3468428720640
3,468,428,720,640 is an even composite number composed of seven prime numbers multiplied together.
3468428720640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 3468428720640:
29 × 32 × 5 × 13 × 31 × 97 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 31 × 97 × 3851)See below for interesting mathematical facts about the number 3468428720640 from the Numbermatics database.
Names of 3468428720640
- Cardinal: 3468428720640 can be written as Three trillion, four hundred sixty-eight billion, four hundred twenty-eight million, seven hundred twenty thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.46842872064 × 1012
Factors of 3468428720640
Divisors of 3468428720640
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 39 40 45 48 52 60 62 64 65 72 78 80 90 93 96 97 104 117 120 124 128 130 144 155 156 160 180 186 192 194 195 208 234 240 248 256 260 279 288 291 310 312 320 360 372 384 388 390 403 416 465 468 480 485 496 512 520 558 576 582 585 620 624 640 720 744 768 776 780 806 832 873 930 936 960 970 992 1040 1116 1152 1164 1170 1209 1240 1248 1261 1280 1395 1440 1455 1488 1536 1552 1560 1612 1664 1746 1860 1872 1920 1940 1984 2015 2080 2232 2304 2328 2340 2418 2480 2496 2522 2560 2790 2880 2910 2976 3007 3104 3120 3224 3328 3492 3627 3720 3744 3783 3840 3851 3880 3968 4030 4160 4365 4464 4608 4656 4680 4836 4960 4992 5044 5580 5760 5820 5952 6014 6045 6208 6240 6305 6448 6656 6984 7254 7440 7488 7566 7680 7702 7760 7936 8060 8320 8730 8928 9021 9312 9360 9672 9920 9984 10088 11160 11349 11520 11553 11640 11904 12028 12090 12416 12480 12610 12896 13968 14508 14880 14976 15035 15132 15404 15520 15872 16120 16640 17460 17856 18042 18135 18624 18720 18915 19255 19344 19840 19968 20176 22320 22698 23040 23106 23280 23808 24056 24180 24832 24960 25220 25792 27063 27936 29016 29760 29952 30070 30264 30808 31040 32240 33280 34659 34920 35712 36084 36270 37248 37440 37830 38510 38688 39091 39680 40352 44640 45105 45396 46212 46560 47616 48112 48360 49664 49920 50063 50440 51584 54126 55872 56745 57765 58032 59520 59904 60140 60528 61616 62080 64480 69318 69840 71424 72168 72540 74496 74880 75660 77020 77376 78182 79360 80704 89280 90210 90792 92424 93120 96224 96720 99840 100126 100880 103168 108252 111744 113490 115530 116064 117273 119040 119381 120280 121056 123232 124160 128960 135315 138636 139680 142848 144336 145080 148992 149760 150189 151320 154040 154752 156364 161408 173295 178560 180420 181584 184848 186240 192448 193440 195455 200252 201760 206336 216504 223488 226980 231060 232128 234546 238080 238762 240560 242112 246464 248320 250315 257920 270630 277272 279360 288672 290160 299520 300378 302640 308080 309504 312728 322816 346590 351819 357120 358143 360840 363168 369696 372480 373547 384896 386880 390910 400504 403520 433008 446976 450567 453960 462120 464256 469092 477524 481120 484224 492928 500630 515840 541260 554544 558720 577344 580320 586365 596905 600756 605280 616160 619008 625456 645632 693180 703638 714240 716286 721680 726336 739392 744960 747094 750945 769792 773760 781820 801008 807040 866016 901134 907920 924240 928512 938184 955048 962240 968448 985856 1001260 1031680 1074429 1082520 1109088 1117440 1120641 1154688 1160640 1172730 1193810 1201512 1210560 1232320 1250912 1386360 1407276 1432572 1443360 1452672 1478784 1494188 1501890 1539584 1547520 1551953 1563640 1602016 1614080 1732032 1759095 1790715 1802268 1815840 1848480 1857024 1867735 1876368 1910096 1924480 1936896 1971712 2002520 2148858 2165040 2218176 2234880 2241282 2252835 2309376 2321280 2345460 2387620 2403024 2421120 2464640 2501824 2772720 2814552 2865144 2886720 2905344 2957568 2988376 3003780 3095040 3103906 3127280 3204032 3228160 3361923 3464064 3518190 3581430 3604536 3631680 3696960 3735470 3752736 3820192 3848960 4005040 4297716 4330080 4436352 4482564 4505670 4618752 4642560 4655859 4690920 4775240 4806048 4842240 4856111 4929280 5003648 5372145 5545440 5603205 5629104 5730288 5773440 5810688 5915136 5976752 6007560 6207812 6254560 6408064 6723846 6928128 7036380 7162860 7209072 7263360 7393920 7470940 7505472 7640384 7697920 7759765 8010080 8595432 8660160 8872704 8965128 9011340 9285120 9311718 9381840 9550480 9612096 9684480 9712222 9858560 10007296 10744290 11090880 11206410 11258208 11460576 11546880 11579957 11953504 12015120 12415624 12509120 12816128 13447692 13856256 13967577 14072760 14325720 14418144 14526720 14568333 14787840 14941880 15010944 15280768 15519530 16020160 16809615 17190864 17320320 17745408 17930256 18022680 18623436 18763680 19100960 19224192 19424444 20014592 21488580 22181760 22412820 22516416 22921152 23093760 23159914 23279295 23907008 24030240 24280555 24831248 25018240 25632256 26895384 27935154 28145520 28651440 28836288 29053440 29136666 29575680 29883760 30021888 30561536 31039060 32040320 33619230 34381728 34640640 34739871 35860512 36045360 37246872 37527360 38201920 38448384 38848888 42977160 43704999 44363520 44825640 45032832 45842304 46319828 46558590 47814016 48060480 48561110 49662496 50036480 53790768 55870308 56291040 57302880 57672576 57899785 58273332 59767520 60043776 61123072 62078120 64080640 67238460 68763456 69281280 69479742 69837885 71721024 72090720 72841665 74493744 75054720 76403840 76896768 77697776 85954320 87409998 88727040 89651280 90065664 91684608 92639656 93117180 95628032 96120960 97122220 99324992 100072960 104219613 107581536 111740616 112582080 114605760 115345152 115799570 116546664 119535040 124156240 128161280 134476920 137526912 138959484 139675770 143442048 144181440 145683330 148987488 150109440 150539441 152807680 155395552 171908640 173699355 174819996 179302560 180131328 183369216 185279312 186234360 191256064 192241920 194244440 198649984 208439226 215163072 218524995 223481232 225164160 229211520 230690304 231599140 233093328 239070080 248312480 268953840 275053824 277918968 279351540 286884096 288362880 291366660 297974976 300218880 301078882 305615360 310791104 343817280 347398710 349639992 358605120 370558624 372468720 384483840 388488880 397299968 416878452 430326144 437049990 446962464 450328320 451618323 458423040 463198280 466186656 478140160 496624960 521098065 537907680 550107648 555837936 558703080 573768192 576725760 582733320 595949952 602157764 621582208 687634560 694797420 699279984 717210240 741117248 744937440 752697205 776977760 794599936 833756904 860652288 874099980 893924928 900656640 903236646 916846080 926396560 932373312 956280320 993249920 1042196130 1075815360 1111675872 1117406160 1153451520 1165466640 1191899904 1204315528 1243164416 1354854969 1375269120 1389594840 1398559968 1434420480 1482234496 1489874880 1505394410 1553955520 1667513808 1721304576 1748199960 1787849856 1806473292 1852793120 1864746624 1986499840 2084392260 2151630720 2223351744 2234812320 2258091615 2330933280 2383799808 2408631056 2486328832 2709709938 2750538240 2779189680 2797119936 2868840960 2964468992 2979749760 3010788820 3107911040 3335027616 3496399920 3575699712 3612946584 3705586240 3729493248 3972999680 4168784520 4303261440 4446703488 4469624640 4516183230 4661866560 4817262112 5419419876 5558379360 5594239872 5928937984 5959499520 6021577640 6215822080 6670055232 6774274845 6992799840 7151399424 7225893168 7411172480 7458986496 8337569040 8606522880 8893406976 8939249280 9032366460 9323733120 9634524224 10838839752 11116758720 11188479744 11918999040 12043155280 12431644160 13340110464 13548549690 13985599680 14451786336 14822344960 16675138080 17786813952 17878498560 18064732920 18647466240 19269048448 21677679504 22233517440 22376959488 24086310560 26680220928 27097099380 27971199360 28903572672 29644689920 33350276160 35756997120 36129465840 37294932480 38538096896 43355359008 44467034880 48172621120 53360441856 54194198760 55942398720 57807145344 66700552320 72258931680 77076193792 86710718016 88934069760 96345242240 108388397520 111884797440 115614290688 133401104640 144517863360 173421436032 192690484480 216776795040 231228581376 266802209280 289035726720 346842872064 385380968960 433553590080 578071453440 693685744128 867107180160 1156142906880 1734214360320 3468428720640
- Sum of all divisors σ(n): 13494618289152
- Sum of proper divisors (its aliquot sum) s(n): 10026189568512
- 3468428720640 is an abundant number, because the sum of its proper divisors (10026189568512) is greater than itself. Its abundance is 6557760847872
Bases of 3468428720640
- Binary: 1100100111100011100111011000111010000000002
- Hexadecimal: 0x3278E763A00
- Base-36: 189DGWOW0
Squares and roots of 3468428720640
- 3468428720640 squared (34684287206402) is 12029997790160427162009600
- 3468428720640 cubed (34684287206403) is 41725189844628157561884862939398144000
-
The
square root of 3468428720640 is 1862371.7997864981 -
The
cube root of 3468428720640 is 15137.1549975537
Scales and comparisons
How big is 3468428720640?- 3,468,428,720,640 seconds is equal to 110,285 years, 15 weeks, 5 days, 22 hours, 24 minutes.
-
To count from 1 to 3,468,428,720,640 would take you about two hundred seventy-five thousand, seven hundred thirteen 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 3468428720640 cubic inches would be around 1261.4 feet tall.
Recreational maths with 3468428720640
- 3468428720640 backwards is 0460278248643
- The number of decimal digits it has is: 13
- The sum of 3468428720640's digits is 54
- More coming soon!
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The information we have on file for 3468428720640 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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