442395140022
442,395,140,022 is an even composite number composed of six prime numbers multiplied together.
442395140022 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 442395140022:
2 × 33 × 112 × 192 × 372 × 137
(2 × 3 × 3 × 3 × 11 × 11 × 19 × 19 × 37 × 37 × 137)See below for interesting mathematical facts about the number 442395140022 from the Numbermatics database.
Names of 442395140022
- Cardinal: 442395140022 can be written as Four hundred forty-two billion, three hundred ninety-five million, one hundred forty thousand and twenty-two.
Scientific notation
- Scientific notation: 4.42395140022 × 1011
Factors of 442395140022
Divisors of 442395140022
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 6 9 11 18 19 22 27 33 37 38 54 57 66 74 99 111 114 121 137 171 198 209 222 242 274 297 333 342 361 363 407 411 418 513 594 627 666 703 722 726 814 822 999 1026 1083 1089 1221 1233 1254 1369 1406 1507 1881 1998 2109 2166 2178 2299 2442 2466 2603 2738 3014 3249 3267 3663 3699 3762 3971 4107 4218 4477 4521 4598 5069 5206 5643 6327 6498 6534 6897 7326 7398 7733 7809 7942 8214 8954 9042 9747 10138 10989 11286 11913 12321 12654 13357 13431 13563 13794 15059 15207 15466 15618 16577 18981 19494 20691 21978 23199 23427 23826 24642 26011 26714 26862 27126 28633 30118 30414 33154 35739 36963 37962 40071 40293 40689 41382 43681 45177 45621 46398 46854 49457 49731 52022 55759 57266 62073 69597 70281 71478 73926 78033 80142 80586 81378 85063 85899 87362 90354 91242 96311 98914 99462 107217 111518 120213 120879 124146 131043 135531 136863 139194 140562 146927 148371 149193 156066 165649 167277 170126 171798 187553 192622 208791 214434 234099 240426 241758 255189 257697 262086 271062 273726 286121 288933 293854 296742 298386 314963 331298 334554 360639 375106 393129 406593 417582 440781 445113 447579 468198 494209 496947 501831 510378 515394 544027 562659 572242 577866 613349 629926 702297 721278 765567 773091 786258 813186 858363 866799 881562 890226 895158 944889 988418 993894 1003662 1059421 1088054 1125318 1179387 1226698 1322343 1335339 1404594 1482627 1490841 1505493 1531134 1546182 1616197 1632081 1687977 1716726 1733598 1829909 1840047 1889778 2063083 2118842 2296701 2358774 2575089 2600397 2644686 2670678 2834667 2965254 2981682 3010986 3147331 3178263 3232394 3264162 3375954 3563507 3659818 3680094 3967029 4126166 4447881 4472523 4593402 4848591 4896243 5063931 5150178 5200794 5436299 5489727 5520141 5669334 5984297 6189249 6294662 6356526 7127014 7725267 7934058 8504001 8895762 8945046 9441993 9534789 9697182 9792486 10127862 10690521 10872598 10979454 11040282 11653631 11968594 12378498 13343643 14545773 14688729 15450534 16308897 16469181 16560423 17008002 17952891 18567747 18883986 19069578 20128999 21381042 22693913 23307262 26687286 28325979 28604367 29091546 29377458 32071563 32617794 32938362 33120846 34960893 35905782 37135494 39198577 40257998 43637319 45387826 48926691 49407543 53858673 55703241 56651958 57208734 59799289 60386997 64143126 67706633 68081739 69921786 78397154 84977937 87274638 96214689 97853382 98815086 104882679 107717346 111406482 117595731 119598578 120773994 135413266 136163478 146780073 161576019 169955874 179397867 181160991 192429378 203119899 204245217 209765358 221418989 235191462 293560146 314648037 323152038 352787193 358795734 362321982 406239798 408490434 431184347 442837978 538193601 543482973 609359697 612735651 629296074 664256967 705574386 744772963 862368694 1058361579 1076387202 1086965946 1218719394 1225471302 1293553041 1328513934 1489545926 1614580803 1828079091 1992770901 2116723158 2234318889 2587106082 3229161606 3656158182 3880659123 3985541802 4468637778 5978312703 6702956667 7761318246 8192502593 11641977369 11956625406 13405913334 16385005186 20108870001 23283954738 24577507779 40217740002 49155015558 73732523337 147465046674 221197570011 442395140022
- Sum of all divisors σ(n): 1180676846160
- Sum of proper divisors (its aliquot sum) s(n): 738281706138
- 442395140022 is an abundant number, because the sum of its proper divisors (738281706138) is greater than itself. Its abundance is 295886566116
Bases of 442395140022
- Binary: 1100111000000001100111000011111101101102
- Hexadecimal: 0x6700CE1FB6
- Base-36: 5N8EN6PI
Squares and roots of 442395140022
- 442395140022 squared (4423951400222) is 195713459915084986160484
- 442395140022 cubed (4423951400223) is 86582683503324106682497251343290648
-
The
square root of 442395140022 is 665127.9125266057 -
The
cube root of 442395140022 is 7619.6808698265
Scales and comparisons
How big is 442395140022?- 442,395,140,022 seconds is equal to 14,066 years, 41 weeks, 3 days, 2 hours, 53 minutes, 42 seconds.
-
To count from 1 to 442,395,140,022 would take you about twenty-eight thousand, one hundred thirty-three 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 442395140022 cubic inches would be around 635 feet tall.
Recreational maths with 442395140022
- 442395140022 backwards is 220041593244
- The number of decimal digits it has is: 12
- The sum of 442395140022's digits is 36
- More coming soon!
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