138138940761600
138,138,940,761,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138138940761600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3240 divisors.
138138940761600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 138138940761600:
29 × 3 × 52 × 172 × 192 × 292 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 19 × 19 × 29 × 29 × 41)See below for interesting mathematical facts about the number 138138940761600 from the Numbermatics database.
Names of 138138940761600
- Cardinal: 138138940761600 can be written as One hundred thirty-eight trillion, one hundred thirty-eight billion, nine hundred forty million, seven hundred sixty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.381389407616 × 1014
Factors of 138138940761600
Divisors of 138138940761600
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 29 30 32 34 38 40 41 48 50 51 57 58 60 64 68 75 76 80 82 85 87 95 96 100 102 114 116 120 123 128 136 145 150 152 160 164 170 174 190 192 200 204 205 228 232 240 246 255 256 272 285 289 290 300 304 320 323 328 340 348 361 380 384 400 408 410 425 435 456 464 475 480 492 493 510 512 544 551 570 578 580 600 608 615 640 646 656 680 696 697 722 725 760 768 779 800 816 820 841 850 867 870 912 928 950 960 969 984 986 1020 1025 1083 1088 1102 1140 1156 1160 1189 1200 1216 1230 1275 1280 1292 1312 1360 1392 1394 1425 1444 1445 1450 1479 1520 1536 1558 1600 1615 1632 1640 1653 1682 1700 1734 1740 1805 1824 1856 1900 1920 1938 1968 1972 2040 2050 2091 2166 2175 2176 2204 2280 2312 2320 2337 2378 2400 2432 2460 2465 2523 2550 2560 2584 2624 2720 2755 2784 2788 2850 2888 2890 2900 2958 3040 3075 3116 3200 3230 3264 3280 3306 3364 3400 3468 3480 3485 3567 3610 3648 3712 3800 3840 3876 3895 3936 3944 4080 4100 4182 4205 4332 4335 4350 4352 4408 4560 4624 4640 4674 4756 4800 4845 4864 4920 4930 5046 5100 5168 5248 5415 5440 5491 5510 5568 5576 5700 5776 5780 5800 5916 5945 6080 6137 6150 6232 6400 6460 6528 6560 6612 6728 6800 6936 6960 6970 7134 7220 7225 7296 7395 7424 7600 7680 7752 7790 7872 7888 8075 8160 8200 8265 8364 8381 8410 8664 8670 8700 8704 8816 9025 9120 9248 9280 9348 9367 9512 9600 9690 9728 9840 9860 10092 10200 10336 10455 10469 10496 10830 10880 10982 11020 11136 11152 11400 11552 11560 11600 11685 11832 11849 11890 12160 12274 12300 12325 12464 12615 12800 12920 13056 13120 13224 13243 13456 13600 13775 13872 13920 13940 14268 14297 14440 14450 14592 14790 14801 14848 15200 15504 15580 15744 15776 15979 16150 16320 16400 16473 16530 16728 16762 16820 17328 17340 17400 17425 17632 17835 18050 18240 18411 18496 18560 18696 18734 19024 19200 19380 19475 19680 19720 20184 20213 20400 20672 20910 20938 20992 21025 21660 21675 21760 21964 22040 22272 22304 22591 22800 23104 23120 23200 23370 23664 23698 23780 24225 24320 24548 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3502508640 3509627560 3546571008 3563956160 3597368249 3630649200 3686851200 3694344800 3721415430 3734292300 3736009216 3751532800 3786703420 3826563456 3872692480 3886092800 3917279400 3963814656 3969509792 3983245120 3986003600 4006233600 4106389440 4120598400 4128973600 4178431360 4192889600 4211553072 4232197940 4276747392 4322515200 4378135800 4387034450 4398348800 4433213760 4454945200 4501839360 4544044104 4647230976 4666540800 4670011520 4733379275 4779894144 4783204320 4831046400 4840865600 4915801600 4954768320 4961887240 4979056400 5014117632 5031467520 5078637528 5102084608 5132986800 5215545600 5223039200 5264441340 5290247425 5345934240 5475185920 5494131200 5541517200 5604013824 5615404096 5627299200 5680055130 5702329856 5809038720 5829139200 5837514400 5910951680 5954264688 5974867680 5979005400 6058725472 6114777600 6193460400 6202359050 6267647040 6289334400 6348296910 6373192192 6377605760 6570223104 6580551675 6597523200 6606357760 6682417800 6771516704 6834163200 6843982400 7005017280 7019255120 7093142016 7127912320 7194736498 7261298400 7373702400 7388689600 7442830860 7468584600 7503065600 7573406840 7653126912 7745384960 7834558800 7927629312 7939019584 7966490240 7972007200 8212778880 8241196800 8257947200 8356862720 8385779200 8423106144 8464395880 8553494784 8645030400 8756271600 8774068900 8866427520 8909890400 9088088208 9303538575 9333081600 9340023040 9466758550 9559788288 9566408640 9662092800 9681731200 9909536640 9923774480 9958112800 10028235264 10157275056 10265973600 10431091200 10446078400 10528882680 10580494850 10691868480 10792104747 10950371840 11083034400 11208027648 11230808192 11254598400 11360110260 11618077440 11658278400 11675028800 11821903360 11908529376 11949735360 11958010800 12117450944 12386920800 12404718100 12535294080 12578668800 12696593820 12755211520 13161103350 13195046400 13212715520 13364835600 13543033408 13687964800 14010034560 14038510240 14200137825 14255824640 14389472996 14522596800 14747404800 14777379200 14885661720 14937169200 15146813680 15306253824 15669117600 15870742275 15878039168 15932980480 15944014400 16425557760 16482393600 16515894400 16713725440 16846212288 16928791760 17106989568 17512543200 17548137800 17732855040 17819780800 17986841245 18176176416 18607077150 18680046080 18933517100 19119576576 19132817280 19363462400 19819073280 19847548960 19916225600 20314550112 20531947200 20892156800 21057765360 21160989700 21383736960 21584209494 22166068800 22461616384 22509196800 22720220520 23236154880 23350057600 23817058752 23899470720 23916021600 24234901888 24773841600 24809436200 25070588160 25157337600 25393187640 25510423040 26322206700 26729671200 27086066816 27375929600 28020069120 28077020480 28400275650 28511649280 28778945992 29045193600 29554758400 29771323440 29874338400 30293627360 31338235200 31741484550 31756078336 31865960960 31888028800 32851115520 33031788800 33692424576 33857583520 35025086400 35096275600 35465710080 35639561600 35973682490 36352352832 37214154300 37867034200 38265634560 38726924800 39638146560 39695097920 39832451200 40629100224 41063894400 41784313600 42115530720 42321979400 42767473920 43168418988 44332137600 44923232768 45440441040 46700115200 47634117504 47798941440 47832043200 48469803776 49547683200 49618872400 50141176320 50786375280 52644413400 53459342400 53960523735 54172133632 54751859200 56040138240 56154040960 56800551300 57557891984 58090387200 59109516800 59542646880 59748676800 60587254720 62676470400 63482969100 63512156672 63776057600 66063577600 67384849152 67715167040 70050172800 70192551200 71279123200 71947364980 72704705664 74428308600 75734068400 76531269120 79390195840 79664902400 81258200448 82127788800 83568627200 84231061440 84643958800 85534947840 86336837976 88664275200 89934206225 90880882080 93400230400 95268235008 95597882880 95664086400 96939607552 99095366400 99237744800 101572750560 105288826800 106918684800 107921047470 108344267264 112308081920 113601102600 115115783968 116180774400 119085293760 119497353600 121174509440 125352940800 126965938200 127552115200 134769698304 135430334080 140100345600 140385102400 142558246400 143894729960 145409411328 148856617200 151468136800 158780391680 159329804800 162516400896 164255577600 168462122880 169287917600 172673675952 177328550400 179868412450 181761764160 190536470016 191328172800 198190732800 198475489600 203145501120 210577653600 213837369600 215842094940 224616163840 227202205200 230231567936 238170587520 238994707200 242349018880 250705881600 253931876400 269802618675 270860668160 280200691200 280770204800 287789459920 290818822656 297713234400 302936273600 317560783360 325032801792 336924245760 338575835200 345347351904 359736824900 363523528320 382656345600 396950979200 406291002240 421155307200 427674739200 431684189880 454404410400 460463135872 476341175040 477989414400 484698037760 507863752800 539605237350 541721336320 561540409600 575578919840 595426468800 605872547200 673848491520 677151670400 690694703808 719473649800 727047056640 793901958400 812582004480 842310614400 863368379760 908808820800 920926271744 952682350080 1015727505600 1079210474700 1123080819200 1151157839680 1190852937600 1211745094400 1354303340800 1381389407616 1438947299600 1454094113280 1587803916800 1625164008960 1684621228800 1726736759520 1817617641600 1841852543488 2031455011200 2158420949400 2302315679360 2381705875200 2423490188800 2708606681600 2762778815232 2877894599200 3369242457600 3453473519040 3635235283200 4062910022400 4316841898800 4604631358720 4763411750400 5525557630464 5755789198400 6906947038080 7270470566400 8125820044800 8633683797600 9209262717440 11511578396800 13813894076160 17267367595200 23023156793600 27627788152320 34534735190400 46046313587200 69069470380800 138138940761600
- Sum of all divisors σ(n): 542785347592488
- Sum of proper divisors (its aliquot sum) s(n): 404646406830888
- 138138940761600 is an abundant number, because the sum of its proper divisors (404646406830888) is greater than itself. Its abundance is 266507466069288
Bases of 138138940761600
- Binary: 111110110100010111110100111111001100110000000002
- Hexadecimal: 0x7DA2FA7E6600
- Base-36: 1CYS5IOR9C
Squares and roots of 138138940761600
- 138138940761600 squared (1381389407616002) is 19082366954736833988034560000
- 138138940761600 cubed (1381389407616003) is 2636017958351504898790639567053520896000000
-
The
square root of 138138940761600 is 11753252.3482481223 -
The
cube root of 138138940761600 is 51693.8296321765
Scales and comparisons
How big is 138138940761600?- 138,138,940,761,600 seconds is equal to 4,392,391 years, 1 week, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 138,138,940,761,600 would take you about ten million, nine hundred eighty thousand, nine hundred seventy-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 138138940761600 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138138940761600
- 138138940761600 backwards is 006167049831831
- 138138940761600 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138138940761600's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 138138940761600 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138138940761600 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138138940761600/
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Numbermatics. 2024. "Number 138138940761600 - Facts about the integer". https://numbermatics.com/n/138138940761600/
The information we have on file for 138138940761600 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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