12139487305724800

Names of 12139487305724800

• Cardinal: 12139487305724800 can be written as Twelve quadrillion, one hundred thirty-nine trillion, four hundred eighty-seven billion, three hundred five million, seven hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.21394873057248 × 10¹⁶

Factors of 12139487305724800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 308

Divisors of 12139487305724800

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 128 140 155 160 175 200 217 224 248 263 280 310 320 350 400 434 448 496 526 560 620 640 700 775 800 868 896 961 992 1052 1085 1120 1240 1315 1400 1550 1600 1736 1841 1922 1984 2104 2170 2240 2480 2630 2800 3100 3200 3472 3682 3844 3968 4208 4340 4480 4805 4960 5260 5425 5600 6200 6575 6727 6944 7364 7688 8153 8416 8680 9205 9610 9920 10520 10850 11200 12400 13150 13454 13888 14728 15376 16306 16832 17360 18410 19220 19840 21040 21700 22400 24025 24800 26300 26908 27776 29456 29791 30752 32612 33635 33664 34720 36820 38440 40765 42080 43400 46025 48050 49600 52600 53816 57071 58912 59582 61504 65224 67270 69169 69440 73640 76880 81530 84160 86800 92050 96100 99200 105200 107632 114142 117824 119164 123008 130448 134540 138338 138880 147280 148955 153760 163060 168175 168320 173600 184100 192200 203825 208537 210400 215264 228284 235648 238328 252743 260896 269080 276676 285355 294560 297910 307520 326120 336350 345845 347200 368200 384400 407650 417074 420800 430528 456568 476656 484183 505486 521792 538160 553352 570710 589120 595820 615040 652240 672700 691690 694400 736400 744775 768800 815300 834148 841600 861056 913136 953312 968366 1010972 1042685 1043584 1076320 1106704 1141420 1178240 1191640 1263715 1304480 1345400 1383380 1426775 1472800 1489550 1537600 1630600 1668296 1729225 1769201 1826272 1906624 1936732 2021944 2085370 2144239 2152640 2213408 2282840 2383280 2420915 2527430 2608960 2690800 2766760 2853550 2945600 2979100 3075200 3261200 3336592 3458450 3538402 3652544 3813248 3873464 4043888 4170740 4288478 4305280 4426816 4565680 4766560 4841830 5054860 5213425 5217920 5381600 5533520 5707100 5891200 5958200 6318575 6522400 6673184 6916900 7076804 7305088 7746928 7835033 8087776 8341480 8576956 8846005 8853632 9131360 9533120 9683660 10109720 10426850 10721195 10763200 11067040 11414200 11916400 12104575 12637150 13044800 13346368 13833800 14153608 15009673 15493856 15670066 16175552 16682960 17153912 17692010 18191447 18262720 19066240 19367320 20219440 20853700 21442390 21526400 22134080 22828400 23832800 24209150 25274300 26089600 26692736 27667600 28307216 30019346 30987712 31340132 32351104 33365920 34307824 35384020 36382894 36525440 38734640 39175165 40438880 41707400 42884780 44230025 44268160 45656800 47665600 48418300 50548600 53605975 54845231 55335200 56614432 60038692 61975424 62680264 66471409 66731840 68615648 70768040 72765788 75048365 77469280 78350330 80877760 83414800 85769560 88460050 90957235 91313600 95331200 96836600 101097200 107211950 109690462 110670400 113228864 120077384 125360528 127340129 132942818 133463680 137231296 141536080 145531576 150096730 154938560 156700660 161755520 166829600 171539120 176920100 181914470 182627200 193673200 195875825 202194400 214423900 219380924 221340800 226457728 240154768 250721056 254680258 265885636 274226155 274462592 283072160 291063152 300193460 309877120 313401320 332357045 333659200 343078240 353840200 363828940 375241825 387346400 391751650 404388800 428847800 438761848 454786175 465299863 480309536 501442112 509360516 531771272 548452310 563934857 566144320 582126304 600386920 626802640 636700645 664714090 667318400 686156480 707680400 727657880 750483650 774692800 783503300 808777600 857695600 877523696 909572350 930599726 960619072 1002884224 1018721032 1063542544 1096904620 1127869714 1132288640 1164252608 1200773840 1253605280 1273401290 1329428180 1371130775 1372312960 1415360800 1455315760 1500967300 1549385600 1567006600 1661785225 1715391200 1755047392 1819144700 1861199452 1921238144 2037442064 2060613679 2127085088 2193809240 2255739428 2326499315 2328505216 2401547680 2507210560 2546802580 2658856360 2742261550 2819674285 2830721600 2910631520 3001934600 3134013200 3183503225 3323570450 3430782400 3510094784 3638289400 3722398904 3947543999 4074884128 4121227358 4254170176 4387618480 4511478856 4652998630 4803095360 5014421120 5093605160 5317712720 5484523100 5639348570 5661443200 5821263040 6003869200 6268026400 6367006450 6647140900 6861564800 7020189568 7276578800 7444797808 7895087998 8149768256 8242454716 8508340352 8775236960 9022957712 9305997260 9606190720 10187210320 10303068395 10635425440 10969046200 11278697140 11632496575 11642526080 12007738400 12536052800 12734012900 13294281800 14098371425 14424295753 14553157600 14889595616 15790175996 16299536512 16484909432 17481980567 17550473920 18045915424 18611994520 19737719995 20374420640 20606136790 21270850880 21938092400 22557394280 23264993150 24015476800 25072105600 25468025800 26588563600 28196742850 28848591506 29106315200 29779191232 31580351992 32969818864 34963961134 35100947840 36091830848 37223989040 39475439990 40748841280 41212273580 42541701760 43876184800 45114788560 46529986300 48030953600 50936051600 51515341975 53177127200 56393485700 57697183012 58212630400 59558382464 63160703984 65939637728 69927922268 72121478765 72183661696 74447978080 78950879980 81497682560 82424547160 87409902835 87752369600 90229577120 93059972600 98688599975 101872103200 103030683950 106354254400 112786971400 115394366024 122373863969 126321407968 131879275456 139855844536 144242957530 148895956160 157901759960 164849094320 174819805670 175504739200 180459154240 186119945200 197377199950 203744206400 206061367900 212708508800 225573942800 230788732048 244747727938 252642815936 263758550912 279711689072 288485915060 297791912320 315803519920 329698188640 349639611340 360607393825 360918308480 372239890400 394754399900 407488412800 412122735800 437049514175 451147885600 461577464096 489495455876 505285631872 541941397577 559423378144 576971830120 611869319845 631607039840 659396377280 699279222680 721214787650 744479780800 789508799800 824245471600 874099028350 902295771200 923154928192 978990911752 1083882795154 1118846756288 1153943660240 1223738639690 1263214079680 1318792754560 1398558445360 1442429575300 1488959561600 1579017599600 1648490943200 1748198056700 1804591542400 1846309856384 1957981823504 2167765590308 2237693512576 2307887320480 2447477279380 2526428159360 2709706987885 2797116890720 2884859150600 3059346599225 3158035199200 3296981886400 3496396113400 3793589783039 3915963647008 4335531180616 4615774640960 4894954558760 5419413975770 5594233781440 5769718301200 6118693198450 6316070398400 6593963772800 6992792226800 7587179566078 7831927294016 8671062361232 9231549281920 9789909117520 10838827951540 11188467562880 11539436602400 12237386396900 12632140796800 13548534939425 13985584453600 15174359132156 15663854588032 17342124722464 18967948915195 19579818235040 21677655903080 23078873204800 24474772793800 27097069878850 27971168907200 30348718264312 34684249444928 37935897830390 39159636470080 43355311806160 46157746409600 48949545587600 54194139757700 55942337814400 60697436528624 69368498889856 75871795660780 78319272940160 86710623612320 94839744575975 97899091175200 108388279515400 121394873057248 151743591321560 173421247224640 189679489151950 195798182350400 216776559030800 242789746114496 303487182643120 346842494449280 379358978303900 391596364700800 433553118061600 485579492228992 606974365286240 758717956607800 867106236123200 1213948730572480 1517435913215600 1734212472246400 2427897461144960 3034871826431200 6069743652862400 12139487305724800
• Sum of all divisors σ(n): 35549918888140800
• Sum of proper divisors (its aliquot sum) s(n): 23410431582416000
• 12139487305724800 is an abundant number, because the sum of its proper divisors (23410431582416000) is greater than itself. Its abundance is 11270944276691200

Bases of 12139487305724800

• Binary: 101011001000001100110010100100100111001111001110000000₂
• Hexadecimal: 0x2B20CCA49CF380
• Base-36: 3BJ37H9JYPS

Squares and roots of 12139487305724800

• 12139487305724800 squared (12139487305724800²) is 147367152045853563822853335040000
• 12139487305724800 cubed (12139487305724800³) is 1788961671541455827719369992653795764436992000000
• The square root of 12139487305724800 is 110179341.5560503339
• The cube root of 12139487305724800 is 229826.5062501001

Scales and comparisons

• 12,139,487,305,724,800 seconds is equal to 385,998,146 years, 21 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 12,139,487,305,724,800 would take you about one billion, one hundred fifty-seven million, nine hundred ninety-four thousand, four hundred thirty-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 12139487305724800 cubic inches would be around 19152.2 feet tall.

Recreational maths with 12139487305724800

• 12139487305724800 backwards is 00842750378493121
• 12139487305724800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12139487305724800's digits is 64
• More coming soon!