13006022408016
13,006,022,408,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 13006022408016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
13006022408016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13006022408016:
24 × 3 × 113 × 172 × 312 × 733
(2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 17 × 17 × 31 × 31 × 733)See below for interesting mathematical facts about the number 13006022408016 from the Numbermatics database.
Names of 13006022408016
- Cardinal: 13006022408016 can be written as Thirteen trillion, six billion, twenty-two million, four hundred eight thousand and sixteen.
Scientific notation
- Scientific notation: 1.3006022408016 × 1013
Factors of 13006022408016
Divisors of 13006022408016
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 22 24 31 33 34 44 48 51 62 66 68 88 93 102 121 124 132 136 176 186 187 204 242 248 264 272 289 341 363 372 374 408 484 496 527 528 561 578 682 726 733 744 748 816 867 961 968 1023 1054 1122 1156 1331 1364 1452 1466 1488 1496 1581 1734 1922 1936 2046 2057 2108 2199 2244 2312 2662 2728 2883 2904 2932 2992 3162 3179 3468 3751 3844 3993 4092 4114 4216 4398 4488 4624 5324 5456 5766 5797 5808 5864 6171 6324 6358 6936 7502 7688 7986 8063 8184 8228 8432 8796 8959 8976 9537 10571 10648 11253 11532 11594 11728 12342 12461 12648 12716 13872 15004 15376 15972 16126 16337 16368 16456 17391 17592 17918 19074 21142 21296 22506 22627 22723 23064 23188 24189 24684 24922 25296 25432 26877 30008 31713 31944 32252 32674 32912 34782 34969 35184 35836 37383 38148 41261 42284 45012 45254 45446 46128 46376 48378 49011 49368 49844 50864 53754 60016 63426 63767 63888 64504 65348 67881 68169 69564 69938 71672 74766 76296 82522 84568 88693 90024 90508 90892 92752 96756 98022 98549 98736 99688 104907 107508 116281 123783 126852 127534 129008 130696 135762 136338 137071 139128 139876 143344 149532 152592 165044 169136 177386 179707 180048 181016 181784 191301 193512 196044 197098 199376 209814 211837 215016 232562 247566 249953 253704 255068 261392 266079 271524 272676 274142 277729 278256 279752 295647 299064 330088 348843 354772 359414 362032 363568 382602 384659 386291 387024 392088 394196 411213 419628 423674 430032 465124 495132 499906 507408 510136 532158 539121 543048 545352 548284 555458 559504 591294 598128 635511 660176 697686 701437 704413 709544 718828 749859 765204 769318 772582 784176 788392 822426 833187 839256 847348 930248 975623 990264 999812 1020272 1064316 1078242 1084039 1086096 1090704 1096568 1110916 1153977 1158873 1182588 1271022 1279091 1395372 1402874 1408826 1419088 1437656 1499718 1507781 1530408 1538636 1545164 1576784 1644852 1666374 1678512 1694696 1860496 1951246 1976777 1980528 1999624 2104311 2113239 2128632 2156484 2168078 2193136 2221832 2307954 2317746 2330207 2365176 2542044 2558182 2749483 2790744 2805748 2817652 2875312 2926869 2999436 3015562 3055019 3060816 3077272 3090328 3252117 3289704 3332748 3389392 3837273 3902492 3953554 3999248 4208622 4226478 4249201 4257264 4312968 4336156 4443664 4523343 4615908 4635492 4660414 4730352 5084088 5116364 5498966 5581488 5611496 5635304 5853738 5930331 5998872 6031124 6110038 6154544 6180656 6504234 6566947 6579408 6665496 6990621 7674546 7748543 7804984 7907108 8248449 8417244 8452956 8498402 8625936 8672312 9046686 9165057 9231816 9270984 9320828 10168176 10232728 10997932 11222992 11270608 11707476 11860662 11924429 11975021 11997744 12062248 12220076 12747603 13008468 13133894 13330992 13981242 15349092 15497086 15609968 15814216 16496898 16585591 16834488 16905912 16996804 17344624 18093372 18330114 18463632 18541968 18641656 19700841 20465456 21744547 21995864 23245629 23414952 23721324 23848858 23950042 24124496 24440152 25495206 25632277 26016936 26267788 27962484 30244313 30698184 30994172 31628432 32993796 33171182 33605209 33668976 33811824 33993608 35773287 35925063 36186744 36660228 37283312 39401682 43489094 43991728 46491258 46741211 46829904 47442648 47697716 47900084 48880304 49756773 50990412 51264554 52033872 52535576 55924968 60488626 61396368 61988344 65233641 65987592 66342364 67210418 67987216 71546574 71850126 72236417 72373488 73320456 76896831 78803364 85233973 86978188 90732939 92982516 93482422 94885296 95395432 95800168 99513546 100815627 101980824 102529108 105071152 111849936 120977252 123976688 130467282 131725231 131975184 132684728 134420836 140223633 143093148 143700252 144472834 146640912 153793662 157606728 170467946 173956376 181465878 185965032 186964844 190790864 191600336 199027092 201631254 203575357 203961648 205058216 216709251 241954504 255701919 260934564 263450462 265369456 268841672 280447266 281955047 286186296 287400504 288945668 307587324 315213456 340935892 347912752 362931756 369657299 371930064 373929688 395175693 398054184 403262508 407150714 410116432 433418502 483909008 511403838 514153321 521869128 526900924 537683344 560894532 563910094 572372592 574801008 577891336 610726071 615174648 681871784 725863512 739314598 747859376 790351386 794600587 796108368 806525016 814301428 845865141 866837004 937573703 1022807676 1028306642 1043738256 1053801848 1108971897 1121789064 1127820188 1155782672 1221452142 1230349296 1363743568 1448977541 1451727024 1478629196 1542459963 1580702772 1589201174 1613050032 1628602856 1691730282 1733674008 1875147406 2045615352 2056613284 2107603696 2217943794 2239328927 2243578128 2255640376 2383801761 2442904284 2812721109 2897955082 2957258392 3084919926 3161405544 3178402348 3257205712 3383460564 3467348016 3750294812 4091230704 4113226568 4346932623 4435887588 4478657854 4511280752 4767603522 4885808568 5625442218 5795910164 5914516784 6169839852 6322811088 6356804696 6717986781 6766921128 7500589624 8226453136 8693865246 8740606457 8871775176 8957315708 9535207044 9771617136 11250884436 11591820328 12339679704 12713609392 13435973562 13533842256 15001179248 15938752951 17387730492 17481212914 17743550352 17914631416 19070414088 22501768872 23183640656 24632618197 24679359408 26221819371 26871947124 31877505902 34775460984 34962425828 35829262832 38140828176 45003537744 47816258853 49265236394 52443638742 53743894248 63755011804 69550921968 69924851656 73897854591 95632517706 98530472788 104887277484 107487788496 127510023608 139849703312 147795709182 191265035412 197060945576 209774554968 255020047216 270958800167 295591418364 382530070824 394121891152 419549109936 541917600334 591182836728 765060141648 812876400501 1083835200668 1182365673456 1625752801002 2167670401336 3251505602004 4335340802672 6503011204008 13006022408016
- Sum of all divisors σ(n): 40620610453824
- Sum of proper divisors (its aliquot sum) s(n): 27614588045808
- 13006022408016 is an abundant number, because the sum of its proper divisors (27614588045808) is greater than itself. Its abundance is 14608565637792
Bases of 13006022408016
- Binary: 101111010100001100110101100001110111010100002
- Hexadecimal: 0xBD433587750
- Base-36: 4LYVTXPAO
Squares and roots of 13006022408016
- 13006022408016 squared (130060224080162) is 169156618877814311181056256
- 13006022408016 cubed (130060224080163) is 2200054775589075251185947639623481348096
-
The
square root of 13006022408016 is 3606386.3364892013 -
The
cube root of 13006022408016 is 23516.9772645741
Scales and comparisons
How big is 13006022408016?- 13,006,022,408,016 seconds is equal to 413,551 years, 14 weeks, 4 days, 18 hours, 13 minutes, 36 seconds.
-
To count from 1 to 13,006,022,408,016 would take you about one million, thirty-three thousand, eight hundred seventy-eight 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 13006022408016 cubic inches would be around 1959.7 feet tall.
Recreational maths with 13006022408016
- 13006022408016 backwards is 61080422060031
- 13006022408016 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13006022408016's digits is 33
- More coming soon!
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