42401904499132992
42,401,904,499,132,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 42401904499132992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1890 divisors.
42401904499132992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 42401904499132992:
26 × 34 × 112 × 972 × 137 × 2292
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 97 × 97 × 137 × 229 × 229)See below for interesting mathematical facts about the number 42401904499132992 from the Numbermatics database.
Names of 42401904499132992
- Cardinal: 42401904499132992 can be written as Forty-two quadrillion, four hundred one trillion, nine hundred four billion, four hundred ninety-nine million, one hundred thirty-two thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 4.2401904499132992 × 1016
Factors of 42401904499132992
Divisors of 42401904499132992
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 97 99 108 121 132 137 144 162 176 192 194 198 216 229 242 264 274 288 291 297 324 352 363 388 396 411 432 458 484 528 548 576 582 594 648 687 704 726 776 792 822 864 873 891 916 968 1056 1067 1089 1096 1164 1188 1233 1296 1374 1452 1507 1552 1584 1644 1728 1746 1782 1832 1936 2061 2112 2134 2178 2192 2328 2376 2466 2519 2592 2619 2748 2904 3014 3104 3168 3201 3267 3288 3492 3564 3664 3699 3872 4122 4268 4356 4384 4521 4656 4752 4932 5038 5184 5238 5496 5808 6028 6183 6208 6336 6402 6534 6576 6984 7128 7328 7398 7557 7744 7857 8244 8536 8712 8768 9042 9312 9409 9504 9603 9801 9864 10076 10476 10992 11097 11616 11737 12056 12366 12804 13068 13152 13289 13563 13968 14256 14656 14796 15114 15714 16488 16577 17072 17424 18084 18549 18624 18818 19008 19206 19602 19728 20152 20952 21984 22194 22213 22671 23232 23474 24112 24732 25608 26136 26304 26578 27126 27709 27936 28227 28512 28809 29592 30228 31373 31428 32976 33154 34144 34848 35211 36168 37098 37636 38412 39204 39456 39867 40304 40689 41904 43968 44388 44426 45342 46948 48224 49464 49731 51216 52272 52441 53156 54252 55418 55872 56454 57024 57618 59184 60456 62746 62856 65952 66308 66639 68013 68288 69696 70422 72336 74196 75272 76824 78408 78912 79734 80608 81378 83127 83808 84681 86427 88776 88852 90684 93896 94119 96448 98928 99462 102432 103499 104544 104882 105633 106312 108504 110836 112908 115236 118368 119601 120912 122067 125492 125712 131904 132616 133278 136026 140844 144672 146179 148392 149193 150544 153648 156816 157323 159468 161216 162756 166254 167616 169362 172854 177552 177704 181368 187792 188238 197856 198924 199917 204039 204864 206998 209088 209764 211266 212624 217008 221672 225816 230472 236736 239202 241824 244134 244343 249381 250984 251424 254043 265232 266556 272052 281688 282357 289344 292358 296784 298386 301088 307296 310497 313632 314646 316899 318936 325512 332508 338724 345103 345708 355104 355408 358803 362736 375584 376476 395712 397848 399834 408078 413996 419528 422532 425248 434016 438537 443344 447579 451632 460944 471969 478404 483648 488268 488686 498762 501968 502848 508086 530464 533112 544104 563376 564714 576851 584716 593568 596772 599751 602176 614592 620994 627264 629292 633798 637872 651024 665016 677448 690206 691416 710208 710816 717606 725472 733029 748143 751168 752952 762129 795696 799668 816156 827992 839056 845064 847071 850496 868032 877074 886688 895158 903264 921888 931491 943938 950697 956808 976536 977372 997524 1003936 1016172 1035309 1060928 1066224 1076409 1088208 1126752 1129428 1138489 1153702 1169432 1187136 1193544 1199502 1241988 1258584 1267596 1275744 1289033 1302048 1315611 1330032 1342737 1354896 1380412 1382832 1415907 1421632 1435212 1450944 1466058 1496286 1505904 1524258 1591392 1599336 1607969 1632312 1655984 1678112 1690128 1694142 1730553 1754148 1773376 1790316 1799253 1806528 1843776 1862982 1887876 1901394 1913616 1953072 1954744 1995048 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220843252599651 240919911926892 261740151229216 294457670132868 309502952548416 321226549235856 350428962802752 392610226843824 428302065647808 437133036073536 441686505199302 481839823853784 523480302458432 588915340265736 642453098471712 662529757798953 785220453687648 883373010398604 963679647707568 1177830680531472 1284906196943424 1325059515597906 1570440907375296 1766746020797208 1927359295415136 2355661361062944 2650119031195812 3533492041594416 3854718590830272 4711322722125888 5300238062391624 7066984083188832 10600476124783248 14133968166377664 21200952249566496 42401904499132992
- Sum of all divisors σ(n): 141232574680119846
- Sum of proper divisors (its aliquot sum) s(n): 98830670180986854
- 42401904499132992 is an abundant number, because the sum of its proper divisors (98830670180986854) is greater than itself. Its abundance is 56428765681853862
Bases of 42401904499132992
- Binary: 100101101010010001001110101101110111100010001010010000002
- Hexadecimal: 0x96A44EB7788A40
- Base-36: BLI7Y0I1W00
Squares and roots of 42401904499132992
- 42401904499132992 squared (424019044991329922) is 1797921505153594669167279702872064
- 42401904499132992 cubed (424019044991329923) is 76235295958460166665399880679044248605260297535488
-
The
square root of 42401904499132992 is 205917227.3005175057 -
The
cube root of 42401904499132992 is 348707.9011178779
Scales and comparisons
How big is 42401904499132992?- 42,401,904,499,132,992 seconds is equal to 1,348,249,405 years, 19 weeks, 1 day, 18 hours, 43 minutes, 12 seconds.
-
To count from 1 to 42,401,904,499,132,992 would take you about four billion, forty-four million, seven hundred forty-eight thousand, two hundred sixteen 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 42401904499132992 cubic inches would be around 29059 feet tall.
Recreational maths with 42401904499132992
- 42401904499132992 backwards is 29923199440910424
- 42401904499132992 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42401904499132992's digits is 72
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The information we have on file for 42401904499132992 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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