131385057773407040
131,385,057,773,407,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131385057773407040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1512 divisors.
131385057773407040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 131385057773407040:
26 × 5 × 292 × 412 × 472 × 73 × 1801
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 29 × 29 × 41 × 41 × 47 × 47 × 73 × 1801)See below for interesting mathematical facts about the number 131385057773407040 from the Numbermatics database.
Names of 131385057773407040
- Cardinal: 131385057773407040 can be written as One hundred thirty-one quadrillion, three hundred eighty-five trillion, fifty-seven billion, seven hundred seventy-three million, four hundred seven thousand and forty.
Scientific notation
- Scientific notation: 1.3138505777340704 × 1017
Factors of 131385057773407040
Divisors of 131385057773407040
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 8 10 16 20 29 32 40 41 47 58 64 73 80 82 94 116 145 146 160 164 188 205 232 235 290 292 320 328 365 376 410 464 470 580 584 656 730 752 820 841 928 940 1160 1168 1189 1312 1363 1460 1504 1640 1681 1682 1801 1856 1880 1927 2117 2209 2320 2336 2378 2624 2726 2920 2993 3008 3280 3362 3364 3431 3602 3760 3854 4205 4234 4418 4640 4672 4756 5452 5840 5945 5986 6560 6724 6728 6815 6862 7204 7520 7708 8405 8410 8468 8836 9005 9280 9512 9635 10585 10904 11045 11680 11890 11972 13120 13448 13456 13630 13724 14408 14965 15040 15416 16810 16820 16936 17155 17672 18010 19024 19270 21170 21808 22090 23360 23780 23944 26896 26912 27260 27448 28816 29930 30832 33620 33640 33872 34310 34481 35344 36020 38048 38540 39527 42340 43616 44180 47560 47888 48749 52229 53792 53824 54520 54896 55883 57632 59860 61393 61664 64061 67240 67280 67744 68620 68962 70688 72040 73841 76096 77080 79007 79054 84647 84680 86797 87232 88360 90569 95120 95776 97498 99499 104458 107584 109040 109792 111766 115264 119720 122713 122786 123328 128122 131473 134480 134560 135488 137240 137924 140671 141376 144080 147682 154160 158014 158108 161257 169294 169360 172405 173594 176720 181138 190240 191552 194996 197635 198998 208916 218080 219584 223532 239440 243745 245426 245572 256244 261145 262946 268960 269120 274480 275848 279415 281342 288160 295364 306965 308320 316028 316216 320305 322514 338588 338720 344810 347188 353440 362276 369205 380480 389992 395035 395270 397996 417832 423235 433985 436160 447064 452845 478880 487490 490852 491144 497495 512488 522290 525892 537920 548960 551696 558830 562684 576320 590728 613565 613930 616640 632056 632432 640610 645028 657365 677176 677440 689620 694376 703355 706880 724552 738410 779984 790070 790540 795992 806285 835664 846470 867970 894128 905690 957760 974980 981704 982288 994990 1024976 1044580 1051784 1097920 1103392 1117660 1125368 1181456 1227130 1227860 1264112 1264864 1281220 1290056 1314730 1354352 1379240 1388752 1406710 1413721 1449104 1476820 1514641 1559968 1580140 1581080 1591984 1612570 1620607 1671328 1692940 1735940 1788256 1811380 1857769 1949960 1963408 1964576 1989980 2049952 2089160 2103568 2141389 2206784 2235320 2250736 2291203 2362912 2454260 2454763 2455720 2517113 2528224 2529728 2562440 2580112 2626501 2629460 2708704 2758480 2777504 2813420 2827442 2885471 2898208 2953640 3027481 3029282 3119936 3160280 3162160 3183968 3225140 3241214 3342656 3385880 3470527 3471880 3558677 3576512 3622760 3713329 3715538 3812717 3899920 3926816 3929152 3978409 3979960 4079459 4099904 4178320 4207136 4282778 4470640 4501472 4582406 4676453 4725824 4908520 4909526 4911440 5034226 5056448 5124880 5160224 5253002 5258920 5390393 5417408 5516960 5555008 5626840 5654884 5767511 5770942 5796416 5907280 6054962 6058564 6179231 6320560 6324320 6367936 6450280 6482428 6611537 6771760 6941054 6943760 7068605 7117354 7245520 7426658 7431076 7573205 7625434 7799840 7853632 7956818 7959920 8103035 8158918 8356640 8414272 8565556 8941280 9002944 9164812 9288845 9352906 9817040 9819052 9822880 10068452 10249760 10320448 10506004 10517840 10706945 10780786 11033920 11253680 11309768 11456015 11535022 11541884 11814560 12109924 12117128 12273815 12358462 12585565 12641120 12648640 12900560 12964856 13132505 13223074 13543520 13882108 13887520 14137210 14234708 14427355 14491040 14853316 14862152 15137405 15146410 15250868 15599680 15913636 15919840 16206070 16317836 16713280 17131112 17352635 17793385 17882560 18329624 18566645 18577690 18705812 19063585 19634080 19638104 19645760 19892045 20136904 20397295 20499520 21012008 21035680 21413890 21561572 22507360 22619536 22912030 23070044 23083768 23382265 23629120 24219848 24234256 24547630 24716924 25171130 25282240 25801120 25929712 26265010 26446148 26951965 27087040 27764216 27775040 28274420 28469416 28837555 28854710 28982080 29706632 29724304 30274810 30292820 30501736 30896155 31827272 31839680 32412140 32635672 33057685 34262224 34705270 35586770 36659248 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3453139659730 3647558516752 3717322820660 3810361003840 3829351727584 3878869206820 3905620028936 3907943419792 4261321282220 4389744663328 4559448145940 4786689659480 4819701312304 4882025036170 4884929274740 5487180829160 5525023455568 5624360349889 5947716513056 6024626640380 6206190730912 6818114051552 6906279319460 7295117033504 7434645641320 7658703455168 7757738413640 7811240057872 7815886839584 8522642564440 8735708628551 8779489326656 9118896291880 9573379318960 9639402624608 9764050072340 9769858549480 10014105013217 10974361658320 11050046911136 11248720699778 11895433026112 12049253280760 12412381461824 13636228103104 13812558638920 14157872604893 14590234067008 14869291282640 15515476827280 15622480115744 15631773679168 17045285128880 17471417257102 18237792583760 19146758637920 19278805249216 19528100144680 19539717098960 20028210026434 21948723316640 22100093822272 22497441399556 24098506561520 27625117277840 28121801749445 28315745209786 29738582565280 31030953654560 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2052891527709485 2265259616782880 2795426761136320 3204513604229440 3284626444335176 4105783055418970 4530519233565760 6569252888670352 8211566110837940 13138505777340704 16423132221675880 26277011554681408 32846264443351760 65692528886703520 131385057773407040
- Sum of all divisors σ(n): 344172739946962056
- Sum of proper divisors (its aliquot sum) s(n): 212787682173555016
- 131385057773407040 is an abundant number, because the sum of its proper divisors (212787682173555016) is greater than itself. Its abundance is 81402624400147976
Bases of 131385057773407040
- Binary: 1110100101100011000000011100100010110000011001011010000002
- Hexadecimal: 0x1D2C6039160CB40
- Base-36: ZXO46AOMCZK
Squares and roots of 131385057773407040
- 131385057773407040 squared (1313850577734070402) is 17262033406121505667361009521561600
- 131385057773407040 cubed (1313850577734070403) is 2267973256349756332041600854104816530493973233664000
-
The
square root of 131385057773407040 is 362470768.1640093857 -
The
cube root of 131385057773407040 is 508372.4325926249
Scales and comparisons
How big is 131385057773407040?- 131,385,057,773,407,040 seconds is equal to 4,177,638,436 years, 27 weeks, 2 days, 21 hours, 57 minutes, 20 seconds.
-
To count from 1 to 131,385,057,773,407,040 would take you about twelve billion, five hundred thirty-two million, nine hundred fifteen thousand, three hundred nine 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 131385057773407040 cubic inches would be around 42364.4 feet tall.
Recreational maths with 131385057773407040
- 131385057773407040 backwards is 040704377750583131
- The number of decimal digits it has is: 18
- The sum of 131385057773407040's digits is 65
- More coming soon!
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"Number 131385057773407040 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 131385057773407040 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/131385057773407040/
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The information we have on file for 131385057773407040 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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