13948183408959000
13,948,183,408,959,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13948183408959000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2048 divisors.
13948183408959000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13948183408959000:
23 × 33 × 53 × 19 × 313 × 973
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 31 × 31 × 31 × 97 × 97 × 97)See below for interesting mathematical facts about the number 13948183408959000 from the Numbermatics database.
Names of 13948183408959000
- Cardinal: 13948183408959000 can be written as Thirteen quadrillion, nine hundred forty-eight trillion, one hundred eighty-three billion, four hundred eight million, nine hundred fifty-nine thousand.
Scientific notation
- Scientific notation: 1.3948183408959 × 1016
Factors of 13948183408959000
Divisors of 13948183408959000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 27 30 31 36 38 40 45 50 54 57 60 62 72 75 76 90 93 95 97 100 108 114 120 124 125 135 150 152 155 171 180 186 190 194 200 216 225 228 248 250 270 279 285 291 300 310 342 360 372 375 380 388 450 456 465 475 485 500 513 540 558 570 582 589 600 620 675 684 744 750 760 775 776 837 855 873 900 930 950 961 970 1000 1026 1080 1116 1125 1140 1164 1178 1240 1350 1368 1395 1425 1455 1500 1550 1674 1710 1746 1767 1800 1843 1860 1900 1922 1940 2052 2232 2250 2280 2325 2328 2356 2375 2425 2565 2619 2700 2790 2850 2883 2910 2945 3000 3007 3100 3348 3375 3420 3492 3534 3686 3720 3800 3844 3875 3880 4104 4185 4275 4365 4500 4650 4712 4750 4805 4850 5130 5238 5301 5400 5529 5580 5700 5766 5820 5890 6014 6200 6696 6750 6840 6975 6984 7068 7125 7275 7372 7688 7750 8370 8550 8649 8730 8835 9000 9021 9215 9300 9409 9500 9610 9700 10260 10476 10602 11058 11160 11400 11532 11625 11640 11780 12028 12125 12825 13095 13500 13950 14136 14250 14415 14550 14725 14744 15035 15500 15903 16587 16740 17100 17298 17460 17670 18042 18259 18430 18600 18818 19000 19220 19400 20520 20925 20952 21204 21375 21825 22116 23064 23250 23560 24025 24056 24250 25650 25947 26190 26505 27000 27063 27645 27900 28227 28500 28830 29100 29450 29791 30070 31000 31806 33174 33480 34200 34596 34875 34920 35340 36084 36375 36518 36860 37636 38440 41850 42408 42750 43245 43650 44175 44232 45105 46075 46500 47045 48050 48500 49761 51300 51894 52380 53010 54126 54777 55290 55800 56454 57000 57133 57660 58200 58900 59582 60140 63612 64125 65475 66348 69192 69750 70680 72075 72168 72750 73036 73625 73720 75175 75272 79515 81189 82935 83700 84681 85500 86490 87300 88350 89373 90210 91295 92150 93000 93217 94090 96100 97000 99522 102600 103788 104625 104760 106020 108252 109125 109554 110580 112908 114266 115320 117800 119164 120125 120280 127224 128250 129735 130950 132525 132696 135315 138225 139500 141135 144150 145500 146072 147250 148955 150350 159030 162378 164331 165870 167400 169362 171000 171399 172980 174600 176700 178746 178771 180420 182590 184300 186434 188180 192200 199044 207576 209250 212040 216225 216504 218250 219108 220875 221160 225525 225816 228532 230375 235225 238328 240250 248805 254043 256500 259470 261900 265050 268119 270630 273885 276450 279000 279651 282270 285665 288300 291000 291679 294500 297910 300700 318060 324756 327375 328662 331740 338724 342798 345960 353400 357492 357542 360375 360840 365180 368600 372868 375875 376360 397575 398088 405945 414675 418500 423405 432450 436500 438216 441750 446865 451050 456475 457064 460750 466085 470450 480500 492993 497610 508086 513000 514197 518940 523800 530100 536238 536313 541260 547770 552900 559302 564540 566029 571330 576600 583358 589000 595820 601400 636120 648675 649512 654750 657324 662625 663480 676575 677448 685596 691125 705675 714984 715084 720750 730360 744775 745736 751750 795150 804357 811890 821655 829350 837000 838953 846810 856995 864900 873000 875037 883500 893730 893855 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185303743875 185542845480 189204875325 189449010648 190976825250 191727606996 193273797375 193523182920 197342719425 199973955684 201586648875 210227639250 213030674440 217515530744 219269688250 231928556850 234100624500 236811263310 239659508745 241903978650 244135323000 244704972087 247071658500 249967444605 252273167100 254635767000 257698396500 263123625900 266288343050 268782198500 271894413430 280303519000 287591410494 290284774380 296485990200 299960933526 302727800520 309238075800 315341458875 315748351080 319546011660 322538638200 326273296116 328904532375 333289926140 362855967975 370607487750 378409750650 381953650500 383455213992 386547594750 394685438850 399432514575 399947911368 403173297750 407841620145 416612407675 420455278500 438539376500 449941400289 463857113700 468201249000 473622526620 479319017490 483807957300 489409944174 494143317000 499934889210 504546334200 515396793000 516599385517 526247251800 532576686100 537564397000 543788826860 575182820988 579821392125 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11840563165500 11982975437250 12235248604350 12398385252408 12498372230250 12914984637925 13594720671500 13948183408959 14379570524700 14514238719000 14682298325220 14998046676300 15497981565510 15977300583000 16313664805800 16664496307000 17974463155875 17997656011560 18352872906525 18597577878612 18747558345375 20392081007250 20663975420680 22497070014450 23246972348265 23681126331000 23965950874500 24470497208700 24996744460500 25829969275850 27189441343000 27896366817918 28759141049400 29364596650440 29996093352600 30588121510875 30995963131020 35948926311750 36705745813050 37195155757224 37495116690750 38744953913775 40784162014500 44994140028900 46493944696530 47931901749000 48940994417400 49993488921000 51659938551700 55792733635836 56242675036125 61176243021750 61991926262040 64574923189625 69740917044795 71897852623500 73411491626100 74990233381500 77489907827550 81568324029000 89988280057800 91764364532625 92987889393060 103319877103400 111585467271672 112485350072250 116234861741325 122352486043500 129149846379250 139481834089590 143795705247000 146822983252200 149980466763000 154979815655100 183528729065250 185975778786120 193724769568875 224970700144500 232469723482650 244704972087000 258299692758500 278963668179180 309959631310200 348704585223975 367057458130500 387449539137750 449941400289000 464939446965300 516599385517000 557927336358360 581174308706625 697409170447950 734114916261000 774899078275500 929878893930600 1162348617413250 1394818340895900 1549798156551000 1743522926119875 2324697234826500 2789636681791800 3487045852239750 4649394469653000 6974091704479500 13948183408959000
- Sum of all divisors σ(n): 53143064432640000
- Sum of proper divisors (its aliquot sum) s(n): 39194881023681000
- 13948183408959000 is an abundant number, because the sum of its proper divisors (39194881023681000) is greater than itself. Its abundance is 25246697614722000
Bases of 13948183408959000
- Binary: 1100011000110111001100100001010101101001011110000110002
- Hexadecimal: 0x318DCC855A5E18
- Base-36: 3TC7UZY9QU0
Squares and roots of 13948183408959000
- 13948183408959000 squared (139481834089590002) is 194551820409959110241463681000000
- 13948183408959000 cubed (139481834089590003) is 2713644473624962615201577375680368518079000000000
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The
square root of 13948183408959000 is 118102427.6167048141 -
The
cube root of 13948183408959000 is 240716.5127312067
Scales and comparisons
How big is 13948183408959000?- 13,948,183,408,959,000 seconds is equal to 443,509,087 years, 43 weeks, 5 days, 1 hour, 30 minutes.
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To count from 1 to 13,948,183,408,959,000 would take you about one billion, three hundred thirty million, five hundred twenty-seven thousand, two hundred sixty-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 13948183408959000 cubic inches would be around 20059.7 feet tall.
Recreational maths with 13948183408959000
- 13948183408959000 backwards is 00095980438184931
- 13948183408959000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13948183408959000's digits is 72
- More coming soon!
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The information we have on file for 13948183408959000 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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