138319797862400
138,319,797,862,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138319797862400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
138319797862400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138319797862400:
214 × 52 × 73 × 11 × 37 × 41 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 37 × 41 × 59)See below for interesting mathematical facts about the number 138319797862400 from the Numbermatics database.
Names of 138319797862400
- Cardinal: 138319797862400 can be written as One hundred thirty-eight trillion, three hundred nineteen billion, seven hundred ninety-seven million, eight hundred sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.383197978624 × 1014
Factors of 138319797862400
Divisors of 138319797862400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 37 40 41 44 49 50 55 56 59 64 70 74 77 80 82 88 98 100 110 112 118 128 140 148 154 160 164 175 176 185 196 200 205 220 224 236 245 256 259 275 280 287 295 296 308 320 328 343 350 352 370 385 392 400 407 410 413 440 448 451 472 490 512 518 539 550 560 574 590 592 616 640 649 656 686 700 704 740 770 784 800 814 820 826 880 896 902 925 944 980 1024 1025 1036 1078 1100 1120 1148 1180 1184 1225 1232 1280 1295 1298 1312 1372 1400 1408 1435 1475 1480 1517 1540 1568 1600 1628 1640 1652 1715 1760 1792 1804 1813 1850 1888 1925 1960 2009 2035 2048 2050 2065 2072 2156 2183 2200 2240 2255 2296 2360 2368 2419 2450 2464 2560 2590 2596 2624 2695 2744 2800 2816 2849 2870 2891 2950 2960 3034 3080 3136 3157 3200 3245 3256 3280 3304 3430 3520 3584 3608 3626 3700 3773 3776 3850 3920 4018 4070 4096 4100 4130 4144 4312 4366 4400 4480 4510 4543 4592 4720 4736 4838 4900 4928 5120 5180 5192 5248 5390 5488 5600 5632 5698 5740 5782 5900 5920 6068 6160 6272 6314 6400 6475 6490 6512 6560 6608 6860 7040 7168 7175 7216 7252 7400 7546 7552 7585 7700 7840 8036 8140 8192 8200 8260 8288 8575 8624 8732 8800 8960 9020 9065 9086 9184 9440 9472 9676 9800 9856 10045 10175 10240 10325 10360 10384 10496 10619 10780 10915 10976 11200 11264 11275 11396 11480 11564 11800 11840 12095 12136 12320 12544 12628 12691 12800 12950 12980 13024 13120 13216 13475 13720 14063 14080 14245 14336 14350 14432 14455 14504 14800 15092 15104 15170 15281 15400 15680 15785 16072 16225 16280 16384 16400 16520 16576 16687 16933 17150 17248 17464 17600 17920 18040 18130 18172 18368 18865 18880 18944 19352 19600 19712 19943 20090 20237 20350 20480 20650 20720 20768 20992 21238 21560 21830 21952 22099 22400 22528 22550 22715 22792 22960 23128 23600 23680 24013 24190 24272 24640 25088 25256 25382 25600 25900 25960 26048 26240 26432 26609 26950 27440 28126 28160 28490 28672 28700 28864 28910 29008 29600 30184 30208 30340 30562 30800 31360 31570 31801 32144 32450 32560 32800 33040 33152 33374 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4768332800 4784496640 4792121600 4819505152 4824211700 4855029760 4911924640 4917862400 5040808960 5132460032 5198233600 5233043200 5271333760 5310188800 5328189440 5340532736 5403117104 5449523200 5476710400 5513384800 5613628160 5698739200 5718056960 5760204800 5841207680 5861008384 5980620800 6024381440 6068787200 6089359360 6133915648 6139905800 6174990976 6259097600 6301011200 6336225280 6415575040 6512844800 6589167200 6660236800 6675665920 6698295296 6753896380 6797041664 6834995200 6885007360 6935756800 7017035200 7057132544 7147571200 7301509600 7326260480 7332085760 7530476800 7611699200 7629332480 7667394560 7718738720 7859079424 7920281600 8019468800 8065294336 8168652800 8289075200 8344582400 8372869120 8434134016 8442370475 8496302080 8525103104 8606259200 8762736640 8821415680 8981805056 9051750400 9117982720 9157825600 9165107200 9345932288 9536665600 9568993280 9584243200 9639010304 9648423400 9710059520 9823849280 9835724800 10081617920 10264920064 10466086400 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89818050560 91179827200 93459322880 93776134144 96390103040 98238492800 98799855616 100816179200 105426675200 106563788800 106810654720 108062342080 112272563200 112914120704 116824153600 117220167680 120487628800 123499819520 125745270784 128311500800 133513318400 134946144256 135077927600 141142650880 146525209600 149534916608 153347891200 154374774400 157181588480 167457382400 168682680320 169926041600 172899747328 176428313600 179636101120 186918645760 196476985600 197599711232 201632358400 210853350400 213127577600 216124684160 224545126400 233648307200 234440335360 240975257600 246999639040 251490541568 256623001600 267026636800 270155855200 282285301760 293050419200 306695782400 308749548800 314363176960 334914764800 337365360640 339852083200 345799494656 352856627200 359272202240 373837291520 392953971200 395199422464 403264716800 421706700800 432249368320 449090252800 467296614400 468880670720 481950515200 493999278080 502981083136 534053273600 540311710400 564570603520 586100838400 617499097600 628726353920 674730721280 691598989312 705713254400 747674583040 785907942400 790398844928 843413401600 864498736640 898180505600 934593228800 987998556160 1080623420800 1172201676800 1234998195200 1257452707840 1383197978624 1411426508800 1571815884800 1686826803200 1728997473280 1796361011200 1869186457600 1975997112320 2161246841600 2344403353600 2469996390400 2514905415680 2766395957248 2822853017600 3143631769600 3373653606400 3457994946560 3738372915200 3951994224640 4322493683200 4939992780800 5532791914496 6287263539200 6915989893120 8644987366400 9879985561600 12574527078400 13831979786240 17289974732800 19759971123200 27663959572480 34579949465600 69159898931200 138319797862400
- Sum of all divisors σ(n): 466899866496000
- Sum of proper divisors (its aliquot sum) s(n): 328580068633600
- 138319797862400 is an abundant number, because the sum of its proper divisors (328580068633600) is greater than itself. Its abundance is 190260270771200
Bases of 138319797862400
- Binary: 111110111001101000101100110101011000000000000002
- Hexadecimal: 0x7DCD166AC000
- Base-36: 1D138KC3CW
Squares and roots of 138319797862400
- 138319797862400 squared (1383197978624002) is 19132366480695195609333760000
- 138319797862400 cubed (1383197978624003) is 2646385064239116728509873681936154624000000
-
The
square root of 138319797862400 is 11760943.7487983933 -
The
cube root of 138319797862400 is 51716.3796796253
Scales and comparisons
How big is 138319797862400?- 138,319,797,862,400 seconds is equal to 4,398,141 years, 37 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,319,797,862,400 would take you about ten million, nine hundred ninety-five thousand, three hundred fifty-four 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 138319797862400 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138319797862400
- 138319797862400 backwards is 004268797913831
- The number of decimal digits it has is: 15
- The sum of 138319797862400's digits is 68
- More coming soon!
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"Number 138319797862400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138319797862400 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138319797862400/
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The information we have on file for 138319797862400 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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