48648661197120
48,648,661,197,120 is an even composite number composed of seven prime numbers multiplied together.
48648661197120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 48648661197120:
26 × 36 × 5 × 19 × 292 × 31 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 19 × 29 × 29 × 31 × 421)See below for interesting mathematical facts about the number 48648661197120 from the Numbermatics database.
Names of 48648661197120
- Cardinal: 48648661197120 can be written as Forty-eight trillion, six hundred forty-eight billion, six hundred sixty-one million, one hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.864866119712 × 1013
Factors of 48648661197120
Divisors of 48648661197120
- Number of divisors d(n): 2352
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 29 30 31 32 36 38 40 45 48 54 57 58 60 62 64 72 76 80 81 87 90 93 95 96 108 114 116 120 124 135 144 145 152 155 160 162 171 174 180 186 190 192 216 228 232 240 243 248 261 270 279 285 288 290 304 310 320 324 342 348 360 372 380 405 421 432 435 456 464 465 480 486 496 513 522 540 551 558 570 576 580 589 608 620 648 684 696 720 729 744 760 783 810 837 841 842 855 864 870 899 912 928 930 960 972 992 1026 1044 1080 1102 1116 1140 1160 1178 1215 1216 1240 1263 1296 1305 1368 1392 1395 1440 1458 1488 1520 1539 1566 1620 1653 1674 1682 1684 1710 1728 1740 1767 1798 1824 1856 1860 1944 1984 2052 2088 2105 2160 2204 2232 2280 2320 2349 2356 2430 2480 2511 2523 2526 2565 2592 2610 2697 2736 2755 2784 2790 2880 2916 2945 2976 3040 3078 3132 3240 3306 3348 3364 3368 3420 3480 3534 3596 3645 3648 3720 3789 3888 3915 4104 4176 4185 4205 4210 4320 4408 4464 4495 4560 4617 4640 4698 4712 4860 4959 4960 5022 5046 5052 5130 5184 5220 5301 5394 5472 5510 5568 5580 5832 5890 5952 6080 6156 6264 6315 6480 6612 6696 6728 6736 6840 6960 7047 7068 7192 7290 7440 7533 7569 7578 7695 7776 7830 7999 8091 8208 8265 8352 8370 8410 8420 8640 8816 8835 8928 8990 9120 9234 9280 9396 9424 9720 9918 9920 10044 10092 10104 10260 10440 10602 10788 10944 11020 11160 11367 11664 11745 11780 12209 12312 12528 12555 12615 12630 12960 13051 13224 13392 13456 13472 13485 13680 13851 13920 14094 14136 14384 14580 14877 14880 15066 15138 15156 15390 15552 15660 15903 15979 15998 16182 16416 16530 16704 16740 16820 16840 17081 17632 17670 17856 17980 18240 18468 18792 18848 18945 19440 19836 20088 20184 20208 20520 20880 21141 21204 21576 22040 22320 22599 22707 22734 23085 23328 23490 23560 23997 24273 24418 24624 24795 25056 25110 25230 25260 25920 26071 26102 26448 26505 26784 26912 26944 26970 27360 27702 27840 28188 28272 28768 29160 29754 29760 30132 30276 30312 30780 31320 31806 31958 31996 32364 32832 33060 33480 33640 33680 34101 34162 35235 35264 35340 35960 36627 36936 37584 37665 37696 37845 37890 38880 39153 39672 39995 40176 40368 40416 40455 41040 41760 42282 42408 43152 44080 44631 44640 45198 45414 45468 46170 46656 46980 47120 47709 47937 47994 48546 48836 49248 49590 50112 50220 50460 50520 51243 52142 52204 52896 53010 53568 53824 53940 54720 55404 56376 56544 56835 57536 58320 59508 60264 60552 60624 61045 61560 62640 63612 63916 63992 64728 65255 66120 66960 67280 67360 68121 68202 68324 69255 70470 70680 71920 71991 72819 73254 73872 74385 75168 75330 75690 75780 77760 78213 78306 79344 79515 79895 79990 80352 80736 80832 80910 82080 83520 84564 84816 85405 86304 88160 89262 89280 90396 90828 90936 92340 93960 94240 95418 95874 95988 97092 97672 98496 99180 100440 100920 101040 102303 102486 104284 104408 105705 105792 106020 107880 109881 110808 112752 112995 113088 113535 113670 116640 117459 119016 119985 120528 121104 121248 121365 122090 123120 125280 127224 127832 127984 129456 130355 130510 132240 133893 133920 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43591990320 44145790560 45045056664 46598334480 47415849120 49040989110 50050062960 50675688747 52310388384 52423126290 53342830260 54114194880 55918001376 56306320830 56899018944 57777507360 57846208320 58122653760 60060075552 62131112640 64011396312 65387985480 66733417280 67567584996 69897501720 71123773680 75075094440 78465582576 80014245390 82595350080 83877002064 84459481245 85348528416 87183980640 88291581120 90090113328 93196668960 94831698240 98081978220 100100125920 101351377494 104620776768 104846252580 106685660520 111836002752 112612641660 115555014720 120120151104 128022792624 130775970960 135135169992 139795003440 142247547360 150150188880 152027066241 156931165152 160028490780 167754004128 168918962490 170697056832 174367961280 180180226656 186393337920 196163956440 200200251840 202702754988 209692505160 213371321040 225225283320 253378443735 256045585248 261551941920 270270339984 279590006880 284495094720 300300377760 304054132482 313862330304 320056981560 335508008256 337837924980 360360453312 392327912880 405405509976 419385010320 426742642080 450450566640 506756887470 512091170496 523103883840 540540679968 559180013760 600600755520 608108264964 640113963120 675675849960 760135331205 784655825760 810811019952 838770020640 853485284160 900901133280 1013513774940 1081081359936 1216216529928 1280227926240 1351351699920 1520270662410 1569311651520 1621622039904 1677540041280 1801802266560 2027027549880 2432433059856 2560455852480 2702703399840 3040541324820 3243244079808 4054055099760 4864866119712 5405406799680 6081082649640 8108110199520 9729732239424 12162165299280 16216220399040 24324330598560 48648661197120
- Sum of all divisors σ(n): 195923131322880
- Sum of proper divisors (its aliquot sum) s(n): 147274470125760
- 48648661197120 is an abundant number, because the sum of its proper divisors (147274470125760) is greater than itself. Its abundance is 98625808928640
Bases of 48648661197120
- Binary: 10110000111110111001100010101101100001010000002
- Hexadecimal: 0x2C3EE62B6140
- Base-36: H8SVWT000
Squares and roots of 48648661197120
- 48648661197120 squared (486486611971202) is 2366692236272169151496294400
- 48648661197120 cubed (486486611971203) is 115136408760259034399770852164747952128000
-
The
square root of 48648661197120 is 6974859.2241793669 -
The
cube root of 48648661197120 is 36505.3876320893
Scales and comparisons
How big is 48648661197120?- 48,648,661,197,120 seconds is equal to 1,546,876 years, 49 weeks, 1 day, 7 hours, 12 minutes.
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To count from 1 to 48,648,661,197,120 would take you about three million, eight hundred sixty-seven thousand, one hundred ninety-two 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 48648661197120 cubic inches would be around 3042.1 feet tall.
Recreational maths with 48648661197120
- 48648661197120 backwards is 02179116684684
- The number of decimal digits it has is: 14
- The sum of 48648661197120's digits is 63
- More coming soon!
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The information we have on file for 48648661197120 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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