2138104800
2,138,104,800 is an even composite number composed of six prime numbers multiplied together.
2138104800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 2138104800:
25 × 32 × 52 × 13 × 53 × 431
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 53 × 431)See below for interesting mathematical facts about the number 2138104800 from the Numbermatics database.
Names of 2138104800
- Cardinal: 2138104800 can be written as Two billion, one hundred thirty-eight million, one hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 2.1381048 × 109
Factors of 2138104800
Divisors of 2138104800
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 53 60 65 72 75 78 80 90 96 100 104 106 117 120 130 144 150 156 159 160 180 195 200 208 212 225 234 240 260 265 288 300 312 318 325 360 390 400 416 424 431 450 468 477 480 520 530 585 600 624 636 650 689 720 780 795 800 848 862 900 936 954 975 1040 1060 1170 1200 1248 1272 1293 1300 1325 1378 1440 1560 1590 1696 1724 1800 1872 1908 1950 2067 2080 2120 2155 2340 2385 2400 2544 2586 2600 2650 2756 2925 3120 3180 3445 3448 3600 3744 3816 3879 3900 3975 4134 4240 4310 4680 4770 5088 5172 5200 5300 5512 5603 5850 6201 6240 6360 6465 6890 6896 7200 7632 7758 7800 7950 8268 8480 8620 9360 9540 10335 10344 10400 10600 10775 11024 11206 11700 11925 12402 12720 12930 13780 13792 15264 15516 15600 15900 16536 16809 17225 17240 18720 19080 19395 20670 20688 21200 21550 22048 22412 22843 23400 23850 24804 25440 25860 27560 28015 31005 31032 31200 31800 32325 33072 33618 34450 34480 38160 38790 41340 41376 42400 43100 44824 45686 46800 47700 49608 50427 51675 51720 55120 56030 62010 62064 63600 64650 66144 67236 68529 68900 68960 76320 77580 82680 84045 86200 89648 91372 93600 95400 96975 99216 100854 103350 103440 110240 112060 114215 124020 124128 127200 129300 134472 137058 137800 140075 155025 155160 165360 168090 172400 179296 182744 190800 193950 198432 201708 205587 206700 206880 224120 228430 248040 252135 258600 268944 274116 275600 280150 296959 310050 310320 330720 336180 342645 344800 365488 381600 387900 403416 411174 413400 420225 448240 456860 496080 504270 517200 537888 548232 551200 560300 571075 593918 620100 620640 672360 685290 730976 775800 806832 822348 826800 840450 890877 896480 913720 992160 1008540 1027935 1034400 1096464 1120600 1142150 1187836 1240200 1260675 1344720 1370580 1484795 1551600 1613664 1644696 1653600 1680900 1713225 1781754 1827440 2017080 2055870 2192928 2241200 2284300 2375672 2480400 2521350 2672631 2689440 2741160 2969590 3103200 3289392 3361800 3426450 3563508 3654880 4034160 4111740 4454385 4482400 4568600 4751344 4960800 5042700 5139675 5345262 5482320 5939180 6578784 6723600 6852900 7127016 7423975 8068320 8223480 8908770 9137200 9502688 10085400 10279350 10690524 10964640 11878360 13363155 13447200 13705800 14254032 14847950 16446960 17817540 18274400 20170800 20558700 21381048 22271925 23756720 26726310 27411600 28508064 29695900 32893920 35635080 40341600 41117400 42762096 44543850 47513440 53452620 54823200 59391800 66815775 71270160 82234800 85524192 89087700 106905240 118783600 133631550 142540320 164469600 178175400 213810480 237567200 267263100 356350800 427620960 534526200 712701600 1069052400 2138104800
- Sum of all divisors σ(n): 8291844288
- Sum of proper divisors (its aliquot sum) s(n): 6153739488
- 2138104800 is an abundant number, because the sum of its proper divisors (6153739488) is greater than itself. Its abundance is 4015634688
Bases of 2138104800
- Binary: 11111110111000011100011111000002
- Hexadecimal: 0x7F70E3E0
- Base-36: ZCZ080
Squares and roots of 2138104800
- 2138104800 squared (21381048002) is 4571492135783040000
- 2138104800 cubed (21381048003) is 9774329278679969582592000000
-
The
square root of 2138104800 is 46239.6453273593 -
The
cube root of 2138104800 is 1288.2782149147
Scales and comparisons
How big is 2138104800?- 2,138,104,800 seconds is equal to 67 years, 51 weeks, 1 day, 14 hours.
-
To count from 1 to 2,138,104,800 would take you about one hundred thirty-five 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 2138104800 cubic inches would be around 107.4 feet tall.
Recreational maths with 2138104800
- 2138104800 backwards is 0084018312
- The number of decimal digits it has is: 10
- The sum of 2138104800's digits is 27
- More coming soon!
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