138268035259200
138,268,035,259,200 is an even composite number composed of eight prime numbers multiplied together.
138268035259200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 138268035259200:
26 × 32 × 52 × 7 × 112 × 29 × 331 × 1181
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 29 × 331 × 1181)See below for interesting mathematical facts about the number 138268035259200 from the Numbermatics database.
Names of 138268035259200
- Cardinal: 138268035259200 can be written as One hundred thirty-eight trillion, two hundred sixty-eight billion, thirty-five million, two hundred fifty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.382680352592 × 1014
Factors of 138268035259200
Divisors of 138268035259200
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 29 30 32 33 35 36 40 42 44 45 48 50 55 56 58 60 63 64 66 70 72 75 77 80 84 87 88 90 96 99 100 105 110 112 116 120 121 126 132 140 144 145 150 154 160 165 168 174 175 176 180 192 198 200 203 210 220 224 225 231 232 240 242 252 261 264 275 280 288 290 300 308 315 319 320 330 331 336 348 350 352 360 363 385 396 400 406 420 435 440 448 450 462 464 480 484 495 504 522 525 528 550 560 576 580 600 605 609 616 630 638 660 662 672 693 696 700 704 720 725 726 770 792 800 812 825 840 847 870 880 900 924 928 957 960 968 990 993 1008 1015 1044 1050 1056 1089 1100 1120 1155 1160 1181 1200 1210 1218 1232 1260 1276 1305 1320 1324 1344 1386 1392 1400 1440 1450 1452 1540 1575 1584 1595 1600 1624 1650 1655 1680 1694 1740 1760 1800 1815 1827 1848 1856 1914 1925 1936 1980 1986 2016 2030 2088 2100 2112 2175 2178 2200 2233 2240 2310 2317 2320 2362 2400 2420 2436 2464 2475 2520 2541 2552 2610 2640 2648 2772 2784 2800 2871 2880 2900 2904 2979 3025 3045 3080 3150 3168 3190 3248 3300 3310 3360 3388 3465 3480 3509 3520 3543 3600 3630 3641 3654 3696 3828 3850 3872 3960 3972 4032 4060 4176 4200 4235 4350 4356 4400 4466 4620 4634 4640 4724 4785 4800 4840 4872 4928 4950 4965 5040 5075 5082 5104 5220 5280 5296 5445 5544 5568 5600 5742 5775 5800 5808 5905 5958 6050 6090 6160 6300 6336 6380 6496 6525 6600 6620 6699 6720 6776 6930 6951 6960 7018 7086 7200 7260 7282 7308 7392 7623 7656 7700 7744 7920 7944 7975 8120 8267 8275 8352 8400 8470 8700 8712 8800 8932 9075 9135 9240 9268 9280 9448 9570 9599 9680 9744 9900 9930 10080 10150 10164 10208 10440 10527 10560 10592 10629 10890 10923 11088 11165 11200 11484 11550 11585 11600 11616 11810 11916 12100 12180 12320 12600 12705 12760 12991 12992 13050 13200 13240 13398 13552 13860 13902 13920 14036 14172 14355 14400 14520 14564 14616 14784 14895 15225 15246 15312 15400 15840 15888 15950 16240 16534 16550 16704 16800 16940 17325 17400 17424 17545 17600 17715 17864 18150 18205 18270 18480 18536 18896 19140 19198 19360 19488 19800 19860 20097 20160 20300 20328 20416 20853 20880 21054 21175 21184 21258 21780 21846 22176 22330 22968 23100 23170 23200 23232 23620 23832 23925 24200 24360 24563 24640 24801 24825 25200 25410 25487 25520 25982 26100 26400 26480 26796 27104 27225 27720 27804 27840 28072 28344 28710 28797 29040 29128 29232 29525 29790 30450 30492 30624 30800 31581 31680 31776 31900 32480 32769 33068 33100 33495 33600 33880 34249 34650 34755 34800 34848 35090 35430 35728 36300 36410 36540 36960 37072 37792 38115 38280 38396 38720 38973 38976 39600 39720 40051 40194 40600 40656 41335 41706 41760 42108 42350 42516 43560 43692 44352 44660 45675 45936 46200 46340 46400 47240 47664 47850 47995 48400 48720 49126 49602 49650 50400 50820 50974 51040 51964 52200 52635 52800 52960 53145 53592 54208 54450 54615 55440 55608 55825 56144 56688 57420 57594 57925 58080 58256 58464 59050 59580 60900 60984 61248 61600 63162 63525 63552 63800 64955 64960 65538 66136 66200 66990 67193 67760 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179568876960 190451839200 190714531392 192038937860 196403459175 197525764656 198660970200 199520974400 205756004850 208864101600 209497023120 216721058400 219473071840 224461096200 227041108800 228542207040 230446725432 238393164240 240048672325 246907205820 251396427744 261871278900 263367686208 264881293600 274341339800 279329364160 285677758800 288058406790 297991455300 299281461600 307262300576 308634007275 314245534680 317857552320 329209607760 340561663200 345670088148 349161705200 359137753920 380903678400 384077875720 392806918350 395051529312 397321940400 411512009700 417728203200 418994046240 432087610185 433442116800 438946143680 448922192400 460893450864 476786328480 480097344650 493814411640 502792855488 523742557800 529762587200 548682679600 571355517600 576116813580 595982910600 598562923200 614524601152 617268014550 628491069360 658419215520 681123326400 691340176296 698323410400 720146016975 768155751440 785613836700 790103058624 794643880800 823024019400 837988092480 864175220370 897844384800 921786901728 953572656960 960194689300 987628823280 1047485115600 1097365359200 1142711035200 1152233627160 1191965821200 1234536029100 1256982138720 1316838431040 1382680352592 1396646820800 1440292033950 1536311502880 1571227673400 1589287761600 1646048038800 1728350440740 1795688769600 1843573803456 1920389378600 1975257646560 2094970231200 2160438050925 2194730718400 2304467254320 2383931642400 2469072058200 2513964277440 2765360705184 2880584067900 3072623005760 3142455346800 3292096077600 3456700881480 3840778757200 3950515293120 4189940462400 4320876101850 4608934508640 4767863284800 4938144116400 5530721410368 5761168135800 6284910693600 6584192155200 6913401762960 7681557514400 8641752203700 9217869017280 9876288232800 11522336271600 12569821387200 13826803525920 15363115028800 17283504407400 19752576465600 23044672543200 27653607051840 34567008814800 46089345086400 69134017629600 138268035259200
- Sum of all divisors σ(n): 641102115588480
- Sum of proper divisors (its aliquot sum) s(n): 502834080329280
- 138268035259200 is an abundant number, because the sum of its proper divisors (502834080329280) is greater than itself. Its abundance is 364566045070080
Bases of 138268035259200
- Binary: 111110111000001000010010010000000011011010000002
- Hexadecimal: 0x7DC109201B40
- Base-36: 1D0FGI7V40
Squares and roots of 138268035259200
- 138268035259200 squared (1382680352592002) is 19118049574439374411184640000
- 138268035259200 cubed (1382680352592003) is 2643415152645716976158468042361458688000000
-
The
square root of 138268035259200 is 11758742.9285276919 -
The
cube root of 138268035259200 is 51709.9277026837
Scales and comparisons
How big is 138268035259200?- 138,268,035,259,200 seconds is equal to 4,396,495 years, 43 weeks, 1 day, 4 hours.
-
To count from 1 to 138,268,035,259,200 would take you about ten million, nine hundred ninety-one thousand, two hundred thirty-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 138268035259200 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138268035259200
- 138268035259200 backwards is 002952530862831
- The number of decimal digits it has is: 15
- The sum of 138268035259200's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138268035259200 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 138268035259200 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/138268035259200/
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The information we have on file for 138268035259200 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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