428627985989632
428,627,985,989,632 is an even composite number composed of five prime numbers multiplied together.
What does the number 428627985989632 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
428627985989632 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 428627985989632:
215 × 11 × 132 × 31 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 13 × 31 × 61 × 61 × 61)See below for interesting mathematical facts about the number 428627985989632 from the Numbermatics database.
Names of 428627985989632
- Cardinal: 428627985989632 can be written as Four hundred twenty-eight trillion, six hundred twenty-seven billion, nine hundred eighty-five million, nine hundred eighty-nine thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 4.28627985989632 × 1014
Factors of 428627985989632
Divisors of 428627985989632
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 31 32 44 52 61 62 64 88 104 122 124 128 143 169 176 208 244 248 256 286 338 341 352 403 416 488 496 512 572 671 676 682 704 793 806 832 976 992 1024 1144 1342 1352 1364 1408 1586 1612 1664 1859 1891 1952 1984 2048 2288 2684 2704 2728 2816 3172 3224 3328 3718 3721 3782 3904 3968 4096 4433 4576 5239 5368 5408 5456 5632 6344 6448 6656 7436 7442 7564 7808 7936 8192 8723 8866 9152 10309 10478 10736 10816 10912 11264 12688 12896 13312 14872 14884 15128 15616 15872 16384 17446 17732 18304 20618 20801 20956 21472 21632 21824 22528 24583 25376 25792 26624 29744 29768 30256 31232 31744 32768 34892 35464 36608 40931 41236 41602 41912 42944 43264 43648 45056 48373 49166 50752 51584 53248 57629 59488 59536 60512 62464 63488 69784 70928 73216 81862 82472 83204 83824 85888 86528 87296 90112 96746 98332 101504 103168 106496 113399 115258 115351 118976 119072 121024 124928 126976 139568 141856 146432 163724 164944 166408 167648 171776 173056 174592 180224 193492 196664 203008 206336 212992 226798 226981 230516 230702 237952 238144 242048 249856 253952 270413 279136 283712 292864 319579 327448 329888 332816 335296 343552 346112 349184 360448 386984 393328 406016 412672 425984 453596 453962 461032 461404 475904 476288 484096 499712 507904 532103 540826 558272 567424 585728 628849 639158 654896 659776 665632 670592 687104 692224 698368 773968 786656 812032 825344 907192 907924 922064 922808 951808 952576 968192 999424 1015808 1064206 1081652 1116544 1134848 1171456 1257698 1268861 1278316 1309792 1319552 1331264 1341184 1374208 1384448 1396736 1499563 1547936 1573312 1624064 1650688 1814384 1815848 1844128 1845616 1903616 1905152 1936384 1998848 2128412 2163304 2233088 2269696 2342912 2496791 2515396 2537722 2556632 2619584 2639104 2662528 2682368 2748416 2768896 2793472 2950753 2999126 3095872 3146624 3248128 3301376 3515369 3628768 3631696 3688256 3691232 3807232 3810304 3872768 4256824 4326608 4466176 4539392 4685824 4993582 5030792 5075444 5113264 5239168 5278208 5325056 5364736 5496832 5537792 5586944 5901506 5998252 6191744 6293248 6496256 6602752 6917339 7030738 7036411 7257536 7263392 7376512 7382464 7614464 7620608 7745536 8513648 8653216 8932352 9078784 9987164 10061584 10150888 10226528 10478336 10556416 10650112 10729472 10993664 11173888 11803012 11996504 12383488 12586496 12992512 13205504 13834678 14061476 14072822 14515072 14526784 14753024 14764928 15228928 15241216 15491072 16495193 17027296 17306432 17864704 18157568 19494319 19974328 20123168 20301776 20453056 20956672 21112832 21300224 21458944 21987328 23606024 23993008 24766976 25172992 25985024 27669356 28122952 28145644 29030144 29053568 29506048 29529856 30457856 30482432 30982144 32458283 32990386 34054592 34612864 35729408 36315136 38359789 38988638 39948656 40246336 40603552 40906112 41913344 42225664 42600448 42917888 47212048 47986016 49533952 50345984 55338712 56245904 56291288 58060288 58107136 59012096 59059712 60915712 60964864 61964288 64916566 65980772 68109184 69225728 71458816 72630272 76719578 77400521 77977276 79897312 80492672 81207104 81812224 83826688 84451328 85200896 85835776 91473343 94424096 95972032 99067904 100691968 110677424 112491808 112582576 116120576 116214272 118024192 118119424 121929728 129833132 131961544 136218368 138451456 142917632 145260544 153439156 154801042 155954552 159794624 160985344 162414208 163624448 167653376 168902656 170401792 171671552 182946686 188848192 191944064 198135808 201383936 214437509 221354848 224983616 225165152 232241152 232428544 236048384 236238848 259666264 263923088 272436736 276902912 285835264 306878312 309602084 311909104 319589248 321970688 324828416 327248896 335306752 337805312 340803584 365893372 377696384 383888128 396271616 402767872 421957679 428875018 442709696 449967232 450330304 464482304 464857088 472096768 472477696 519332528 527846176 544873472 553805824 613756624 619204168 623818208 639178496 643941376 649656832 654497792 670613504 681607168 731786744 755392768 767776256 792543232 805535744 843915358 857750036 885419392 899934464 900660608 928964608 929714176 944193536 944955392 1006206773 1038665056 1055692352 1089746944 1107611648 1189153459 1227513248 1238408336 1247636416 1278356992 1287882752 1299313664 1308995584 1341227008 1463573488 1510785536 1535552512 1585086464 1687830716 1715500072 1770838784 1799868928 1801321216 1857929216 1859428352 1888387072 1889910784 2012413546 2077330112 2111384704 2179493888 2215223296 2378306918 2455026496 2476816672 2495272832 2556713984 2575765504 2598627328 2617991168 2927146976 3021571072 3071105024 3375661432 3431000144 3541677568 3599737856 3602642432 3715858432 3718856704 3779821568 4024827092 4154660224 4222769408 4358987776 4430446592 4756613836 4910052992 4953633344 4990545664 5113427968 5151531008 5197254656 5235982336 5854293952 6043142144 6142210048 6751322864 6862000288 7083355136 7199475712 7205284864 7437713408 8049654184 8309320448 8445538816 8717975552 8860893184 9513227672 9820105984 9907266688 9981091328 10226855936 10303062016 10394509312 10471964672 11708587904 12086284288 12284420096 13080688049 13502645728 13724000576 14166710272 14398951424 14410569728 16099308368 16618640896 16891077632 17435951104 19026455344 19640211968 19814533376 19962182656 20453711872 20606124032 20789018624 23417175808 24172568576 24568840192 26161376098 27005291456 27448001152 28333420544 28797902848 28821139456 32198616736 33237281792 33782155264 38052910688 39280423936 39629066752 39924365312 40907423744 41578037248 46834351616 48345137152 49137680384 52322752196 54010582912 54896002304 56666841088 57595805696 57642278912 64397233472 66474563584 67564310528 76105821376 78560847872 79258133504 79848730624 81814847488 93668703232 96690274304 104645504392 108021165824 109792004608 113333682176 115191611392 115284557824 128794466944 132949127168 135128621056 152211642752 157121695744 158516267008 159697461248 187337406464 209291008784 216042331648 219584009216 226667364352 230569115648 257588933888 265898254336 270257242112 304423285504 314243391488 317032534016 319394922496 374674812928 418582017568 432084663296 439168018432 515177867776 531796508672 540514484224 608846571008 628486782976 634065068032 638789844992 749349625856 837164035136 864169326592 878336036864 1030355735552 1063593017344 1217693142016 1256973565952 1268130136064 1498699251712 1674328070272 1728338653184 1756672073728 2060711471104 2435386284032 2536260272128 2997398503424 3348656140544 3456677306368 3513344147456 4121422942208 4870772568064 6697312281088 6913354612736 7026688294912 8242845884416 9741545136128 13394624562176 13826709225472 16485691768832 19483090272256 26789249124352 32971383537664 38966180544512 53578498248704 107156996497408 214313992994816 428627985989632
- Sum of all divisors σ(n): 1062731800097280
- Sum of proper divisors (its aliquot sum) s(n): 634103814107648
- 428627985989632 is an abundant number, because the sum of its proper divisors (634103814107648) is greater than itself. Its abundance is 205475828118016
Bases of 428627985989632
- Binary: 11000010111010101101110101101100010000000000000002
- Hexadecimal: 0x185D5BAD88000
- Base-36: 47XOZ80F0G
Squares and roots of 428627985989632
- 428627985989632 squared (4286279859896322) is 183721950373528166082411495424
- 428627985989632 cubed (4286279859896323) is 78748369570692496360704809280894893679443968
-
The
square root of 428627985989632 is 20703332.7266320095 -
The
cube root of 428627985989632 is 75398.0605142021
Scales and comparisons
How big is 428627985989632?- 428,627,985,989,632 seconds is equal to 13,629,044 years, 6 weeks, 2 days, 1 hour, 33 minutes, 52 seconds.
-
To count from 1 to 428,627,985,989,632 would take you about thirty-four million, seventy-two thousand, six hundred ten 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 428627985989632 cubic inches would be around 6283.2 feet tall.
Recreational maths with 428627985989632
- 428627985989632 backwards is 236989589726824
- 428627985989632 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428627985989632's digits is 88
- More coming soon!
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The information we have on file for 428627985989632 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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