13956946348800
13,956,946,348,800 is an even composite number composed of seven prime numbers multiplied together.
13956946348800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13956946348800:
28 × 3 × 52 × 7 × 13 × 409 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 409 × 19531)See below for interesting mathematical facts about the number 13956946348800 from the Numbermatics database.
Names of 13956946348800
- Cardinal: 13956946348800 can be written as Thirteen trillion, nine hundred fifty-six billion, nine hundred forty-six million, three hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39569463488 × 1013
Factors of 13956946348800
Divisors of 13956946348800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 256 260 273 280 300 312 320 325 336 350 364 384 390 400 409 416 420 448 455 480 520 525 546 560 600 624 640 650 672 700 728 768 780 800 818 832 840 896 910 960 975 1040 1050 1092 1120 1200 1227 1248 1280 1300 1344 1365 1400 1456 1560 1600 1636 1664 1680 1792 1820 1920 1950 2045 2080 2100 2184 2240 2275 2400 2454 2496 2600 2688 2730 2800 2863 2912 3120 3200 3272 3328 3360 3640 3840 3900 4090 4160 4200 4368 4480 4550 4800 4908 4992 5200 5317 5376 5460 5600 5726 5824 6135 6240 6400 6544 6720 6825 7280 7800 8180 8320 8400 8589 8736 8960 9100 9600 9816 9984 10225 10400 10634 10920 11200 11452 11648 12270 12480 13088 13440 13650 14315 14560 15600 15951 16360 16640 16800 17178 17472 18200 19200 19531 19632 20450 20800 21268 21840 22400 22904 23296 24540 24960 26176 26585 26880 27300 28630 29120 30675 31200 31902 32720 33600 34356 34944 36400 37219 39062 39264 40900 41600 42536 42945 43680 44800 45808 49080 49920 52352 53170 54600 57260 58240 58593 61350 62400 63804 65440 67200 68712 69888 71575 72800 74438 78124 78528 79755 81800 83200 85072 85890 87360 91616 97655 98160 104704 106340 109200 111657 114520 116480 117186 122700 124800 127608 130880 132925 134400 136717 137424 143150 145600 148876 156248 157056 159510 163600 170144 171780 174720 183232 186095 195310 196320 212680 214725 218400 223314 229040 234372 245400 249600 253903 255216 261760 265850 273434 274848 286300 291200 292965 297752 312496 314112 319020 327200 340288 343560 349440 366464 372190 390620 392640 398775 410151 425360 429450 436800 446628 458080 468744 488275 490800 507806 510432 523520 531700 546868 549696 558285 572600 582400 585930 595504 624992 638040 654400 680576 683585 687120 732928 744380 761709 781240 785280 797550 820302 850720 858900 873600 893256 916160 930475 937488 976550 981600 1015612 1020864 1063400 1093736 1099392 1116570 1145200 1171860 1191008 1249984 1269515 1276080 1308800 1361152 1367170 1374240 1464825 1488760 1523418 1562480 1570560 1595100 1640604 1701440 1717800 1747200 1777321 1786512 1832320 1860950 1874976 1953100 1963200 2031224 2041728 2050755 2126800 2187472 2198784 2233140 2290400 2343720 2382016 2499968 2539030 2552160 2617600 2734340 2748480 2791425 2929650 2977520 3046836 3124960 3190200 3281208 3402880 3417925 3435600 3554642 3573024 3664640 3721900 3749952 3808545 3906200 3926400 4062448 4083456 4101510 4253600 4374944 4466280 4580800 4687440 4764032 4999936 5078060 5104320 5331963 5468680 5496960 5582850 5859300 5955040 6093672 6249920 6347575 6380400 6562416 6805760 6835850 6871200 7109284 7146048 7443800 7499904 7617090 7812400 7852800 7988179 8124896 8203020 8507200 8749888 8886605 8932560 9161600 9374880 9528064 10156120 10208640 10253775 10663926 10937360 10993920 11165700 11718600 11910080 12187344 12499840 12695150 12760800 13124832 13671700 13742400 14218568 14292096 14887600 14999808 15234180 15624800 15976358 16249792 16406040 17014400 17499776 17773210 17865120 18323200 18749760 19042725 20312240 20417280 20507550 21327852 21874720 22331400 23437200 23820160 23964537 24374688 24999680 25390300 25521600 26249664 26659815 27343400 27484800 28437136 28584192 29775200 30468360 31249600 31952716 32499584 32812080 34028800 34999552 35546420 35730240 37499520 38085450 39940895 40624480 41015100 42655704 43749440 44433025 44662800 46874400 47640320 47929074 48749376 50780600 51043200 52499328 53319630 54686800 54969600 55917253 56874272 59550400 60936720 62499200 63905432 64999168 65624160 71092840 71460480 74999040 76170900 79881790 81248960 82030200 85311408 87498880 88866050 89325600 93748800 95858148 97498752 101561200 102086400 103846327 104998656 106639260 109373600 111834506 113748544 119100800 119822685 121873440 124998400 127810864 131248320 133299075 142185680 142920960 152341800 159763580 162497920 164060400 167751759 170622816 174997760 177732100 178651200 187497600 191716296 194997504 199704475 203122400 207692654 213278520 218747200 223669012 227497088 238201600 239645370 243746880 255621728 262496640 266598150 279586265 284371360 304683600 311538981 319527160 324995840 328120800 335503518 341245632 355464200 357302400 374995200 383432592 399408950 406244800 415385308 426557040 437494400 447338024 454994176 479290740 487493760 511243456 519231635 524993280 533196300 559172530 568742720 599113425 609367200 623077962 639054320 656241600 671007036 682491264 710928400 714604800 726924289 766865184 798817900 812489600 830770616 838758795 853114080 874988800 894676048 958581480 974987520 1022486912 1038463270 1066392600 1118345060 1137485440 1198226850 1218734400 1246155924 1278108640 1312483200 1342014072 1364982528 1397931325 1421856800 1453848578 1533730368 1557694905 1597635800 1624979200 1661541232 1677517590 1706228160 1789352096 1917162960 2044973824 2076926540 2132785200 2180772867 2236690120 2274970880 2396453700 2437468800 2492311848 2556217280 2596158175 2624966400 2684028144 2795862650 2843713600 2907697156 3067460736 3115389810 3195271600 3323082464 3355035180 3412456320 3578704192 3634621445 3834325920 4153853080 4193793975 4265570400 4361545734 4473380240 4792907400 4874937600 4984623696 5112434560 5192316350 5368056288 5591725300 5687427200 5815394312 6134921472 6230779620 6390543200 6646164928 6710070360 6824912640 7157408384 7269242890 7668651840 7788474525 8307706160 8387587950 8531140800 8723091468 8946760480 9585814800 9969247392 10224869120 10384632700 10736112576 10903864335 11183450600 11374854400 11630788624 12461559240 12781086400 13292329856 13420140720 14314816768 14538485780 15337303680 15576949050 16615412320 16775175900 17062281600 17446182936 17893520960 18173107225 19171629600 19938494784 20769265400 21472225152 21807728670 22366901200 23261577248 24923118480 25562172800 26584659712 26840281440 29076971560 30674607360 31153898100 33230824640 33550351800 34124563200 34892365872 35787041920 36346214450 38343259200 39876989568 41538530800 42944450304 43615457340 44733802400 46523154496 49846236960 51124345600 53680562880 54519321675 58153943120 62307796200 66461649280 67100703600 69784731744 71574083840 72692428900 76686518400 79753979136 83077061600 87230914680 89467604800 93046308992 99692473920 107361125760 109038643350 116307886240 124615592400 132923298560 134201407200 139569463488 145384857800 153373036800 166154123200 174461829360 178935209600 186092617984 199384947840 214722251520 218077286700 232615772480 249231184800 268402814400 279138926976 290769715600 332308246400 348923658720 357870419200 398769895680 436154573400 465231544960 498462369600 536805628800 558277853952 581539431200 664616492800 697847317440 872309146800 930463089920 996924739200 1073611257600 1163078862400 1395694634880 1744618293600 1993849478400 2326157724800 2791389269760 3489236587200 4652315449600 6978473174400 13956946348800
- Sum of all divisors σ(n): 56831769756160
- Sum of proper divisors (its aliquot sum) s(n): 42874823407360
- 13956946348800 is an abundant number, because the sum of its proper divisors (42874823407360) is greater than itself. Its abundance is 28917877058560
Bases of 13956946348800
- Binary: 110010110001100110101101010001001011000000002
- Hexadecimal: 0xCB19AD44B00
- Base-36: 4Y3QDHXXC
Squares and roots of 13956946348800
- 13956946348800 squared (139569463488002) is 194796351383281651261440000
- 13956946348800 cubed (139569463488003) is 2718762225198454671935389922230272000000
-
The
square root of 13956946348800 is 3735899.6706014469 -
The
cube root of 13956946348800 is 24076.6912191173
Scales and comparisons
How big is 13956946348800?- 13,956,946,348,800 seconds is equal to 443,787 years, 37 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 13,956,946,348,800 would take you about one million, one hundred nine thousand, four hundred sixty-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 13956946348800 cubic inches would be around 2006.4 feet tall.
Recreational maths with 13956946348800
- 13956946348800 backwards is 00884364965931
- The number of decimal digits it has is: 14
- The sum of 13956946348800's digits is 66
- More coming soon!
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"Number 13956946348800 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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The information we have on file for 13956946348800 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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