3428146842912
3,428,146,842,912 is an even composite number composed of eight prime numbers multiplied together.
3428146842912 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 3428146842912:
25 × 32 × 11 × 37 × 41 × 43 × 53 × 313
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 37 × 41 × 43 × 53 × 313)See below for interesting mathematical facts about the number 3428146842912 from the Numbermatics database.
Names of 3428146842912
- Cardinal: 3428146842912 can be written as Three trillion, four hundred twenty-eight billion, one hundred forty-six million, eight hundred forty-two thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 3.428146842912 × 1012
Factors of 3428146842912
Divisors of 3428146842912
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 41 43 44 48 53 66 72 74 82 86 88 96 99 106 111 123 129 132 144 148 159 164 172 176 198 212 222 246 258 264 288 296 313 318 328 333 344 352 369 387 396 407 424 444 451 473 477 492 516 528 583 592 626 636 656 666 688 738 774 792 814 848 888 902 939 946 954 984 1032 1056 1166 1184 1221 1252 1272 1312 1332 1353 1376 1419 1476 1517 1548 1584 1591 1628 1696 1749 1763 1776 1804 1878 1892 1908 1961 1968 2064 2173 2279 2332 2442 2504 2544 2664 2706 2817 2838 2952 3034 3096 3168 3182 3256 3443 3498 3526 3552 3608 3663 3756 3784 3816 3922 3936 4059 4128 4257 4346 4551 4558 4664 4773 4884 5008 5088 5247 5289 5328 5412 5634 5676 5883 5904 6068 6192 6364 6512 6519 6837 6886 6996 7052 7216 7326 7512 7568 7632 7844 8118 8514 8692 9102 9116 9328 9546 9768 10016 10329 10494 10578 10656 10824 11268 11352 11581 11766 11808 12136 12384 12728 12833 13024 13038 13459 13653 13674 13772 13992 14104 14319 14432 14652 15024 15136 15264 15688 15867 16236 16589 16687 17028 17384 17501 17649 18204 18232 18656 19092 19393 19536 19557 20511 20658 20988 21156 21571 21648 22536 22704 23162 23532 23903 24272 25069 25456 25666 26076 26918 27306 27348 27544 27984 28208 28638 29304 30048 30987 31376 31734 32472 33178 33374 34056 34743 34768 35002 35298 36408 36464 38184 38499 38786 39072 39114 40377 41022 41316 41976 42312 43142 43296 45072 45408 46324 47064 47806 48544 49767 50061 50138 50912 51332 52152 52503 53836 54612 54696 55088 55968 56416 57276 58179 58608 61974 62752 63468 64713 64944 65231 66356 66748 68112 69486 69536 70004 70596 71709 72816 72928 75207 76368 76998 77572 78228 80401 80754 82044 82632 83952 84323 84624 86284 90144 92648 93439 94128 95612 99534 100122 100276 102664 104229 104304 105006 107672 109224 109392 110176 114552 115497 116358 117216 121131 123948 126936 127391 129426 129888 130462 132712 133496 136224 138972 140008 141163 141192 143418 145632 148049 149301 150183 150414 152736 153996 155144 156456 157509 160802 161508 164088 165264 167904 168646 169248 172568 174537 182479 185296 186878 188256 191224 194139 195693 199068 200244 200552 205328 208458 208608 210012 215127 215344 218448 218784 225621 229104 230994 232716 241203 242262 247896 252969 253872 254782 258852 260924 265424 266992 277944 280016 280317 282326 282384 286836 296098 298602 300366 300828 307992 310288 312912 315018 321604 323016 328176 330528 337292 345136 349074 364958 370592 373756 382173 382448 388278 391386 398136 400488 401104 410656 416916 420024 423489 430254 430688 436896 444147 451242 458208 461988 465432 474821 482406 484524 495792 497983 505938 507744 509564 517704 521848 530848 533984 547437 551819 555888 560032 560634 564652 564768 573672 587079 592196 597204 600732 601656 613793 615984 620576 625824 630036 643208 646032 656352 674584 680149 690272 698148 713327 717541 723609 729916 747512 758907 764346 764896 776556 782772 796272 800976 802208 833832 840048 840951 846978 860508 884411 888294 902484 923976 927553 930864 949642 964812 969048 991584 995966 1011876 1019128 1027829 1035408 1043696 1094874 1103638 1111776 1121268 1129304 1146519 1147344 1174158 1184392 1194408 1201464 1203312 1227586 1231968 1260072 1270467 1286416 1292064 1332441 1349168 1360298 1396296 1424463 1426654 1435082 1447218 1459832 1493949 1495024 1517814 1528692 1553112 1565544 1592544 1601952 1642311 1655457 1667664 1680096 1681902 1693956 1721016 1768822 1776588 1804968 1841379 1847952 1855106 1861728 1899284 1929624 1938096 1991932 2023752 2038256 2040447 2055658 2070816 2087392 2139981 2152623 2189748 2207276 2242536 2258608 2293038 2294688 2348316 2368784 2388816 2402928 2406624 2455172 2520144 2540934 2572832 2653233 2664882 2698336 2720596 2782659 2792592 2848926 2853308 2870164 2894436 2919664 2987898 2990048 3035628 3057384 3083487 3106224 3131088 3284622 3310914 3335328 3363804 3387912 3442032 3457243 3537644 3553176 3609936 3682758 3695904 3710212 3798568 3859248 3876192 3983864 4047504 4076512 4080894 4111316 4273389 4279962 4305246 4379496 4414552 4481847 4485072 4517216 4586076 4696632 4737568 4777632 4805856 4910344 4966371 5040288 5081868 5223031 5306466 5329764 5441192 5477813 5524137 5565318 5585184 5697852 5706616 5740328 5788872 5839328 5975796 6070009 6071256 6114768 6121341 6166974 6212448 6262176 6419943 6457869 6569244 6621828 6727608 6751723 6775824 6884064 6914486 7075288 7106352 7219872 7365516 7420424 7481639 7597136 7718496 7846597 7959699 7967728 8095008 8161788 8222632 8347977 8546778 8559924 8610492 8758992 8829104 8963694 8970144 9172152 9250461 9393264 9820688 9932742 10163736 10371729 10446062 10612932 10659528 10882384 10955626 11048274 11130636 11395704 11413232 11480656 11577744 11951592 12140018 12142512 12229536 12242682 12333948 12839886 12915738 13138488 13243656 13455216 13503446 13551648 13828972 14150576 14212704 14731032 14840848 14963278 15194272 15669093 15693194 15919398 15935456 16323576 16433439 16445264 16695954 17093556 17119848 17220984 17517984 17658208 17927388 18210027 18344304 18500922 18786528 19641376 19865484 20255169 20327472 20417303 20743458 20892124 21225864 21319056 21764768 21911252 22096548 22261272 22444917 22791408 22826464 22961312 23155488 23539791 23903184 24280036 24285024 24485364 24667896 25165513 25679772 25831476 26276976 26393099 26487312 26910432 27006892 27657944 28301152 29246407 29462064 29681696 29926556 31115187 31338186 31386388 31838796 32647152 32866878 32890528 33391908 34187112 34239696 34441968 35854776 36420054 36688608 37001844 38029673 39730968 40510338 40654944 40834606 41486916 41784248 42451728 42638112 43822504 44193096 44522544 44889834 45582816 47007279 47079582 47806368 48560072 48970728 49300317 49335792 50331026 51359544 51662952 52553952 52786198 52974624 54013784 54630081 55315888 58492814 58924128 59853112 60765507 61251909 62230374 62676372 62772776 63677592 65294304 65733756 66783816 67334751 68374224 68479392 68883936 70619373 71709552 72840108 74003688 75496539 76059346 79179297 79461936 81020676 81669212 82973832 83568496 84903456 87645008 87739221 88386192 89045088 89779668 94014558 94159164 97120144 97941456 98600634 98671584 100662052 102719088 103325904 105572396 108027568 109260162 110631776 114089019 116985628 119706224 121531014 122503818 124460748 125352744 125545552 127355184 131467512 133567632 134669502 136748448 141238746 143419104 145680216 148007376 150993078 152118692 158358594 158923872 162041352 163338424 165947664 167136992 175290016 175478442 176772384 179559336 183755727 188029116 188318328 194240288 195882912 197201268 201324104 205438176 206651808 211144792 216055136 218520324 224590333 226489617 228178038 233971256 237537891 239412448 243062028 245007636 248921496 250705488 251091104 254710368 262935024 263217663 267135264 269339004 276820643 282477492 290324089 291360432 296014752 301986156 304237384 316717188 321710477 324082704 326676848 331895328 342267057 350956884 359118672 367511454 376058232 376636656 394402536 402648208 422289584 437040648 449180666 452979234 456356076 467942512 475075782 486124056 490015272 497842992 501410976 525870048 526435326 538678008 553641286 564954984 580648178 582720864 603972312 608474768 633434376 643420954 648165408 653353696 673770999 684534114 701913768 718237344 735022908 752116464 753273312 788805072 805296416 830461929 844579168 870972267 874081296 898361332 905958468 912712152 935885024 950151564 965131431 972248112 980030544 995685984 1052870652 1077356016 1082117059 1107282572 1129909968 1161296356 1207944624 1216949536 1266868752 1286841908 1347541998 1369068228 1403827536 1470045816 1504232928 1577610144 1660923858 1741944534 1748162592 1796722664 1811916936 1825424304 1900303128 1930262862 1944496224 1960061088 2021312997 2105741304 2154712032 2164234118 2214565144 2259819936 2322592712 2415889248 2491385787 2533737504 2573683816 2612916801 2695083996 2738136456 2807655072 2895394293 2940091632 3246351177 3321847716 3483889068 3593445328 3623833872 3650848608 3800606256 3860525724 4042625994 4211482608 4328468236 4429130288 4645185424 4982771574 5147367632 5225833602 5390167992 5476272912 5790788586 5880183264 6492702354 6643695432 6967778136 7186890656 7247667744 7601212512 7721051448 8085251988 8422965216 8656936472 8858260576 9290370848 9739053531 9965543148 10294735264 10451667204 10780335984 10952545824 11581577172 11903287649 12985404708 13287390864 13935556272 15442102896 16170503976 17313872944 19478107062 19931086296 20903334408 21560671968 23163154344 23806575298 25970809416 26574781728 27871112544 30884205792 32341007952 34627745888 35709862947 38956214124 39862172592 41806668816 46326308688 47613150596 51941618832 64682015904 71419725894 77912428248 79724345184 83613337632 92652617376 95226301192 103883237664 107129588841 142839451788 155824856496 190452602384 214259177682 285678903576 311649712992 380905204768 428518355364 571357807152 857036710728 1142715614304 1714073421456 3428146842912
- Sum of all divisors σ(n): 11702377919232
- Sum of proper divisors (its aliquot sum) s(n): 8274231076320
- 3428146842912 is an abundant number, because the sum of its proper divisors (8274231076320) is greater than itself. Its abundance is 4846084233408
Bases of 3428146842912
- Binary: 1100011110001011010111100110001101001000002
- Hexadecimal: 0x31E2D798D20
- Base-36: 17QVA4940
Squares and roots of 3428146842912
- 3428146842912 squared (34281468429122) is 11752190776567512804639744
- 3428146842912 cubed (34281468429123) is 40288235707989444609249873019119894528
-
The
square root of 3428146842912 is 1851525.5447635607 -
The
cube root of 3428146842912 is 15078.3263505261
Scales and comparisons
How big is 3428146842912?- 3,428,146,842,912 seconds is equal to 109,004 years, 24 weeks, 1 day, 11 hours, 55 minutes, 12 seconds.
-
To count from 1 to 3,428,146,842,912 would take you about two hundred seventy-two thousand, five hundred eleven 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 3428146842912 cubic inches would be around 1256.5 feet tall.
Recreational maths with 3428146842912
- 3428146842912 backwards is 2192486418243
- The number of decimal digits it has is: 13
- The sum of 3428146842912's digits is 54
- More coming soon!
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The information we have on file for 3428146842912 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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