42090904166400
42,090,904,166,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42090904166400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
42090904166400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 42090904166400:
213 × 32 × 52 × 17 × 192 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 19 × 19 × 61 × 61)See below for interesting mathematical facts about the number 42090904166400 from the Numbermatics database.
Names of 42090904166400
- Cardinal: 42090904166400 can be written as Forty-two trillion, ninety billion, nine hundred four million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.20909041664 × 1013
Factors of 42090904166400
Divisors of 42090904166400
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 30 32 34 36 38 40 45 48 50 51 57 60 61 64 68 72 75 76 80 85 90 95 96 100 102 114 120 122 128 136 144 150 152 153 160 170 171 180 183 190 192 200 204 225 228 240 244 255 256 272 285 288 300 304 305 306 320 323 340 342 360 361 366 380 384 400 408 425 450 456 475 480 488 510 512 544 549 570 576 600 608 610 612 640 646 680 684 720 722 732 760 765 768 800 816 850 855 900 912 915 950 960 969 976 1020 1024 1037 1083 1088 1098 1140 1152 1159 1200 1216 1220 1224 1275 1280 1292 1360 1368 1425 1440 1444 1464 1520 1525 1530 1536 1600 1615 1632 1700 1710 1800 1805 1824 1830 1900 1920 1938 1952 2040 2048 2074 2166 2176 2196 2280 2304 2318 2400 2432 2440 2448 2550 2560 2584 2720 2736 2745 2850 2880 2888 2907 2928 3040 3050 3060 3072 3111 3200 3230 3249 3264 3400 3420 3477 3600 3610 3648 3660 3721 3800 3825 3840 3876 3904 4080 4096 4148 4275 4332 4352 4392 4560 4575 4608 4636 4800 4845 4864 4880 4896 5100 5120 5168 5185 5415 5440 5472 5490 5700 5760 5776 5795 5814 5856 6080 6100 6120 6137 6144 6222 6400 6460 6498 6528 6800 6840 6954 7200 7220 7296 7320 7442 7600 7650 7680 7752 7808 8075 8160 8192 8296 8550 8664 8704 8784 9025 9120 9150 9216 9272 9333 9600 9690 9728 9760 9792 10200 10240 10336 10370 10431 10830 10880 10944 10980 11163 11400 11520 11552 11590 11628 11712 12160 12200 12240 12274 12288 12444 12800 12920 12996 13056 13600 13680 13725 13908 14400 14440 14535 14592 14640 14884 15200 15300 15360 15504 15555 15616 16150 16245 16320 16592 17100 17328 17385 17408 17568 18050 18240 18300 18411 18432 18544 18605 18666 19200 19380 19456 19520 19584 19703 20400 20480 20672 20740 20862 21660 21760 21888 21960 22021 22326 22800 23040 23104 23180 23256 23424 24225 24320 24400 24480 24548 24576 24888 25600 25840 25925 25992 26112 27075 27200 27360 27450 27816 28800 28880 28975 29070 29184 29280 29768 30400 30600 30685 30720 31008 31110 31232 32300 32490 32640 33184 33489 34200 34656 34770 34816 35136 36100 36480 36600 36822 36864 37088 37210 37332 38400 38760 38912 39040 39168 39406 40800 40960 41344 41480 41724 43320 43520 43776 43920 44042 44652 45600 46080 46208 46360 46512 46665 46848 48450 48640 48800 48960 49096 49776 51200 51680 51850 51984 52155 52224 54150 54400 54720 54900 55233 55632 55815 57600 57760 57950 58140 58368 58560 59109 59536 60800 61200 61370 61440 62016 62220 62464 63257 64600 64980 65280 66063 66368 66978 68400 69312 69540 69632 70272 70699 72200 72675 72960 73200 73644 73728 74176 74420 74664 76800 77520 77775 77824 78080 78336 78812 81225 81600 82688 82960 83448 86640 86925 87040 87552 87840 88084 89304 91200 92055 92160 92416 92720 93024 93025 93330 93696 96900 97280 97600 97920 98192 98515 99552 102400 103360 103700 103968 104310 104448 108300 108800 109440 109800 110105 110466 111264 111630 115200 115520 115900 116280 116736 117120 118218 119072 121600 122400 122740 122880 124032 124440 124928 126514 129200 129960 130560 132126 132736 133956 136800 138624 139080 139264 140544 141398 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27510394880 27600592896 27691384320 28750617600 29148825600 29229794560 29537476608 30768204800 30949194240 32578099200 32883518880 33012473856 34387993600 34500741120 34614230400 35075753472 36316569600 36537243200 36921845760 38334156800 38686492800 38865100800 40589107200 41104398600 41265592320 43125926400 43437465600 43844691840 44306214912 46000988160 46152307200 46767671296 49229127680 49518710784 51581990400 52613630208 54805864800 55020789760 55382768640 57501235200 58297651200 58459589120 61536409600 61898388480 65156198400 65767037760 68775987200 69001482240 69228460800 70151506944 73074486400 73843691520 76668313600 77372985600 82208797200 82531184640 86251852800 87689383680 88612429824 92304614400 93535342592 99037421568 103163980800 105227260416 109611729600 110765537280 115002470400 116595302400 116919178240 123072819200 123796776960 130312396800 131534075520 137551974400 138002964480 138456921600 140303013888 146148972800 147687383040 154745971200 164417594400 165062369280 172503705600 175378767360 184609228800 187070685184 206327961600 210454520832 219223459200 221531074560 230004940800 233838356480 246145638400 247593553920 263068151040 275103948800 276913843200 280606027776 292297945600 309491942400 328835188800 345007411200 350757534720 369218457600 412655923200 420909041664 438446918400 443062149120 467676712960 495187107840 526136302080 553827686400 561212055552 584595891200 618983884800 657670377600 690014822400 701515069440 738436915200 825311846400 841818083328 876893836800 935353425920 1052272604160 1107655372800 1169191782400 1237967769600 1315340755200 1403030138880 1683636166656 1753787673600 2104545208320 2215310745600 2338383564800 2475935539200 2630681510400 2806060277760 3507575347200 4209090416640 4676767129600 5261363020800 7015150694400 8418180833280 10522726041600 14030301388800 21045452083200 42090904166400
- Sum of all divisors σ(n): 171290114419086
- Sum of proper divisors (its aliquot sum) s(n): 129199210252686
- 42090904166400 is an abundant number, because the sum of its proper divisors (129199210252686) is greater than itself. Its abundance is 87108306086286
Bases of 42090904166400
- Binary: 10011001001000000011010110010000100000000000002
- Hexadecimal: 0x26480D642000
- Base-36: EX4ALL340
Squares and roots of 42090904166400
- 42090904166400 squared (420909041664002) is 1771644213545068878888960000
- 42090904166400 cubed (420909041664003) is 74570106809282590988602303466962944000000
-
The
square root of 42090904166400 is 6487750.3162806751 -
The
cube root of 42090904166400 is 34785.3265764033
Scales and comparisons
How big is 42090904166400?- 42,090,904,166,400 seconds is equal to 1,338,360 years, 28 weeks, 6 days, 16 hours.
-
To count from 1 to 42,090,904,166,400 would take you about three million, three hundred forty-five thousand, nine hundred one 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 42090904166400 cubic inches would be around 2898.8 feet tall.
Recreational maths with 42090904166400
- 42090904166400 backwards is 00466140909024
- 42090904166400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42090904166400's digits is 45
- More coming soon!
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"Number 42090904166400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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The information we have on file for 42090904166400 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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