442013315807232
442,013,315,807,232 is an even composite number composed of five prime numbers multiplied together.
What does the number 442013315807232 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
442013315807232 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 442013315807232:
211 × 33 × 13 × 1372 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 137 × 137 × 181 × 181)See below for interesting mathematical facts about the number 442013315807232 from the Numbermatics database.
Names of 442013315807232
- Cardinal: 442013315807232 can be written as Four hundred forty-two trillion, thirteen billion, three hundred fifteen million, eight hundred seven thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 4.42013315807232 × 1014
Factors of 442013315807232
Divisors of 442013315807232
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 137 144 156 181 192 208 216 234 256 274 288 312 351 362 384 411 416 432 468 512 543 548 576 624 702 724 768 822 832 864 936 1024 1086 1096 1152 1233 1248 1404 1448 1536 1629 1644 1664 1728 1781 1872 2048 2172 2192 2304 2353 2466 2496 2808 2896 3072 3258 3288 3328 3456 3562 3699 3744 4344 4384 4608 4706 4887 4932 4992 5343 5616 5792 6144 6516 6576 6656 6912 7059 7124 7398 7488 8688 8768 9216 9412 9774 9864 9984 10686 11232 11584 13032 13152 13312 13824 14118 14248 14796 14976 16029 17376 17536 18432 18769 18824 19548 19728 19968 21177 21372 22464 23168 24797 26064 26304 26624 27648 28236 28496 29592 29952 32058 32761 34752 35072 37538 37648 39096 39456 39936 42354 42744 44928 46336 48087 49594 52128 52608 55296 56307 56472 56992 59184 59904 63531 64116 65522 69504 70144 74391 75076 75296 78192 78912 79872 84708 85488 89856 92672 96174 98283 99188 104256 105216 112614 112944 113984 118368 119808 127062 128232 131044 139008 140288 148782 150152 150592 156384 157824 168921 169416 170976 179712 185344 192348 196566 198376 208512 210432 223173 225228 225888 227968 236736 239616 243997 254124 256464 262088 278016 280576 294849 297564 300304 301184 312768 315648 322361 337842 338832 341952 359424 370688 384696 393132 396752 417024 420864 425893 446346 450456 451776 455936 473472 487994 506763 508248 512928 524176 556032 589698 595128 600608 602368 625536 631296 644722 669519 675684 677664 683904 718848 731991 769392 786264 793504 834048 841728 851786 884547 892692 900912 903552 911872 946944 967083 975988 1013526 1016496 1025856 1048352 1112064 1179396 1190256 1201216 1204736 1251072 1262592 1277679 1289444 1339038 1351368 1355328 1367808 1463982 1538784 1572528 1587008 1668096 1703572 1769094 1785384 1801824 1807104 1823744 1893888 1934166 1951976 2027052 2032992 2051712 2096704 2195973 2358792 2380512 2402432 2409472 2502144 2525184 2555358 2578888 2678076 2702736 2710656 2735616 2901249 2927964 3077568 3145056 3174016 3336192 3397189 3407144 3538188 3570768 3603648 3614208 3647488 3787776 3833037 3868332 3903952 4054104 4065984 4103424 4193408 4391946 4488257 4717584 4761024 4804864 4818944 5004288 5110716 5157776 5356152 5405472 5421312 5471232 5802498 5855928 6155136 6290112 6348032 6587919 6794378 6814288 7076376 7141536 7207296 7228416 7575552 7666074 7736664 7807904 8108208 8131968 8206848 8386816 8703747 8783892 8976514 9435168 9522048 9609728 10008576 10191567 10221432 10315552 10712304 10810944 10842624 10942464 11499111 11604996 11711856 12310272 12580224 12696064 13175838 13464771 13588756 13628576 14152752 14283072 14414592 14456832 15332148 15473328 15615808 16216416 16263936 16413696 16773632 17407494 17567784 17953028 18870336 19044096 19219456 20383134 20442864 20631104 21424608 21621888 21685248 22998222 23209992 23423712 24620544 25160448 25392128 26351676 26929542 27177512 27257152 28305504 28566144 28829184 30574701 30664296 30946656 31231616 32432832 32527872 32827392 33547264 34814988 35135568 35906056 37740672 38088192 38438912 40394313 40766268 40885728 41262208 42849216 43243776 43370496 44163457 45996444 46419984 46847424 49241088 50320896 50784256 52703352 53859084 54355024 54514304 56611008 57132288 57658368 58347341 61149402 61328592 61893312 62463232 64865664 65055744 67094528 69629976 70271136 71812112 75481344 76176384 80788626 81532536 81771456 82524416 85698432 86487552 88326914 91724103 91992888 92839968 93694848 98482176 100641792 105406704 107718168 108710048 109028608 113222016 114264576 115316736 116694682 121182939 122298804 122657184 123786624 124926464 129731328 130111488 132490371 139259952 140542272 143624224 150962688 152352768 161577252 163065072 163542912 165048832 171396864 172975104 175042023 176653828 183448206 183985776 185679936 187389696 201283584 210813408 215436336 217420096 218057216 226444032 228529152 233389364 242365878 244597608 245314368 247573248 249852928 259462656 264980742 278519904 281084544 287248448 301925376 323154504 326130144 327085824 330097664 342793728 345950208 350084046 353307656 366896412 367971552 371359872 374779392 397471113 421626816 430872672 434840192 436114432 452888064 457058304 466778728 484731756 489195216 490628736 495146496 499705856 518925312 525126069 529961484 557039808 562169088 574496896 603850752 614891209 646309008 652260288 654171648 660195328 685587456 700168092 706615312 733792824 735943104 742719744 749558784 794942226 843253632 861745344 869680384 872228864 905776128 933557456 969463512 978390432 981257472 990292992 1037850624 1050252138 1059922968 1114079616 1124338176 1148993792 1192413339 1229782418 1292618016 1304520576 1308343296 1371174912 1400336184 1413230624 1467585648 1471886208 1485439488 1499117568 1575378207 1589884452 1686507264 1723490688 1739360768 1811552256 1844673627 1867114912 1938927024 1956780864 1962514944 1980585984 2100504276 2119845936 2228159232 2248676352 2297987584 2384826678 2459564836 2585236032 2609041152 2616686592 2800672368 2826461248 2935171296 2943772416 2970878976 3150756414 3179768904 3373014528 3446981376 3478721536 3689347254 3734229824 3877854048 3913561728 3925029888 4201008552 4239691872 4456318464 4497352704 4595975168 4769653356 4919129672 5170472064 5218082304 5534020881 5601344736 5652922496 5870342592 5887544832 5941757952 6301512828 6359537808 6746029056 6893962752 6957443072 7378694508 7468459648 7755708096 7827123456 7850059776 7993585717 8402017104 8479383744 8912636928 9191950336 9539306712 9838259344 10340944128 10436164608 11068041762 11202689472 11305844992 11740685184 11775089664 12603025656 12719075616 13492058112 13787925504 14757389016 14936919296 15511416192 15654246912 15987171434 16602062643 16804034208 16958767488 17825273856 19078613424 19676518688 20681888256 20872329216 22136083524 22405378944 22611689984 23481370368 23550179328 23980757151 25206051312 25438151232 27575851008 29514778032 29873838592 31022832384 31308493824 31974342868 33204125286 33608068416 33917534976 38157226848 39353037376 41363776512 44272167048 44810757888 45223379968 46962740736 47961514302 50412102624 50876302464 59029556064 59747677184 62045664768 62616987648 63948685736 66408250572 67216136832 67835069952 71942271453 76314453696 78706074752 82727553024 88544334096 89621515776 90446759936 93925481472 95923028604 100824205248 101752604928 118059112128 119495354368 124091329536 127897371472 132816501144 134432273664 135670139904 143884542906 152628907392 157412149504 177088668192 179243031552 187850962944 191846057208 201648410496 203505209856 215826814359 236118224256 248182659072 255794742944 265633002288 268864547328 271340279808 287769085812 305257814784 314824299008 354177336384 358486063104 383692114416 403296820992 407010419712 431653628718 472236448512 511589485888 531266004576 537729094656 575538171624 610515629568 629648598016 708354672768 767384228832 806593641984 814020839424 863307257436 944472897024 1023178971776 1062532009152 1075458189312 1151076343248 1221031259136 1259297196032 1416709345536 1534768457664 1613187283968 1726614514872 1888945794048 2046357943552 2125064018304 2302152686496 2442062518272 2833418691072 3069536915328 3226374567936 3453229029744 3777891588096 4092715887104 4250128036608 4604305372992 5666837382144 6139073830656 6906458059488 8185431774208 8500256073216 9208610745984 11333674764288 12278147661312 13812916118976 16370863548416 17000512146432 18417221491968 24556295322624 27625832237952 34001024292864 36834442983936 49112590645248 55251664475904 73668885967872 110503328951808 147337771935744 221006657903616 442013315807232
- Sum of all divisors σ(n): 1428327189853200
- Sum of proper divisors (its aliquot sum) s(n): 986313874045968
- 442013315807232 is an abundant number, because the sum of its proper divisors (986313874045968) is greater than itself. Its abundance is 544300558238736
Bases of 442013315807232
- Binary: 11001001000000010001111101010110010111000000000002
- Hexadecimal: 0x192023EACB800
- Base-36: 4COI43SAO0
Squares and roots of 442013315807232
- 442013315807232 squared (4420133158072322) is 195375771350903810239783501824
- 442013315807232 cubed (4420133158072323) is 86358692523208596069350435071015702304391168
-
The
square root of 442013315807232 is 21024112.7234238353 -
The
cube root of 442013315807232 is 76174.8809703443
Scales and comparisons
How big is 442013315807232?- 442,013,315,807,232 seconds is equal to 14,054,656 years, 10 weeks, 4 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 442,013,315,807,232 would take you about thirty-five million, one hundred thirty-six thousand, six hundred forty 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 442013315807232 cubic inches would be around 6347.9 feet tall.
Recreational maths with 442013315807232
- 442013315807232 backwards is 232708513310244
- The number of decimal digits it has is: 15
- The sum of 442013315807232's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 442013315807232 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 442013315807232 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/442013315807232/
Chicago style:
Numbermatics. 2024. "Number 442013315807232 - Facts about the integer". https://numbermatics.com/n/442013315807232/
The information we have on file for 442013315807232 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!
Keywords: Divisors of 442013315807232, math, Factors of 442013315807232, curriculum, school, college, exams, university, Prime factorization of 442013315807232, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-two trillion, thirteen billion, three hundred fifteen million, eight hundred seven thousand, two hundred thirty-two.