128938815532800
128,938,815,532,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 128938815532800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
128938815532800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 128938815532800:
28 × 37 × 52 × 7 × 133 × 599
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 13 × 599)See below for interesting mathematical facts about the number 128938815532800 from the Numbermatics database.
Names of 128938815532800
- Cardinal: 128938815532800 can be written as One hundred twenty-eight trillion, nine hundred thirty-eight billion, eight hundred fifteen million, five hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.289388155328 × 1014
Factors of 128938815532800
Divisors of 128938815532800
- Number of divisors d(n): 3456
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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 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 100 104 105 108 112 117 120 126 128 130 135 140 144 150 156 160 162 168 169 175 180 182 189 192 195 200 208 210 216 224 225 234 240 243 252 256 260 270 273 280 288 300 312 315 320 324 325 336 338 350 351 360 364 378 384 390 400 405 416 420 432 448 450 455 468 480 486 504 507 520 525 540 546 560 567 576 585 599 600 624 630 640 648 650 672 675 676 700 702 720 728 729 756 768 780 800 810 819 832 840 845 864 896 900 910 936 945 960 972 975 1008 1014 1040 1050 1053 1080 1092 1120 1134 1152 1170 1183 1198 1200 1215 1248 1260 1280 1296 1300 1344 1350 1352 1365 1400 1404 1440 1456 1458 1512 1521 1560 1575 1600 1620 1638 1664 1680 1690 1701 1728 1755 1792 1797 1800 1820 1872 1890 1920 1944 1950 2016 2025 2028 2080 2100 2106 2160 2184 2187 2197 2240 2268 2275 2304 2340 2366 2396 2400 2430 2457 2496 2520 2535 2592 2600 2688 2700 2704 2730 2800 2808 2835 2880 2912 2916 2925 2995 3024 3042 3120 3150 3159 3200 3240 3276 3328 3360 3380 3402 3456 3510 3549 3594 3600 3640 3645 3744 3780 3840 3888 3900 4032 4050 4056 4095 4160 4193 4200 4212 4225 4320 4368 4374 4394 4480 4536 4550 4563 4680 4725 4732 4792 4800 4860 4914 4992 5040 5070 5103 5184 5200 5265 5376 5391 5400 5408 5460 5600 5616 5670 5760 5824 5832 5850 5915 5990 6048 6075 6084 6240 6300 6318 6400 6480 6552 6591 6720 6760 6804 6825 6912 7020 7098 7188 7200 7280 7290 7371 7488 7560 7605 7776 7787 7800 8064 8100 8112 8190 8320 8386 8400 8424 8450 8505 8640 8736 8748 8775 8788 8960 8985 9072 9100 9126 9360 9450 9464 9477 9584 9600 9720 9828 9984 10080 10140 10206 10368 10400 10530 10647 10782 10800 10816 10920 10935 10985 11200 11232 11340 11520 11648 11664 11700 11830 11980 12096 12150 12168 12285 12480 12579 12600 12636 12675 12960 13104 13182 13440 13520 13608 13650 13689 14040 14175 14196 14376 14400 14560 14580 14742 14975 14976 15120 15210 15309 15379 15552 15574 15600 15795 16128 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14390492805 14672145600 14693882112 14739233600 14759479800 14923474020 15160354560 15259031424 15306127200 15349858992 15375484800 15497453790 15743445120 15894824400 15918372288 15989436450 16530617376 16558214400 16581637800 16954479360 17055398880 17219393100 17492716800 17687080320 17711375760 17908168824 17938065600 18165513600 18367352640 18654342525 18892134144 18950443200 19073789280 19187323740 19562860800 19679306400 19897965360 20146689927 20408169600 20466478656 20663271720 21193099200 21224496384 21319248600 21525678720 21798616320 22040823168 22108850400 22139219700 22385211030 22740531840 22959190800 23024788488 23615167680 23842236600 23877558432 23917420800 23984154675 24489803520 24795926064 24872456700 25267257600 25431719040 25583098320 25829089650 26239075200 26530620480 26862253236 26907098400 27248270400 27288638208 27551028960 28257465600 28338201216 28425664800 28780985610 29344291200 29478467200 29518959600 29846948040 30518062848 30612254400 30699717984 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265306204800 268622532360 275510289600 283382012160 286530701184 287809856100 298469480400 306997179840 309949075800 318367445760 322347038832 330612347520 335778165450 341107977600 354227515200 358163376480 367347052800 368396615808 381475785600 383746474800 396734817024 397959307200 402933798540 409329573120 413265434400 429796051776 447704220600 460495769760 472303353600 477551168640 495918521280 503667248175 511661966400 530612409600 537245064720 551020579200 573061402368 575619712200 596938960800 613994359680 619898151600 644694077664 661224695040 671556330900 682215955200 708455030400 716326752960 736793231616 762951571200 767492949600 795918614400 805867597080 826530868800 859592103552 895408441200 920991539520 955102337280 991837042560 1007334496350 1023323932800 1074490129440 1102041158400 1151239424400 1193877921600 1227988719360 1239796303200 1289388155328 1343112661800 1416910060800 1432653505920 1534985899200 1591837228800 1611735194160 1653061737600 1719184207104 1790816882400 1841983079040 1983674085120 2014668992700 2046647865600 2148980258880 2302478848800 2387755843200 2479592606400 2578776310656 2686225323600 2865307011840 3069971798400 3223470388320 3306123475200 3581633764800 3683966158080 4029337985400 4297960517760 4604957697600 4775511686400 4959185212800 5157552621312 5372450647200 6139943596800 6446940776640 7163267529600 8058675970800 8595921035520 9209915395200 9918370425600 10744901294400 12893881553280 14326535059200 16117351941600 18419830790400 21489802588800 25787763106560 32234703883200 42979605177600 64469407766400 128938815532800
- Sum of all divisors σ(n): 593573675520000
- Sum of proper divisors (its aliquot sum) s(n): 464634859987200
- 128938815532800 is an abundant number, because the sum of its proper divisors (464634859987200) is greater than itself. Its abundance is 335696044454400
Bases of 128938815532800
- Binary: 111010101000100111010000100110000101111000000002
- Hexadecimal: 0x7544E84C2F00
- Base-36: 19PDO9O000
Squares and roots of 128938815532800
- 128938815532800 squared (1289388155328002) is 16625218151001426547875840000
- 128938815532800 cubed (1289388155328003) is 2143635936364531233246211641437847552000000
-
The
square root of 128938815532800 is 11355122.8761647489 -
The
cube root of 128938815532800 is 50519.7538029427
Scales and comparisons
How big is 128938815532800?- 128,938,815,532,800 seconds is equal to 4,099,855 years, 26 weeks.
-
To count from 1 to 128,938,815,532,800 would take you about ten million, two hundred forty-nine thousand, six 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 128938815532800 cubic inches would be around 4210 feet tall.
Recreational maths with 128938815532800
- 128938815532800 backwards is 008235518839821
- 128938815532800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 128938815532800's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 128938815532800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 128938815532800 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/128938815532800/
Chicago style:
Numbermatics. 2024. "Number 128938815532800 - Facts about the integer". https://numbermatics.com/n/128938815532800/
The information we have on file for 128938815532800 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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