12746406400
12,746,406,400 is an even composite number composed of six prime numbers multiplied together.
12746406400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 12746406400:
29 × 52 × 7 × 13 × 31 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 31 × 353)See below for interesting mathematical facts about the number 12746406400 from the Numbermatics database.
Names of 12746406400
- Cardinal: 12746406400 can be written as Twelve billion, seven hundred forty-six million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.27464064 × 1010
Factors of 12746406400
Divisors of 12746406400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 50 52 56 62 64 65 70 80 91 100 104 112 124 128 130 140 155 160 175 182 200 208 217 224 248 256 260 280 310 320 325 350 353 364 400 403 416 434 448 455 496 512 520 560 620 640 650 700 706 728 775 800 806 832 868 896 910 992 1040 1085 1120 1240 1280 1300 1400 1412 1456 1550 1600 1612 1664 1736 1765 1792 1820 1984 2015 2080 2170 2240 2275 2471 2480 2560 2600 2800 2821 2824 2912 3100 3200 3224 3328 3472 3530 3584 3640 3968 4030 4160 4340 4480 4550 4589 4942 4960 5200 5425 5600 5642 5648 5824 6200 6400 6448 6656 6944 7060 7280 7936 8060 8320 8680 8825 8960 9100 9178 9884 9920 10075 10400 10850 10943 11200 11284 11296 11648 12355 12400 12800 12896 13888 14105 14120 14560 15872 16120 16640 17360 17650 17920 18200 18356 19768 19840 20150 20800 21700 21886 22400 22568 22592 22945 23296 24710 24800 25792 27776 28210 28240 29120 32123 32240 33280 34720 35300 36400 36712 39536 39680 40300 41600 43400 43772 44800 45136 45184 45890 46592 49420 49600 51584 54715 55552 56420 56480 58240 61775 64246 64480 69440 70525 70600 72800 73424 76601 79072 79360 80600 83200 86800 87544 89600 90272 90368 91780 98840 99200 103168 109430 111104 112840 112960 114725 116480 123550 128492 128960 138880 141050 141200 142259 145600 146848 153202 158144 160615 161200 166400 173600 175088 180544 180736 183560 197680 198400 206336 218860 225680 225920 229450 232960 247100 256984 257920 273575 277760 282100 282400 284518 291200 293696 306404 316288 321230 322400 347200 350176 361088 367120 383005 395360 396800 437720 451360 451840 458900 494200 513968 515840 547150 555520 564200 564800 569036 582400 587392 612808 632576 642460 644800 694400 700352 711295 722176 734240 766010 790720 803075 875440 902720 903680 917800 988400 995813 1027936 1031680 1094300 1128400 1129600 1138072 1164800 1174784 1225616 1265152 1284920 1289600 1388800 1400704 1422590 1444352 1468480 1532020 1581440 1606150 1750880 1805440 1835600 1915025 1976800 1991626 2055872 2188600 2256800 2259200 2276144 2349568 2451232 2569840 2579200 2777600 2801408 2845180 2936960 3064040 3162880 3212300 3501760 3556475 3610880 3671200 3830050 3953600 3983252 4111744 4377200 4513600 4518400 4552288 4902464 4979065 5139680 5158400 5602816 5690360 5873920 6128080 6325760 6424600 7003520 7112950 7221760 7342400 7660100 7907200 7966504 8223488 8754400 9027200 9104576 9804928 9958130 10279360 11380720 11747840 12256160 12849200 14007040 14225900 14684800 15320200 15814400 15933008 16446976 17508800 18054400 18209152 19609856 19916260 20558720 22761440 24512320 24895325 25698400 28014080 28451800 29369600 30640400 31628800 31866016 35017600 36108800 36418304 39219712 39832520 41117440 45522880 49024640 49790650 51396800 56903600 58739200 61280800 63732032 70035200 72836608 79665040 82234880 91045760 98049280 99581300 102793600 113807200 122561600 127464064 140070400 159330080 182091520 196098560 199162600 205587200 227614400 245123200 254928128 318660160 364183040 398325200 411174400 455228800 490246400 509856256 637320320 796650400 910457600 980492800 1274640640 1593300800 1820915200 2549281280 3186601600 6373203200 12746406400
- Sum of all divisors σ(n): 40235424768
- Sum of proper divisors (its aliquot sum) s(n): 27489018368
- 12746406400 is an abundant number, because the sum of its proper divisors (27489018368) is greater than itself. Its abundance is 14742611968
Bases of 12746406400
- Binary: 10111101111011111010111010000000002
- Hexadecimal: 0x2F7BEBA00
- Base-36: 5USVQ4G
Squares and roots of 12746406400
- 12746406400 squared (127464064002) is 162470876113960960000
- 12746406400 cubed (127464064003) is 2070919815112599109894144000000
-
The
square root of 12746406400 is 112899.9840566863 -
The
cube root of 12746406400 is 2335.9448601483
Scales and comparisons
How big is 12746406400?- 12,746,406,400 seconds is equal to 405 years, 15 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
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To count from 1 to 12,746,406,400 would take you about eight hundred ten 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 12746406400 cubic inches would be around 194.7 feet tall.
Recreational maths with 12746406400
- 12746406400 backwards is 00460464721
- The number of decimal digits it has is: 11
- The sum of 12746406400's digits is 34
- More coming soon!
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