48684672116513640
48,684,672,116,513,640 is an even composite number composed of nine prime numbers multiplied together.
What does the number 48684672116513640 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2048 divisors.
48684672116513640 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 48684672116513640:
23 × 33 × 5 × 29 × 41 × 61 × 71 × 1093 × 8009
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 29 × 41 × 61 × 71 × 1093 × 8009)See below for interesting mathematical facts about the number 48684672116513640 from the Numbermatics database.
Names of 48684672116513640
- Cardinal: 48684672116513640 can be written as Forty-eight quadrillion, six hundred eighty-four trillion, six hundred seventy-two billion, one hundred sixteen million, five hundred thirteen thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.868467211651364 × 1016
Factors of 48684672116513640
Divisors of 48684672116513640
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 41 45 54 58 60 61 71 72 82 87 90 108 116 120 122 123 135 142 145 164 174 180 183 205 213 216 232 244 246 261 270 284 290 305 328 348 355 360 366 369 410 426 435 488 492 522 540 549 568 580 610 615 639 696 710 732 738 783 820 852 870 915 984 1044 1065 1080 1093 1098 1107 1160 1189 1220 1230 1278 1305 1420 1464 1476 1566 1640 1647 1704 1740 1769 1830 1845 1917 2059 2088 2130 2186 2196 2214 2378 2440 2460 2501 2556 2610 2745 2840 2911 2952 3132 3195 3279 3294 3480 3538 3567 3660 3690 3834 3915 4118 4260 4331 4372 4392 4428 4756 4920 5002 5112 5220 5307 5465 5490 5535 5822 5945 6177 6264 6390 6558 6588 7076 7134 7320 7380 7503 7668 7830 8009 8235 8236 8520 8662 8733 8744 8845 8856 9512 9585 9837 10004 10295 10440 10614 10701 10930 10980 11070 11644 11890 12354 12505 12780 12993 13116 13176 14152 14268 14555 14760 15006 15336 15660 15921 16018 16395 16470 16472 17324 17466 17690 17835 18531 19170 19674 20008 20590 21228 21402 21655 21860 21960 22140 22509 23288 23780 24027 24708 25010 25560 25986 26199 26232 26535 28536 29110 29511 30012 30885 31320 31697 31842 32036 32103 32790 32940 34648 34932 35380 35670 37062 37515 38340 38979 39348 40045 41180 42456 42804 43310 43665 43720 44280 44813 45018 47560 47763 48054 49185 49416 50020 51972 52398 53070 53505 55593 58220 59022 60024 61770 63394 63684 64072 64206 64965 65580 65880 66673 67527 69864 70760 71340 72081 72529 74124 75030 76680 77603 77958 78597 78696 79605 80090 82360 84419 85608 86620 87330 89626 90036 92655 95091 95526 96108 98370 100040 103944 104796 106140 107010 111186 112545 116440 116937 118044 120135 123540 125599 126788 127368 128412 129930 130995 131160 133346 134439 135054 142680 144162 145058 147555 148248 150060 155206 155916 157194 158485 159210 160180 160515 168838 173240 174660 177571 179252 180072 185310 190182 191052 192216 194895 196740 200019 209592 212280 214020 216243 217587 222372 224065 225090 232261 232809 233874 236088 238815 240270 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2434233605825682 2704704006472980 3245644807767576 4057056009709470 4868467211651364 5409408012945960 6085584014564205 8114112019418940 9736934423302728 12171168029128410 16228224038837880 24342336058256820 48684672116513640
- Sum of all divisors σ(n): 177438178229760000
- Sum of proper divisors (its aliquot sum) s(n): 128753506113246360
- 48684672116513640 is an abundant number, because the sum of its proper divisors (128753506113246360) is greater than itself. Its abundance is 80068833996732720
Bases of 48684672116513640
- Binary: 101011001111011001110011100010111000001011011011011010002
- Hexadecimal: 0xACF6738B82DB68
- Base-36: DBD9XM16RU0
Squares and roots of 48684672116513640
- 48684672116513640 squared (486846721165136402) is 2370197299092440707427588306049600
- 48684672116513640 cubed (486846721165136403) is 115392278357761688355989063737623741690472916544000
-
The
square root of 48684672116513640 is 220646033.5390456095 -
The
cube root of 48684672116513640 is 365143.9280172815
Scales and comparisons
How big is 48684672116513640?- 48,684,672,116,513,640 seconds is equal to 1,548,021,981 years, 37 weeks, 5 days, 12 hours, 54 minutes.
-
To count from 1 to 48,684,672,116,513,640 would take you about four billion, six hundred forty-four million, sixty-five thousand, nine hundred forty-five 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 48684672116513640 cubic inches would be around 30428.7 feet tall.
Recreational maths with 48684672116513640
- 48684672116513640 backwards is 04631561127648684
- 48684672116513640 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48684672116513640's digits is 72
- More coming soon!
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The information we have on file for 48684672116513640 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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