2792400 2864000 2978560 3075936 3204100 3332264 3436800 3490500 3574272 3723200 3844920 4005125 4101248 4165330 4296000 4467840 4654000 4806150 4998396 5126560 5584800 5728000 5735339 5957120 6151872 6247995 6408200 6664528 6873600 6981000 7446400 7689840 8010250 8202496 8330660 8592000 8935680 9308000 9612300 9996792 10253120 10413325 11169600 11456000 11470678 12015375 12303744 12495990 12816400 13329056 13962000 14892800 15379680 16020500 16404992 16661320 17184000 17206017 17871360 18616000 19224600 19993584 20506240 20826650 22339200 22941356 24030750 24607488 24991980 25632800 26658112 27924000 28676695 29785600 30759360 31239975 32041000 33322640 34368000 34412034 37232000 38449200 39987168 41012480 41653300 44678400 45882712 48061500 49214976 49983960 51265600 52066625 53316224 55848000 57353390 61518720 62479950 64082000 66645280 68824068 74464000 74559407 76898400 79974336 82024960 83306600 86030085 89356800 91765424 96123000 99967920 102531200 104133250 106632448 111696000 114706780 123037440 124959900 128164000 133290560 137648136 143383475 148928000 149118814 153796800 156199875 159948672 166613200 172060170 183530848 192246000 199935840 205062400 208266500 213264896 223392000 223678221 229413560 246074880 249919800 256328000 266581120 275296272 286766950 298237628 307593600 312399750 319897344 333226400 344120340 367061696 372797035 384492000 399871680 410124800 416533000 430150425 446784000 447356442 458827120 499839600 512656000 533162240 550592544 573533900 596475256 615187200 624799500 639794688 666452800 688240680 716917375 734123392 745594070 768984000 799743360 833066000 860300850 894712884 917654240 999679200 1025312000 1066324480 1101185088 1118391105 1147067800 1192950512 1230374400 1249599000 1332905600 1376481360 1433834750 1468246784 1491188140 1537968000 1599486720 1666132000 1720601700 1789425768 1835308480 1863985175 1999358400 2050624000 2150752125 2202370176 2236782210 2294135600 2385901024 2499198000 2665811200 2752962720 2867669500 2936493568 2982376280 3075936000 3198973440 3332264000 3441203400 3578851536 3670616960 3727970350 3998716800 4301504250 4404740352 4473564420 4588271200 4771802048 4998396000 5331622400 5505925440 5591955525 5735339000 5964752560 6151872000 6664528000 6882406800 7157703072 7341233920 7455940700 7997433600 8603008500 8809480704 8947128840 9176542400 9319925875 9543604096 9996792000 11011850880 11183911050 11470678000 11929505120 13329056000 13764813600 14315406144 14682467840 14911881400 15994867200 17206017000 17894257680 18353084800 18639851750 19087208192 19993584000 22023701760 22367822100 22941356000 23859010240 26658112000 27529627200 27959777625 28630812288 29823762800 34412034000 35788515360 36706169600 37279703500 38174416384 39987168000 44047403520 44735644200 45882712000 47718020480 55059254400 55919555250 57261624576 59647525600 68824068000 71577030720 73412339200 74559407000 79974336000 89471288400 91765424000 95436040960 110118508800 111839110500 114523249152 119295051200 137648136000 143154061440 149118814000 178942576800 183530848000 190872081920 220237017600 223678221000 238590102400 275296272000 286308122880 298237628000 357885153600 367061696000 447356442000 477180204800 550592544000 572616245760 596475256000 715770307200 894712884000 954360409600 1101185088000 1192950512000 1431540614400 1789425768000 2385901024000 2863081228800 3578851536000 4771802048000 7157703072000 14315406144000
- Sum of all divisors σ(n): 51544268455680
- Sum of proper divisors (its aliquot sum) s(n): 37228862311680
- 14315406144000 is an abundant number, because the sum of its proper divisors (37228862311680) is greater than itself. Its abundance is 22913456167680
Bases of 14315406144000
- Binary: 110100000101000100001011001010110010000000002
- Hexadecimal: 0xD0510B2B200
- Base-36: 52OEN7E2O
Squares and roots of 14315406144000
- 14315406144000 squared (143154061440002) is 204930853067672948736000000
- 14315406144000 cubed (143154061440003) is 2933668393100126578117931433984000000000
-
The
square root of 14315406144000 is 3783570.5549123833 -
The
cube root of 14315406144000 is 24281.0739319815
Scales and comparisons
How big is 14315406144000?- 14,315,406,144,000 seconds is equal to 455,185 years, 33 weeks, 2 hours, 40 minutes.
-
To count from 1 to 14,315,406,144,000 would take you about one million, one hundred thirty-seven thousand, nine hundred sixty-four 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 14315406144000 cubic inches would be around 2023.4 feet tall.
Recreational maths with 14315406144000
- 14315406144000 backwards is 00044160451341
- The number of decimal digits it has is: 14
- The sum of 14315406144000's digits is 33
- More coming soon!
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