138195434291200
138,195,434,291,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138195434291200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
138195434291200 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 138195434291200:
214 × 52 × 113 × 13 × 17 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 13 × 17 × 31 × 37)See below for interesting mathematical facts about the number 138195434291200 from the Numbermatics database.
Names of 138195434291200
- Cardinal: 138195434291200 can be written as One hundred thirty-eight trillion, one hundred ninety-five billion, four hundred thirty-four million, two hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.381954342912 × 1014
Factors of 138195434291200
Divisors of 138195434291200
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 25 26 31 32 34 37 40 44 50 52 55 62 64 65 68 74 80 85 88 100 104 110 121 124 128 130 136 143 148 155 160 170 176 185 187 200 208 220 221 242 248 256 260 272 275 286 296 310 320 325 340 341 352 370 374 400 403 407 416 425 440 442 481 484 496 512 520 527 544 550 572 592 605 620 629 640 650 680 682 704 715 740 748 775 800 806 814 832 850 880 884 925 935 962 968 992 1024 1040 1054 1088 1100 1105 1144 1147 1184 1210 1240 1258 1280 1300 1331 1360 1364 1408 1430 1480 1496 1550 1573 1600 1612 1628 1664 1700 1705 1760 1768 1850 1870 1924 1936 1984 2015 2035 2048 2057 2080 2108 2176 2200 2210 2288 2294 2368 2405 2420 2431 2480 2516 2560 2600 2635 2662 2720 2728 2816 2860 2960 2992 3025 3100 3145 3146 3200 3224 3256 3328 3400 3410 3520 3536 3575 3700 3740 3751 3848 3872 3968 4030 4070 4096 4114 4160 4216 4352 4400 4420 4433 4477 4576 4588 4675 4736 4810 4840 4862 4960 5032 5120 5200 5270 5291 5324 5440 5456 5525 5632 5720 5735 5797 5920 5984 6050 6200 6290 6292 6400 6448 6512 6655 6656 6800 6820 6851 6919 7040 7072 7150 7400 7480 7502 7696 7744 7865 7936 8060 8140 8177 8192 8228 8320 8432 8525 8704 8800 8840 8866 8954 9152 9176 9350 9472 9620 9680 9724 9920 10064 10075 10175 10240 10285 10400 10540 10582 10648 10880 10912 11050 11264 11440 11470 11594 11840 11968 12025 12100 12155 12400 12580 12584 12617 12800 12896 13024 13175 13310 13312 13600 13640 13702 13838 14080 14144 14300 14800 14911 14960 15004 15392 15488 15725 15730 15872 16120 16280 16354 16384 16456 16640 16864 17050 17303 17408 17600 17680 17732 17908 18304 18352 18700 18755 18944 19240 19360 19448 19499 19840 20128 20150 20350 20480 20570 20800 21080 21164 21296 21760 21824 22100 22165 22385 22528 22627 22880 22940 23188 23680 23936 24050 24200 24310 24800 25160 25168 25234 25600 25792 26048 26350 26455 26620 26624 26741 27200 27280 27404 27676 28160 28288 28600 28675 28985 29600 29822 29920 30008 30784 30976 31450 31460 31744 32240 32560 32708 32912 33275 33280 33728 34100 34255 34595 34606 34816 35200 35360 35464 35816 36608 36704 37400 37510 37888 38480 38720 38896 38998 39325 39680 40256 40300 40700 40885 40960 41140 41261 41600 42160 42328 42592 43520 43648 44200 44330 44770 45056 45254 45760 45880 46376 47360 47872 48100 48400 48620 48763 49247 49600 50320 50336 50468 51200 51425 51584 52096 52700 52910 53240 53248 53482 54400 54560 54808 55352 56320 56576 57200 57350 57970 58201 59200 59644 59840 60016 60775 61568 61952 62900 62920 63085 63488 63767 64480 65120 65416 65824 66550 66560 67456 68200 68510 69190 69212 69632 70400 70720 70928 71632 73216 73408 74555 74800 75020 75361 75776 76109 76960 77440 77792 77996 78650 79360 80512 80600 81400 81770 81920 82280 82522 83200 84320 84656 85184 86515 87040 87296 88400 88660 89540 89947 90112 90508 91520 91760 92752 93775 94720 95744 96200 96800 97240 97495 97526 98494 99200 100640 100672 100936 102400 102850 103168 104192 105400 105820 106480 106496 106964 108800 109120 109616 110704 110825 111925 112640 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4767825920 4819369984 4832008192 4885302400 4907508320 4993331200 5042892800 5065815040 5080714496 5167923200 5190633800 5191413760 5223792640 5244608512 5305414400 5358073600 5398259152 5476556800 5490918400 5492664320 5572396544 5684715520 5710555136 5746171904 5773539200 5835955840 5959782400 6024212480 6040010240 6107545600 6134385400 6173573120 6234849280 6253187072 6332268800 6350893120 6489267200 6529740800 6555760640 6644011264 6718300160 6747823940 6790930432 6858334208 6865830400 6965495680 7087308800 7105894400 7138193920 7182714880 7294944800 7368458240 7390130176 7530265600 7550012800 7716966400 7793561600 7816483840 7852013312 7938616400 7986790400 8105304064 8194700800 8305014080 8397875200 8434779925 8450252800 8488663040 8572917760 8706869600 8785469440 8788262912 8922742400 8978393600 9210572800 9237662720 9268019200 9337529344 9664016384 9770604800 9815016640 9986662400 10085785600 10131630080 10161428992 10381267600 10382827520 10489217024 10610828800 10716147200 10796518304 10953113600 10981836800 10985328640 11144793088 11369431040 11421110272 11492343808 11547078400 11671911680 11919564800 12048424960 12080020480 12268770800 12506374144 12664537600 12701786240 12978534400 13059481600 13111521280 13288022528 13436600320 13495647880 13581860864 13716668416 13731660800 13930991360 14211788800 14276387840 14365429760 14589889600 14780260352 15060531200 15100025600 15433932800 15587123200 15632967680 15704026624 15877232800 16210608128 16389401600 16610028160 16795750400 16869559850 16900505600 16977326080 17145835520 17413739200 17570938880 17845484800 17956787200 18421145600 18475325440 18675058688 19328032768 19541209600 19630033280 19973324800 20171571200 20263260160 20322857984 20762535200 20765655040 21221657600 21432294400 21593036608 21963673600 21970657280 22289586176 22842220544 23094156800 23343823360 23839129600 24096849920 24160040960 24537541600 25012748288 25329075200 25403572480 25957068800 26118963200 26223042560 26576045056 26991295760 27463321600 27861982720 28423577600 28552775680 28730859520 29179779200 29560520704 30121062400 30200051200 30867865600 31174246400 31265935360 31408053248 31754465600 32778803200 33220056320 33591500800 33739119700 33954652160 34291671040 34827478400 35690969600 35913574400 36842291200 36950650880 37350117376 38656065536 39082419200 39260066560 40526520320 40645715968 41525070400 42443315200 42864588800 43186073216 43927347200 43941314560 44579172352 45684441088 46188313600 46687646720 48320081920 49075083200 50658150400 50807144960 51914137600 52446085120 53152090112 53982591520 54926643200 55723965440 56847155200 57105551360 57461719040 58359558400 60242124800 60400102400 62531870720 62816106496 63508931200 65557606400 66440112640 67183001600 67478239400 67909304320 68583342080 69654956800 71381939200 71827148800 73901301760 74700234752 78164838400 78520133120 81053040640 81291431936 83050140800 84886630400 85729177600 86372146432 87854694400 89158344704 92376627200 93375293440 96640163840 98150166400 101316300800 101614289920 103828275200 106304180224 107965183040 109853286400 111447930880 114211102720 116719116800 120484249600 120800204800 125063741440 125632212992 127017862400 131115212800 132880225280 134956478800 139309913600 142763878400 143654297600 147802603520 149400469504 156329676800 157040266240 162582863872 166100281600 169773260800 171458355200 172744292864 178316689408 184753254400 186750586880 193280327680 196300332800 202632601600 203228579840 212608360448 215930366080 219706572800 222895861760 228422205440 233438233600 241600409600 251264425984 254035724800 262230425600 265760450560 269912957600 278619827200 285527756800 287308595200 312659353600 314080532480 325165727744 332200563200 339546521600 342916710400 345488585728 369506508800 373501173760 392600665600 405265203200 406457159680 425216720896 431860732160 445791723520 466876467200 483200819200 502528851968 508071449600 531520901120 539825915200 557239654400 571055513600 625318707200 628161064960 664401126400 690977171456 739013017600 747002347520 785201331200 812914319360 863721464320 891583447040 933752934400 966401638400 1016142899200 1063041802240 1079651830400 1114479308800 1142111027200 1256322129920 1328802252800 1381954342912 1570402662400 1625828638720 1727442928640 1867505868800 2032285798400 2126083604480 2159303660800 2228958617600 2512644259840 2657604505600 2763908685824 3140805324800 3454885857280 3735011737600 4064571596800 4318607321600 4457917235200 5315209011200 5527817371648 6281610649600 6909771714560 8129143193600 8637214643200 10630418022400 12563221299200 13819543429120 17274429286400 27639086858240 34548858572800 69097717145600 138195434291200
- Sum of all divisors σ(n): 455694269700096
- Sum of proper divisors (its aliquot sum) s(n): 317498835408896
- 138195434291200 is an abundant number, because the sum of its proper divisors (317498835408896) is greater than itself. Its abundance is 179303401117696
Bases of 138195434291200
- Binary: 111110110110000001000011100010101000000000000002
- Hexadecimal: 0x7DB021C54000
- Base-36: 1CZI3TH5OG
Squares and roots of 138195434291200
- 138195434291200 squared (1381954342912002) is 19097978058933376846397440000
- 138195434291200 cubed (1381954342912003) is 2639253371938106801134844894959894528000000
-
The
square root of 138195434291200 is 11755655.4173384991 -
The
cube root of 138195434291200 is 51700.8756030971
Scales and comparisons
How big is 138195434291200?- 138,195,434,291,200 seconds is equal to 4,394,187 years, 17 weeks, 6 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,195,434,291,200 would take you about ten million, nine hundred eighty-five thousand, four hundred sixty-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 138195434291200 cubic inches would be around 4308.4 feet tall.
Recreational maths with 138195434291200
- 138195434291200 backwards is 002192434591831
- 138195434291200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138195434291200's digits is 52
- More coming soon!
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Cite this page
MLA style:
"Number 138195434291200 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 138195434291200 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138195434291200/
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The information we have on file for 138195434291200 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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