13705985968920
13,705,985,968,920 is an even composite number composed of seven prime numbers multiplied together.
13705985968920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13705985968920:
23 × 35 × 5 × 7 × 17 × 67 × 176857
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 17 × 67 × 176857)See below for interesting mathematical facts about the number 13705985968920 from the Numbermatics database.
Names of 13705985968920
- Cardinal: 13705985968920 can be written as Thirteen trillion, seven hundred five billion, nine hundred eighty-five million, nine hundred sixty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.370598596892 × 1013
Factors of 13705985968920
Divisors of 13705985968920
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 27 28 30 34 35 36 40 42 45 51 54 56 60 63 67 68 70 72 81 84 85 90 102 105 108 119 120 126 134 135 136 140 153 162 168 170 180 189 201 204 210 216 238 243 252 255 268 270 280 306 315 324 335 340 357 360 378 402 405 408 420 459 469 476 486 504 510 536 540 567 595 603 612 630 648 670 680 714 756 765 804 810 840 918 938 945 952 972 1005 1020 1071 1080 1134 1139 1190 1206 1215 1224 1260 1340 1377 1407 1428 1512 1530 1608 1620 1701 1785 1809 1836 1876 1890 1944 2010 2040 2142 2268 2278 2295 2345 2380 2412 2430 2520 2680 2754 2814 2835 2856 3015 3060 3213 3240 3402 3417 3570 3618 3672 3752 3780 4020 4131 4221 4284 4536 4556 4590 4690 4760 4824 4860 5355 5427 5508 5628 5670 5695 6030 6120 6426 6804 6834 6885 7035 7140 7236 7560 7973 8040 8262 8442 8505 8568 9045 9112 9180 9380 9639 9720 10251 10710 10854 11016 11256 11340 11390 12060 12663 12852 13608 13668 13770 14070 14280 14472 15946 16065 16281 16524 16884 17010 17085 18090 18360 18760 19278 20502 20655 21105 21420 21708 22680 22780 23919 24120 25326 25704 27135 27336 27540 28140 28917 30753 31892 32130 32562 33048 33768 34020 34170 36180 37989 38556 39865 41004 41310 42210 42840 43416 45560 47838 48195 50652 51255 54270 55080 56280 57834 61506 63315 63784 64260 65124 68040 68340 71757 72360 75978 77112 79730 81405 82008 82620 84420 92259 95676 96390 101304 102510 108540 113967 115668 119595 123012 126630 128520 130248 136680 143514 144585 151956 153765 159460 162810 165240 168840 176857 184518 189945 191352 192780 205020 215271 217080 227934 231336 239190 246024 253260 276777 287028 289170 303912 307530 318920 325620 353714 358785 369036 379890 385560 410040 430542 455868 461295 478380 506520 530571 553554 569835 574056 578340 615060 645813 651240 707428 717570 738072 759780 861084 884285 911736 922590 956760 1061142 1076355 1107108 1139670 1156680 1230120 1237999 1291626 1383885 1414856 1435140 1519560 1591713 1722168 1768570 1845180 1937439 2122284 2152710 2214216 2279340 2475998 2583252 2652855 2767770 2870280 3006569 3183426 3229065 3537140 3690360 3713997 3874878 4244568 4305420 4558680 4775139 4951996 5166504 5305710 5535540 6013138 6189995 6366852 6458130 7074280 7427994 7749756 7958565 8610840 9019707 9550278 9687195 9903992 10611420 11071080 11141991 11849419 12026276 12379990 12733704 12916260 14325417 14855988 15032845 15499512 15917130 18039414 18569985 19100556 19374390 21045983 21222840 22283982 23698838 23875695 24052552 24759980 25832520 27059121 28650834 29711976 30065690 31834260 33425973 35548257 36078828 37139970 38201112 38748780 42091966 42976251 44567964 45098535 47397676 47751390 49519960 54118242 55709955 57301668 59247095 60131380 63137949 63668520 66851946 71096514 71627085 72157656 74279940 77497560 81177363 82945933 84183932 85952502 89135928 90197070 94795352 95502780 100277919 105229915 106644771 108236484 111419910 114603336 118494190 120262760 126275898 133703892 135295605 142193028 143254170 148559880 162354726 165891866 167129865 168367864 171905004 177741285 180394140 189413847 191005560 200555838 201440123 210459830 213289542 214881255 216472968 222839820 236988380 243532089 248837799 252551796 267407784 270591210 284386056 286508340 300833757 315689745 319934313 324709452 331783732 334259730 343810008 355482570 360788280 378827694 401111676 402880246 405886815 414729665 420919660 426579084 429762510 445679640 473976760 487064178 497675598 501389595 505103592 533223855 541182420 568241541 573016680 601667514 604320369 631379490 639868626 649418904 663567464 668519460 710965140 730596267 746513397 757655388 802223352 805760492 811773630 829459330 841839320 853158168 859525020 947069235 959802939 974128356 995351196 1002779190 1007200615 1066447710 1082364840 1136483082 1203335028 1208640738 1217660445 1244188995 1262758980 1279737252 1337038920 1410080861 1421930280 1461192534 1493026794 1504168785 1515310776 1599671565 1611520984 1623547260 1658918660 1704724623 1719050040 1812961107 1894138470 1919605878 1948256712 1990702392 2005558380 2014401230 2132895420 2239540191 2272966164 2406670056 2417281476 2435320890 2488377990 2525517960 2559474504 2820161722 2841207705 2879408817 2922385068 2986053588 3008337570 3021601845 3199343130 3247094520 3317837320 3409449246 3625922214 3652981335 3732566985 3788276940 3839211756 4011116760 4028802460 4230242583 4265790840 4479080382 4545932328 4799014695 4834562952 4870641780 4976755980 5114173869 5438883321 5640323444 5682415410 5758817634 5844770136 5972107176 6016675140 6043203690 6398686260 6718620573 6818898492 7050404305 7251844428 7305962670 7465133970 7576553880 7678423512 8057604920 8460485166 8523623115 8958160764 9064805535 9598029390 9741283560 9953511960 10228347738 10877766642 11197700955 11280646888 11364830820 11517635268 12033350280 12086407380 12690727749 12797372520 13437241146 13637796984 14100808610 14397044085 14503688856 14611925340 14930267940 16316649963 16920970332 17047246230 17916321528 18129611070 19196058780 20155861719 20456695476 21151212915 21755533284 22395401910 22729661640 23035270536 24172814760 25381455498 25570869345 26874482292 27194416605 28201617220 28794088170 29223850680 29860535880 32633299926 33593102865 33841940664 34094492460 36259222140 38072183247 38392117560 40311723438 40913390952 42302425830 43511066568 44790803820 48949949889 50762910996 51141738690 53748964584 54388833210 56403234440 57588176340 63453638745 65266599852 67186205730 68188984920 72518444280 76144366494 80623446876 81583249815 84604851660 89581607640 97899899778 100779308595 101525821992 102283477380 108777666420 114216549741 115176352680 126907277490 130533199704 134372411460 152288732988 161246893752 163166499630 169209703320 190360916235 195799799556 201558617190 204566954760 217555332840 228433099482 244749749445 253814554980 268744822920 304577465976 326332999260 342649649223 380721832470 391599599112 403117234380 456866198964 489499498890 507629109960 571082748705 652665998520 685299298446 761443664940 806234468760 913732397928 978998997780 1142165497410 1370598596892 1522887329880 1713248246115 1957997995560 2284330994820 2741197193784 3426496492230 4568661989640 6852992984460 13705985968920
- Sum of all divisors σ(n): 56733556239360
- Sum of proper divisors (its aliquot sum) s(n): 43027570270440
- 13705985968920 is an abundant number, because the sum of its proper divisors (43027570270440) is greater than itself. Its abundance is 29321584301520
Bases of 13705985968920
- Binary: 110001110111001011000110110011001011000110002
- Hexadecimal: 0xC772C6CCB18
- Base-36: 4UWFY61I0
Squares and roots of 13705985968920
- 13705985968920 squared (137059859689202) is 187854051380231911205966400
- 13705985968920 cubed (137059859689203) is 2574724992422235334844610794588964288000
-
The
square root of 13705985968920 is 3702159.6357963821 -
The
cube root of 13705985968920 is 23931.5095732803
Scales and comparisons
How big is 13705985968920?- 13,705,985,968,920 seconds is equal to 435,807 years, 49 weeks, 5 days, 20 hours, 42 minutes.
-
To count from 1 to 13,705,985,968,920 would take you about one million, eighty-nine thousand, five hundred nineteen 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 13705985968920 cubic inches would be around 1994.3 feet tall.
Recreational maths with 13705985968920
- 13705985968920 backwards is 02986958950731
- 13705985968920 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13705985968920's digits is 72
- More coming soon!
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