442086129342
442,086,129,342 is an even composite number composed of eight prime numbers multiplied together.
What does the number 442086129342 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
442086129342 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 442086129342:
2 × 33 × 11 × 13 × 19 × 31 × 372 × 71
(2 × 3 × 3 × 3 × 11 × 13 × 19 × 31 × 37 × 37 × 71)See below for interesting mathematical facts about the number 442086129342 from the Numbermatics database.
Names of 442086129342
- Cardinal: 442086129342 can be written as Four hundred forty-two billion, eighty-six million, one hundred twenty-nine thousand, three hundred forty-two.
Scientific notation
- Scientific notation: 4.42086129342 × 1011
Factors of 442086129342
Divisors of 442086129342
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 6 9 11 13 18 19 22 26 27 31 33 37 38 39 54 57 62 66 71 74 78 93 99 111 114 117 142 143 171 186 198 209 213 222 234 247 279 286 297 333 341 342 351 403 407 418 426 429 481 494 513 558 589 594 627 639 666 682 702 703 741 781 806 814 837 858 923 962 999 1023 1026 1147 1178 1209 1221 1254 1278 1287 1349 1369 1406 1443 1482 1562 1674 1767 1846 1881 1917 1998 2046 2109 2201 2223 2294 2343 2418 2442 2574 2627 2698 2717 2738 2769 2886 3069 3441 3534 3627 3663 3762 3834 3861 4047 4107 4218 4329 4402 4433 4446 4686 5254 5291 5301 5434 5538 5643 6138 6327 6479 6603 6669 6882 7029 7254 7326 7657 7722 7733 7881 8094 8151 8214 8307 8658 8866 9139 9207 10153 10323 10582 10602 10881 10989 11286 12141 12321 12617 12654 12958 12987 13206 13299 13338 14058 14839 14911 15059 15314 15466 15762 15873 15903 16302 16614 17537 17797 18278 18414 18981 19437 19809 20306 20646 21087 21762 21793 21978 22971 23199 23643 24211 24282 24453 24642 24921 25234 25974 26011 26598 27417 28613 28897 29678 29822 30118 30459 30969 31746 31806 34151 35074 35594 36423 36963 37851 37962 38874 39618 39897 41819 42174 42439 43586 44517 44733 45177 45942 46398 47286 47619 48422 48906 49842 49913 52022 52611 53391 54834 57226 57794 58311 59427 60918 61938 65379 68302 68913 69597 70929 72633 72846 73359 73926 75702 78033 79794 81437 82251 83638 84227 84878 85839 86691 89034 89466 90354 91377 95238 97199 99826 100529 102453 105222 106782 113553 116622 118854 119691 125457 127317 130758 133551 134199 135531 137826 139194 141858 142857 145266 146718 149739 156066 157833 160173 162874 164021 164502 168454 171678 173382 174933 182754 192907 194398 195767 196137 201058 204906 206739 208791 217899 227106 234099 239382 239723 244311 246753 250914 252681 254634 257517 260073 267102 268398 271062 274131 283309 285714 286121 291597 299478 301587 307359 314743 315666 320346 328042 338143 340659 349866 375661 376371 381951 385814 391534 392274 400653 402597 406593 413478 417582 435798 449217 460009 466829 468198 473499 479446 480519 488622 492063 493506 505362 515034 520146 543647 548262 549043 551707 566618 572242 578721 583194 587301 588411 603174 614718 629486 648869 653697 676286 681318 702297 719169 732933 751322 752742 758043 763902 772551 780219 801306 805194 806341 813186 849927 858363 874791 895807 898434 904761 920018 922077 933658 944229 946998 961038 984126 1014429 1058681 1069189 1087294 1098086 1103414 1126983 1129113 1145853 1157442 1174602 1176822 1263587 1297738 1307394 1347651 1380027 1400487 1404594 1438338 1465866 1476189 1516086 1545102 1547303 1560438 1612682 1630941 1647129 1655121 1699854 1716726 1736163 1749582 1761903 1791614 1809522 1844154 1846781 1888458 1946607 2028858 2117362 2138378 2157507 2198799 2253966 2258226 2274129 2291706 2419023 2527174 2549781 2575089 2624373 2687421 2695302 2714283 2760054 2800974 2832687 2952378 3013169 3043287 3094606 3116399 3176043 3207567 3261882 3294258 3310242 3380949 3472326 3523806 3693562 3719573 3790761 3893214 4140081 4201461 4315014 4397598 4428567 4548258 4641909 4838046 4892823 4941387 4965363 5099562 5150178 5208489 5248746 5285709 5374842 5428566 5540343 5665374 5839821 5980117 6026338 6068777 6086574 6232798 6352086 6415134 6472521 6761898 7137559 7257069 7439146 7581522 7649343 7725267 8062263 8280162 8402922 8498061 8857134 8869751 9039507 9129861 9283818 9349197 9528129 9622701 9785646 9882774 9930726 10142847 10416978 10482433 10571418 11080686 11158719 11372283 11645491 11679642 11960234 12137554 12420243 12604383 12945042 13899457 13925727 14275118 14514138 14678469 14824161 14896089 15298686 15450534 16124526 16621029 16996122 17020333 17519463 17739502 17940351 18079014 18206331 18259722 18698394 19056258 19245402 20114939 20285694 20314591 20964866 21412677 21771207 22317438 22744566 23290982 24008153 24186789 24840486 25208766 26609253 27118521 27798914 27851454 28047591 28584387 28868103 29356938 29648322 29792178 31447299 33144859 33242058 33476157 34040666 34116849 34936473 35038926 35880702 36412662 39171197 40229878 40629182 41698371 41777181 42825354 43542414 48016306 48373578 49863087 51060999 53218506 53821053 54237042 54618993 56095182 57168774 57250211 57736206 60344817 60943773 62894598 64238031 66289718 66952314 68233698 69872946 72024459 78342394 79827759 81355563 83396742 83554362 84142773 94341897 99434577 99726174 100428471 102121998 104809419 107642106 109237986 114500422 115306763 117513591 120689634 121887546 125095113 128476062 144048918 153182997 159655518 161463159 162711126 163856979 168285546 171750633 181034451 182831319 188683794 192714093 198869154 200856942 209618838 216073377 221264329 230613526 235027182 239483277 250190226 264089683 283025691 298303731 306365994 314428257 322926318 327713958 343501266 345920289 352540773 362068902 365662638 375285339 385428186 430883167 432146754 442528658 459548991 478966554 515251899 528179366 543103353 548493957 566051382 596607462 628856514 629752321 648220131 663792987 691840578 705081546 744252743 750570678 792269049 861766334 894911193 919097982 1030503798 1037760867 1057622319 1086206706 1096987914 1259504642 1292649501 1296440262 1327585974 1488505486 1545755697 1584538098 1789822386 1889256963 1991378961 2075521734 2115244638 2232758229 2376807147 2585299002 3091511394 3113282601 3778513926 3877948503 3982757922 4465516458 4753614294 5667770889 5974136883 6226565202 6698274687 7130421441 7755897006 8186780173 11335541778 11633845509 11948273766 13396549374 14260842882 16373560346 17003312667 20094824061 23267691018 24560340519 34006625334 40189648122 49120681038 73681021557 147362043114 221043064671 442086129342
- Sum of all divisors σ(n): 1307064729600
- Sum of proper divisors (its aliquot sum) s(n): 864978600258
- 442086129342 is an abundant number, because the sum of its proper divisors (864978600258) is greater than itself. Its abundance is 422892470916
Bases of 442086129342
- Binary: 1100110111011100110001011111110101111102
- Hexadecimal: 0x66EE62FEBE
- Base-36: 5N3AO0JI
Squares and roots of 442086129342
- 442086129342 squared (4420861293422) is 195440145756591553352964
- 442086129342 cubed (4420861293423) is 86401377555567865904663136683069688
-
The
square root of 442086129342 is 664895.5777729311 -
The
cube root of 442086129342 is 7617.9063542535
Scales and comparisons
How big is 442086129342?- 442,086,129,342 seconds is equal to 14,056 years, 50 weeks, 3 days, 14 hours, 35 minutes, 42 seconds.
-
To count from 1 to 442,086,129,342 would take you about twenty-eight thousand, one hundred thirteen 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 442086129342 cubic inches would be around 634.8 feet tall.
Recreational maths with 442086129342
- 442086129342 backwards is 243921680244
- The number of decimal digits it has is: 12
- The sum of 442086129342's digits is 45
- More coming soon!
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The information we have on file for 442086129342 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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