4136428606464
4,136,428,606,464 is an even composite number composed of seven prime numbers multiplied together.
What does the number 4136428606464 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2376 divisors.
4136428606464 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 4136428606464:
210 × 32 × 72 × 112 × 17 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 11 × 17 × 61 × 73)See below for interesting mathematical facts about the number 4136428606464 from the Numbermatics database.
Names of 4136428606464
- Cardinal: 4136428606464 can be written as Four trillion, one hundred thirty-six billion, four hundred twenty-eight million, six hundred six thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 4.136428606464 × 1012
Factors of 4136428606464
Divisors of 4136428606464
- Number of divisors d(n): 2376
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 28 32 33 34 36 42 44 48 49 51 56 61 63 64 66 68 72 73 77 84 88 96 98 99 102 112 119 121 122 126 128 132 136 144 146 147 153 154 168 176 183 187 192 196 198 204 219 224 231 238 242 244 252 256 264 272 288 292 294 306 308 336 352 357 363 366 374 384 392 396 408 427 438 441 448 462 476 484 488 504 511 512 528 539 544 549 561 576 584 588 612 616 657 671 672 693 704 714 726 732 748 768 784 792 803 816 833 847 854 876 882 896 924 952 968 976 1008 1022 1024 1037 1056 1071 1078 1088 1089 1098 1122 1152 1168 1176 1224 1232 1241 1281 1309 1314 1342 1344 1386 1408 1428 1452 1464 1496 1533 1536 1568 1584 1606 1617 1632 1666 1683 1694 1708 1752 1764 1792 1848 1904 1936 1952 2013 2016 2044 2057 2074 2112 2142 2156 2176 2178 2196 2244 2304 2336 2352 2409 2448 2464 2482 2499 2541 2562 2618 2628 2684 2688 2772 2816 2856 2904 2928 2989 2992 3066 3072 3111 3136 3168 3212 3234 3264 3332 3366 3388 3416 3504 3528 3577 3584 3696 3723 3808 3843 3872 3904 3927 4026 4032 4088 4114 4148 4224 4284 4312 4352 4356 4392 4453 4488 4599 4608 4672 4697 4704 4818 4851 4896 4928 4964 4998 5082 5124 5236 5256 5368 5376 5544 5621 5632 5712 5808 5856 5929 5978 5984 6039 6132 6171 6222 6272 6336 6424 6468 6528 6664 6732 6776 6832 7008 7056 7154 7168 7227 7259 7381 7392 7446 7497 7616 7623 7686 7744 7808 7854 8052 8064 8176 8228 8296 8448 8568 8624 8687 8704 8712 8784 8833 8906 8967 8976 9163 9198 9216 9333 9344 9394 9408 9636 9702 9792 9856 9928 9996 10164 10248 10472 10512 10731 10736 10752 11088 11169 11242 11264 11407 11424 11616 11712 11781 11858 11956 11968 12078 12264 12342 12444 12544 12672 12848 12936 13056 13328 13359 13464 13552 13651 13664 14016 14091 14112 14308 14399 14454 14518 14762 14784 14892 14994 15232 15246 15372 15488 15616 15708 16104 16128 16352 16456 16592 16863 16896 17136 17248 17374 17408 17424 17568 17666 17787 17812 17934 17952 18326 18396 18513 18666 18688 18788 18816 19272 19404 19584 19712 19856 19992 20328 20496 20944 21024 21462 21472 21504 21777 22143 22176 22338 22484 22814 22848 23232 23424 23562 23716 23912 23936 24156 24528 24684 24888 25088 25344 25696 25872 26061 26112 26499 26656 26718 26901 26928 27104 27302 27328 27489 28032 28182 28224 28616 28798 28908 29036 29524 29568 29784 29988 30464 30492 30744 30976 31171 31232 31416 32193 32208 32256 32704 32879 32912 33184 33726 33792 34221 34272 34496 34748 34848 35136 35332 35574 35624 35868 35904 36652 36792 37026 37332 37376 37576 37632 38544 38808 39168 39347 39424 39712 39984 40077 40656 40953 40992 41888 42048 42273 42924 42944 43197 43554 44286 44352 44676 44968 45628 45696 46464 46848 47124 47432 47824 47872 48312 48983 49056 49368 49776 50176 50589 50688 50813 51392 51667 51744 52122 52224 52998 53312 53361 53436 53802 53856 54208 54604 54656 54978 56064 56364 56448 57232 57596 57816 58072 59048 59136 59568 59976 60809 60928 60984 61488 61831 61952 62342 62464 62832 64386 64416 64512 65331 65408 65758 65824 66368 66429 67452 68442 68544 68992 69496 69696 70272 70664 71148 71248 71736 71808 73304 73584 74052 74664 74752 75152 75264 75701 77088 77616 78183 78336 78694 78848 79424 79497 79849 79968 80154 81312 81906 81984 82467 83776 84096 84546 85848 85888 86394 87108 88572 88704 89352 89936 91256 91392 92928 93513 93696 94248 94864 95557 95648 95744 96624 97966 98112 98637 98736 99552 100793 101178 101376 101626 102663 102784 103334 103488 104244 105996 106624 106722 106872 107604 107712 108416 109208 109312 109956 112128 112728 112896 114464 115192 115632 116144 118041 118096 118272 119136 119952 121618 121856 121968 122859 122976 123662 123904 124684 125477 125664 128772 128832 129591 130662 130816 131516 131648 132736 132858 134904 136884 137088 137984 138992 139392 140544 141328 142296 142496 143472 143616 146608 146949 147168 148104 149328 150161 150304 150528 151402 152439 154176 155001 155232 156366 156672 157388 158848 158994 159698 159936 160308 162624 163812 163968 164934 167552 168192 169092 171696 171776 172788 174216 177144 177408 178704 179872 182427 182512 182784 185493 185856 187026 187392 188496 189728 191114 191296 191488 193248 195932 196224 197274 197472 199104 201586 202356 203252 205326 205568 206668 206976 208488 211992 213248 213444 213744 215208 215424 216832 218197 218416 218624 219912 224256 225456 225792 227103 228928 230384 231264 232288 236082 236192 236544 238272 239547 239904 243236 243936 245718 245952 247324 249368 250954 251328 257544 257664 259182 261324 261632 263032 263296 265472 265716 269808 273768 274176 275968 277984 278784 280539 281088 282656 284592 284992 286671 286944 287232 293216 293898 294336 295911 296208 298656 300322 300608 302379 302804 304878 308352 310002 310464 312732 314776 317696 317988 319396 319872 320616 325248 327624 327936 329868 335104 336384 338184 342881 343392 343552 345576 348432 354123 354288 354816 357408 359744 361669 364854 365024 365568 370986 371712 374052 376431 376992 379456 382228 382592 386496 391864 392448 394548 394944 398208 403172 404712 406504 410652 411136 413336 413952 416976 423984 426496 426888 427488 430416 430848 432817 433664 436394 436832 437248 439824 440847 450483 450912 451584 454206 457317 457856 460768 462528 464576 465003 472164 472384 476544 479094 479808 486472 487872 491436 491904 494648 498736 501908 502656 515088 515328 518364 522648 523264 526064 526592 529907 530944 531432 538813 539616 547281 547536 548352 551936 555968 556479 557568 558943 561078 562176 565312 569184 569984 573342 573888 574464 586432 587796 588672 591822 592416 597312 600644 601216 604758 605608 609756 616704 620004 620928 625464 629552 635392 635976 638792 639744 641232 650496 654591 655248 655872 659736 668899 670208 672768 676368 681309 685762 686784 687104 691152 696864 708246 708576 709632 714816 718641 719488 723338 729708 730048 741972 748104 752862 753984 758912 764456 765184 772992 783728 784896 789096 789888 796416 806344 809424 813008 821304 822272 826672 827904 832711 833952 847968 852992 853776 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90520584 90655488 91986048 92587264 93263632 93402624 94972416 95757312 96321456 96366336 97850368 98373968 98749728 100908192 101004288 101742144 103212032 103452096 104160672 104921586 105126912 105607348 106587008 107317056 109917852 110081664 110670714 110801152 111716864 112427392 112856832 115208016 115323648 116113536 116276736 117073152 117726224 118699168 119040768 119910384 120694112 120873984 122408517 122648064 124651296 125681472 125807616 126480816 128237494 128428608 128488448 131666304 132442002 132701184 133536564 134544256 135656192 135780876 137936128 138880896 139895448 140103936 142458624 143089408 143635968 144549504 146557136 146775552 147560952 150475776 151362288 151506432 152613216 153610688 153764864 154818048 155178144 156097536 158411022 158721024 159880512 160975584 163211356 164876778 166201728 167575296 168641088 171238144 172812024 172985472 174415104 175555072 176589336 178048752 181041168 181310976 183972096 185174528 186527264 186805248 189944832 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1220905728 1228885504 1241425152 1267288176 1279044096 1287804672 1305690848 1319014224 1329613824 1346493687 1349128704 1382496192 1383883776 1412714688 1424390016 1448329344 1468902204 1492218112 1538849928 1541143296 1573983488 1579995648 1614531072 1627874304 1655233536 1666570752 1678745376 1689717568 1717072896 1758685632 1770731424 1795324916 1843328256 1883619584 1899186688 1900932264 1918566144 1931105792 1958536272 1994420736 2010903552 2023693056 2051799904 2054857728 2119072032 2136585024 2172494016 2238327168 2308274892 2344914176 2360975232 2421796608 2441811456 2457771008 2482850304 2534576352 2558088192 2575609344 2611381696 2638028448 2692987374 2698257408 2764992384 2825429376 2848780032 2896658688 2937804408 2984436224 3077699856 3082286592 3147966976 3159991296 3229062144 3333141504 3357490752 3379435136 3517371264 3541462848 3590649832 3686656512 3767239168 3798373376 3801864528 3837132288 3862211584 3917072544 3988841472 4039481061 4047386112 4103599808 4238144064 4273170048 4344988032 4476654336 4616549784 4689828352 4721950464 4843593216 4883622912 4965700608 5069152704 5151218688 5222763392 5276056896 5385974748 5529984768 5650858752 5697560064 5793317376 5875608816 5968872448 6155399712 6164573184 6295933952 6714981504 6758870272 7034742528 7082925696 7181299664 7373313024 7534478336 7603729056 7674264576 7834145088 8078962122 8094772224 8207199616 8476288128 8546340096 8689976064 8953308672 9233099568 9379656704 9443900928 9687186432 10138305408 10445526784 10552113792 10771949496 11059969536 11301717504 11395120128 11586634752 11751217632 12310799424 13429963008 13517740544 14069485056 14165851392 14362599328 15207458112 15668290176 16157924244 16414399232 16952576256 17092680192 17379952128 17906617344 18466199136 18887801856 20276610816 20891053568 21104227584 21543898992 22119939072 22603435008 23502435264 24621598848 26859926016 27035481088 28138970112 28331702784 28725198656 30414916224 31336580352 32315848488 32828798464 33905152512 34185360384 34759904256 36932398272 40553221632 41782107136 42208455168 43087797984 47004870528 49243197696 53719852032 56663405568 57450397312 60829832448 62673160704 64631696976 65657596928 67810305024 73864796544 81106443264 84416910336 86175595968 94009741056 98486395392 114900794624 121659664896 125346321408 129263393952 147729593088 172351191936 188019482112 196972790784 229801589248 243319329792 258526787904 295459186176 344702383872 376038964224 459603178496 517053575808 590918372352 689404767744 1034107151616 1378809535488 2068214303232 4136428606464
- Sum of all divisors σ(n): 16660330248744
- Sum of proper divisors (its aliquot sum) s(n): 12523901642280
- 4136428606464 is an abundant number, because the sum of its proper divisors (12523901642280) is greater than itself. Its abundance is 8387473035816
Bases of 4136428606464
- Binary: 1111000011000101100101101110010100000000002
- Hexadecimal: 0x3C3165B9400
- Base-36: 1GS8YSJK0
Squares and roots of 4136428606464
- 4136428606464 squared (41364286064642) is 17110041616373708982583296
- 4136428606464 cubed (41364286064643) is 70774465599757747131874102320084025344
-
The
square root of 4136428606464 is 2033821.1835026205 -
The
cube root of 4136428606464 is 16052.4691632645
Scales and comparisons
How big is 4136428606464?- 4,136,428,606,464 seconds is equal to 131,525 years, 33 weeks, 2 hours, 14 minutes, 24 seconds.
-
To count from 1 to 4,136,428,606,464 would take you about three hundred twenty-eight thousand, eight hundred fourteen 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 4136428606464 cubic inches would be around 1337.7 feet tall.
Recreational maths with 4136428606464
- 4136428606464 backwards is 4646068246314
- The number of decimal digits it has is: 13
- The sum of 4136428606464's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 4136428606464 - Facts about the integer". Numbermatics.com. 2024. Web. 26 June 2024.
APA style:
Numbermatics. (2024). Number 4136428606464 - Facts about the integer. Retrieved 26 June 2024, from https://numbermatics.com/n/4136428606464/
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Numbermatics. 2024. "Number 4136428606464 - Facts about the integer". https://numbermatics.com/n/4136428606464/
The information we have on file for 4136428606464 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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