47668313813120
47,668,313,813,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 47668313813120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
47668313813120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 47668313813120:
27 × 5 × 74 × 112 × 132 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 37 × 41)See below for interesting mathematical facts about the number 47668313813120 from the Numbermatics database.
Names of 47668313813120
- Cardinal: 47668313813120 can be written as Forty-seven trillion, six hundred sixty-eight billion, three hundred thirteen million, eight hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.766831381312 × 1013
Factors of 47668313813120
Divisors of 47668313813120
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 37 40 41 44 49 52 55 56 64 65 70 74 77 80 82 88 91 98 104 110 112 121 128 130 140 143 148 154 160 164 169 176 182 185 196 205 208 220 224 242 245 259 260 280 286 287 296 308 320 328 338 343 352 364 370 385 392 407 410 416 440 448 451 455 481 484 490 518 520 533 539 560 572 574 592 605 616 637 640 656 676 686 704 715 728 740 770 784 814 820 832 845 847 880 896 902 910 962 968 980 1001 1036 1040 1066 1078 1120 1144 1148 1183 1184 1210 1232 1274 1295 1312 1352 1372 1408 1430 1435 1456 1480 1517 1540 1568 1573 1628 1640 1664 1690 1694 1715 1760 1804 1813 1820 1859 1924 1936 1960 2002 2009 2035 2072 2080 2132 2156 2240 2255 2288 2296 2366 2368 2401 2405 2420 2464 2548 2590 2624 2665 2695 2704 2744 2849 2860 2870 2912 2960 3034 3080 3136 3146 3157 3185 3256 3280 3367 3380 3388 3430 3520 3608 3626 3640 3718 3731 3773 3848 3872 3920 4004 4018 4070 4144 4160 4235 4264 4312 4459 4477 4480 4510 4576 4592 4732 4736 4802 4810 4840 4928 4961 5005 5096 5180 5248 5291 5330 5390 5408 5488 5698 5720 5740 5824 5863 5915 5920 5929 6068 6160 6253 6272 6292 6314 6370 6512 6560 6734 6760 6776 6860 6929 7007 7040 7216 7252 7280 7436 7462 7546 7585 7696 7744 7840 7865 8008 8036 8140 8281 8288 8320 8470 8528 8624 8918 8954 9020 9065 9152 9184 9295 9464 9604 9620 9680 9856 9922 10010 10045 10192 10360 10582 10619 10660 10780 10816 10976 11011 11396 11440 11480 11648 11726 11830 11840 11858 12005 12136 12320 12506 12584 12628 12691 12740 13013 13024 13120 13468 13520 13552 13720 13858 14014 14063 14245 14432 14504 14560 14872 14924 15092 15170 15392 15488 15680 15730 15785 16016 16072 16280 16562 16576 16687 16835 16940 17056 17248 17836 17908 18040 18130 18304 18368 18590 18655 18865 18928 19208 19240 19360 19721 19844 19943 20020 20090 20384 20449 20720 21164 21238 21320 21560 21632 21952 22022 22099 22295 22385 22792 22880 22960 23452 23569 23660 23680 23716 24010 24272 24640 24805 25012 25168 25256 25382 25480 26026 26048 26117 26240 26411 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23005942960 23424232832 23727383680 23810346560 24320568272 24622062920 24775630880 25641911680 26191381216 26292506240 26423677280 27084269212 27794935168 28139500480 28206102848 28646823205 29066045008 29280291040 30304077440 30400710340 30953450528 31422751360 32208320144 32739226520 33218337152 33334485184 33855336515 34743668960 35257628560 36332556260 36809508736 37416258880 38691813160 39395300672 40260400180 40294432640 41522921440 41668106480 42560994476 44219215040 44716992320 45834917128 46011885920 47620693120 48641136544 49244125840 49551261760 52382762432 52847354560 53201243095 54168538424 56279000960 56412205696 57293646410 58132090016 58560582080 60801420680 61906901056 64416640288 65478453040 66668970368 67710673030 69487337920 70515257120 72665112520 74481740333 74832517760 77383626320 78790601344 80520800360 83045842880 83336212960 85121988952 88438430080 89433984640 91669834256 92023771840 97282273088 98488251680 99102523520 104765524864 105694709120 106402486190 108337076848 114587292820 116264180032 117121164160 121602841360 123813802112 128833280576 130956906080 135421346060 138974675840 141030514240 145330225040 148963480666 154767252640 161041600720 166091685760 166672425920 170243977904 183339668512 184047543680 194564546176 196976503360 212804972380 216674153696 229174585640 232528360064 243205682720 257666561152 261913812160 270842692120 282061028480 290660450080 297926961332 309534505280 322083201440 333344851840 340487955808 366679337024 372408701665 393953006720 425609944760 433348307392 458349171280 486411365440 523827624320 541685384240 581320900160 595853922664 619069010560 644166402880 680975911616 733358674048 744817403330 851219889520 866696614784 916698342560 972822730880 1083370768480 1162641800320 1191707845328 1288332805760 1361951823232 1489634806660 1702439779040 1833396685120 2166741536960 2383415690656 2979269613320 3404879558080 3666793370240 4333483073920 4766831381312 5958539226640 6809759116160 9533662762624 11917078453280 23834156906560 47668313813120
- Sum of all divisors σ(n): 166471601413320
- Sum of proper divisors (its aliquot sum) s(n): 118803287600200
- 47668313813120 is an abundant number, because the sum of its proper divisors (118803287600200) is greater than itself. Its abundance is 71134973787080
Bases of 47668313813120
- Binary: 10101101011010101001001110100101110000100000002
- Hexadecimal: 0x2B5AA4E97080
- Base-36: GWAIRA9A8
Squares and roots of 47668313813120
- 47668313813120 squared (476683138131202) is 2272268141786086994284134400
- 47668313813120 cubed (476683138131203) is 108315190850214245337868386305582563328000
-
The
square root of 47668313813120 is 6904224.3455090595 -
The
cube root of 47668313813120 is 36258.5080467211
Scales and comparisons
How big is 47668313813120?- 47,668,313,813,120 seconds is equal to 1,515,704 years, 48 weeks, 3 days, 1 hour, 25 minutes, 20 seconds.
-
To count from 1 to 47,668,313,813,120 would take you about three million, seven hundred eighty-nine thousand, two hundred sixty-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 47668313813120 cubic inches would be around 3021.5 feet tall.
Recreational maths with 47668313813120
- 47668313813120 backwards is 02131831386674
- The number of decimal digits it has is: 14
- The sum of 47668313813120's digits is 53
- More coming soon!
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Cite this page
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"Number 47668313813120 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 47668313813120 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/47668313813120/
Chicago style:
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The information we have on file for 47668313813120 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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