13946340438441984
13,946,340,438,441,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 13946340438441984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 828 divisors.
13946340438441984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred twenty-eight divisors.
Prime factorization of 13946340438441984:
222 × 3 × 192 × 532 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 19 × 53 × 53 × 1093)See below for interesting mathematical facts about the number 13946340438441984 from the Numbermatics database.
Names of 13946340438441984
- Cardinal: 13946340438441984 can be written as Thirteen quadrillion, nine hundred forty-six trillion, three hundred forty billion, four hundred thirty-eight million, four hundred forty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3946340438441984 × 1016
Factors of 13946340438441984
Divisors of 13946340438441984
- Number of divisors d(n): 828
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 318 361 384 424 456 512 608 636 722 768 848 912 1007 1024 1083 1093 1216 1272 1444 1536 1696 1824 2014 2048 2166 2186 2432 2544 2809 2888 3021 3072 3279 3392 3648 4028 4096 4332 4372 4864 5088 5618 5776 6042 6144 6558 6784 7296 8056 8192 8427 8664 8744 9728 10176 11236 11552 12084 12288 13116 13568 14592 16112 16384 16854 17328 17488 19133 19456 20352 20767 22472 23104 24168 24576 26232 27136 29184 32224 32768 33708 34656 34976 38266 38912 40704 41534 44944 46208 48336 49152 52464 53371 54272 57399 57929 58368 62301 64448 65536 67416 69312 69952 76532 77824 81408 83068 89888 92416 96672 98304 104928 106742 108544 114798 115858 116736 124602 128896 131072 134832 138624 139904 153064 155648 160113 162816 166136 173787 179776 184832 193344 196608 209856 213484 217088 229596 231716 233472 249204 257792 262144 269664 277248 279808 306128 311296 320226 325632 332272 347574 359552 369664 386688 393216 394573 419712 426968 434176 459192 463432 466944 498408 515584 524288 539328 554496 559616 612256 622592 640452 651264 664544 695148 719104 739328 773376 786432 789146 839424 853936 868352 918384 926864 933888 996816 1014049 1031168 1048576 1078656 1100651 1108992 1119232 1183719 1224512 1245184 1280904 1302528 1329088 1390296 1438208 1478656 1546752 1572864 1578292 1678848 1707872 1736704 1836768 1853728 1867776 1993632 2028098 2062336 2097152 2157312 2201302 2217984 2238464 2367438 2449024 2490368 2561808 2605056 2658176 2780592 2876416 2957312 3042147 3070237 3093504 3145728 3156584 3301953 3357696 3415744 3473408 3673536 3707456 3735552 3987264 4056196 4124672 4194304 4314624 4402604 4435968 4476928 4734876 4898048 4980736 5123616 5210112 5316352 5561184 5752832 5914624 6084294 6140474 6187008 6291456 6313168 6603906 6715392 6831488 6946816 7347072 7414912 7471104 7974528 8112392 8249344 8629248 8805208 8871936 8953856 9210711 9469752 9796096 9961472 10247232 10420224 10632704 11122368 11505664 11829248 12168588 12280948 12374016 12582912 12626336 13207812 13430784 13662976 13893632 14694144 14829824 14942208 15949056 16224784 16498688 17258496 17610416 17743872 17907712 18421422 18939504 19592192 19922944 20494464 20840448 20912369 21265408 22244736 23011328 23658496 24337176 24561896 24748032 25252672 26415624 26861568 27325952 27787264 29388288 29659648 29884416 31898112 32449568 32997376 34516992 35220832 35487744 35815424 36842844 37879008 39184384 39845888 40988928 41680896 41824738 42530816 44489472 46022656 47316992 48674352 49123792 49496064 50505344 52831248 53723136 54651904 55574528 58334503 58776576 59319296 59768832 62737107 63796224 64899136 65994752 69033984 70441664 70975488 71630848 73685688 75758016 78368768 79691776 81977856 83361792 83649476 85061632 88978944 92045312 94633984 97348704 98247584 98992128 101010688 105662496 107446272 109303808 111149056 116669006 117553152 118638592 119537664 125474214 127592448 129798272 131989504 138067968 140883328 141950976 143261696 147371376 151516032 156737536 163955712 166723584 167298952 170123264 175003509 177957888 184090624 189267968 194697408 196495168 197984256 202021376 211324992 214892544 218607616 222298112 233338012 235106304 237277184 239075328 250948428 255184896 259596544 263979008 276135936 281766656 283901952 286523392 294742752 303032064 313475072 327911424 333447168 334597904 340246528 350007018 355915776 368181248 378535936 389394816 392990336 395968512 404042752 422649984 429785088 437215232 466676024 470212608 474554368 501896856 510369792 519193088 527958016 552271872 563533312 567803904 573046784 589485504 606064128 626950144 655822848 666894336 669195808 680493056 700014036 711831552 736362496 757071872 778789632 785980672 791937024 808085504 845299968 859570176 874430464 933352048 940425216 949108736 1003793712 1020739584 1038386176 1055916032 1104543744 1108355557 1127066624 1135607808 1146093568 1178971008 1212128256 1253900288 1311645696 1338391616 1360986112 1400028072 1423663104 1472724992 1514143744 1557579264 1571961344 1583874048 1616171008 1690599936 1719140352 1748860928 1866704096 1880850432 1898217472 2007587424 2041479168 2076772352 2111832064 2209087488 2216711114 2254133248 2271215616 2292187136 2357942016 2424256512 2507800576 2623291392 2676783232 2721972224 2800056144 2847326208 2945449984 3115158528 3143922688 3167748096 3232342016 3325066671 3381199872 3438280704 3497721856 3733408192 3761700864 3796434944 4015174848 4082958336 4153544704 4223664128 4418174976 4433422228 4508266496 4542431232 4584374272 4715884032 4848513024 5015601152 5246582784 5353566464 5443944448 5600112288 5694652416 5890899968 6230317056 6287845376 6335496192 6464684032 6650133342 6762399744 6876561408 6995443712 7466816384 7523401728 7592869888 8030349696 8165916672 8307089408 8836349952 8866844456 9016532992 9431768064 9697026048 10031202304 10493165568 10707132928 10887888896 11200224576 11389304832 11781799936 12460634112 12575690752 12670992384 12929368064 13300266684 13524799488 13753122816 13990887424 14933632768 15046803456 15185739776 16060699392 16331833344 16614178816 17672699904 17733688912 18033065984 18863536128 19394052096 20062404608 20986331136 21414265856 21775777792 22400449152 22778609664 24921268224 25151381504 25858736128 26600533368 27049598976 27981774848 29867265536 30093606912 30371479552 32121398784 32663666688 33228357632 35345399808 35467377824 36066131968 37727072256 38788104192 40124809216 41972662272 42828531712 43551555584 44800898304 45557219328 49842536448 50302763008 51717472256 53201066736 54099197952 55963549696 59734531072 60187213824 60742959104 64242797568 65327333376 66456715264 70934755648 72132263936 75454144512 77576208384 80249618432 83945324544 85657063424 87103111168 89601796608 91114438656 99685072896 100605526016 103434944512 106402133472 108198395904 111927099392 119469062144 120374427648 121485918208 128485595136 130654666752 132913430528 141869511296 144264527872 150908289024 155152416768 167890649088 171314126848 179203593216 182228877312 199370145792 201211052032 206869889024 212804266944 216396791808 223854198784 238938124288 240748855296 242971836416 256971190272 261309333504 265826861056 283739022592 288529055744 301816578048 310304833536 335781298176 342628253696 358407186432 364457754624 398740291584 402422104064 413739778048 425608533888 432793583616 477876248576 513942380544 531653722112 567478045184 577058111488 603633156096 620609667072 671562596352 685256507392 716814372864 728915509248 797480583168 804844208128 827479556096 851217067776 865587167232 955752497152 1027884761088 1063307444224 1134956090368 1154116222976 1207266312192 1241219334144 1370513014784 1433628745728 1594961166336 1609688416256 1654959112192 1702434135552 1731174334464 1911504994304 2055769522176 2126614888448 2269912180736 2308232445952 2414532624384 2482438668288 2741026029568 2867257491456 3189922332672 3219376832512 3404868271104 3462348668928 3823009988608 4111539044352 4253229776896 4539824361472 4616464891904 4829065248768 4964877336576 5482052059136 5734514982912 6379844665344 6438753665024 6809736542208 6924697337856 7646019977216 8223078088704 9079648722944 9658130497536 10964104118272 11469029965824 12759689330688 12877507330048 13619473084416 13849394675712 15292039954432 16446156177408 18159297445888 19316260995072 21928208236544 22938059931648 27238946168832 30584079908864 32892312354816 36318594891776 38632521990144 43856416473088 45876119863296 54477892337664 61168159817728 65784624709632 72637189783552 87712832946176 91752239726592 108955784675328 122336319635456 131569249419264 145274379567104 183504479453184 217911569350656 244672639270912 263138498838528 290548759134208 367008958906368 435823138701312 581097518268416 734017917812736 871646277402624 1162195036536832 1743292554805248 2324390073073664 3486585109610496 4648780146147328 6973170219220992 13946340438441984
- Sum of all divisors σ(n): 40041790173898296
- Sum of proper divisors (its aliquot sum) s(n): 26095449735456312
- 13946340438441984 is an abundant number, because the sum of its proper divisors (26095449735456312) is greater than itself. Its abundance is 12149109297014328
Bases of 13946340438441984
- Binary: 1100011000110000011111011010111100000000000000000000002
- Hexadecimal: 0x318C1F6BC00000
- Base-36: 3TBKCCL7ITC
Squares and roots of 13946340438441984
- 13946340438441984 squared (139463404384419842) is 194500411624922150508493333856256
- 13946340438441984 cubed (139463404384419843) is 2712568955938263146170152436183283449751251451904
-
The
square root of 13946340438441984 is 118094624.9345921077 -
The
cube root of 13946340438441984 is 240705.9103236287
Scales and comparisons
How big is 13946340438441984?- 13,946,340,438,441,984 seconds is equal to 443,450,487 years, 4 weeks, 18 hours, 46 minutes, 24 seconds.
-
To count from 1 to 13,946,340,438,441,984 would take you about one billion, three hundred thirty million, three hundred fifty-one thousand, four hundred sixty-one 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 13946340438441984 cubic inches would be around 20058.8 feet tall.
Recreational maths with 13946340438441984
- 13946340438441984 backwards is 48914483404364931
- The number of decimal digits it has is: 17
- The sum of 13946340438441984's digits is 75
- More coming soon!
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The information we have on file for 13946340438441984 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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