48528814914944000
48,528,814,914,944,000 is an even composite number composed of five prime numbers multiplied together.
48528814914944000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred sixty-four divisors.
Prime factorization of 48528814914944000:
210 × 53 × 73 × 136 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 229)See below for interesting mathematical facts about the number 48528814914944000 from the Numbermatics database.
Names of 48528814914944000
- Cardinal: 48528814914944000 can be written as Forty-eight quadrillion, five hundred twenty-eight trillion, eight hundred fourteen billion, nine hundred fourteen million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.8528814914944 × 1016
Factors of 48528814914944000
Divisors of 48528814914944000
- Number of divisors d(n): 2464
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 169 175 182 196 200 208 224 229 245 250 256 260 280 320 325 338 343 350 364 392 400 416 448 455 458 490 500 512 520 560 637 640 650 676 686 700 728 784 800 832 845 875 896 910 916 980 1000 1024 1040 1120 1145 1183 1225 1274 1280 1300 1352 1372 1400 1456 1568 1600 1603 1625 1664 1690 1715 1750 1792 1820 1832 1960 2000 2080 2197 2240 2275 2290 2366 2450 2548 2560 2600 2704 2744 2800 2912 2977 3136 3185 3200 3206 3250 3328 3380 3430 3500 3584 3640 3664 3920 4000 4160 4225 4394 4459 4480 4550 4580 4732 4900 5096 5120 5200 5408 5488 5600 5725 5824 5915 5954 6125 6272 6370 6400 6412 6500 6656 6760 6860 7000 7168 7280 7328 7840 8000 8015 8281 8320 8450 8575 8788 8918 8960 9100 9160 9464 9800 10192 10400 10816 10976 10985 11200 11221 11375 11450 11648 11830 11908 12250 12544 12740 12800 12824 13000 13312 13520 13720 14000 14560 14656 14885 15379 15680 15925 16000 16030 16562 16640 16900 17150 17576 17836 17920 18200 18320 18928 19600 20384 20800 20839 21125 21632 21952 21970 22295 22400 22442 22750 22900 23296 23660 23816 24500 25088 25480 25600 25648 26000 27040 27440 28000 28561 28625 29120 29312 29575 29770 30758 31360 31850 32000 32060 33124 33280 33800 34300 35152 35672 35840 36400 36640 37856 38701 39200 40075 40768 41405 41600 41678 42250 42875 43264 43904 43940 44590 44800 44884 45500 45800 46592 47320 47632 49000 50176 50960 51296 52000 54080 54880 54925 56000 56105 57122 57250 57967 58240 58624 59150 59540 61516 62720 63700 64000 64120 66248 66560 67600 68600 70304 71344 72800 73280 74425 75712 76895 77402 78400 78547 79625 80150 81536 82810 83200 83356 84500 85750 86528 87808 87880 89180 89600 89768 91000 91600 93184 94640 95264 98000 101920 102592 104000 104195 107653 108160 109760 109850 111475 112000 112210 114244 114500 115934 116480 117248 118300 119080 123032 125440 127400 128000 128240 132496 135200 137200 140608 142688 142805 145600 145873 146560 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48528814914944 49519198892800 52979055584000 53328368038400 54161623789000 55461502759936 57430550195200 58327902542000 60661018643680 61898998616000 66660460048000 69326878449920 70741712704000 71788187744000 74659715253760 75826273304600 76183382912000 86658598062400 93324644067200 94782841630750 97057629829888 99038397785600 105958111168000 106656736076800 108323247578000 116655805084000 121322037287360 123797997232000 133320920096000 138653756899840 141483425408000 143576375488000 149319430507520 151652546609200 173317196124800 186649288134400 189565683261500 194115259659776 198076795571200 211916222336000 216646495156000 233311610168000 242644074574720 247595994464000 266641840192000 277307513799680 287152750976000 303305093218400 346634392249600 373298576268800 379131366523000 388230519319552 433292990312000 466623220336000 485288149149440 495191988928000 533283680384000 606610186436800 693268784499200 746597152537600 758262733046000 866585980624000 933246440672000 970576298298880 990383977856000 1213220372873600 1386537568998400 1516525466092000 1733171961248000 1866492881344000 1941152596597760 2426440745747200 3033050932184000 3466343922496000 3732985762688000 4852881491494400 6066101864368000 6932687844992000 9705762982988800 12132203728736000 24264407457472000 48528814914944000
- Sum of all divisors σ(n): 153621669853392000
- Sum of proper divisors (its aliquot sum) s(n): 105092854938448000
- 48528814914944000 is an abundant number, because the sum of its proper divisors (105092854938448000) is greater than itself. Its abundance is 56564040023504000
Bases of 48528814914944000
- Binary: 101011000110100010110011001101100110000000111100000000002
- Hexadecimal: 0xAC68B336603C00
- Base-36: D9U11SVHJI8
Squares and roots of 48528814914944000
- 48528814914944000 squared (485288149149440002) is 2355045877048891229954523136000000
- 48528814914944000 cubed (485288149149440003) is 114287585483507606335315019225151920144384000000000
-
The
square root of 48528814914944000 is 220292566.6356992629 -
The
cube root of 48528814914944000 is 364753.8589825309
Scales and comparisons
How big is 48528814914944000?- 48,528,814,914,944,000 seconds is equal to 1,543,066,204 years, 42 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 48,528,814,914,944,000 would take you about four billion, six hundred twenty-nine million, one hundred ninety-eight thousand, six hundred fourteen 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 48528814914944000 cubic inches would be around 30396.2 feet tall.
Recreational maths with 48528814914944000
- 48528814914944000 backwards is 00044941941882584
- The number of decimal digits it has is: 17
- The sum of 48528814914944000's digits is 71
- More coming soon!
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"Number 48528814914944000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 48528814914944000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/48528814914944000/
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Numbermatics. 2024. "Number 48528814914944000 - Facts about the integer". https://numbermatics.com/n/48528814914944000/
The information we have on file for 48528814914944000 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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