40972146421399424
40,972,146,421,399,424 is an even composite number composed of five prime numbers multiplied together.
40972146421399424 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 40972146421399424:
27 × 7 × 113 × 593 × 4092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 59 × 59 × 59 × 409 × 409)See below for interesting mathematical facts about the number 40972146421399424 from the Numbermatics database.
Names of 40972146421399424
- Cardinal: 40972146421399424 can be written as Forty quadrillion, nine hundred seventy-two trillion, one hundred forty-six billion, four hundred twenty-one million, three hundred ninety-nine thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 4.0972146421399424 × 1016
Factors of 40972146421399424
Divisors of 40972146421399424
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 56 59 64 77 88 112 118 121 128 154 176 224 236 242 308 352 409 413 448 472 484 616 649 704 818 826 847 896 944 968 1232 1298 1331 1408 1636 1652 1694 1888 1936 2464 2596 2662 2863 3272 3304 3388 3481 3776 3872 4499 4543 4928 5192 5324 5726 6544 6608 6776 6962 7139 7552 7744 8998 9086 9317 9856 10384 10648 11452 13088 13216 13552 13924 14278 15488 17996 18172 18634 20768 21296 22904 24131 24367 26176 26432 27104 27848 28556 31493 35992 36344 37268 38291 41536 42592 45808 48262 48734 49489 49973 52352 52864 54208 55696 57112 62986 71984 72688 74536 76582 78529 83072 85184 91616 96524 97468 98978 99946 108416 111392 114224 125972 143968 145376 149072 153164 157058 167281 168917 170368 183232 193048 194936 197956 199892 205379 222784 228448 251944 265441 268037 287936 290752 298144 306328 314116 334562 337834 346423 366464 386096 389872 395912 399784 410758 421201 445568 456896 503888 530882 536074 544379 549703 575872 581504 596288 612656 628232 669124 675668 692846 772192 779744 791824 799568 821516 842402 913792 1007776 1061764 1072148 1088758 1099406 1170967 1192576 1225312 1256464 1338248 1351336 1385692 1423729 1437653 1544384 1559488 1583648 1599136 1643032 1684804 1840091 1858087 2015552 2123528 2144296 2177516 2198812 2259169 2341934 2450624 2512928 2676496 2702672 2771384 2847458 2875306 2919851 2948407 3088768 3118976 3167296 3198272 3286064 3369608 3680182 3716174 3810653 4031104 4247056 4288592 4355032 4397624 4518338 4633211 4683868 4901248 5025856 5352992 5405344 5542768 5694916 5750612 5839702 5896814 6334592 6396544 6572128 6739216 7360364 7432348 7621306 8494112 8577184 8710064 8795248 9036676 9266422 9367736 9869579 9966103 10051712 10705984 10810688 11085536 11389832 11501224 11679404 11793628 12880637 13144256 13478432 14720728 14864696 15242612 15661019 15814183 16988224 17154368 17420128 17590496 18073352 18532844 18735472 19739158 19932206 20241001 20438957 21411968 21621376 22171072 22779664 23002448 23358808 23587256 24850859 25761274 26288512 26956864 29441456 29729392 30485224 31322038 31628366 32118361 32432477 33976448 34308736 34840256 35180992 36146704 37065688 37470944 39478316 39864412 40482002 40877914 44342144 45559328 46004896 46717616 47174512 49701718 51522548 53913728 58882912 59458784 60970448 62644076 63256732 64236722 64864954 69087053 69680512 70361984 72293408 74131376 74941888 78956632 79728824 80964004 81755828 84000011 91118656 92009792 93435232 94349024 99403436 103045096 108565369 109627133 117765824 118917568 121940896 125288152 126513464 128473444 129729908 138174106 141687007 144586816 148262752 149883776 157913264 159457648 161928008 163511656 168000022 172271209 173956013 182237312 184019584 186870464 188698048 198806872 206090192 217130738 219254266 222651011 224828527 235531648 237835136 243881792 250576304 253026928 256946888 259459816 273359449 276348212 283374014 289173632 296525504 315826528 318915296 323856016 327023312 336000044 344542418 347912026 373740928 377396096 397613744 412180384 434261476 438508532 445302022 449657054 487763584 501152608 506053856 513893776 518919632 546718898 552696424 566748028 582305161 588000077 593051008 631653056 637830592 647712032 654046624 672000088 689084836 695824052 759957583 795227488 824360768 868522952 877017064 890604044 899314108 924000121 1002305216 1012107712 1027787552 1037839264 1093437796 1105392848 1133496056 1164610322 1176000154 1194219059 1205898463 1263306112 1275661184 1295424064 1308093248 1344000176 1378169672 1391648104 1519915166 1558557077 1590454976 1648721536 1737045904 1754034128 1781208088 1798628216 1848000242 1894983299 1913516143 2004610432 2024215424 2055575104 2075678528 2186875592 2210785696 2266992112 2329220644 2352000308 2388438118 2411796926 2590848128 2616186496 2688000352 2756339344 2783296208 3039830332 3117114154 3180909952 3474091808 3508068256 3562416176 3597256432 3696000484 3789966598 3827032286 4076136127 4111150208 4151357056 4373751184 4421571392 4533984224 4658441288 4704000616 4776876236 4823593852 5376000704 5512678688 5566592416 6079660664 6234228308 6405356771 6468000847 6948183616 7016136512 7124832352 7194512864 7392000968 7579933196 7654064572 8152272254 8359533413 8747502368 8843142784 9067968448 9316882576 9408001232 9553752472 9647187704 10164001331 10752001408 11025357376 11133184832 12159321328 12468456616 12810713542 12936001694 13136409649 13264883093 13896367232 14032273024 14249664704 14389025728 14784001936 15159866392 15308129144 16304544508 16719066826 17495004736 18135936896 18633765152 18816002464 19107504944 19294375408 20328002662 22050714752 22266369664 24318642656 24936913232 25621427084 25872003388 26272819298 26529766186 28499329408 28778051456 29568003872 30319732784 30616258288 32609089016 33438133652 34356004499 34990009472 37267530304 37632004928 38215009888 38588750816 40656005324 44837497397 48637285312 49873826464 51242854168 51744006776 52545638596 53059532372 59136007744 60639465568 61232516576 65218178032 66876267304 68712008998 70458924481 71148009317 74535060608 75264009856 76430019776 77177501632 81312010648 89674994794 91954867543 97274570624 99747652928 102485708336 103488013552 105091277192 106119064744 111804014641 118272015488 121278931136 122465033152 130436356064 133752534608 137424017996 140917848962 142296018634 152860039552 154355003264 162624021296 179349989588 183909735086 199495305856 204971416672 206976027104 210182554384 212238129488 223608029282 240492031493 242557862272 244930066304 260872712128 267505069216 274848035992 281835697924 284592037268 325248042592 358699979176 367819470172 377916049489 409942833344 413952054208 420365108768 424476258976 447216058564 480984062986 493212471367 521745424256 535010138432 549696071984 563671395848 569184074536 650496085184 717399958352 735638940344 755832098978 775048169291 782628102487 819885666688 827904108416 840730217536 848952517952 894432117128 961968125972 986424942734 1070020276864 1099392143968 1127342791696 1138368149072 1300992170368 1434799916704 1471277880688 1511664197956 1550096338582 1565256204974 1681460435072 1697905035904 1788864234256 1923936251944 1972849885468 2198784287936 2254685583392 2276736298144 2645412346423 2869599833408 2942555761376 3023328395912 3100192677164 3130512409948 3577728468512 3847872503888 3945699770936 4157076544379 4397568575872 4509371166784 4553472596288 5290824692846 5425337185037 5739199666816 5885111522752 6046656791824 6200385354328 6261024819896 7155456937024 7695745007776 7891399541872 8314153088758 9018742333568 9106945192576 10581649385692 10850674370074 11770223045504 12093313583648 12400770708656 12522049639792 14310913874048 15391490015552 15782799083744 16628306177516 21163298771384 21701348740148 24186627167296 24801541417312 25044099279584 29099535810653 30782980031104 31565598167488 33256612355032 42326597542768 43402697480296 45727841988169 48373254334592 49603082834624 50088198559168 58199071621306 63131196334976 66513224710064 84653195085536 86805394960592 91455683976338 99206165669248 100176397118336 116398143242612 133026449420128 169306390171072 173610789921184 182911367952676 232796286485224 266052898840256 320094893917183 338612780342144 347221579842368 365822735905352 465592572970448 532105797680512 640189787834366 694443159684736 731645471810704 931185145940896 1280379575668732 1463290943621408 1862370291881792 2560759151337464 2926581887242816 3724740583763584 5121518302674928 5853163774485632 10243036605349856 20486073210699712 40972146421399424
- Sum of all divisors σ(n): 104631154150003200
- Sum of proper divisors (its aliquot sum) s(n): 63659007728603776
- 40972146421399424 is an abundant number, because the sum of its proper divisors (63659007728603776) is greater than itself. Its abundance is 22686861307204352
Bases of 40972146421399424
- Binary: 100100011000111111110011001110010010000111111111100000002
- Hexadecimal: 0x918FF33921FF80
- Base-36: B7FEW7XTV28
Squares and roots of 40972146421399424
- 40972146421399424 squared (409721464213994242) is 1678716782376593626465282547531776
- 40972146421399424 cubed (409721464213994243) is 68780629807594306198834925743265087438439028097024
-
The
square root of 40972146421399424 is 202415776.1178693897 -
The
cube root of 40972146421399424 is 344743.6208287111
Scales and comparisons
How big is 40972146421399424?- 40,972,146,421,399,424 seconds is equal to 1,302,787,521 years, 1 week, 4 days, 2 hours, 3 minutes, 44 seconds.
-
To count from 1 to 40,972,146,421,399,424 would take you about three billion, nine hundred eight million, three hundred sixty-two thousand, five hundred sixty-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 40972146421399424 cubic inches would be around 28728.6 feet tall.
Recreational maths with 40972146421399424
- 40972146421399424 backwards is 42499312464127904
- The number of decimal digits it has is: 17
- The sum of 40972146421399424's digits is 71
- More coming soon!
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The information we have on file for 40972146421399424 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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