138093775814400
138,093,775,814,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138093775814400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.
138093775814400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138093775814400:
28 × 3 × 52 × 7 × 17 × 37 × 612 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 37 × 61 × 61 × 439)See below for interesting mathematical facts about the number 138093775814400 from the Numbermatics database.
Names of 138093775814400
- Cardinal: 138093775814400 can be written as One hundred thirty-eight trillion, ninety-three billion, seven hundred seventy-five million, eight hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.380937758144 × 1014
Factors of 138093775814400
Divisors of 138093775814400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 37 40 42 48 50 51 56 60 61 64 68 70 74 75 80 84 85 96 100 102 105 111 112 119 120 122 128 136 140 148 150 160 168 170 175 183 185 192 200 204 210 222 224 238 240 244 255 256 259 272 280 296 300 305 320 336 340 350 357 366 370 384 400 408 420 425 427 439 444 448 476 480 488 510 518 525 544 555 560 592 595 600 610 629 640 672 680 700 714 732 740 768 777 800 816 840 850 854 878 888 896 915 925 952 960 976 1020 1036 1037 1050 1088 1110 1120 1184 1190 1200 1220 1258 1275 1280 1281 1295 1317 1344 1360 1400 1428 1464 1480 1525 1554 1600 1632 1680 1700 1708 1756 1776 1785 1792 1830 1850 1887 1904 1920 1952 2040 2072 2074 2100 2135 2176 2195 2220 2240 2257 2368 2380 2400 2440 2516 2550 2562 2590 2634 2688 2720 2775 2800 2856 2928 2960 2975 3050 3073 3108 3111 3145 3200 3264 3360 3400 3416 3512 3552 3570 3660 3700 3721 3774 3808 3840 3885 3904 4080 4144 4148 4200 4270 4352 4390 4403 4440 4480 4514 4575 4736 4760 4800 4880 5032 5100 5124 5180 5185 5268 5376 5440 5550 5600 5712 5856 5920 5950 6100 6146 6216 6222 6290 6400 6405 6475 6528 6585 6720 6771 6800 6832 7024 7104 7140 7259 7320 7400 7442 7463 7548 7616 7770 7808 8160 8288 8296 8400 8540 8780 8806 8880 8925 8960 9028 9150 9219 9435 9472 9520 9600 9760 10064 10200 10248 10360 10370 10536 10675 10880 10975 11100 11163 11200 11285 11424 11712 11840 11900 12200 12292 12432 12444 12580 12810 12950 13056 13170 13209 13440 13542 13600 13664 14048 14208 14280 14518 14640 14800 14884 14926 15096 15232 15365 15540 15555 15616 15725 15799 16243 16320 16576 16592 16800 17080 17560 17612 17760 17850 18056 18300 18438 18605 18870 19040 19200 19425 19520 20128 20400 20496 20720 20740 21072 21350 21760 21777 21950 22015 22200 22326 22389 22400 22570 22848 23424 23680 23800 24400 24584 24864 24888 25160 25620 25900 25925 26047 26340 26418 26779 26880 27084 27200 27328 28096 28416 28560 29036 29280 29600 29768 29852 30192 30464 30730 31080 31110 31450 31598 32025 32486 32640 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66647575200 67693027360 70744762200 71923841570 72528243600 73181651200 74645284224 75461079680 77061258825 77363459840 77755504400 78641102400 80851156800 81231632832 82198676080 84616284200 86308609884 88863433600 90553295616 93306605280 94326349600 96704324800 98638411296 101539541040 102748345100 104854803200 106636120320 107801542400 107885762355 108308843776 109772476800 113191619520 115078146512 116045189760 116633256600 123298014120 124408807040 126924426300 131517881728 133166611200 133295150400 135386054720 141489524400 143847683140 145056487200 149290568448 150922159360 154122517650 155511008800 157282204800 161702313600 162463265664 164397352160 169232568400 172617219768 177726867200 179809603925 186613210560 188652699200 193408649600 197276822592 203079082080 205496690200 215771524710 219544953600 226383239040 230156293024 232090379520 233266513200 246596028240 248817614080 253848852600 263035763456 266590300800 270772109440 282979048800 287695366280 290112974400 308245035300 311022017600 314564409600 323404627200 324926531328 328794704320 338465136800 345234439536 359619207850 373226421120 377305398400 386817299200 394553645184 406158164160 410993380400 431543049420 452766478080 460312586048 466533026400 493192056480 507697705200 533180601600 539428811775 541544218880 565958097600 575390732560 580225948800 616490070600 622044035200 657589408640 676930273600 690468879072 719238415700 746452842240 754610796800 789107290368 812316328320 821986760800 863086098840 920625172096 933066052800 986384112960 1015395410400 1078857623550 1131916195200 1150781465120 1160451897600 1232980141200 1244088070400 1315178817280 1353860547200 1380937758144 1438476831400 1624632656640 1643973521600 1726172197680 1841250344192 1866132105600 1972768225920 2030790820800 2157715247100 2263832390400 2301562930240 2465960282400 2707721094400 2761875516288 2876953662800 3287947043200 3452344395360 3732264211200 3945536451840 4061581641600 4315430494200 4603125860480 4931920564800 5523751032576 5753907325600 6575894086400 6904688790720 8123163283200 8630860988400 9206251720960 9863841129600 11507814651200 13809377581440 17261721976800 19727682259200 23015629302400 27618755162880 34523443953600 46031258604800 69046887907200 138093775814400
- Sum of all divisors σ(n): 577135370972160
- Sum of proper divisors (its aliquot sum) s(n): 439041595157760
- 138093775814400 is an abundant number, because the sum of its proper divisors (439041595157760) is greater than itself. Its abundance is 300947819343360
Bases of 138093775814400
- Binary: 111110110011000011101100111001111111111000000002
- Hexadecimal: 0x7D987673FF00
- Base-36: 1CY7EKN6YO
Squares and roots of 138093775814400
- 138093775814400 squared (1380937758144002) is 19069890918677766383247360000
- 138093775814400 cubed (1380937758144003) is 2633433241328949932601897643700649984000000
-
The
square root of 138093775814400 is 11751330.8103550553 -
The
cube root of 138093775814400 is 51688.1951997459
Scales and comparisons
How big is 138093775814400?- 138,093,775,814,400 seconds is equal to 4,390,954 years, 47 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 138,093,775,814,400 would take you about ten million, nine hundred seventy-seven thousand, three hundred eighty-seven 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 138093775814400 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138093775814400
- 138093775814400 backwards is 004418577390831
- 138093775814400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138093775814400's digits is 60
- More coming soon!
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"Number 138093775814400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138093775814400 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138093775814400/
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The information we have on file for 138093775814400 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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