106464478400
106,464,478,400 is an even composite number composed of six prime numbers multiplied together.
106464478400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 106464478400:
26 × 52 × 7 × 19 × 677 × 739
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 677 × 739)See below for interesting mathematical facts about the number 106464478400 from the Numbermatics database.
Names of 106464478400
- Cardinal: 106464478400 can be written as One hundred six billion, four hundred sixty-four million, four hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.064644784 × 1011
Factors of 106464478400
Divisors of 106464478400
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 64 70 76 80 95 100 112 133 140 152 160 175 190 200 224 266 280 304 320 350 380 400 448 475 532 560 608 665 677 700 739 760 800 950 1064 1120 1216 1330 1354 1400 1478 1520 1600 1900 2128 2240 2660 2708 2800 2956 3040 3325 3385 3695 3800 4256 4739 5173 5320 5416 5600 5912 6080 6650 6770 7390 7600 8512 9478 10346 10640 10832 11200 11824 12863 13300 13540 14041 14780 15200 16925 18475 18956 20692 21280 21664 23648 23695 25726 25865 26600 27080 28082 29560 30400 33850 36950 37912 41384 42560 43328 47296 47390 51452 51730 53200 54160 56164 59120 64315 67700 70205 73900 75824 82768 90041 94780 98287 102904 103460 106400 108320 112328 118240 118475 128630 129325 135400 140410 147800 151648 165536 180082 189560 196574 205808 206920 212800 216640 224656 236480 236950 257260 258650 270800 280820 295600 303296 321575 331072 351025 360164 379120 393148 411616 413840 449312 450205 473900 491435 500303 514520 517300 541600 561640 591200 643150 702050 720328 758240 786296 823232 827680 898624 900410 947800 982870 1000606 1029040 1034600 1083200 1123280 1182400 1286300 1404100 1440656 1516480 1572592 1655360 1800820 1895600 1965740 2001212 2058080 2069200 2246560 2251025 2457175 2501515 2572600 2808200 2881312 3145184 3502121 3601640 3791200 3931480 4002424 4116160 4138400 4493120 4502050 4914350 5003030 5145200 5616400 5762624 6290368 7004242 7203280 7582400 7862960 8004848 8276800 9004100 9505757 9828700 10006060 10290400 11232800 12507575 14008484 14406560 15725920 16009696 17510605 18008200 19011514 19657400 20012120 20580800 22465600 25015150 28016968 28813120 31451840 32019392 35021210 36016400 38023028 39314800 40024240 47528785 50030300 56033936 66540299 70042420 72032800 76046056 78629600 80048480 87553025 95057570 100060600 112067872 133080598 140084840 144065600 152092112 157259200 160096960 175106050 190115140 200121200 224135744 237643925 266161196 280169680 304184224 332701495 350212100 380230280 400242400 475287850 532322392 560339360 608368448 665402990 700424200 760460560 800484800 950575700 1064644784 1120678720 1330805980 1400848400 1520921120 1663507475 1901151400 2129289568 2661611960 2801696800 3041842240 3327014950 3802302800 4258579136 5323223920 5603393600 6654029900 7604605600 10646447840 13308059800 15209211200 21292895680 26616119600 53232239200 106464478400
- Sum of all divisors σ(n): 316043462400
- Sum of proper divisors (its aliquot sum) s(n): 209578984000
- 106464478400 is an abundant number, because the sum of its proper divisors (209578984000) is greater than itself. Its abundance is 103114505600
Bases of 106464478400
- Binary: 11000110010011100011100000100110000002
- Hexadecimal: 0x18C9C704C0
- Base-36: 1CWQ79A8
Squares and roots of 106464478400
- 106464478400 squared (1064644784002) is 11334685160984066560000
- 106464478400 cubed (1064644784003) is 1206741343492388677021282304000000
-
The
square root of 106464478400 is 326288.9492459099 -
The
cube root of 106464478400 is 4739.5260019649
Scales and comparisons
How big is 106464478400?- 106,464,478,400 seconds is equal to 3,385 years, 12 weeks, 3 days, 18 hours, 13 minutes, 20 seconds.
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To count from 1 to 106,464,478,400 would take you about six thousand, seven hundred seventy 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 106464478400 cubic inches would be around 395 feet tall.
Recreational maths with 106464478400
- 106464478400 backwards is 004874464601
- The number of decimal digits it has is: 12
- The sum of 106464478400's digits is 44
- More coming soon!
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