137213656166400
137,213,656,166,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137213656166400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2808 divisors.
137213656166400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 137213656166400:
212 × 3 × 52 × 112 × 172 × 53 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 17 × 17 × 53 × 241)See below for interesting mathematical facts about the number 137213656166400 from the Numbermatics database.
Names of 137213656166400
- Cardinal: 137213656166400 can be written as One hundred thirty-seven trillion, two hundred thirteen billion, six hundred fifty-six million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.372136561664 × 1014
Factors of 137213656166400
Divisors of 137213656166400
- Number of divisors d(n): 2808
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 44 48 50 51 53 55 60 64 66 68 75 80 85 88 96 100 102 106 110 120 121 128 132 136 150 159 160 165 170 176 187 192 200 204 212 220 240 241 242 255 256 264 265 272 275 289 300 318 320 330 340 352 363 374 384 400 408 424 425 440 480 482 484 510 512 528 530 544 550 561 578 583 600 605 636 640 660 680 704 723 726 748 768 795 800 816 825 848 850 867 880 901 935 960 964 968 1020 1024 1056 1060 1088 1100 1122 1156 1166 1200 1205 1210 1272 1275 1280 1320 1325 1360 1408 1445 1446 1452 1496 1536 1590 1600 1632 1650 1696 1700 1734 1749 1760 1802 1815 1870 1920 1928 1936 2040 2048 2057 2112 2120 2176 2200 2244 2312 2332 2400 2410 2420 2544 2550 2560 2640 2650 2651 2703 2720 2805 2816 2890 2892 2904 2915 2992 3025 3072 3179 3180 3200 3264 3300 3392 3400 3468 3498 3520 3604 3615 3630 3740 3840 3856 3872 3975 4080 4096 4097 4114 4224 4240 4335 4352 4400 4488 4505 4624 4664 4675 4800 4820 4840 5088 5100 5120 5280 5300 5302 5406 5440 5610 5632 5780 5784 5808 5830 5984 6025 6050 6144 6171 6358 6360 6400 6413 6528 6600 6784 6800 6936 6996 7040 7208 7225 7230 7260 7480 7680 7712 7744 7950 7953 8160 8194 8228 8448 8480 8670 8704 8745 8800 8976 9010 9075 9248 9328 9350 9537 9600 9640 9680 9911 10176 10200 10240 10285 10560 10600 10604 10812 10880 11220 11264 11560 11568 11616 11660 11968 12050 12100 12288 12291 12342 12716 12720 12773 12800 12826 13056 13200 13255 13515 13568 13600 13872 13992 14025 14080 14416 14450 14460 14520 14575 14960 15317 15360 15424 15488 15895 15900 15906 16320 16388 16456 16896 16960 17340 17408 17490 17600 17952 18020 18075 18150 18496 18656 18700 19074 19200 19239 19280 19360 19822 20352 20400 20480 20485 20570 21120 21200 21208 21624 21675 21760 22440 22525 22528 23120 23136 23232 23320 23936 24100 24200 24582 24684 25432 25440 25546 25600 25652 26112 26400 26510 27030 27136 27200 27744 27984 28050 28160 28832 28900 28920 29040 29150 29161 29733 29920 30634 30720 30848 30855 30976 31790 31800 31812 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9172035840 9414316032 9449976320 9489187840 9495754752 9518150400 9745288080 9783504896 9806579200 9891411200 10089239424 10113034800 10152693760 10351841280 10394973952 10509624400 10698086400 10719816888 10742476800 10787237120 10790630400 11117619200 11163750400 11166475925 11339971584 11387025408 11465044800 11767895040 11812470400 11861484800 11869693440 12181610100 12229381120 12611549280 12690867200 12939801600 12944684544 12993717440 13341143040 13399771110 13452319232 13484046400 13844582400 14174964480 14233781760 14293089184 14387507200 14675257344 14709868800 14837116800 15119962112 15229040640 15286726400 15592460928 15690526720 15764436600 15826257920 16180855680 16242146800 16676428800 16745625600 16815399040 17253068800 17259579392 17718705600 17792227200 17866361480 18344071680 18899952640 18978375680 18991509504 19036300800 19490576160 19613158400 19782822400 20178478848 20226069600 20789947904 21019248800 21396172800 21439633776 21574474240 21581260800 22235238400 22332951850 22679943168 22774050816 22930089600 23535790080 23624940800 23722969600 23739386880 24363220200 24458762240 25223098560 25381734400 25879603200 25889369088 25987434880 26799542220 26904638464 26968092800 28349928960 28467563520 28586178368 29350514688 29419737600 29674233600 30458081280 30573452800 31184921856 31528873200 31652515840 32361711360 32484293600 33352857600 33491251200 33499427775 33630798080 34519158784 35437411200 35584454400 35732722960 36688143360 37799905280 37956751360 38072601600 38981152320 39226316800 39565644800 40356957696 40452139200 41579895808 42038497600 42879267552 43148948480 43162521600 44665903700 45359886336 45860179200 47071580160 47249881600 47445939200 47478773760 48726440400 48917524480 50446197120 50763468800 51759206400 51778738176 51974869760 53599084440 53809276928 53936185600 56699857920 56935127040 57172356736 58839475200 59348467200 61146905600 62369843712 63057746400 64723422720 64968587200 66705715200 66998855550 67261596160 70874822400 71168908800 71465445920 73376286720 75599810560 76145203200 77962304640 78452633600 79131289600 80713915392 80904278400 83159791616 84076995200 85758535104 86297896960 89331807400 91720358400 94499763200 94891878400 94957547520 97452880800 100892394240 103557476352 103949739520 107198168880 107618553856 107872371200 113399715840 113870254080 114344713472 117678950400 118696934400 122293811200 124739687424 126115492800 129446845440 129937174400 133997711100 134523192320 141749644800 142337817600 142930891840 146752573440 152290406400 155924609280 158262579200 161427830784 161808556800 166319583232 168153990400 171517070208 172595793920 178663614800 183440716800 188999526400 189783756800 194905761600 201784788480 207899479040 214396337760 215744742400 226799431680 228689426944 235357900800 237393868800 244587622400 249479374848 252230985600 258893690880 259874348800 267995422200 269046384640 283499289600 284675635200 285861783680 311849218560 322855661568 323617113600 336307980800 343034140416 357327229600 366881433600 377999052800 389811523200 403569576960 415798958080 428792675520 431489484800 457378853888 474787737600 498958749696 504461971200 517787381760 519748697600 535990844400 538092769280 566998579200 569351270400 571723567360 623698437120 647234227200 672615961600 686068280832 714654459200 733762867200 779623046400 807139153920 831597916160 857585351040 862978969600 914757707776 1008923942400 1039497395200 1071981688800 1133997158400 1143447134720 1247396874240 1294468454400 1345231923200 1372136561664 1429308918400 1559246092800 1614278307840 1715170702080 1829515415552 2017847884800 2078994790400 2143963377600 2286894269440 2494793748480 2588936908800 2690463846400 2744273123328 2858617836800 3118492185600 3430341404160 4035695769600 4157989580800 4287926755200 4573788538880 5488546246656 5717235673600 6236984371200 6860682808320 8071391539200 8575853510400 9147577077760 11434471347200 12473968742400 13721365616640 17151707020800 22868942694400 27442731233280 34303414041600 45737885388800 68606828083200 137213656166400
- Sum of all divisors σ(n): 541948169003472
- Sum of proper divisors (its aliquot sum) s(n): 404734512837072
- 137213656166400 is an abundant number, because the sum of its proper divisors (404734512837072) is greater than itself. Its abundance is 267520856670672
Bases of 137213656166400
- Binary: 111110011001011100010110011101111110000000000002
- Hexadecimal: 0x7CCB8B3BF000
- Base-36: 1CMZ304OAO
Squares and roots of 137213656166400
- 137213656166400 squared (1372136561664002) is 18827587438551040744488960000
- 137213656166400 cubed (1372136561664003) is 2583402109236174192931185233120722944000000
-
The
square root of 137213656166400 is 11713823.2941426943 -
The
cube root of 137213656166400 is 51578.1521400835
Scales and comparisons
How big is 137213656166400?- 137,213,656,166,400 seconds is equal to 4,362,969 years, 43 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 137,213,656,166,400 would take you about ten million, nine hundred seven thousand, four hundred twenty-four 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 137213656166400 cubic inches would be around 4298.2 feet tall.
Recreational maths with 137213656166400
- 137213656166400 backwards is 004661656312731
- 137213656166400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137213656166400's digits is 51
- More coming soon!
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"Number 137213656166400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 137213656166400 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/137213656166400/
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The information we have on file for 137213656166400 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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