12428435314944
12,428,435,314,944 is an even composite number composed of five prime numbers multiplied together.
12428435314944 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 12428435314944:
28 × 34 × 11 × 314 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 31 × 31 × 31 × 31 × 59)See below for interesting mathematical facts about the number 12428435314944 from the Numbermatics database.
Names of 12428435314944
- Cardinal: 12428435314944 can be written as Twelve trillion, four hundred twenty-eight billion, four hundred thirty-five million, three hundred fourteen thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.2428435314944 × 1013
Factors of 12428435314944
Divisors of 12428435314944
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 59 62 64 66 72 81 88 93 96 99 108 118 124 128 132 144 162 176 177 186 192 198 216 236 248 256 264 279 288 297 324 341 352 354 372 384 396 432 472 496 528 531 558 576 594 648 649 682 704 708 744 768 792 837 864 891 944 961 992 1023 1056 1062 1116 1152 1188 1296 1298 1364 1408 1416 1488 1584 1593 1674 1728 1782 1829 1888 1922 1947 1984 2046 2112 2124 2232 2304 2376 2511 2592 2596 2728 2816 2832 2883 2976 3069 3168 3186 3348 3456 3564 3658 3776 3844 3894 3968 4092 4224 4248 4464 4752 4779 5022 5184 5192 5456 5487 5664 5766 5841 5952 6138 6336 6372 6696 6912 7128 7316 7552 7688 7788 7936 8184 8448 8496 8649 8928 9207 9504 9558 10044 10368 10384 10571 10912 10974 11328 11532 11682 11904 12276 12672 12744 13392 14256 14632 15104 15376 15576 16368 16461 16992 17298 17523 17856 18414 19008 19116 20088 20119 20736 20768 21142 21824 21948 22656 23064 23364 23808 24552 25344 25488 25947 26784 27621 28512 29264 29791 30752 31152 31713 32736 32922 33984 34596 35046 35712 36828 38016 38232 40176 40238 41536 42284 43648 43896 45312 46128 46728 49104 49383 50976 51894 52569 53568 55242 56699 57024 58528 59582 60357 61504 62304 63426 65472 65844 67968 69192 70092 71424 73656 76032 76464 77841 80352 80476 83072 84568 87296 87792 89373 92256 93456 95139 98208 98766 101952 103788 105138 107136 110484 113398 114048 117056 119164 120714 123008 124608 126852 130944 131688 135936 138384 140184 147312 148149 152928 155682 160704 160952 166144 169136 170097 175584 178746 181071 184512 186912 190278 196416 197532 203904 207576 210276 214272 220968 226796 228096 234112 238328 241428 246016 249216 253704 261888 263376 268119 276768 280368 285417 294624 296298 305856 311364 321408 321904 327701 338272 340194 351168 357492 362142 369024 373824 380556 392832 395064 407808 415152 420552 441936 453592 468224 476656 482856 498432 507408 510291 526752 536238 543213 553536 560736 570834 589248 592596 611712 622728 623689 642816 643808 655402 676544 680388 702336 714984 724284 738048 747648 761112 785664 790128 804357 830304 841104 856251 883872 907184 923521 953312 965712 983103 1014816 1020582 1053504 1072476 1086426 1107072 1121472 1141668 1178496 1185192 1223424 1245456 1247378 1287616 1310804 1353088 1360776 1404672 1429968 1448568 1495296 1522224 1530873 1580256 1608714 1629639 1660608 1682208 1712502 1757669 1767744 1814368 1847042 1871067 1906624 1931424 1966206 2029632 2041164 2107008 2144952 2172852 2214144 2242944 2283336 2356992 2370384 2413071 2490912 2494756 2575232 2621608 2706176 2721552 2770563 2859936 2897136 2949309 3044448 3061746 3160512 3217428 3259278 3321216 3364416 3425004 3515338 3535488 3628736 3694084 3742134 3813248 3862848 3932412 4059264 4082328 4214016 4289904 4345704 4485888 4566672 4592619 4740768 4826142 4981824 4989512 5150464 5243216 5273007 5443104 5541126 5613201 5719872 5794272 5898618 6088896 6123492 6321024 6434856 6518556 6642432 6728832 6850008 7030676 7070976 7257472 7388168 7484268 7626496 7725696 7864824 8118528 8164656 8311689 8579808 8691408 8847927 9133344 9185238 9481536 9652284 9963648 9979024 10158731 10486432 10546014 10886208 11082252 11226402 11439744 11588544 11797236 12177792 12246984 12642048 12869712 13037112 13457664 13700016 14061352 14514944 14776336 14968536 15451392 15729648 15819021 16329312 16623378 16839603 17159616 17382816 17695854 18266688 18370476 18963072 19304568 19334359 19927296 19958048 20317462 20972864 21092028 21772416 22164504 22452804 22879488 23177088 23594472 24355584 24493968 24935067 25739424 26074224 26543781 27400032 28122704 29552672 29937072 30476193 31459296 31638042 32658624 33246756 33679206 34319232 34765632 35391708 36533376 36740952 37926144 38609136 38668718 39916096 40634924 41945728 42184056 43544832 44329008 44905608 46354176 47188944 47457063 48987936 49870134 50518809 51478848 52148448 53087562 54487739 54800064 56245408 58003077 59105344 59874144 60952386 62918592 63276084 65317248 66493512 67358412 68638464 69531264 70783416 73066752 73481904 74805201 77218272 77337436 79832192 81269848 83891456 84368112 88658016 89811216 91428579 94377888 94914126 97975872 99740268 101037618 102957696 104296896 106175124 108975478 109600128 112490816 116006154 118210688 119748288 121904772 125837184 126552168 130634496 132987024 134716824 139062528 141566832 142371189 146963808 149610402 154436544 154674872 159664384 162539696 163463217 168736224 174009231 177316032 179622432 182857158 188755776 189828252 195951744 199480536 202075236 205915392 208593792 212350248 217950956 219200256 224981632 232012308 236421376 239496576 243809544 251674368 253104336 265974048 269433648 274285737 283133664 284742378 293927616 299220804 308873088 309349744 325079392 326926434 337472448 348018462 354632064 359244864 365714316 377511552 379656504 391903488 398961072 404150472 417187584 424700496 435901912 449963264 464024616 478993152 487619088 490389651 506208672 522027693 531948096 538867296 548571474 566267328 569484756 587855232 598441608 599365129 617746176 618699488 650158784 653852868 674944896 696036924 709264128 718489728 731428632 755023104 759313008 797922144 808300944 822857211 849400992 871803824 928049232 975238176 980779302 1012417344 1044055386 1063896192 1077734592 1097142948 1132534656 1138969512 1175710464 1196883216 1198730258 1237398976 1300317568 1307705736 1349889792 1392073848 1436979456 1462857264 1471168953 1518626016 1566083079 1595844288 1616601888 1645714422 1698801984 1743607648 1798095387 1856098464 1950476352 1961558604 2024834688 2088110772 2127792384 2155469184 2194285896 2265069312 2277939024 2393766432 2397460516 2474797952 2600635136 2615411472 2784147696 2925714528 2942337906 3037252032 3132166158 3191688576 3233203776 3291428844 3397603968 3487215296 3596190774 3712196928 3900952704 3923117208 4049669376 4176221544 4310938368 4388571792 4413506859 4555878048 4787532864 4794921032 4949595904 5230822944 5394286161 5568295392 5851429056 5884675812 6074504064 6264332316 6383377152 6466407552 6582857688 6795207936 6974430592 7192381548 7424393856 7801905408 7846234416 8352443088 8777143584 8827013718 9111756096 9575065728 9589842064 10461645888 10788572322 11136590784 11702858112 11769351624 12149008128 12528664632 12932815104 13165715376 13948861184 14384763096 14848787712 15692468832 16182858483 16704886176 17554287168 17654027436 18223512192 19150131456 19179684128 20923291776 21577144644 22273181568 23405716224 23538703248 25057329264 26331430752 28769526192 31384937664 32365716966 33409772352 35108574336 35308054872 36447024384 38359368256 41846583552 43154289288 44546363136 47077406496 48548575449 50114658528 52662861504 57539052384 62769875328 64731433932 66819544704 70217148672 70616109744 76718736512 86308578576 94154812992 97097150898 100229317056 105325723008 115078104768 125539750656 129462867864 133639089408 141232219488 153437473024 172617157152 188309625984 194194301796 200458634112 210651446016 230156209536 258925735728 282464438976 345234314304 376619251968 388388603592 400917268224 460312419072 517851471456 564928877952 690468628608 776777207184 1035702942912 1129857755904 1380937257216 1553554414368 2071405885824 3107108828736 4142811771648 6214217657472 12428435314944
- Sum of all divisors σ(n): 42484055367600
- Sum of proper divisors (its aliquot sum) s(n): 30055620052656
- 12428435314944 is an abundant number, because the sum of its proper divisors (30055620052656) is greater than itself. Its abundance is 17627184737712
Bases of 12428435314944
- Binary: 101101001101101110000111100011011001000000002
- Hexadecimal: 0xB4DB878D900
- Base-36: 4ELJLHS00
Squares and roots of 12428435314944
- 12428435314944 squared (124284353149442) is 154466004377747164469723136
- 12428435314944 cubed (124284353149443) is 1919770743766687362791466430524643344384
-
The
square root of 12428435314944 is 3525398.6036963253 -
The
cube root of 12428435314944 is 23163.5695300893
Scales and comparisons
How big is 12428435314944?- 12,428,435,314,944 seconds is equal to 395,185 years, 41 weeks, 3 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 12,428,435,314,944 would take you about nine hundred eighty-seven thousand, nine 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 12428435314944 cubic inches would be around 1930.3 feet tall.
Recreational maths with 12428435314944
- 12428435314944 backwards is 44941353482421
- 12428435314944 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12428435314944's digits is 54
- More coming soon!
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The information we have on file for 12428435314944 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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