138346208000
138,346,208,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138346208000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138346208000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138346208000:
28 × 53 × 72 × 11 × 13 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 13 × 617)See below for interesting mathematical facts about the number 138346208000 from the Numbermatics database.
Names of 138346208000
- Cardinal: 138346208000 can be written as One hundred thirty-eight billion, three hundred forty-six million, two hundred eight thousand.
Scientific notation
- Scientific notation: 1.38346208 × 1011
Factors of 138346208000
Divisors of 138346208000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 49 50 52 55 56 64 65 70 77 80 88 91 98 100 104 110 112 125 128 130 140 143 154 160 175 176 182 196 200 208 220 224 245 250 256 260 275 280 286 308 320 325 350 352 364 385 392 400 416 440 448 455 490 500 520 539 550 560 572 616 617 637 640 650 700 704 715 728 770 784 800 832 875 880 896 910 980 1000 1001 1040 1078 1100 1120 1144 1225 1232 1234 1274 1280 1300 1375 1400 1408 1430 1456 1540 1568 1600 1625 1664 1750 1760 1792 1820 1925 1960 2000 2002 2080 2156 2200 2240 2275 2288 2450 2464 2468 2548 2600 2695 2750 2800 2816 2860 2912 3080 3085 3136 3185 3200 3250 3328 3500 3520 3575 3640 3850 3920 4000 4004 4160 4312 4319 4400 4480 4550 4576 4900 4928 4936 5005 5096 5200 5390 5500 5600 5720 5824 6125 6160 6170 6272 6370 6400 6500 6787 7000 7007 7040 7150 7280 7700 7840 8000 8008 8021 8320 8624 8638 8800 8960 9100 9152 9625 9800 9856 9872 10010 10192 10400 10780 11000 11200 11375 11440 11648 12250 12320 12340 12544 12740 13000 13475 13574 14000 14014 14080 14300 14560 15400 15425 15680 15925 16000 16016 16042 16640 17248 17276 17600 17875 18200 18304 19250 19600 19712 19744 20020 20384 20800 21560 21595 22000 22400 22750 22880 23296 24500 24640 24680 25025 25480 26000 26950 27148 28000 28028 28600 29120 30233 30800 30850 31360 31850 32000 32032 32084 33935 34496 34552 35035 35200 35750 36400 36608 38500 39200 39488 40040 40105 40768 41600 43120 43190 44000 44800 45500 45760 47509 49000 49280 49360 50050 50960 52000 53900 54296 56000 56056 56147 57200 58240 60466 61600 61700 62720 63700 64064 64168 67375 67870 68992 69104 70070 70400 71500 72800 77000 77125 78400 78976 79625 80080 80210 81536 83200 86240 86380 88000 88231 91000 91520 95018 98000 98560 98720 100100 101920 104000 107800 107975 108592 112000 112112 112294 114400 116480 120932 123200 123400 125125 127400 128128 128336 134750 135740 137984 138208 140140 143000 145600 151165 154000 154250 156800 157952 159250 160160 160420 163072 169675 172480 172760 175175 176000 176462 182000 183040 190036 196000 197440 200200 200525 203840 208000 215600 215950 217184 224000 224224 224588 228800 237545 241864 246400 246800 250250 254800 256256 256672 269500 271480 276416 280280 280735 286000 291200 302330 308000 308500 313600 318500 320320 320840 332563 339350 344960 345520 350350 352000 352924 364000 380072 392000 393029 394880 400400 401050 407680 416000 431200 431900 434368 441155 448448 449176 457600 475090 483728 492800 493600 500500 509600 513344 539000 539875 542960 552832 560560 561470 572000 582400 604660 616000 617000 617617 637000 640640 641680 665126 678700 689920 691040 700700 705848 728000 755825 760144 784000 786058 789760 800800 802100 815360 848375 862400 863800 868736 875875 882310 896896 898352 915200 950180 967456 987200 1001000 1002625 1019200 1026688 1078000 1079750 1085920 1105664 1121120 1122940 1144000 1187725 1209320 1232000 1234000 1235234 1274000 1281280 1283360 1330252 1357400 1382080 1401400 1403675 1411696 1456000 1511650 1520288 1568000 1572116 1601600 1604200 1662815 1696750 1724800 1727600 1737472 1751750 1764620 1793792 1796704 1900360 1934912 1965145 1974400 2002000 2005250 2038400 2053376 2156000 2159500 2171840 2205775 2242240 2245880 2288000 2375450 2418640 2464000 2468000 2470468 2548000 2566720 2660504 2714800 2764160 2802800 2807350 2823392 2912000 3023300 3040576 3088085 3144232 3203200 3208400 3325630 3393500 3449600 3455200 3503500 3529240 3593408 3779125 3800720 3869824 3930290 3948800 4004000 4010500 4076800 4312000 4319000 4323319 4343680 4411550 4484480 4491760 4576000 4750900 4837280 4936000 4940936 5096000 5133440 5321008 5429600 5528320 5605600 5614700 5646784 5938625 6046600 6081152 6176170 6288464 6406400 6416800 6651260 6787000 6910400 7007000 7018375 7058480 7186816 7558250 7601440 7739648 7860580 8008000 8021000 8314075 8624000 8638000 8646638 8687360 8823100 8968960 8983520 9501800 9674560 9825725 9872000 9881872 10192000 10266880 10642016 10859200 11028875 11211200 11229400 11293568 11877250 12093200 12162304 12352340 12576928 12833600 13302520 13574000 13820800 14014000 14036750 14116960 14373632 15116500 15202880 15440425 15721160 16016000 16042000 16628150 17248000 17276000 17293276 17646200 17967040 19003600 19349120 19651450 19744000 19763744 20384000 21284032 21616595 21718400 22057750 22422400 22458800 22587136 23754500 24186400 24704680 25153856 25667200 26605040 27148000 27641600 28028000 28073500 28233920 30233000 30405760 30880850 31442320 32032000 32084000 33256300 34552000 34586552 35292400 35934080 38007200 38698240 39302900 39527488 41570375 42568064 43233190 43436800 44115500 44844800 44917600 47509000 48372800 49128625 49409360 50307712 51334400 53210080 54296000 56056000 56147000 56467840 60466000 60811520 61761700 62884640 64168000 66512600 69104000 69173104 70584800 71868160 76014400 77202125 78605800 79054976 83140750 85136128 86466380 88231000 89835200 95018000 96745600 98257250 98818720 100615424 106420160 108082975 108592000 112112000 112294000 112935680 120932000 123523400 125769280 128336000 133025200 138208000 138346208 141169600 152028800 154404250 157211600 158109952 166281500 172932760 176462000 179670400 190036000 193491200 196514500 197637440 212840320 216165950 217184000 224224000 224588000 241864000 247046800 251538560 256672000 266050400 276692416 282339200 304057600 308808500 314423200 332563000 345865520 352924000 359340800 380072000 393029000 395274880 425680640 432331900 449176000 483728000 494093600 503077120 532100800 540414875 553384832 564678400 617617000 628846400 665126000 691731040 705848000 760144000 786058000 790549760 864663800 898352000 967456000 988187200 1064201600 1080829750 1106769664 1235234000 1257692800 1330252000 1383462080 1411696000 1520288000 1572116000 1729327600 1796704000 1976374400 2128403200 2161659500 2470468000 2515385600 2660504000 2766924160 2823392000 3144232000 3458655200 3952748800 4323319000 4940936000 5321008000 5533848320 6288464000 6917310400 8646638000 9881872000 10642016000 12576928000 13834620800 17293276000 19763744000 27669241600 34586552000 69173104000 138346208000
- Sum of all divisors σ(n): 471756737088
- Sum of proper divisors (its aliquot sum) s(n): 333410529088
- 138346208000 is an abundant number, because the sum of its proper divisors (333410529088) is greater than itself. Its abundance is 195064321088
Bases of 138346208000
- Binary: 100000001101100001001110011011000000002
- Hexadecimal: 0x2036139B00
- Base-36: 1RJZRDA8
Squares and roots of 138346208000
- 138346208000 squared (1383462080002) is 19139673267979264000000
- 138346208000 cubed (1383462080003) is 2647901218983898997030912000000000
-
The
square root of 138346208000 is 371949.2008325869 -
The
cube root of 138346208000 is 5171.9670965003
Scales and comparisons
How big is 138346208000?- 138,346,208,000 seconds is equal to 4,398 years, 51 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,346,208,000 would take you about eight thousand, seven hundred ninety-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 138346208000 cubic inches would be around 431 feet tall.
Recreational maths with 138346208000
- 138346208000 backwards is 000802643831
- 138346208000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138346208000's digits is 35
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138346208000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138346208000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138346208000/
Chicago style:
Numbermatics. 2024. "Number 138346208000 - Facts about the integer". https://numbermatics.com/n/138346208000/
The information we have on file for 138346208000 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!
Keywords: Divisors of 138346208000, math, Factors of 138346208000, curriculum, school, college, exams, university, Prime factorization of 138346208000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, three hundred forty-six million, two hundred eight thousand.