137313875384400
137,313,875,384,400 is an even composite number composed of nine prime numbers multiplied together.
What does the number 137313875384400 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2880 divisors.
137313875384400 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 137313875384400:
24 × 3 × 52 × 112 × 13 × 37 × 113 × 127 × 137
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 13 × 37 × 113 × 127 × 137)See below for interesting mathematical facts about the number 137313875384400 from the Numbermatics database.
Names of 137313875384400
- Cardinal: 137313875384400 can be written as One hundred thirty-seven trillion, three hundred thirteen billion, eight hundred seventy-five million, three hundred eighty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.373138753844 × 1014
Factors of 137313875384400
Divisors of 137313875384400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 33 37 39 40 44 48 50 52 55 60 65 66 74 75 78 80 88 100 104 110 111 113 120 121 127 130 132 137 143 148 150 156 165 176 185 195 200 208 220 222 226 240 242 254 260 264 274 275 286 296 300 312 325 330 339 363 370 381 390 400 407 411 429 440 444 452 481 484 508 520 528 548 550 555 565 572 592 600 605 624 635 650 660 678 685 715 726 740 762 780 814 822 825 858 880 888 904 925 962 968 975 1016 1040 1096 1100 1110 1130 1144 1200 1210 1221 1243 1270 1300 1320 1356 1370 1397 1430 1443 1452 1469 1480 1507 1524 1560 1573 1628 1644 1650 1651 1695 1716 1776 1781 1808 1815 1850 1905 1924 1936 1950 2032 2035 2055 2145 2192 2200 2220 2260 2288 2405 2420 2442 2486 2540 2600 2640 2712 2740 2775 2794 2825 2860 2886 2904 2938 2960 3014 3025 3048 3120 3146 3175 3256 3288 3300 3302 3390 3425 3432 3562 3575 3630 3700 3729 3810 3848 3900 4070 4110 4181 4191 4290 4400 4407 4440 4477 4520 4521 4699 4719 4810 4840 4884 4953 4972 5069 5080 5200 5291 5343 5424 5480 5550 5588 5650 5720 5772 5808 5876 6028 6050 6096 6105 6215 6292 6350 6512 6576 6600 6604 6780 6850 6864 6985 7124 7150 7215 7260 7345 7400 7458 7535 7620 7696 7800 7865 8140 8220 8255 8362 8382 8475 8580 8814 8880 8905 8954 9040 9042 9075 9398 9438 9525 9620 9680 9768 9906 9944 10138 10160 10175 10275 10582 10686 10725 10960 11100 11176 11300 11440 11544 11752 12025 12056 12100 12210 12430 12543 12584 12700 13200 13208 13431 13560 13673 13700 13970 14097 14248 14300 14351 14430 14520 14690 14800 14916 15070 15207 15240 15367 15481 15600 15730 15873 16159 16280 16440 16510 16577 16724 16764 16950 17160 17399 17628 17810 17908 18084 18150 18161 18645 18796 18876 19050 19240 19536 19591 19812 19888 20276 20350 20550 20905 20955 21164 21372 21450 22035 22200 22352 22385 22600 22605 23088 23495 23504 23595 24050 24112 24200 24420 24765 24860 25086 25168 25345 25400 26416 26455 26715 26862 27120 27346 27400 27940 28194 28496 28600 28702 28860 29040 29380 29832 30140 30414 30480 30525 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114428229487 120029611350 121516703880 123706194040 124830795804 125286382650 132032572485 135151452150 140834743984 141853177050 142737916200 148447432848 151895879850 154632742550 156038494755 160039481800 166441061072 167048510200 168690264600 176043429980 180201936200 185559291060 189137569400 192047378160 200458212240 202527839800 208051326340 211252115976 216242323440 220054287475 226965083280 228856458974 231949113825 240059222700 243033407760 247412388080 249661591608 250572765300 260064157925 264065144970 270302904300 283706354100 285475832400 303791759700 309265485100 312076989510 320078963600 334097020400 337380529200 343284688461 352086859960 360403872400 371118582120 378275138800 405055679600 416102652680 422504231952 440108574950 457712917948 463898227650 480118445400 499323183216 501145530600 520128315850 528130289940 540605808600 567412708200 572141147435 607583519400 618530970200 624153979020 660162862425 686569376922 704173719920 742237164240 780192473775 832205305360 880217149900 915425835896 927796455300 960236890800 1002291061200 1040256631700 1056260579880 1081211617200 1134825416400 1144282294870 1215167038800 1237061940400 1248307958040 1320325724850 1373138753844 1560384947550 1716423442305 1760434299800 1830851671792 1855592910600 2080513263400 2112521159760 2288564589740 2496615916080 2640651449700 2746277507688 2860705737175 3120769895100 3432846884610 3520868599600 3711185821200 4161026526800 4577129179480 5281302899400 5492555015376 5721411474350 6241539790200 6865693769220 8582117211525 9154258358960 10562605798800 11442822948700 12483079580400 13731387538440 17164234423050 22885645897400 27462775076880 34328468846100 45771291794800 68656937692200 137313875384400
- Sum of all divisors σ(n): 547697249132544
- Sum of proper divisors (its aliquot sum) s(n): 410383373748144
- 137313875384400 is an abundant number, because the sum of its proper divisors (410383373748144) is greater than itself. Its abundance is 273069498363744
Bases of 137313875384400
- Binary: 111110011100010111000001100001111011000010100002
- Hexadecimal: 0x7CE2E0C3D850
- Base-36: 1CO94G2BTC
Squares and roots of 137313875384400
- 137313875384400 squared (1373138753844002) is 18855100373082532247763360000
- 137313875384400 cubed (1373138753844003) is 2589066902989808781165772440660235584000000
-
The
square root of 137313875384400 is 11718100.3317261283 -
The
cube root of 137313875384400 is 51590.7064398031
Scales and comparisons
How big is 137313875384400?- 137,313,875,384,400 seconds is equal to 4,366,156 years, 25 weeks, 6 days, 2 hours, 20 minutes.
-
To count from 1 to 137,313,875,384,400 would take you about ten million, nine hundred fifteen thousand, three hundred ninety-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 137313875384400 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137313875384400
- 137313875384400 backwards is 004483578313731
- The number of decimal digits it has is: 15
- The sum of 137313875384400's digits is 57
- More coming soon!
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"Number 137313875384400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 137313875384400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137313875384400/
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The information we have on file for 137313875384400 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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