138112166400
138,112,166,400 is an even composite number composed of six prime numbers multiplied together.
138112166400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138112166400:
29 × 3 × 52 × 13 × 232 × 523
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 23 × 23 × 523)See below for interesting mathematical facts about the number 138112166400 from the Numbermatics database.
Names of 138112166400
- Cardinal: 138112166400 can be written as One hundred thirty-eight billion, one hundred twelve million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.381121664 × 1011
Factors of 138112166400
Divisors of 138112166400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 25 26 30 32 39 40 46 48 50 52 60 64 65 69 75 78 80 92 96 100 104 115 120 128 130 138 150 156 160 184 192 195 200 208 230 240 256 260 276 299 300 312 320 325 345 368 384 390 400 416 460 480 512 520 523 529 552 575 598 600 624 640 650 690 736 768 780 800 832 897 920 960 975 1040 1046 1058 1104 1150 1196 1200 1248 1280 1300 1380 1472 1495 1536 1560 1569 1587 1600 1664 1725 1794 1840 1920 1950 2080 2092 2116 2208 2300 2392 2400 2496 2560 2600 2615 2645 2760 2944 2990 3120 3138 3174 3200 3328 3450 3588 3680 3840 3900 4160 4184 4232 4416 4485 4600 4784 4800 4992 5200 5230 5290 5520 5888 5980 6240 6276 6348 6400 6656 6799 6877 6900 7176 7360 7475 7680 7800 7845 7935 8320 8368 8464 8832 8970 9200 9568 9600 9984 10400 10460 10580 11040 11776 11960 12029 12480 12552 12696 12800 13075 13225 13598 13754 13800 14352 14720 14950 15600 15690 15870 16640 16736 16928 17664 17940 18400 19136 19200 19968 20397 20631 20800 20920 21160 22080 22425 23920 24058 24960 25104 25392 26150 26450 27196 27508 27600 28704 29440 29900 31200 31380 31740 33280 33472 33856 33995 34385 35328 35880 36087 36800 38272 38400 39225 39675 40794 41262 41600 41840 42320 44160 44850 47840 48116 49920 50208 50784 52300 52900 54392 55016 55200 57408 58880 59800 60145 62400 62760 63480 66944 67712 67990 68770 71760 72174 73600 76544 78450 79350 81588 82524 83200 83680 84640 88320 89700 95680 96232 99840 100416 101568 101985 103155 104600 105800 108784 110032 110400 114816 119600 120290 124800 125520 126960 133888 135424 135980 137540 143520 144348 147200 153088 156377 156900 158700 163176 165048 166400 167360 169280 169975 171925 176640 179400 180435 191360 192464 200832 203136 203970 206310 209200 211600 217568 220064 220800 229632 239200 240580 249600 251040 253920 267776 270848 271960 275080 276667 287040 288696 294400 300725 312754 313800 317400 326352 330096 334720 338560 339950 343850 358800 360870 382720 384928 401664 406272 407940 412620 418400 423200 435136 440128 441600 459264 469131 478400 481160 499200 502080 507840 509925 515775 543920 550160 553334 574080 577392 601450 625508 627600 634800 652704 660192 669440 677120 679900 687700 717600 721740 765440 769856 781885 803328 812544 815880 825240 830001 836800 846400 870272 880256 883200 902175 938262 956800 962320 1004160 1015680 1019850 1031550 1087840 1100320 1106668 1148160 1154784 1202900 1251016 1255200 1269600 1305408 1320384 1338880 1354240 1359800 1375400 1383335 1435200 1443480 1539712 1563770 1631760 1650480 1660002 1673600 1692800 1740544 1760512 1804350 1876524 1913600 1924640 2008320 2031360 2039700 2063100 2175680 2200640 2213336 2296320 2309568 2345655 2405800 2502032 2510400 2539200 2610816 2640768 2719600 2750800 2766670 2870400 2886960 3079424 3127540 3263520 3300960 3320004 3347200 3385600 3481088 3521024 3596671 3608700 3753048 3827200 3849280 3909425 4016640 4062720 4079400 4126200 4150005 4351360 4401280 4426672 4619136 4691310 4811600 5004064 5020800 5078400 5221632 5281536 5439200 5501600 5533340 5740800 5773920 6158848 6255080 6527040 6601920 6640008 6694400 6771200 6916675 7193342 7217400 7506096 7698560 7818850 8158800 8252400 8300010 8702720 8802560 8853344 9238272 9382620 9623200 10008128 10041600 10156800 10443264 10563072 10790013 10878400 11003200 11066680 11481600 11547840 11728275 12510160 13054080 13203840 13280016 13833350 14386684 14434800 15012192 15397120 15637700 16317600 16504800 16600020 17405440 17605120 17706688 17983355 18476544 18765240 19246400 20016256 20083200 20313600 20750025 21580026 21756800 22006400 22133360 23095680 23456550 25020320 26108160 26407680 26560032 27666700 28773368 28869600 30024384 30794240 31275400 32635200 33009600 33200040 35413376 35966710 37530480 38492800 40032512 41500050 43160052 43513600 44012800 44266720 46191360 46913100 50040640 52216320 52815360 53120064 53950065 55333400 57546736 57739200 60048768 62550800 65270400 66019200 66400080 70826752 71933420 75060960 76985600 80065024 83000100 86320104 87027200 88025600 88533440 89916775 92382720 93826200 100081280 106240128 107900130 110666800 115093472 115478400 120097536 125101600 130540800 132038400 132800160 141653504 143866840 150121920 153971200 166000200 172640208 177066880 179833550 187652400 200162560 212480256 215800260 221333600 230186944 230956800 240195072 250203200 261081600 264076800 265600320 269750325 287733680 300243840 332000400 345280416 354133760 359667100 375304800 400325120 424960512 431600520 442667200 460373888 461913600 500406400 531200640 539500650 575467360 600487680 664000800 690560832 708267520 719334200 750609600 863201040 885334400 920747776 1000812800 1062401280 1079001300 1150934720 1200975360 1328001600 1381121664 1438668400 1501219200 1726402080 1770668800 1841495552 2001625600 2124802560 2158002600 2301869440 2656003200 2762243328 2877336800 3002438400 3452804160 3541337600 4316005200 4603738880 5312006400 5524486656 5754673600 6004876800 6905608320 8632010400 9207477760 10624012800 11509347200 13811216640 17264020800 23018694400 27622433280 34528041600 46037388800 69056083200 138112166400
- Sum of all divisors σ(n): 514614208416
- Sum of proper divisors (its aliquot sum) s(n): 376502042016
- 138112166400 is an abundant number, because the sum of its proper divisors (376502042016) is greater than itself. Its abundance is 238389875616
Bases of 138112166400
- Binary: 100000001010000010000001101010000000002
- Hexadecimal: 0x2028206A00
- Base-36: 1RG4F1MO
Squares and roots of 138112166400
- 138112166400 squared (1381121664002) is 19074970507701288960000
- 138112166400 cubed (1381121664003) is 2634485500834732902338002944000000
-
The
square root of 138112166400 is 371634.4526547559 -
The
cube root of 138112166400 is 5169.0489616415
Scales and comparisons
How big is 138112166400?- 138,112,166,400 seconds is equal to 4,391 years, 28 weeks, 10 hours, 40 minutes.
-
To count from 1 to 138,112,166,400 would take you about eight thousand, seven hundred eighty-three 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 138112166400 cubic inches would be around 430.8 feet tall.
Recreational maths with 138112166400
- 138112166400 backwards is 004661211831
- The number of decimal digits it has is: 12
- The sum of 138112166400's digits is 33
- 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 138112166400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 138112166400 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/138112166400/
Chicago style:
Numbermatics. 2024. "Number 138112166400 - Facts about the integer". https://numbermatics.com/n/138112166400/
The information we have on file for 138112166400 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 138112166400, math, Factors of 138112166400, curriculum, school, college, exams, university, Prime factorization of 138112166400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred twelve million, one hundred sixty-six thousand, four hundred.