442085443129792
442,085,443,129,792 is an even composite number composed of five prime numbers multiplied together.
What does the number 442085443129792 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1134 divisors.
442085443129792 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 442085443129792:
26 × 75 × 112 × 192 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 19 × 19 × 97 × 97)See below for interesting mathematical facts about the number 442085443129792 from the Numbermatics database.
Names of 442085443129792
- Cardinal: 442085443129792 can be written as Four hundred forty-two trillion, eighty-five billion, four hundred forty-three million, one hundred twenty-nine thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 4.42085443129792 × 1014
Factors of 442085443129792
Divisors of 442085443129792
- Number of divisors d(n): 1134
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Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 32 38 44 49 56 64 76 77 88 97 98 112 121 133 152 154 176 194 196 209 224 242 266 304 308 343 352 361 388 392 418 448 484 532 539 608 616 679 686 704 722 776 784 836 847 931 968 1064 1067 1078 1216 1232 1358 1372 1444 1463 1552 1568 1672 1694 1843 1862 1936 2128 2134 2156 2299 2401 2464 2527 2716 2744 2888 2926 3104 3136 3344 3388 3686 3724 3773 3872 3971 4256 4268 4312 4598 4753 4802 4928 5054 5432 5488 5776 5852 5929 6208 6517 6688 6776 7372 7448 7469 7546 7744 7942 8512 8536 8624 9196 9409 9506 9604 10108 10241 10864 10976 11552 11704 11737 11858 12901 13034 13376 13552 14744 14896 14938 15092 15884 16093 16807 17072 17248 17689 18392 18818 19012 19208 20216 20273 20482 21728 21952 23104 23408 23474 23716 25802 26068 26411 27104 27797 29488 29792 29876 30184 31768 32186 33271 33614 34144 34496 35017 35378 36784 37636 38024 38416 40432 40546 40964 41503 43456 43681 45619 46816 46948 47432 51604 52136 52283 52822 54208 55594 58976 59584 59752 60368 63536 64372 65863 66542 67228 68288 70034 70756 71687 73568 75272 76048 76832 80864 81092 81928 82159 83006 87362 90307 91238 93632 93896 94864 103208 103499 104272 104566 105644 111188 112651 117952 119504 120736 123823 127072 128744 131726 133084 134456 140068 141512 141911 143374 147136 150544 152096 153664 161728 162184 163856 164318 166012 174724 178771 180614 182476 184877 187792 189728 194579 206416 206998 208544 209132 211288 222376 223003 225302 232897 239008 241472 245119 247646 254144 257488 263452 266168 268912 280136 283024 283822 286748 290521 301088 304192 305767 319333 324368 327712 328636 332024 349448 357542 361228 364952 365981 369754 375584 379456 385187 389158 412832 413996 417088 418264 422576 444752 446006 450604 461041 465794 478016 490238 495292 501809 514976 526904 532336 537824 560272 566048 567644 573496 575113 581042 602176 611534 632149 638666 648736 655424 657272 664048 698896 715084 722456 724493 729904 731962 739508 751168 770374 778316 788557 825664 827992 836528 845152 866761 889504 892012 901208 922082 931588 980476 990584 993377 1003618 1029952 1053808 1064672 1075648 1120544 1132096 1135288 1138489 1146992 1150226 1162084 1223068 1251397 1264298 1277332 1297472 1314544 1328096 1362053 1397792 1430168 1444912 1448986 1459808 1463924 1479016 1540748 1556632 1561021 1577114 1630279 1655984 1673056 1690304 1715833 1733522 1779008 1784024 1802416 1844164 1863176 1960952 1966481 1981168 1986754 2007236 2033647 2107616 2129344 2140369 2241088 2270576 2276978 2293984 2300452 2324168 2446136 2502794 2528596 2554664 2561867 2629088 2656192 2696309 2724106 2795584 2860336 2889824 2897972 2919616 2927848 2958032 3081496 3113264 3122042 3154228 3227287 3260558 3311968 3346112 3396649 3431666 3467044 3512663 3568048 3604832 3688328 3726352 3921904 3932962 3962336 3973508 4014472 4025791 4067294 4215232 4237057 4280738 4425043 4541152 4553956 4587968 4600904 4648336 4892272 5005588 5057192 5071451 5109328 5123734 5258176 5392618 5448212 5519899 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28101304 28180537 29506624 29659399 29965166 30975301 31463696 31788064 31877692 32115776 32206328 32538352 33896456 34245904 35039116 35400344 35500157 35866138 36431648 36807232 37363139 37748326 38137484 38639293 40044704 40457536 40571608 40989872 43140944 43262582 43585696 43708588 44159192 45182018 46367552 47553086 48043324 48538616 48675473 49952672 50467648 51636592 52168928 54346384 54906656 55061468 55472704 55629112 55785961 56202608 56361074 59318798 59930332 61318453 61950602 62927392 63576128 63755384 64412656 65076704 66740597 67792912 68491808 70078232 70800688 71000314 71732276 72863296 74726278 75496652 76274968 76490029 77278586 80089408 81143216 81979744 84075817 86281888 86525164 87171392 87417176 88318384 90364036 95106172 96086648 96357569 97077232 97350946 99905344 103273184 104337856 104878081 108692768 109813312 110122936 111258224 111571922 112405216 112722148 118637596 119860664 122636906 123901204 125854784 127510768 128825312 130153408 132119141 133481194 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3083442208 3115230272 3124013816 3156220144 3287956232 3321852688 3356098592 3433833368 3479015386 3570301504 3661587622 3699335948 3748011421 3924380992 3976017584 4184671568 4227812512 4239733036 4271398208 4283441624 4660202428 4708245752 4721520881 4845409184 4895361856 5060386016 5325945632 5380852288 5396023864 5451652976 5467024178 5753923406 5813242204 5873172536 6009208394 6166884416 6248027632 6312440288 6473837909 6575912464 6643705376 6712197184 6867666736 6958030772 7323175244 7398671896 7419532813 7496022842 7952035168 8155354249 8369343136 8455625024 8479466072 8566883248 9320404856 9416491504 9443041762 9690818368 10120772032 10173173857 10651891264 10792047728 10903305952 10934048356 11507846812 11626484408 11746345072 12018416788 12496055264 12624880576 12815556677 12947675818 13151824928 13287410752 13735333472 13916061544 14646350488 14797343792 14839065626 14992045684 15904070336 16310708498 16738686272 16958932144 17133766496 18640809712 18832983008 18886083524 19134584623 20138731921 20346347714 21584095456 21806611904 21868096712 23015693624 23252968816 23492690144 24036833576 24992110528 25631113354 25895351636 26303649856 27470666944 27832123088 29292700976 29594687584 29678131252 29984091368 32621416996 33050646167 33917864288 34267532992 37281619424 37665966016 37772167048 38269169246 40277463842 40692695428 43168190912 43736193424 46031387248 46505937632 46985380288 48073667152 51262226708 51790703272 51936729691 55664246176 57087479743 58585401952 59189375168 59356262504 59968182736 65242833992 66101292334 67835728576 71212216999 74563238848 75544334096 76538338492 80554927684 81385390856 87472386848 89708896739 92062774496 93011875264 96147334304 102524453416 103581406544 103873459382 111328492352 114174959486 117170803904 118712525008 119936365472 130485667984 132202584668 140971123447 142424433998 151088668192 153076676984 161109855368 162770781712 174944773696 179417793478 184125548992 192294668608 205048906832 207162813088 207746918764 228349918972 237425050016 239872730944 260971335968 264405169336 281942246894 284848867996 302177336384 306153353968 322219710736 325541563424 358835586956 363557107837 410097813664 414325626176 415493837528 456699837944 474850100032 521942671936 528810338672 563884493788 569697735992 612306707936 627962277173 644439421472 651083126848 717671173912 727114215674 820195627328 830987675056 913399675888 986797864129 1057620677344 1127768987576 1139395471984 1224613415872 1255924554346 1288878842944 1435342347824 1454228431348 1661975350112 1826799351776 1973595728258 2115241354688 2255537975152 2278790943968 2511849108692 2870684695648 2908456862696 3323950700224 3653598703552 3947191456516 4511075950304 4557581887936 5023698217384 5741369391296 5816913725392 6907585048903 7894382913032 9022151900608 10047396434768 11633827450784 13815170097806 15788765826064 20094792869536 23267654901568 27630340195612 31577531652128 40189585739072 55260680391224 63155063304256 110521360782448 221042721564896 442085443129792
- Sum of all divisors σ(n): 1199657103003576
- Sum of proper divisors (its aliquot sum) s(n): 757571659873784
- 442085443129792 is an abundant number, because the sum of its proper divisors (757571659873784) is greater than itself. Its abundance is 315486216743992
Bases of 442085443129792
- Binary: 11001001000010011000010011100110001010001110000002
- Hexadecimal: 0x1921309CC51C0
- Base-36: 4CPF8YJ4XS
Squares and roots of 442085443129792
- 442085443129792 squared (4420854431297922) is 195439539027264556652557963264
- 442085443129792 cubed (4420854431297923) is 86400975215950529255371405609791969119961088
-
The
square root of 442085443129792 is 21025828.0010512785 -
The
cube root of 442085443129792 is 76179.0241271151
Scales and comparisons
How big is 442085443129792?- 442,085,443,129,792 seconds is equal to 14,056,949 years, 32 weeks, 5 days, 20 hours, 29 minutes, 52 seconds.
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To count from 1 to 442,085,443,129,792 would take you about thirty-five million, one hundred forty-two thousand, three hundred seventy-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 442085443129792 cubic inches would be around 6348.3 feet tall.
Recreational maths with 442085443129792
- 442085443129792 backwards is 297921344580244
- 442085443129792 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 442085443129792's digits is 64
- More coming soon!
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The information we have on file for 442085443129792 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 442085443129792, math, Factors of 442085443129792, curriculum, school, college, exams, university, Prime factorization of 442085443129792, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-two trillion, eighty-five billion, four hundred forty-three million, one hundred twenty-nine thousand, seven hundred ninety-two.