47948067638016
47,948,067,638,016 is an even composite number composed of eight prime numbers multiplied together.
What does the number 47948067638016 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
47948067638016 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 47948067638016:
28 × 3 × 7 × 13 × 19 × 53 × 137 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 19 × 53 × 137 × 4973)See below for interesting mathematical facts about the number 47948067638016 from the Numbermatics database.
Names of 47948067638016
- Cardinal: 47948067638016 can be written as Forty-seven trillion, nine hundred forty-eight billion, sixty-seven million, six hundred thirty-eight thousand and sixteen.
Scientific notation
- Scientific notation: 4.7948067638016 × 1013
Factors of 47948067638016
Divisors of 47948067638016
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 53 56 57 64 76 78 84 91 96 104 106 112 114 128 133 137 152 156 159 168 182 192 208 212 224 228 247 256 266 273 274 304 312 318 336 364 371 384 399 411 416 424 448 456 494 532 546 548 608 624 636 672 689 728 741 742 768 798 822 832 848 896 912 959 988 1007 1064 1092 1096 1113 1216 1248 1272 1344 1378 1456 1482 1484 1596 1644 1664 1696 1729 1781 1792 1824 1918 1976 2014 2067 2128 2184 2192 2226 2432 2496 2544 2603 2688 2756 2877 2912 2964 2968 3021 3192 3288 3328 3392 3458 3562 3648 3836 3952 4028 4134 4256 4368 4384 4452 4823 4864 4973 4992 5088 5187 5206 5343 5376 5512 5754 5824 5928 5936 6042 6384 6576 6784 6916 7049 7124 7261 7296 7672 7809 7904 8056 8268 8512 8736 8768 8904 9646 9946 9984 10176 10374 10412 10686 11024 11508 11648 11856 11872 12084 12467 12768 13091 13152 13568 13832 14098 14248 14469 14522 14592 14919 15344 15618 15808 16112 16536 17024 17472 17536 17808 18221 19292 19892 20352 20748 20824 21147 21372 21783 22048 23016 23296 23712 23744 24168 24934 25536 26182 26304 27664 28196 28496 28938 29044 29838 30688 31236 31616 32224 33072 33839 34048 34811 34944 35072 35616 36442 37401 38584 39273 39784 40704 41496 41648 42294 42744 43566 44096 46032 47424 47488 48336 49868 50827 51072 52364 52608 54663 55328 56392 56992 57876 58088 59676 61376 62472 63232 64448 64649 66144 67678 69622 69888 71232 72884 74802 77168 78546 79568 82992 83296 84588 85488 87132 88192 91637 92064 94393 94487 94848 94976 96672 99736 101517 101654 102144 104433 104728 105216 109326 110656 112784 113984 115752 116176 119352 122752 124944 128896 129298 132288 135356 137959 139244 142464 145768 149604 152481 154336 157092 159136 165984 166592 169176 170976 174264 176384 183274 184128 188786 188974 189696 193344 193947 199472 203034 203308 208866 209456 218652 221312 225568 227968 231504 232352 236873 238704 245504 249888 257792 258596 263569 264576 270712 274911 275918 278488 283179 283461 284928 291536 299208 304962 308672 314184 318272 331968 333184 338352 341952 348528 366548 368256 377572 377948 386688 387894 398944 406068 406616 413877 417732 418912 437304 442624 451136 452543 455936 463008 464704 473746 477408 499776 517192 527138 529152 541424 549822 551836 556976 566358 566922 583072 598416 609924 617344 628368 636544 660751 661409 663936 666368 676704 681301 683904 697056 710619 733096 736512 755144 755896 773376 775788 790707 797888 812136 813232 827754 835464 837824 874608 902272 905086 926016 929408 947492 954816 965713 999552 1034384 1054276 1082848 1099644 1103672 1113952 1132716 1133844 1166144 1196832 1219848 1228331 1234688 1256736 1273088 1321502 1322818 1327872 1353408 1357629 1362602 1367808 1394112 1421238 1466192 1510288 1511792 1551576 1581414 1595776 1624272 1626464 1655508 1670928 1675648 1749216 1793467 1804544 1810172 1844983 1852032 1858816 1894984 1909632 1931426 1982253 1984227 1999104 2043903 2068768 2108552 2165696 2199288 2207344 2227904 2265432 2267688 2332288 2393664 2439696 2456662 2513472 2643004 2645636 2706816 2715258 2725204 2788224 2842476 2897139 2932384 3020576 3023584 3103152 3162828 3191552 3248544 3252928 3311016 3341856 3351296 3426397 3498432 3586934 3620344 3684993 3689966 3704064 3789968 3819264 3862852 3964506 3968454 4087806 4137536 4217104 4331392 4398576 4414688 4455808 4530864 4535376 4664576 4769107 4787328 4879392 4913324 5007811 5026944 5286008 5291272 5380401 5413632 5430516 5450408 5534949 5576448 5684952 5794278 5864768 6041152 6047168 6206304 6325656 6497088 6505856 6622032 6683712 6852794 6996864 7173868 7240688 7369986 7379932 7579936 7725704 7929012 7936908 8175612 8275072 8434208 8598317 8662784 8797152 8829376 8856913 8911616 9061728 9070752 9538214 9574656 9758784 9826648 10015622 10053888 10279191 10572016 10582544 10760802 10861032 10900816 11069898 11369904 11588556 11729536 12082304 12094336 12412608 12554269 12651312 12944719 12994176 13011712 13244064 13367424 13705588 13993728 14307321 14347736 14481376 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77668314 78613184 80124976 82233528 84576128 84660352 86086416 86888256 87206528 88559184 90613033 90959232 92708448 95939116 100434152 101210496 103179804 103557752 105164031 105952512 106282956 108326859 109644704 114458568 114781888 115851008 117919776 118078912 120187464 123611264 123996782 126864192 126990528 130203086 130809792 137573072 140218708 141710608 143908674 144435812 150651228 152611424 155336628 157226368 160249952 164467056 168281347 169152256 169320704 172172832 173776512 174413056 177118368 181226066 181918464 185416896 185995173 191878232 195304629 200868304 202420992 206359608 207115504 210328062 212565912 216653718 219289408 228917136 229563776 235839552 236157824 240374928 247222528 247993564 252762671 253728384 253981056 260406172 261619584 271839099 275146144 280437416 283421216 287817348 288871624 301302456 305222848 310673256 314452736 320499904 328934112 336562694 344345664 347553024 354236736 362452132 370833792 371990346 383756464 390609258 401736608 412719216 414231008 420656124 425131824 433307436 438578816 455710801 457834272 459127552 469416389 471679104 472315648 480749856 495987128 504844041 505525342 507456768 507962112 520812344 523239168 543678198 550292288 560874832 566842432 575634696 577743248 602604912 610445696 621346512 640999808 657868224 673125388 686070107 688691328 708473472 724904264 741667584 743980692 758288013 767512928 781218516 803473216 825438432 828462016 841312248 850263648 866614872 877157632 911421602 915668544 938832778 943358208 961499712 991974256 1009688082 1011050684 1041624688 1087356396 1100584576 1121749664 1133684864 1151269392 1155486496 1177969429 1205209824 1220891392 1242693024 1281999616 1315736448 1346250776 1367132403 1372140214 1377382656 1408249167 1416946944 1449808528 1487961384 1516576026 1535025856 1562437032 1606946432 1650876864 1656924032 1682624496 1700527296 1733229744 1822843204 1831337088 1877665556 1922999424 1983948512 2019376164 2022101368 2058210321 2083249376 2174712792 2201169152 2243499328 2267369728 2302538784 2310972992 2355938858 2410419648 2485386048 2631472896 2692501552 2734264806 2744280428 2816498334 2899617056 2975922768 3033152052 3070051712 3124874064 3213892864 3285914723 3301753728 3313848064 3365248992 3401054592 3466459488 3533908287 3645686408 3662674176 3755331112 3845998848 3967897024 4038752328 4044202736 4116420642 4166498752 4349425584 4486998656 4605077568 4621945984 4711877716 4802490749 4820839296 4970772096 5385003104 5468529612 5488560856 5632996668 5799234112 5951845536 6066304104 6140103424 6249748128 6571829446 6603507456 6730497984 6802109184 6932918976 7067816574 7291372816 7510662224 7935794048 8077504656 8088405472 8232841284 8332997504 8698851168 8918911391 8973997312 9210155136 9243891968 9423755432 9604981498 9641678592 9857744169 9941544192 10770006208 10937059224 10977121712 11265993336 11598468224 11903691072 12132608208 12499496256 13143658892 13460995968 13865837952 14135633148 14407472247 14582745632 15021324448 15871588096 16155009312 16176810944 16465682568 16665995008 17397702336 17837822782 18420310272 18847510864 19209962996 19715488338 21540012416 21874118448 21954243424 22531986672 23196936448 23807382144 24265216416 24998992512 26287317784 26756734173 26921991936 27731675904 28271266296 28814944494 29165491264 30042648896 32310018624 32353621888 32931365136 34795404672 35675645564 37695021728 38419925992 39430976676 43080024832 43748236896 43908486848 45063973344 47614764288 48530432832 49997985024 52574635568 53513468346 56542532592 57629888988 58330982528 60085297792 62432379737 64620037248 64707243776 65862730272 69590809344 71351291128 75390043456 76839851984 78861953352 87496473792 87816973696 90127946688 97060865664 105149271136 107026936692 113085065184 115259777976 116661965056 120170595584 124864759474 129240074496 131725460544 142702582256 150780086912 153679703968 157723906704 174992947584 175633947392 180255893376 187297139211 194121731328 210298542272 214053873384 226170130368 230519555952 249729518948 263450921088 285405164512 301560173824 307359407936 315447813408 349985895168 360511786752 374594278422 420597084544 428107746768 452340260736 461039111904 499459037896 526901842176 570810329024 614718815872 630895626816 749188556844 841194169088 856215493536 904680521472 922078223808 998918075792 1141620658048 1229437631744 1261791253632 1498377113688 1712430987072 1844156447616 1997836151584 2283241316096 2523582507264 2996754227376 3424861974144 3688312895232 3995672303168 5993508454752 6849723948288 7991344606336 11987016909504 15982689212672 23974033819008 47948067638016
- Sum of all divisors σ(n): 169710040442880
- Sum of proper divisors (its aliquot sum) s(n): 121761972804864
- 47948067638016 is an abundant number, because the sum of its proper divisors (121761972804864) is greater than itself. Its abundance is 73813905166848
Bases of 47948067638016
- Binary: 10101110011011110001111000101000001011000000002
- Hexadecimal: 0x2B9BC78A0B00
- Base-36: GZV1DHM2O
Squares and roots of 47948067638016
- 47948067638016 squared (479480676380162) is 2299017190219757237208416256
- 47948067638016 cubed (479480676380163) is 110233431737618416368652669061342057988096
-
The
square root of 47948067638016 is 6924454.3205956667 -
The
cube root of 47948067638016 is 36329.3005486365
Scales and comparisons
How big is 47948067638016?- 47,948,067,638,016 seconds is equal to 1,524,600 years, 12 weeks, 2 days, 13 hours, 13 minutes, 36 seconds.
-
To count from 1 to 47,948,067,638,016 would take you about three million, eight hundred eleven thousand, five hundred 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 47948067638016 cubic inches would be around 3027.4 feet tall.
Recreational maths with 47948067638016
- 47948067638016 backwards is 61083676084974
- The number of decimal digits it has is: 14
- The sum of 47948067638016's digits is 69
- More coming soon!
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The information we have on file for 47948067638016 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!
Keywords: Divisors of 47948067638016, math, Factors of 47948067638016, curriculum, school, college, exams, university, Prime factorization of 47948067638016, STEM, science, technology, engineering, physics, economics, calculator, forty-seven trillion, nine hundred forty-eight billion, sixty-seven million, six hundred thirty-eight thousand and sixteen.