3420015064128
3,420,015,064,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 3420015064128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 756 divisors.
3420015064128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 3420015064128:
26 × 32 × 13 × 232 × 892 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 23 × 89 × 89 × 109)See below for interesting mathematical facts about the number 3420015064128 from the Numbermatics database.
Names of 3420015064128
- Cardinal: 3420015064128 can be written as Three trillion, four hundred twenty billion, fifteen million, sixty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 3.420015064128 × 1012
Factors of 3420015064128
Divisors of 3420015064128
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 89 92 96 104 109 117 138 144 156 178 184 192 207 208 218 234 267 276 288 299 312 327 356 368 414 416 436 468 529 534 552 576 598 624 654 712 736 801 828 832 872 897 936 981 1058 1068 1104 1157 1196 1248 1308 1417 1424 1472 1587 1602 1656 1744 1794 1872 1962 2047 2116 2136 2208 2314 2392 2496 2507 2616 2691 2834 2848 3174 3204 3312 3471 3488 3588 3744 3924 4094 4232 4251 4272 4416 4628 4761 4784 5014 5232 5382 5668 5696 6141 6348 6408 6624 6877 6942 6976 7176 7488 7521 7848 7921 8188 8464 8502 8544 9256 9522 9568 9701 10028 10413 10464 10764 11336 12282 12696 12753 12816 13248 13754 13884 14352 15042 15696 15842 16376 16928 17004 17088 18423 18512 19044 19136 19402 20056 20631 20826 20928 21528 22563 22672 23763 24564 25392 25506 25632 26611 27508 27768 28704 29103 30084 31392 31684 32591 32752 33856 34008 36846 37024 38088 38804 40112 41262 41652 43056 45126 45344 47081 47526 49128 50784 51012 51264 53222 55016 55536 57408 57661 58206 60168 61893 62784 63368 65182 65504 68016 71289 73692 74048 76176 77608 79833 80224 82524 83304 86112 87309 90252 90688 94162 95052 97773 98256 101568 102024 102973 106444 110032 111072 115322 116412 120336 123786 126113 126736 130364 131008 136032 141243 142578 147384 152352 155216 159666 160448 165048 166608 172224 172983 174618 180504 182183 188324 190104 195546 196512 204048 205946 212888 220064 222144 223123 230644 232824 239499 240672 247572 252226 253472 260728 272064 282486 285156 293319 294768 304704 308919 310432 319332 330096 333216 345966 349236 361008 364366 376648 378339 380208 391092 393024 408096 411892 423729 425776 440128 446246 461288 465648 478998 481344 495144 504452 506944 518949 521456 546549 564972 570312 586638 589536 612053 617838 620864 638664 660192 666432 669369 691932 698472 722016 728732 749593 753296 756678 760416 782184 816192 823784 847458 851552 863389 892492 922576 926757 931296 957996 990288 1008904 1037898 1042912 1093098 1129944 1135017 1140624 1173276 1179072 1224106 1235676 1277328 1320384 1338738 1383864 1396944 1444032 1457464 1499186 1506592 1513356 1520832 1564368 1639647 1647568 1694916 1703104 1726778 1784984 1836159 1845152 1853514 1862592 1915992 1980576 2008107 2017808 2075796 2085824 2186196 2248779 2259888 2270034 2281248 2346552 2368379 2448212 2471352 2554656 2590167 2677476 2767728 2793888 2900599 2914928 2998372 3013184 3026712 3128736 3279294 3295136 3389832 3453556 3569968 3672318 3690304 3707028 3831984 3961152 4016214 4035616 4151592 4190209 4372392 4497558 4519776 4540068 4562496 4693104 4736758 4896424 4942704 5109312 5131829 5180334 5354952 5508477 5535456 5587776 5801198 5829856 5996744 6053424 6257472 6558588 6590272 6746337 6779664 6907112 7105137 7139936 7344636 7414056 7663968 7770501 8032428 8071232 8303184 8380418 8701797 8744784 8995116 9039552 9080136 9386208 9473516 9792848 9885408 10263658 10360668 10709904 11016954 11070912 11224057 11602396 11659712 11993488 12106848 12570627 13117176 13492674 13559328 13814224 14210274 14279872 14689272 14828112 15327936 15395487 15541002 16064856 16606368 16760836 17403594 17489568 17990232 18160272 18772416 18947032 19585696 19770816 19857947 20527316 20721336 21315411 21419808 22033908 22448114 23204792 23986976 24213696 25141254 26105391 26234352 26985348 27118656 27628448 28420548 29378544 29656224 30790974 31082004 32129712 33212736 33521672 33672171 34807188 34979136 35980464 36320544 37711881 37894064 39171392 39715894 41054632 41442672 42630822 42839616 44067816 44896228 46186461 46409584 47973952 50282508 52210782 52468704 53970696 54472717 55256896 56841096 58757088 59312448 59573841 61581948 62164008 64259424 66713777 67043344 67344342 69614376 71960928 72641088 75423762 75788128 79431788 82109264 82885344 85261644 88135632 89792456 92372922 92819168 100565016 101016513 104421564 104937408 107941392 108945434 113682192 117514176 119147682 123163896 124328016 128518848 133427554 134086688 134688684 139228752 143921856 150847524 151576256 158863576 163418151 164218528 165770688 170523288 176271264 178721523 179584912 184745844 185638336 200141331 201130032 202033026 208843128 215882784 217890868 227364384 238295364 246327792 248656032 258153311 266855108 268173376 269377368 278457504 301695048 317727152 326836302 328437056 341046576 352542528 357443046 359169824 369491688 400282662 402260064 404066052 417686256 431765568 435781736 454728768 456732781 476590728 490254453 492655584 497312064 516306622 533710216 538754736 556915008 600423993 603390096 635454304 653672604 682093152 714886092 718339648 738983376 774459933 800565324 804520128 808132104 835372512 871563472 913465562 953181456 980508906 985311168 1032613244 1067420432 1077509472 1200847986 1206780192 1270908608 1307345208 1364186304 1370198343 1429772184 1477966752 1548919866 1601130648 1616264208 1670745024 1743126944 1826931124 1906362912 1961017812 2065226488 2134840864 2155018944 2323379799 2401695972 2413560384 2614690416 2740396686 2859544368 2955933504 3097839732 3202261296 3232528416 3486253888 3653862248 3812725824 3922035624 4110595029 4130452976 4269681728 4646759598 4803391944 5229380832 5480793372 5719088736 5937526153 6195679464 6404522592 6465056832 7307724496 7844071248 8221190058 8260905952 9293519196 9606783888 10458761664 10961586744 11438177472 11875052306 12391358928 12809045184 14615448992 15688142496 16442380116 16521811904 17812578459 18587038392 19213567776 21923173488 23750104612 24782717856 29230897984 31376284992 32884760232 35625156918 37174076784 38427135552 43846346976 47500209224 49565435712 53437735377 65769520464 71250313836 74348153568 87692693952 95000418448 106875470754 131539040928 142500627672 148696307136 190000836896 213750941508 263078081856 285001255344 380001673792 427501883016 570002510688 855003766032 1140005021376 1710007532064 3420015064128
- Sum of all divisors σ(n): 11263663230820
- Sum of proper divisors (its aliquot sum) s(n): 7843648166692
- 3420015064128 is an abundant number, because the sum of its proper divisors (7843648166692) is greater than itself. Its abundance is 4423633102564
Bases of 3420015064128
- Binary: 1100011100010010001100100001110100010000002
- Hexadecimal: 0x31C48C87440
- Base-36: 17N4SO0G0
Squares and roots of 3420015064128
- 3420015064128 squared (34200150641282) is 11696503038862447952400384
- 3420015064128 cubed (34200150641283) is 40002216590528501810099661577291825152
-
The
square root of 3420015064128 is 1849328.2737599617 -
The
cube root of 3420015064128 is 15066.3946668345
Scales and comparisons
How big is 3420015064128?- 3,420,015,064,128 seconds is equal to 108,745 years, 46 weeks, 5 days, 16 hours, 28 minutes, 48 seconds.
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To count from 1 to 3,420,015,064,128 would take you about two hundred seventy-one thousand, eight hundred sixty-four 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 3420015064128 cubic inches would be around 1255.5 feet tall.
Recreational maths with 3420015064128
- 3420015064128 backwards is 8214605100243
- 3420015064128 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3420015064128's digits is 36
- More coming soon!
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