137393293987240200
137,393,293,987,240,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137393293987240200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
137393293987240200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 137393293987240200:
23 × 32 × 52 × 77 × 13 × 47 × 151693
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 47 × 151693)See below for interesting mathematical facts about the number 137393293987240200 from the Numbermatics database.
Names of 137393293987240200
- Cardinal: 137393293987240200 can be written as One hundred thirty-seven quadrillion, three hundred ninety-three trillion, two hundred ninety-three billion, nine hundred eighty-seven million, two hundred forty thousand, two hundred.
Scientific notation
- Scientific notation: 1.373932939872402 × 1017
Factors of 137393293987240200
Divisors of 137393293987240200
- 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 18 20 21 24 25 26 28 30 35 36 39 40 42 45 47 49 50 52 56 60 63 65 70 72 75 78 84 90 91 94 98 100 104 105 117 120 126 130 140 141 147 150 156 168 175 180 182 188 195 196 200 210 225 234 235 245 252 260 273 280 282 294 300 312 315 325 329 343 350 360 364 376 390 392 420 423 441 450 455 468 470 490 504 520 525 546 564 585 588 600 611 630 637 650 658 686 700 705 728 735 780 819 840 846 882 900 910 936 940 975 980 987 1029 1050 1092 1128 1170 1175 1176 1222 1225 1260 1274 1300 1316 1365 1372 1400 1410 1470 1560 1575 1638 1645 1692 1715 1764 1800 1820 1833 1880 1911 1950 1960 1974 2058 2100 2115 2184 2205 2275 2303 2340 2350 2401 2444 2450 2520 2548 2600 2632 2730 2744 2820 2925 2940 2961 3055 3087 3150 3185 3276 3290 3384 3430 3525 3528 3640 3666 3675 3822 3900 3948 4095 4116 4200 4230 4277 4410 4459 4550 4606 4680 4700 4802 4888 4900 4935 5096 5145 5460 5499 5640 5733 5850 5880 5922 6110 6174 6300 6370 6552 6580 6825 6860 6909 7050 7203 7332 7350 7644 7800 7896 8190 8225 8232 8460 8554 8575 8820 8918 9100 9165 9212 9400 9555 9604 9800 9870 10290 10575 10920 10998 11025 11466 11515 11700 11844 12005 12220 12348 12600 12740 12831 13160 13377 13650 13720 13818 14100 14406 14664 14700 14805 15275 15288 15435 15925 16121 16380 16450 16807 16920 17108 17150 17640 17836 18200 18330 18424 19110 19208 19740 20475 20580 20727 21150 21385 21609 21996 22050 22295 22932 23030 23400 23688 24010 24440 24675 24696 25480 25662 25725 26754 27300 27495 27636 28200 28665 28812 29400 29610 29939 30550 30870 31213 31850 32242 32760 32900 33614 34216 34300 34545 35672 36015 36660 38220 38493 39480 40131 40950 41160 41454 42300 42770 43218 43992 44100 44590 45825 45864 46060 47775 48020 48363 49350 50421 51324 51450 53508 54600 54990 55272 57330 57575 57624 59220 59878 60025 61100 61740 62426 63700 64155 64484 65800 66885 67228 68600 69090 72030 73320 74025 76440 76986 77175 80262 80605 81900 82908 84035 84600 85540 86436 88200 89180 89817 91650 92120 93639 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10440219907845 10707917854200 10784402981730 10904229681527 11126764981150 11243313746910 11444672552040 11600244342050 11743016580106 11931679894680 11982669979700 12461976778888 12492570829900 12581803478685 12992273663096 13352117977380 13920293210460 14019723876249 14305840690050 14379203975640 14616307870983 14914599868350 14991084995880 15098164174422 15406289973900 15577470973610 16022541572856 16061876781300 16240342078870 16690147471725 16704351852552 16775737971580 17400366513075 17614524870159 17974004969550 18692965168332 18738856244850 19074454253400 19488410494644 19886133157800 20028176966070 20130885565896 20880439815690 20969672464475 21568805963460 21808459363054 22253529962300 22486627493820 23200488684100 23366206460415 23486033160212 23965339959400 24360513118305 24985141659800 25163606957370 26704235954760 26961007454325 27840586420920 28039447752498 28108284367275 28611681380100 29232615741966 29357541450265 29829199736700 30196328348844 30812579947800 31154941947220 32123753562600 32480684157740 32712689044581 33380294943450 33551475943160 34800733026150 35229049740318 35948009939100 37385930336664 37477712489700 37745410436055 38943677434025 38976820989288 40056353932140 40600855197175 41760879631380 41939344928950 43137611926920 43616918726108 44507059924600 44973254987640 46400977368200 46732412920830 46972066320424 48721026236610 50070442415175 50327213914740 52201099539225 52843574610477 53922014908650 54521148407635 56078895504996 56216568734550 57223362760200 58465231483932 58715082900530 59658399473400 60392656697688 62309883894440 62909017393425 64961368315480 65425378089162 66760589886900 69601466052300 70098619381245 70458099480636 71896019878200 73081539354915 74955424979400 75490820872110 76329607770689 77887354868050 80112707864280 81201710394350 83521759262760 83878689857900 87233837452216 88072624350795 93464825841660 97442052473220 98138067133743 100140884830350 100654427829480 104402199078450 105687149220954 107844029817300 109042296815270 112157791009992 112433137469100 116831032302075 116930462967864 117430165801060 121802565591525 125818034786850 130850756178324 133521179773800 139202932104600 140197238762490 140916198961272 146163078709830 146787707251325 150981641744220 152659215541378 155774709736100 162403420788700 163563445222905 167757379715800 176145248701590 186929651683320 188727052180275 194884104946440 196276134267486 200281769660700 208804398156900 211374298441908 215688059634600 218084593630540 224866274938200 228988823312067 233662064604150 234860331602120 243605131183050 251636069573700 261701512356648 264217873052385 272605742038175 280394477524980 292326157419660 293575414502650 301963283488440 305318431082756 311549419472200 324806841577400 327126890445810 350493096906225 352290497403180 365407696774575 377454104360550 381648038853445 392552268534972 400563539321400 417608796313800 422748596883816 436169187261080 440363121753975 457977646624134 467324129208300 487210262366100 490690335668715 503272139147400 528435746104770 545211484076350 560788955049960 584652314839320 587150829005300 610636862165512 654253780891620 686966469936201 700986193812450 704580994806360 730815393549150 754908208721100 763296077706890 785104537069944 817817226114525 880726243507950 915955293248268 934648258416600 974420524732200 981380671337430 1056871492209540 1090422968152700 1144944116560335 1174301658010600 1308507561783240 1321089365261925 1373932939872402 1401972387624900 1461630787098300 1509816417442200 1526592155413780 1635634452229050 1761452487015900 1831910586496536 1908240194267225 1962761342674860 2113742984419080 2180845936305400 2289888233120670 2453451678343575 2642178730523850 2747865879744804 2803944775249800 2923261574196600 3053184310827560 3271268904458100 3434832349681005 3522904974031800 3816480388534450 3925522685349720 4579776466241340 4906903356687150 5284357461047700 5495731759489608 5724720582801675 6542537808916200 6869664699362010 7632960777068900 9159552932482680 9813806713374300 10568714922095400 11449441165603350 13739329398724020 15265921554137800 17174161748405025 19627613426748600 22898882331206700 27478658797448040 34348323496810050 45797764662413400 68696646993620100 137393293987240200
- Sum of all divisors σ(n): 592061711125248000
- Sum of proper divisors (its aliquot sum) s(n): 454668417138007800
- 137393293987240200 is an abundant number, because the sum of its proper divisors (454668417138007800) is greater than itself. Its abundance is 317275123150767600
Bases of 137393293987240200
- Binary: 1111010000001111001111001000100101010000101011001000010002
- Hexadecimal: 0x1E81E7912A15908
- Base-36: 11KTUVWQ9WY0
Squares and roots of 137393293987240200
- 137393293987240200 squared (1373932939872402002) is 18876917232664214094600412496040000
- 137393293987240200 cubed (1373932939872402003) is 2593561838920235081873029447585415212393028808000000
-
The
square root of 137393293987240200 is 370666014.0709425763 -
The
cube root of 137393293987240200 is 516006.5074235415
Scales and comparisons
How big is 137393293987240200?- 137,393,293,987,240,200 seconds is equal to 4,368,681,763 years, 22 weeks, 3 days, 8 hours, 30 minutes.
-
To count from 1 to 137,393,293,987,240,200 would take you about thirteen billion, one hundred six million, forty-five thousand, two hundred ninety 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 137393293987240200 cubic inches would be around 43000.5 feet tall.
Recreational maths with 137393293987240200
- 137393293987240200 backwards is 002042789392393731
- 137393293987240200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137393293987240200's digits is 72
- More coming soon!
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"Number 137393293987240200 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 137393293987240200 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/137393293987240200/
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The information we have on file for 137393293987240200 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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