31648968020842680
31,648,968,020,842,680 is an even composite number composed of seven prime numbers multiplied together.
31648968020842680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 31648968020842680:
23 × 3 × 5 × 172 × 192 × 1372 × 3672
(2 × 2 × 2 × 3 × 5 × 17 × 17 × 19 × 19 × 137 × 137 × 367 × 367)See below for interesting mathematical facts about the number 31648968020842680 from the Numbermatics database.
Names of 31648968020842680
- Cardinal: 31648968020842680 can be written as Thirty-one quadrillion, six hundred forty-eight trillion, nine hundred sixty-eight billion, twenty million, eight hundred forty-two thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.164896802084268 × 1016
Factors of 31648968020842680
Divisors of 31648968020842680
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 137 152 170 190 204 228 255 274 285 289 323 340 361 367 380 408 411 456 510 548 570 578 646 680 685 722 734 760 822 867 969 1020 1083 1096 1101 1140 1156 1292 1370 1444 1445 1468 1615 1644 1734 1805 1835 1938 2040 2055 2166 2202 2280 2312 2329 2584 2603 2740 2888 2890 2936 3230 3288 3468 3610 3670 3876 4110 4332 4335 4404 4658 4845 5206 5415 5480 5491 5505 5780 6137 6239 6460 6936 6973 6987 7220 7340 7752 7809 8220 8664 8670 8808 9316 9690 10412 10830 10982 11010 11560 11645 12274 12478 12920 13015 13946 13974 14440 14680 15618 16440 16473 17340 18411 18632 18717 18769 19380 20824 20919 21660 21964 22020 23290 24548 24956 26030 27455 27892 27948 30685 31195 31236 32946 34680 34865 34935 36822 37434 37538 38760 39045 39593 41838 43320 43928 44040 44251 46580 49096 49457 49912 50279 52060 54910 55784 55896 56307 61370 62390 62472 65892 69730 69870 73644 74868 75076 78090 79186 82365 83676 88502 92055 93160 93585 93845 98914 100558 104120 104329 104595 106063 109820 112614 118541 118779 122740 124780 131784 132487 132753 134689 139460 139740 147288 148371 149736 150152 150837 156180 158372 164730 167352 177004 184110 187170 187690 197828 197965 201116 208658 209190 212126 219640 221255 225228 237082 237558 245480 247285 249560 251395 264974 265506 269378 278920 279480 281535 296742 301674 312360 312987 316744 318189 319073 329460 354008 355623 356611 368220 374340 375380 395656 395930 397461 402232 404067 417316 418380 424252 442510 450456 474164 475116 494570 502790 521645 529948 530315 531012 538756 563070 592705 593484 593895 603348 625974 636378 638146 658920 662435 663765 673445 711246 713222 736440 741855 748680 750760 752267 754185 791860 794922 808134 834632 836760 840769 848504 854743 885020 948328 950232 955301 957219 989140 1005580 1043290 1059896 1060630 1062024 1069833 1077512 1126140 1185410 1186968 1187790 1206696 1251948 1272756 1276292 1324870 1327530 1346890 1422492 1426444 1483710 1504534 1508370 1564935 1583720 1589844 1590945 1595365 1616268 1681538 1709486 1770040 1778115 1783055 1910602 1914438 1978280 1987305 2011160 2015197 2020335 2086580 2121260 2139666 2252279 2252280 2256801 2289713 2370820 2375580 2503896 2522307 2545512 2552584 2559091 2564229 2649740 2655060 2693780 2844984 2852888 2865903 2967420 3009068 3016740 3129870 3179688 3181890 3190730 3232536 3363076 3418972 3556230 3566110 3761335 3821204 3828876 3974610 4030394 4040670 4173160 4203845 4242520 4273715 4279332 4504558 4513602 4579426 4741640 4751160 4776505 4786095 5044614 5118182 5128458 5299480 5310120 5349165 5387560 5424241 5731806 5934840 6018136 6033480 6045591 6062387 6259740 6363780 6381460 6726152 6756837 6775609 6837944 6869139 6888223 7112460 7132220 7522670 7642408 7657752 7677273 7949220 8060788 8081340 8407690 8547430 8558664 9009116 9027204 9158852 9553010 9572190 10075985 10089228 10236364 10256916 10698330 10848482 11261395 11284005 11448565 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5258932005 5332741577 5521639780 5834727480 5874453003 5916618392 5960122939 5972089341 6171244460 6183634740 6273813620 6612691144 6625967736 6661313873 6674688087 6911121180 7011909340 7025987460 7395772990 7405493352 7459945509 7528576344 7583933523 7832604004 7852574220 7962785788 8265863930 8282459670 8414291208 8874927588 8899584116 9256866690 9410720430 9790755005 9919036716 9946594012 9953482235 10111911364 10491115582 10517864010 10665483154 11043279560 11093659485 11124480145 11748906006 11920245878 11944178682 12342488920 12367269480 12398795895 12433242515 12547627240 12639889205 13322627746 13349376174 13822242360 14023818680 14051968681 14051974920 14791545980 14919891018 15167867046 15665208008 15705148440 15736673373 15925571576 15998224731 16531727860 16564919340 17749855176 17799168232 17880368817 18513733380 18821440860 19581510010 19838073432 19893188024 19906964470 19983941619 20223822728 20982231164 21035728020 21330966308 22187318970 22248960290 23497812012 23840491756 23888357364 24797591790 24866485030 25279778410 26227788955 26645255492 26663707885 26698752348 28103937362 29372265015 29583091960 29800614695 29839782036 29860446705 30335734092 31473346746 31996449462 33063455720 33129838680 33306569365 33373440435 35760737634 37027466760 37299727545 37642881720 37823232493 37919667615 39163020020 39813928940 39967883238 41964462328 42071456040 42155906043 42273024551 42661932616 42975623297 44374637940 44497920580 46995624024 47680983512 47776714728 48031578979 49595183580 49732970060 50559556820 52455577910 53290510984 53327415770 53397504696 56207874724 58744530030 59601229390 59679564072 59720893410 60671468184 62946693492 63992898924 66613138730 66746880870 70259843405 71521475268 74599455090 75646464986 75839335230 78326040040 78683366865 79627857880 79935766476 79991123655 84311812086 84546049102 85951246594 88749275880 88995841160 89401844085 96063157958 99190367160 99465940120 99919708095 101119113640 101322089963 104911155820 106654831540 112415749448 113242335841 113469697479 117489060060 119202458780 119441786820 125893386984 126819073653 127985797848 128926869891 133226277460 133493761740 140519686810 143042950536 144094736937 149198910180 151292929972 151678670460 157366733730 159871532952 159982247310 168623624172 169092098204 171902493188 178803688170 189116162465 192126315916 199839416190 202644179926 209822311640 210779530215 211365122755 213309663080 214878116485 226484671682 226939394958 234978120120 238404917560 238883573640 240157894895 253638147306 257853739782 266452554920 266987523480 281039373620 288189473874 298397820360 302585859944 303357340920 303966269889 314733467460 319964494620 337247248344 338184196408 339727007523 343804986376 357607376340 378232324930 384252631832 399678832380 405288359852 421559060430 422730245510 429756232970 452969343364 453878789916 480315789790 506610449815 507276294612 515707479564 562078747240 566211679205 567348487395 576378947748 607932539778 629466934920 634095368265 639928989240 644634349455 679454015046 715214752680 718641417367 720473684685 730585596049 756464649860 799357664760 810576719704 816536842643 843118120860 845460491020 859512465940 905938686728 907757579832 912600000601 960631579580 1013220899630 1014552589224 1031414959128 1132423358410 1134696974790 1152757895496 1215865079556 1268190736530 1289268698910 1358908030092 1437282834734 1440947369370 1461171192098 1512929299720 1519831349445 1633073685286 1686236241720 1690920982040 1698635037615 1719024931880 1825200001202 1921263159160 1925119709297 2026441799260 2155924252101 2191756788147 2264846716820 2269393949580 2431730159112 2449610527929 2536381473060 2578537397820 2717816060184 2737800001803 2874565669468 2881894738740 2922342384196 3039662698890 3266147370572 3397270075230 3593207086835 3650400002404 3652927980245 3850239418594 4052883598520 4082684213215 4311848504202 4383513576294 4529693433640 4538787899160 4563000003005 4899221055858 5072762946120 5157074795640 5475600003606 5749131338936 5763789477480 5775359127891 5844684768392 6079325397780 6532294741144 6794540150460 7186414173670 7300800004808 7305855960490 7700478837188 8165368426430 8623697008404 8767027152588 9126000006010 9625598546485 9798442111716 10779621260505 10951200007212 10958783940735 11550718255782 12158650795560 12248052639645 13589080300920 13689000009015 13881126324931 14372828347340 14611711920980 15400957674376 15514200010217 16330736852860 17247394016808 17534054305176 18252000012020 19251197092970 19596884223432 21559242521010 21902400014424 21917567881470 23101436511564 24496105279290 27378000018030 27762252649862 28745656694680 28876795639455 29223423841960 31028400020434 32661473705720 36504000024040 38502394185940 41643378974793 43118485042020 43835135762940 46202873023128 46542600030651 48992210558580 54756000036060 55524505299724 57753591278910 62056800040868 69405631624655 77004788371880 77571000051085 83286757949586 86236970084040 87670271525880 93085200061302 97984421117160 109512000072120 111049010599448 115507182557820 124113600081736 138811263249310 155142000102170 166573515899172 186170400122604 208216894873965 231014365115640 232713000153255 263741400173689 277622526498620 310284000204340 333147031798344 372340800245208 416433789747930 465426000306510 527482800347378 555245052997240 620568000408680 791224200521067 832867579495860 930852000613020 1054965600694756 1318707000868445 1582448401042134 1665735158991720 1861704001226040 2109931201389512 2637414001736890 3164896802084268 3956121002605335 5274828003473780 6329793604168536 7912242005210670 10549656006947560 15824484010421340 31648968020842680
- Sum of all divisors σ(n): 107524040232215880
- Sum of proper divisors (its aliquot sum) s(n): 75875072211373200
- 31648968020842680 is an abundant number, because the sum of its proper divisors (75875072211373200) is greater than itself. Its abundance is 44226104190530520
Bases of 31648968020842680
- Binary: 11100000111000010010001100110000110001111011000101110002
- Hexadecimal: 0x7070919863D8B8
- Base-36: 8NMMF6VGYBC
Squares and roots of 31648968020842680
- 31648968020842680 squared (316489680208426802) is 1001657176784322625142897309582400
- 31648968020842680 cubed (316489680208426803) is 31701415955894589670242617870872833859686896832000
-
The
square root of 31648968020842680 is 177901568.3484625157 -
The
cube root of 31648968020842680 is 316315.0466552051
Scales and comparisons
How big is 31648968020842680?- 31,648,968,020,842,680 seconds is equal to 1,006,339,286 years, 19 weeks, 4 days, 5 hours, 38 minutes.
-
To count from 1 to 31,648,968,020,842,680 would take you about three billion, nineteen million, seventeen thousand, eight hundred fifty-nine 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 31648968020842680 cubic inches would be around 26359.6 feet tall.
Recreational maths with 31648968020842680
- 31648968020842680 backwards is 08624802086984613
- The number of decimal digits it has is: 17
- The sum of 31648968020842680's digits is 75
- More coming soon!
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"Number 31648968020842680 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 31648968020842680 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/31648968020842680/
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The information we have on file for 31648968020842680 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 31648968020842680, math, Factors of 31648968020842680, curriculum, school, college, exams, university, Prime factorization of 31648968020842680, STEM, science, technology, engineering, physics, economics, calculator, thirty-one quadrillion, six hundred forty-eight trillion, nine hundred sixty-eight billion, twenty million, eight hundred forty-two thousand, six hundred eighty.