12814123839120

Names of 12814123839120

• Cardinal: 12814123839120 can be written as Twelve trillion, eight hundred fourteen billion, one hundred twenty-three million, eight hundred thirty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.281412383912 × 10¹³

Factors of 12814123839120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 150

Divisors of 12814123839120

• Number of divisors d(n): 1620
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 29 30 31 36 38 40 45 48 57 58 60 61 62 72 76 80 87 90 93 95 114 116 120 122 124 144 145 152 155 171 174 180 183 186 190 228 232 240 244 248 261 279 285 290 304 305 310 342 348 360 361 366 372 380 435 456 464 465 488 496 522 549 551 558 570 580 589 610 620 684 696 720 722 732 744 760 841 855 870 899 912 915 930 961 976 1044 1083 1098 1102 1116 1140 1159 1160 1178 1220 1240 1305 1368 1392 1395 1444 1464 1488 1520 1653 1682 1710 1740 1767 1769 1798 1805 1830 1860 1891 1922 2088 2166 2196 2204 2232 2280 2318 2320 2356 2440 2480 2523 2610 2697 2736 2745 2755 2790 2883 2888 2928 2945 3249 3306 3364 3420 3477 3480 3534 3538 3596 3610 3660 3720 3782 3844 4176 4205 4332 4392 4408 4464 4495 4560 4636 4712 4805 4880 4959 5046 5220 5301 5307 5394 5415 5490 5510 5580 5673 5766 5776 5795 5890 6498 6612 6728 6840 6954 6960 7068 7076 7192 7220 7320 7440 7564 7569 7688 8091 8265 8410 8649 8664 8784 8816 8835 8845 8990 9272 9424 9455 9610 9918 10092 10431 10440 10469 10602 10614 10788 10830 10980 11020 11160 11191 11346 11532 11590 11780 12615 12996 13224 13456 13485 13680 13908 14136 14152 14384 14415 14440 14640 15128 15138 15376 15921 15979 16182 16245 16530 16820 17019 17081 17298 17328 17385 17670 17690 17980 18259 18544 18910 19220 19836 20184 20862 20880 20938 21204 21228 21576 21660 21960 22021 22040 22320 22382 22692 23064 23180 23560 24795 25230 25992 26071 26448 26505 26535 26970 27816 27869 28272 28304 28365 28830 28880 30256 30276 31407 31842 31958 32364 32490 33060 33573 33611 33640 34038 34162 34596 34770 35340 35380 35929 35960 36518 37820 37845 38440 39672 40368 40455 41724 41876 42408 42456 43152 43245 43320 43920 44042 44080 44764 45384 46128 46360 47120 47937 49590 50460 51243 51301 51984 52142 52155 52345 53010 53070 53940 54777 54839 55632 55738 55955 56730 57660 58621 60552 62814 63684 63916 64728 64980 66063 66120 67146 67222 67280 68076 68324 69192 69540 70680 70760 71858 71920 73036 75640 75690 76880 78213 79344 79605 79895 80910 83448 83607 83752 84816 84912 85095 85405 86490 86640 88084 89528 90768 91295 92720 94221 95874 99180 100719 100833 100920 102486 102602 104284 104310 104690 106020 106140 107787 107880 109554 109678 110105 111476 111910 113460 115320 117242 121104 125628 127368 127832 129456 129960 130355 132126 132240 134292 134444 136152 136648 138384 139080 139345 141360 141520 143716 143811 146072 151280 151380 153729 153903 156426 157035 159210 159790 161820 164331 164517 166896 167214 167504 167865 168055 170190 170810 172980 175863 176168 179056 179645 182590 188442 191748 198189 198360 201438 201666 201840 204972 205204 208568 208620 209380 212040 212280 215574 215760 219108 219356 220210 222952 223820 226920 230640 234484 234639 239685 250821 251256 254736 255664 256215 256505 259920 260710 264252 268584 268888 272304 273296 273885 274195 278160 278690 287432 287622 292144 293105 302499 302760 303601 307458 307806 312852 314070 318420 319580 323361 323640 324539 328662 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740786440 750197520 752930480 761838516 775204104 788804176 791875160 801935280 804856720 833384745 846487240 847046790 875281683 887404698 888943728 890859555 905463810 906488670 921349140 936704959 950250192 952298145 969005130 986005220 1015784688 1087786404 1105618968 1111179660 1129395720 1145038320 1148218982 1162806156 1167042244 1183206264 1187812740 1207285080 1208651560 1224006480 1227406498 1228465520 1269730860 1292006840 1333415592 1355274864 1359733005 1382023710 1425375288 1448742096 1450381872 1453507695 1458802805 1479007830 1481572880 1523677032 1550408208 1583750320 1666769490 1692974480 1694093580 1722328473 1750563366 1774809396 1781719110 1810927620 1812977340 1841109747 1842698280 1873409918 1904596290 1938010260 1972010440 2175572808 2211237936 2218511745 2222359320 2258791440 2296437964 2325612312 2334084488 2366412528 2375625480 2414570160 2417303120 2454812996 2539461720 2584013680 2625845049 2666831184 2719466010 2764047420 2810114877 2850750576 2870547455 2907015390 2917605610 2958015660 3047354064 3068516245 3333538980 3388187160 3444656946 3501126732 3549618792 3563438220 3621855240 3625954680 3682219494 3685396560 3746819836 3809192580 3876020520 3944020880 4351145616 4376408415 4437023490 4444718640 4592875928 4651224624 4668168976 4683524795 4751250960 4909625992 5078923440 5166985419 5251690098 5438932020 5523329241 5528094840 5620229754 5741094910 5814030780 5835211220 5916031320 6137032490 6667077960 6776374320 6889313892 7002253464 7099237584 7126876440 7243710480 7251909360 7364438988 7493639672 7618385160 7752041040 8430344631 8611642365 8752816830 8874046980 9185751856 9205548735 9367049590 9819251984 10333970838 10503380196 10877864040 11046658482 11056189680 11240459508 11482189820 11628061560 11670422440 11832062640 12274064980 13129225245 13334155920 13778627784 14004506928 14050574385 14253752880 14728877976 14987279344 15236770320 16860689262 17223284730 17505633660 17748093960 17797394221 18411097470 18734099180 20667941676 21006760392 21755728080 22093316964 22480919016 22964379640 23256123120 23340844880 24548129960 25834927095 26258450490 27557255568 27616646205 28101148770 29457755952 33721378524 34446569460 35011267320 35496187920 35594788442 36822194940 37468198360 41335883352 42013520784 42151723155 44186633928 44961838032 45928759280 49096259920 51669854190 52516900980 53392182663 55233292410 56202297540 67442757048 68893138920 70022534640 71189576884 73644389880 74936396720 82671766704 84303446310 88373267856 88986971105 103339708380 105033801960 106784365326 110466584820 112404595080 134885514096 137786277840 142379153768 147288779760 160176547989 168606892620 177973942210 206679416760 210067603920 213568730652 220933169640 224809190160 266960913315 284758307536 320353095978 337213785240 355947884420 413358833520 427137461304 441866339280 533921826630 640706191956 674427570480 711895768840 800882739945 854274922608 1067843653260 1281412383912 1423791537680 1601765479890 2135687306520 2562824767824 3203530959780 4271374613040 6407061919560 12814123839120
• Sum of all divisors σ(n): 49401526094388
• Sum of proper divisors (its aliquot sum) s(n): 36587402255268
• 12814123839120 is an abundant number, because the sum of its proper divisors (36587402255268) is greater than itself. Its abundance is 23773278416148

Bases of 12814123839120

• Binary: 10111010011110000101010011001010111010010000₂
• Hexadecimal: 0xBA7854CAE90
• Base-36: 4JIQ6HDW0

Squares and roots of 12814123839120

• 12814123839120 squared (12814123839120²) is 164201769764303487642374400
• 12814123839120 cubed (12814123839120³) is 2104101812362454944600708124120406528000
• The square root of 12814123839120 is 3579682.0863199569
• The cube root of 12814123839120 is 23400.7425672747

Scales and comparisons

• 12,814,123,839,120 seconds is equal to 407,449 years, 26 weeks, 12 hours, 12 minutes.
• To count from 1 to 12,814,123,839,120 would take you about one million, eighteen thousand, six hundred twenty-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 12814123839120 cubic inches would be around 1950.1 feet tall.

Recreational maths with 12814123839120

• 12814123839120 backwards is 02193832141821
• 12814123839120 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12814123839120's digits is 45
• More coming soon!