42048460800
42,048,460,800 is an even composite number composed of four prime numbers multiplied together.
42048460800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 42048460800:
211 × 34 × 52 × 10139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 10139)See below for interesting mathematical facts about the number 42048460800 from the Numbermatics database.
Names of 42048460800
- Cardinal: 42048460800 can be written as Forty-two billion, forty-eight million, four hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.20484608 × 1010
Factors of 42048460800
Divisors of 42048460800
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 256 270 288 300 320 324 360 384 400 405 432 450 480 512 540 576 600 640 648 675 720 768 800 810 864 900 960 1024 1080 1152 1200 1280 1296 1350 1440 1536 1600 1620 1728 1800 1920 2025 2048 2160 2304 2400 2560 2592 2700 2880 3072 3200 3240 3456 3600 3840 4050 4320 4608 4800 5120 5184 5400 5760 6144 6400 6480 6912 7200 7680 8100 8640 9216 9600 10139 10240 10368 10800 11520 12800 12960 13824 14400 15360 16200 17280 18432 19200 20278 20736 21600 23040 25600 25920 27648 28800 30417 30720 32400 34560 38400 40556 41472 43200 46080 50695 51200 51840 55296 57600 60834 64800 69120 76800 81112 82944 86400 91251 92160 101390 103680 115200 121668 129600 138240 152085 153600 162224 165888 172800 182502 202780 207360 230400 243336 253475 259200 273753 276480 304170 324448 345600 365004 405560 414720 456255 460800 486672 506950 518400 547506 608340 648896 691200 730008 760425 811120 821259 829440 912510 973344 1013900 1036800 1095012 1216680 1297792 1368765 1382400 1460016 1520850 1622240 1642518 1825020 1946688 2027800 2073600 2190024 2281275 2433360 2595584 2737530 2920032 3041700 3244480 3285036 3650040 3893376 4055600 4106295 4147200 4380048 4562550 4866720 5191168 5475060 5840064 6083400 6488960 6570072 6843825 7300080 7786752 8111200 8212590 8760096 9125100 9733440 10382336 10950120 11680128 12166800 12977920 13140144 13687650 14600160 15573504 16222400 16425180 17520192 18250200 19466880 20531475 20764672 21900240 23360256 24333600 25955840 26280288 27375300 29200320 31147008 32444800 32850360 35040384 36500400 38933760 41062950 43800480 46720512 48667200 51911680 52560576 54750600 58400640 62294016 64889600 65700720 70080768 73000800 77867520 82125900 87600960 93441024 97334400 103823360 105121152 109501200 116801280 129779200 131401440 140161536 146001600 155735040 164251800 175201920 186882048 194668800 210242304 219002400 233602560 259558400 262802880 280323072 292003200 311470080 328503600 350403840 389337600 420484608 438004800 467205120 519116800 525605760 560646144 584006400 657007200 700807680 778675200 840969216 876009600 934410240 1051211520 1168012800 1314014400 1401615360 1557350400 1681938432 1752019200 2102423040 2336025600 2628028800 2803230720 3504038400 4204846080 4672051200 5256057600 7008076800 8409692160 10512115200 14016153600 21024230400 42048460800
- Sum of all divisors σ(n): 155753898300
- Sum of proper divisors (its aliquot sum) s(n): 113705437500
- 42048460800 is an abundant number, because the sum of its proper divisors (113705437500) is greater than itself. Its abundance is 71656976700
Bases of 42048460800
- Binary: 1001110010100100100010011000000000002
- Hexadecimal: 0x9CA489800
- Base-36: JBEKG00
Squares and roots of 42048460800
- 42048460800 squared (420484608002) is 1768073055649136640000
- 42048460800 cubed (420484608003) is 74344750571998940560883712000000
-
The
square root of 42048460800 is 205057.2134795555 -
The
cube root of 42048460800 is 3477.3630439787
Scales and comparisons
How big is 42048460800?- 42,048,460,800 seconds is equal to 1,337 years, 4 days.
-
To count from 1 to 42,048,460,800 would take you about two thousand, six hundred seventy-four 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 42048460800 cubic inches would be around 289.8 feet tall.
Recreational maths with 42048460800
- 42048460800 backwards is 00806484024
- 42048460800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42048460800's digits is 36
- More coming soon!
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