148049840448000
148,049,840,448,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 148049840448000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3200 divisors.
148049840448000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 148049840448000:
29 × 34 × 53 × 17 × 29 × 53 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 29 × 53 × 1093)See below for interesting mathematical facts about the number 148049840448000 from the Numbermatics database.
Names of 148049840448000
- Cardinal: 148049840448000 can be written as One hundred forty-eight trillion, forty-nine billion, eight hundred forty million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.48049840448 × 1014
Factors of 148049840448000
Divisors of 148049840448000
- Number of divisors d(n): 3200
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 29 30 32 34 36 40 45 48 50 51 53 54 58 60 64 68 72 75 80 81 85 87 90 96 100 102 106 108 116 120 125 128 135 136 144 145 150 153 159 160 162 170 174 180 192 200 204 212 216 225 232 240 250 255 256 261 265 270 272 288 290 300 306 318 320 324 340 348 360 375 384 400 405 408 424 425 432 435 450 459 464 477 480 493 500 510 512 522 530 540 544 576 580 600 612 636 640 648 675 680 696 720 725 750 765 768 783 795 800 810 816 848 850 864 870 900 901 918 928 954 960 986 1000 1020 1044 1060 1080 1088 1093 1125 1152 1160 1200 1224 1272 1275 1280 1296 1305 1325 1350 1360 1377 1392 1431 1440 1450 1479 1500 1530 1536 1537 1566 1590 1600 1620 1632 1696 1700 1728 1740 1800 1802 1836 1856 1908 1920 1972 2000 2025 2040 2088 2120 2125 2160 2175 2176 2186 2250 2295 2304 2320 2349 2385 2400 2448 2465 2544 2550 2560 2592 2610 2650 2700 2703 2720 2754 2784 2862 2880 2900 2958 3000 3060 3074 3132 3180 3200 3240 3264 3279 3375 3392 3400 3456 3480 3600 3604 3625 3672 3712 3816 3825 3840 3915 3944 3975 4000 4050 4080 4176 4240 4250 4293 4320 4350 4352 4372 4437 4500 4505 4590 4608 4611 4640 4698 4770 4800 4896 4930 5088 5100 5184 5220 5300 5400 5406 5440 5465 5508 5568 5724 5760 5800 5916 6000 6120 6148 6264 6360 6375 6400 6480 6525 6528 6558 6625 6750 6784 6800 6885 6912 6960 7155 7200 7208 7250 7344 7395 7424 7632 7650 7680 7685 7830 7888 7950 8000 8100 8109 8160 8352 8480 8500 8586 8640 8700 8704 8744 8874 9000 9010 9180 9222 9280 9396 9540 9600 9792 9837 9860 10125 10176 10200 10368 10440 10600 10800 10812 10875 10880 10930 11016 11136 11448 11475 11520 11600 11745 11832 11925 12000 12240 12296 12325 12528 12720 12750 12800 12960 13050 13056 13116 13250 13311 13500 13515 13568 13600 13770 13824 13833 13920 14310 14400 14416 14500 14688 14790 14848 15264 15300 15370 15660 15776 15900 16000 16200 16218 16320 16395 16704 16960 17000 17172 17280 17400 17488 17748 18000 18020 18360 18444 18560 18581 18792 19080 19125 19200 19575 19584 19674 19720 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246749734080 255258345600 257030973000 272150442000 274166371200 279339321600 283620384000 289159844625 290293804800 296099680896 300303936000 308437167600 310377024000 319072932000 322548672000 328999645440 340344460800 342707964000 348352565760 349174152000 362867256000 365555161600 370124601120 385546459500 394799574528 411249556800 425430576000 435440707200 456943952000 462655751400 465565536000 483823008000 493499468160 510516691200 514061946000 544300884000 548332742400 558678643200 567240768000 578319689250 580587609600 592199361792 616874335200 638145864000 657999290880 685415928000 698348304000 725734512000 740249202240 771092919000 822499113600 850861152000 870881414400 913887904000 925311502800 931131072000 967646016000 986998936320 1021033382400 1028123892000 1088601768000 1096665484800 1156639378500 1184398723584 1233748670400 1276291728000 1370831856000 1396696608000 1451469024000 1480498404480 1542185838000 1644998227200 1701722304000 1741762828800 1827775808000 1850623005600 1973997872640 2056247784000 2177203536000 2313278757000 2467497340800 2552583456000 2741663712000 2793393216000 2902938048000 2960996808960 3084371676000 3289996454400 3701246011200 4112495568000 4354407072000 4626557514000 4934994681600 5105166912000 5483327424000 5921993617920 6168743352000 7402492022400 8224991136000 8708814144000 9253115028000 9869989363200 12337486704000 14804984044800 16449982272000 18506230056000 24674973408000 29609968089600 37012460112000 49349946816000 74024920224000 148049840448000
- Sum of all divisors σ(n): 616013803753920
- Sum of proper divisors (its aliquot sum) s(n): 467963963305920
- 148049840448000 is an abundant number, because the sum of its proper divisors (467963963305920) is greater than itself. Its abundance is 319914122857920
Bases of 148049840448000
- Binary: 1000011010100110100010100010011000100010000000002
- Hexadecimal: 0x86A68A262200
- Base-36: 1GH95OGW00
Squares and roots of 148049840448000
- 148049840448000 squared (1480498404480002) is 21918755256678256840704000000
- 148049840448000 cubed (1480498404480003) is 3245068218569977211736991751995392000000000
-
The
square root of 148049840448000 is 12167573.3179627893 -
The
cube root of 148049840448000 is 52901.6617781459
Scales and comparisons
How big is 148049840448000?- 148,049,840,448,000 seconds is equal to 4,707,526 years, 50 weeks, 6 days.
-
To count from 1 to 148,049,840,448,000 would take you about eleven million, seven hundred sixty-eight thousand, eight hundred seventeen 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 148049840448000 cubic inches would be around 4408.5 feet tall.
Recreational maths with 148049840448000
- 148049840448000 backwards is 000844048940841
- 148049840448000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 148049840448000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 148049840448000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 148049840448000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/148049840448000/
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The information we have on file for 148049840448000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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