138552331226400
138,552,331,226,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138552331226400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
138552331226400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138552331226400:
25 × 33 × 52 × 7 × 13 × 53 × 281 × 4733
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 53 × 281 × 4733)See below for interesting mathematical facts about the number 138552331226400 from the Numbermatics database.
Names of 138552331226400
- Cardinal: 138552331226400 can be written as One hundred thirty-eight trillion, five hundred fifty-two billion, three hundred thirty-one million, two hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.385523312264 × 1014
Factors of 138552331226400
Divisors of 138552331226400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 53 54 56 60 63 65 70 72 75 78 80 84 90 91 96 100 104 105 106 108 112 117 120 126 130 135 140 144 150 156 159 160 168 175 180 182 189 195 200 208 210 212 216 224 225 234 240 252 260 265 270 273 280 281 288 300 312 315 318 325 336 350 351 360 364 371 378 390 400 416 420 424 432 450 455 468 477 480 504 520 525 530 540 546 560 562 585 600 624 630 636 650 672 675 689 700 702 720 728 742 756 780 795 800 819 840 843 848 864 900 910 936 945 954 975 1008 1040 1050 1060 1080 1092 1113 1120 1124 1170 1200 1248 1260 1272 1300 1325 1350 1365 1378 1400 1404 1405 1431 1440 1456 1484 1512 1560 1575 1590 1638 1680 1686 1696 1755 1800 1820 1855 1872 1890 1908 1950 1967 2016 2067 2080 2100 2120 2160 2184 2226 2248 2275 2340 2385 2400 2457 2520 2529 2544 2600 2650 2700 2730 2756 2800 2808 2810 2862 2912 2925 2968 3024 3120 3150 3180 3276 3339 3360 3372 3445 3510 3600 3640 3653 3710 3744 3780 3816 3900 3934 3975 4095 4134 4200 4215 4240 4320 4368 4452 4496 4550 4680 4725 4733 4770 4823 4914 5040 5058 5088 5200 5300 5400 5460 5512 5565 5600 5616 5620 5724 5850 5901 5936 6048 6201 6240 6300 6360 6552 6678 6744 6825 6890 7020 7025 7155 7200 7280 7306 7420 7560 7587 7632 7800 7868 7950 8190 8268 8400 8430 8480 8736 8775 8904 8992 9100 9275 9360 9450 9466 9540 9646 9828 9835 10017 10080 10116 10335 10400 10600 10800 10920 10959 11024 11130 11232 11240 11448 11700 11802 11872 11925 12285 12402 12600 12645 12720 13104 13356 13488 13650 13780 14040 14050 14199 14310 14469 14560 14612 14840 14893 15120 15174 15264 15600 15736 15900 16380 16536 16695 16800 16860 17225 17550 17703 17808 18200 18265 18550 18603 18720 18900 18932 19080 19292 19656 19670 20034 20232 20475 20670 21075 21200 21600 21840 21918 22048 22260 22480 22896 23400 23604 23665 23850 24115 24570 24804 25200 25290 25440 25571 26208 26712 26976 27300 27560 27825 28080 28100 28398 28620 28938 29224 29505 29680 29786 30240 30348 31005 31200 31472 31800 32760 32877 33072 33131 33390 33720 34450 35100 35406 35616 35775 36400 36530 37100 37206 37800 37864 37935 38160 38584 39312 39340 40068 40464 40950 41340 42150 42400 42597 43407 43680 43836 44520 44679 44960 45792 46800 47208 47330 47700 48230 49140 49175 49608 50085 50400 50580 51142 51675 53109 53424 54600 54795 55120 55650 56160 56200 56796 57240 57876 58448 59010 59360 59572 60696 61425 61529 62010 62944 63225 63600 65520 65754 66144 66262 66780 67440 68900 70200 70812 70995 71550 72345 72800 73060 74200 74412 74465 75600 75728 75870 76320 76713 77168 78624 78680 80136 80928 81900 82680 83475 84300 85194 86814 87672 88515 89040 89358 91325 93015 93600 94416 94660 95400 96460 98280 98350 98631 99216 99393 100170 101160 102284 103350 104251 106218 106848 109200 109590 110240 111300 112400 113592 114480 115752 116896 118020 118325 119144 120575 121392 122850 123058 124020 126450 127200 127791 127855 130221 131040 131508 132524 133560 134037 134880 137800 140400 141624 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197367993200 197931901752 201091917600 205262712928 206179064325 213157432656 217849577400 219924335280 222038992350 230920552044 236841591840 246534397200 247414877190 253758848400 256578391160 261419492880 263909202336 266446790820 274905419100 288650690055 290466103200 296051989800 304510618080 307894069392 320722988950 326774366100 329886502920 333058488525 346380828066 355262387760 366540558800 373456418400 380638272600 384867586740 394735986400 395863803504 412358128650 426314865312 435699154800 439848670560 444077984700 461841104088 481084483425 493068794400 494829754380 507517696800 513156782320 522838985760 532893581640 549810838200 577301380110 592103979600 615788138784 618537192975 641445977900 653548732200 659773005840 666116977050 692761656132 710524775520 733081117600 761276545200 769735173480 791727607008 824716257300 865952070165 871398309600 888155969400 923682208176 962168966850 989659508760 1026313564640 1065787163280 1099621676400 1154602760220 1184207959200 1237074385950 1282891955800 1307097464400 1319546011680 1332233954100 1385523312264 1443253450275 1522553090400 1539470346960 1649432514600 1731904140330 1776311938800 1847364416352 1924337933700 1979319017520 2131574326560 2199243352800 2309205520440 2474148771900 2565783911600 2614194928800 2664467908200 2771046624528 2886506900550 3078940693920 3298865029200 3463808280660 3552623877600 3848675867400 3958638035040 4329760350825 4618411040880 4948297543800 5131567823200 5328935816400 5542093249056 5773013801100 6597730058400 6927616561320 7697351734800 8659520701650 9236822081760 9896595087600 10657871632800 11546027602200 13855233122640 15394703469600 17319041403300 19793190175200 23092055204400 27710466245280 34638082806600 46184110408800 69276165613200 138552331226400
- Sum of all divisors σ(n): 630741459962880
- Sum of proper divisors (its aliquot sum) s(n): 492189128736480
- 138552331226400 is an abundant number, because the sum of its proper divisors (492189128736480) is greater than itself. Its abundance is 353636797510080
Bases of 138552331226400
- Binary: 111111000000011001110100111110001001101001000002
- Hexadecimal: 0x7E033A7C4D20
- Base-36: 1D4228P3C0
Squares and roots of 138552331226400
- 138552331226400 squared (1385523312264002) is 19196748488270056528056960000
- 138552331226400 cubed (1385523312264003) is 2659754255016686347208399506725855744000000
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The
square root of 138552331226400 is 11770825.4267234805 -
The
cube root of 138552331226400 is 51745.3440825297
Scales and comparisons
How big is 138552331226400?- 138,552,331,226,400 seconds is equal to 4,405,535 years, 29 weeks, 1 day, 18 hours.
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To count from 1 to 138,552,331,226,400 would take you about eleven million, thirteen thousand, eight hundred thirty-eight 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 138552331226400 cubic inches would be around 4312.1 feet tall.
Recreational maths with 138552331226400
- 138552331226400 backwards is 004622133255831
- 138552331226400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138552331226400's digits is 45
- More coming soon!
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The information we have on file for 138552331226400 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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