138268144700344800
138,268,144,700,344,800 is an even composite number composed of four prime numbers multiplied together.
138268144700344800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138268144700344800:
25 × 32 × 52 × 797
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 79 × 79 × 79 × 79 × 79 × 79 × 79)See below for interesting mathematical facts about the number 138268144700344800 from the Numbermatics database.
Names of 138268144700344800
- Cardinal: 138268144700344800 can be written as One hundred thirty-eight quadrillion, two hundred sixty-eight trillion, one hundred forty-four billion, seven hundred million, three hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382681447003448 × 1017
Factors of 138268144700344800
Divisors of 138268144700344800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 79 80 90 96 100 120 144 150 158 160 180 200 225 237 240 288 300 316 360 395 400 450 474 480 600 632 711 720 790 800 900 948 1185 1200 1264 1422 1440 1580 1800 1896 1975 2370 2400 2528 2844 3160 3555 3600 3792 3950 4740 5688 5925 6241 6320 7110 7200 7584 7900 9480 11376 11850 12482 12640 14220 15800 17775 18723 18960 22752 23700 24964 28440 31205 31600 35550 37446 37920 47400 49928 56169 56880 62410 63200 71100 74892 93615 94800 99856 112338 113760 124820 142200 149784 156025 187230 189600 199712 224676 249640 280845 284400 299568 312050 374460 449352 468075 493039 499280 561690 568800 599136 624100 748920 898704 936150 986078 998560 1123380 1248200 1404225 1479117 1497840 1797408 1872300 1972156 2246760 2465195 2496400 2808450 2958234 2995680 3744600 3944312 4437351 4493520 4930390 4992800 5616900 5916468 7395585 7489200 7888624 8874702 8987040 9860780 11233800 11832936 12325975 14791170 14978400 15777248 17749404 19721560 22186755 22467600 23665872 24651950 29582340 35498808 36977925 38950081 39443120 44373510 44935200 47331744 49303900 59164680 70997616 73955850 77900162 78886240 88747020 98607800 110933775 116850243 118329360 141995232 147911700 155800324 177494040 194750405 197215600 221867550 233700486 236658720 295823400 311600648 350550729 354988080 389500810 394431200 443735100 467400972 584251215 591646800 623201296 701101458 709976160 779001620 887470200 934801944 973752025 1168502430 1183293600 1246402592 1402202916 1558003240 1752753645 1774940400 1869603888 1947504050 2337004860 2804405832 2921256075 3077056399 3116006480 3505507290 3549880800 3739207776 3895008100 4674009720 5608811664 5842512150 6154112798 6232012960 7011014580 7790016200 8763768225 9231169197 9348019440 11217623328 11685024300 12308225596 14022029160 15385281995 15580032400 17527536450 18462338394 18696038880 23370048600 24616451192 27693507591 28044058320 30770563990 31160064800 35055072900 36924676788 46155845985 46740097200 49232902384 55387015182 56088116640 61541127980 70110145800 73849353576 76926409975 92311691970 93480194400 98465804768 110774030364 123082255960 138467537955 140220291600 147698707152 153852819950 184623383940 221548060728 230779229925 243087455521 246164511920 276935075910 280440583200 295397414304 307705639900 369246767880 443096121456 461558459850 486174911042 492329023840 553870151820 615411279800 692337689775 729262366563 738493535760 886192242912 923116919700 972349822084 1107740303640 1215437277605 1230822559600 1384675379550 1458524733126 1476987071520 1846233839400 1944699644168 2187787099689 2215480607280 2430874555210 2461645119200 2769350759100 2917049466252 3646311832815 3692467678800 3889399288336 4375574199378 4430961214560 4861749110420 5538701518200 5834098932504 6077186388025 7292623665630 7384935357600 7778798576672 8751148398756 9723498220840 10938935498445 11077403036400 11668197865008 12154372776050 14585247331260 17502296797512 18231559164075 19203908986159 19446996441680 21877870996890 22154806072800 23336395730016 24308745552100 29170494662520 35004593595024 36463118328150 38407817972318 38893992883360 43755741993780 48617491104200 54694677492225 57611726958477 58340989325040 70009187190048 72926236656300 76815635944636 87511483987560 96019544930795 97234982208400 109389354984450 115223453916954 116681978650080 145852473312600 153631271889272 172835180875431 175022967975120 192039089861590 194469964416800 218778709968900 230446907833908 288058634792385 291704946625200 307262543778544 345670361750862 350045935950240 384078179723180 437557419937800 460893815667816 480097724653975 576117269584770 583409893250400 614525087557088 691340723501724 768156359446360 864175904377155 875114839875600 921787631335632 960195449307950 1152234539169540 1382681447003448 1440293173961925 1536312718892720 1728351808754310 1750229679751200 1843575262671264 1920390898615900 2304469078339080 2765362894006896 2880586347923850 3072625437785440 3456703617508620 3840781797231800 4320879521885775 4608938156678160 5530725788013792 5761172695847700 6913407235017240 7681563594463600 8641759043771550 9217876313356320 11522345391695400 13826814470034480 15363127188927200 17283518087543100 23044690783390800 27653628940068960 34567036175086200 46089381566781600 69134072350172400 138268144700344800
- Sum of all divisors σ(n): 493818917624585280
- Sum of proper divisors (its aliquot sum) s(n): 355550772924240480
- 138268144700344800 is an abundant number, because the sum of its proper divisors (355550772924240480) is greater than itself. Its abundance is 217282628223895680
Bases of 138268144700344800
- Binary: 1111010110011101000100101001000001001110111001001111000002
- Hexadecimal: 0x1EB3A25209DC9E0
- Base-36: 11TFYSS0VQW0
Squares and roots of 138268144700344800
- 138268144700344800 squared (1382681447003448002) is 19118079838875487802585238887040000
- 138268144700344800 cubed (1382681447003448003) is 2643421429554380546699385112711645065056251392000000
-
The
square root of 138268144700344800 is 371844247.9054164419 -
The
cube root of 138268144700344800 is 517099.4134573117
Scales and comparisons
How big is 138268144700344800?- 138,268,144,700,344,800 seconds is equal to 4,396,499,310 years, 6 days, 14 hours.
-
To count from 1 to 138,268,144,700,344,800 would take you about thirteen billion, one hundred eighty-nine million, four hundred ninety-seven thousand, nine hundred thirty 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 138268144700344800 cubic inches would be around 43091.6 feet tall.
Recreational maths with 138268144700344800
- 138268144700344800 backwards is 008443007441862831
- The number of decimal digits it has is: 18
- The sum of 138268144700344800's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138268144700344800 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 138268144700344800 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138268144700344800/
Chicago style:
Numbermatics. 2024. "Number 138268144700344800 - Facts about the integer". https://numbermatics.com/n/138268144700344800/
The information we have on file for 138268144700344800 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!
Keywords: Divisors of 138268144700344800, math, Factors of 138268144700344800, curriculum, school, college, exams, university, Prime factorization of 138268144700344800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred sixty-eight trillion, one hundred forty-four billion, seven hundred million, three hundred forty-four thousand, eight hundred.