48807938949120
48,807,938,949,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 48807938949120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2176 divisors.
48807938949120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred seventy-six divisors.
Prime factorization of 48807938949120:
216 × 37 × 5 × 133 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 31)See below for interesting mathematical facts about the number 48807938949120 from the Numbermatics database.
Names of 48807938949120
- Cardinal: 48807938949120 can be written as Forty-eight trillion, eight hundred seven billion, nine hundred thirty-eight million, nine hundred forty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.880793894912 × 1013
Factors of 48807938949120
Divisors of 48807938949120
- Number of divisors d(n): 2176
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 64 65 72 78 80 81 90 93 96 104 108 117 120 124 128 130 135 144 155 156 160 162 169 180 186 192 195 208 216 234 240 243 248 256 260 270 279 288 310 312 320 324 338 351 360 372 384 390 403 405 416 432 465 468 480 486 496 507 512 520 540 558 576 585 620 624 640 648 676 702 720 729 744 768 780 806 810 832 837 845 864 930 936 960 972 992 1014 1024 1040 1053 1080 1116 1152 1170 1209 1215 1240 1248 1280 1296 1352 1395 1404 1440 1458 1488 1521 1536 1560 1612 1620 1664 1674 1690 1728 1755 1860 1872 1920 1944 1984 2015 2028 2048 2080 2106 2160 2187 2197 2232 2304 2340 2418 2430 2480 2496 2511 2535 2560 2592 2704 2790 2808 2880 2916 2976 3042 3072 3120 3159 3224 3240 3328 3348 3380 3456 3510 3627 3645 3720 3744 3840 3888 3968 4030 4056 4096 4160 4185 4212 4320 4374 4394 4464 4563 4608 4680 4836 4860 4960 4992 5022 5070 5120 5184 5239 5265 5408 5580 5616 5760 5832 5952 6045 6084 6144 6240 6318 6448 6480 6591 6656 6696 6760 6912 7020 7254 7290 7440 7488 7533 7605 7680 7776 7936 8060 8112 8192 8320 8370 8424 8640 8748 8788 8928 9126 9216 9360 9477 9672 9720 9920 9984 10044 10140 10240 10368 10478 10530 10816 10881 10935 10985 11160 11232 11520 11664 11904 12090 12168 12288 12480 12555 12636 12896 12960 13182 13312 13392 13520 13689 13824 14040 14508 14580 14880 14976 15066 15210 15360 15552 15717 15795 15872 16120 16224 16384 16640 16740 16848 17280 17496 17576 17856 18135 18252 18432 18720 18954 19344 19440 19773 19840 19968 20088 20280 20480 20736 20956 21060 21632 21762 21870 21970 22320 22464 22599 22815 23040 23328 23808 24180 24336 24576 24960 25110 25272 25792 25920 26195 26364 26624 26784 27040 27378 27648 28080 28431 29016 29160 29760 29952 30132 30420 30720 31104 31434 31590 31744 32240 32448 32643 32768 32955 33280 33480 33696 34560 34992 35152 35712 36270 36504 36864 37440 37665 37908 38688 38880 39546 39680 39936 40176 40560 40960 41067 41472 41912 42120 43264 43524 43740 43940 44640 44928 45198 45630 46080 46656 47151 47385 47616 48360 48672 49152 49920 50220 50544 51584 51840 52390 52728 53248 53568 54080 54405 54756 55296 56160 56862 58032 58320 59319 59520 59904 60264 60840 61440 62208 62868 63180 63488 64480 64896 65286 65536 65910 66560 66960 67392 67797 68107 68445 69120 69984 70304 71424 72540 73008 73728 74880 75330 75816 77376 77760 78585 79092 79360 79872 80352 81120 81920 82134 82944 83824 84240 86528 87048 87480 87880 89280 89856 90396 91260 92160 93312 94302 94770 95232 96720 97344 97929 98304 98865 99840 100440 101088 103168 103680 104780 105456 106496 107136 108160 108810 109512 110592 112320 112995 113724 116064 116640 118638 119040 119808 120528 121680 122880 123201 124416 125736 126360 126976 128960 129792 130572 131820 133120 133920 134784 135594 136214 136890 138240 139968 140608 141453 142155 142848 145080 146016 147456 149760 150660 151632 154752 155520 157170 158184 158720 159744 160704 162240 163215 163840 164268 165888 167648 168480 173056 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3253862596608 3754456842240 4067328245760 4880793894912 5423104327680 6100992368640 8134656491520 9761587789824 12201984737280 16269312983040 24403969474560 48807938949120
- Sum of all divisors σ(n): 196452989644800
- Sum of proper divisors (its aliquot sum) s(n): 147645050695680
- 48807938949120 is an abundant number, because the sum of its proper divisors (147645050695680) is greater than itself. Its abundance is 98837111746560
Bases of 48807938949120
- Binary: 10110001100011111110111101110100000000000000002
- Hexadecimal: 0x2C63FBDD0000
- Base-36: HAU22O000
Squares and roots of 48807938949120
- 48807938949120 squared (488079389491202) is 2382214904461025129948774400
- 48807938949120 cubed (488079389491203) is 116270999620617448081029895428167958528000
-
The
square root of 48807938949120 is 6986267.8841510221 -
The
cube root of 48807938949120 is 36545.1842871089
Scales and comparisons
How big is 48807938949120?- 48,807,938,949,120 seconds is equal to 1,551,941 years, 25 weeks, 1 day, 19 hours, 12 minutes.
-
To count from 1 to 48,807,938,949,120 would take you about three million, eight hundred seventy-nine thousand, eight hundred fifty-three 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 48807938949120 cubic inches would be around 3045.4 feet tall.
Recreational maths with 48807938949120
- 48807938949120 backwards is 02194983970884
- 48807938949120 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48807938949120's digits is 72
- More coming soon!
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MLA style:
"Number 48807938949120 - Facts about the integer". Numbermatics.com. 2024. Web. 14 November 2024.
APA style:
Numbermatics. (2024). Number 48807938949120 - Facts about the integer. Retrieved 14 November 2024, from https://numbermatics.com/n/48807938949120/
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Numbermatics. 2024. "Number 48807938949120 - Facts about the integer". https://numbermatics.com/n/48807938949120/
The information we have on file for 48807938949120 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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