13166805968400
13,166,805,968,400 is an even composite number composed of seven prime numbers multiplied together.
13166805968400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13166805968400:
24 × 3 × 52 × 7 × 31 × 113 × 447467
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 31 × 113 × 447467)See below for interesting mathematical facts about the number 13166805968400 from the Numbermatics database.
Names of 13166805968400
- Cardinal: 13166805968400 can be written as Thirteen trillion, one hundred sixty-six billion, eight hundred five million, nine hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.31668059684 × 1013
Factors of 13166805968400
Divisors of 13166805968400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 35 40 42 48 50 56 60 62 70 75 80 84 93 100 105 112 113 120 124 140 150 155 168 175 186 200 210 217 226 240 248 280 300 310 336 339 350 372 400 420 434 452 465 496 525 560 565 600 620 651 678 700 744 775 791 840 868 904 930 1050 1085 1130 1200 1240 1302 1356 1400 1488 1550 1582 1680 1695 1736 1808 1860 2100 2170 2260 2325 2373 2480 2604 2712 2800 2825 3100 3164 3255 3390 3472 3503 3720 3955 4200 4340 4520 4650 4746 5208 5424 5425 5650 6200 6328 6510 6780 7006 7440 7910 8400 8475 8680 9040 9300 9492 10416 10509 10850 11300 11865 12400 12656 13020 13560 14012 15820 16275 16950 17360 17515 18600 18984 19775 21018 21700 22600 23730 24521 26040 27120 28024 31640 32550 33900 35030 37200 37968 39550 42036 43400 45200 47460 49042 52080 52545 56048 59325 63280 65100 67800 70060 73563 79100 84072 86800 87575 94920 98084 105090 118650 122605 130200 135600 140120 147126 158200 168144 175150 189840 196168 210180 237300 245210 260400 262725 280240 294252 316400 350300 367815 392336 420360 447467 474600 490420 525450 588504 613025 700600 735630 840720 894934 949200 980840 1050900 1177008 1226050 1342401 1401200 1471260 1789868 1839075 1961680 2101800 2237335 2452100 2684802 2942520 3132269 3579736 3678150 4203600 4474670 4904200 5369604 5885040 6264538 6712005 7159472 7356300 8949340 9396807 9808400 10739208 11186675 12529076 13424010 13871477 14712600 15661345 17898680 18793614 21478416 22373350 25058152 26848020 27742954 29425200 31322690 33560025 35797360 37587228 41614431 44746700 46984035 50116304 50563771 53696040 55485908 62645380 67120050 69357385 75174456 78306725 83228862 89493400 93968070 97100339 101127542 107392080 110971816 125290760 134240100 138714770 150348912 151691313 156613450 166457724 178986800 187936140 194200678 202255084 208072155 221943632 234920175 250581520 252818855 268480200 277429540 291301017 303382626 313226900 332915448 346786925 353946397 375872280 388401356 404510168 416144310 469840350 485501695 505637710 536960400 554859080 582602034 606765252 626453800 665830896 693573850 707892794 751744560 758456565 776802712 809020336 832288620 939680700 971003390 1011275420 1040360775 1061839191 1109718160 1165204068 1213530504 1252907600 1264094275 1387147700 1415785588 1456505085 1516913130 1553605424 1567476901 1664577240 1769731985 1879361400 1942006780 2022550840 2080721550 2123678382 2330408136 2427061008 2427508475 2528188550 2774295400 2831571176 2913010170 3033826260 3134953802 3329154480 3539463970 3758722800 3792282825 3884013560 4045101680 4161443100 4247356764 4660816272 4702430703 4855016950 5056377100 5309195955 5548590800 5663142352 5826020340 6067652520 6269907604 7078927940 7282525425 7584565650 7768027120 7837384505 8322886200 8494713528 8848659925 9404861406 9710033900 10112754200 10618391910 10972338307 11652040680 12135305040 12539815208 14157855880 14565050850 15169131300 15674769010 16645772400 16989427056 17697319850 18809722812 19420067800 20225508400 21236783820 21944676614 23304081360 23512153515 25079630416 26545979775 28315711760 29130101700 30338262600 31349538020 32917014921 35394639700 37619445624 38840135600 39186922525 42473567640 43889353228 47024307030 53091959550 54861691535 58260203400 60676525200 62699076040 65834029842 70789279400 75238891248 78373845050 84947135280 87778706456 94048614060 106183919100 109723383070 116520406800 117560767575 125398152080 131668059684 141578558800 156747690100 164585074605 175557412912 188097228120 212367838200 219446766140 235121535150 263336119368 274308457675 313495380200 329170149210 376194456240 424735676400 438893532280 470243070300 526672238736 548616915350 626990760400 658340298420 822925373025 877787064560 940486140600 1097233830700 1316680596840 1645850746050 1880972281200 2194467661400 2633361193680 3291701492100 4388935322800 6583402984200 13166805968400
- Sum of all divisors σ(n): 50198435094528
- Sum of proper divisors (its aliquot sum) s(n): 37031629126128
- 13166805968400 is an abundant number, because the sum of its proper divisors (37031629126128) is greater than itself. Its abundance is 23864823157728
Bases of 13166805968400
- Binary: 101111111001101000101100101011100110000100002
- Hexadecimal: 0xBF9A2CAE610
- Base-36: 4O0QWBEHC
Squares and roots of 13166805968400
- 13166805968400 squared (131668059684002) is 173364779409493861798560000
- 13166805968400 cubed (131668059684003) is 2282660412239273207152444566525504000000
-
The
square root of 13166805968400 is 3628609.3711503309 -
The
cube root of 13166805968400 is 23613.4881531185
Scales and comparisons
How big is 13166805968400?- 13,166,805,968,400 seconds is equal to 418,663 years, 36 weeks, 3 days, 14 hours, 20 minutes.
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To count from 1 to 13,166,805,968,400 would take you about one million, forty-six thousand, six hundred fifty-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 13166805968400 cubic inches would be around 1967.8 feet tall.
Recreational maths with 13166805968400
- 13166805968400 backwards is 00486950866131
- The number of decimal digits it has is: 14
- The sum of 13166805968400's digits is 57
- More coming soon!
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