106337142000
106,337,142,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106337142000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
106337142000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 106337142000:
24 × 32 × 53 × 17 × 23 × 29 × 521
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 23 × 29 × 521)See below for interesting mathematical facts about the number 106337142000 from the Numbermatics database.
Names of 106337142000
- Cardinal: 106337142000 can be written as One hundred six billion, three hundred thirty-seven million, one hundred forty-two thousand.
Scientific notation
- Scientific notation: 1.06337142 × 1011
Factors of 106337142000
Divisors of 106337142000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 25 29 30 34 36 40 45 46 48 50 51 58 60 68 69 72 75 80 85 87 90 92 100 102 115 116 120 125 136 138 144 145 150 153 170 174 180 184 200 204 207 225 230 232 240 250 255 261 272 276 290 300 306 340 345 348 360 368 375 391 400 408 414 425 435 450 460 464 493 500 510 521 522 552 575 580 600 612 667 680 690 696 720 725 750 765 782 816 828 850 870 900 920 986 1000 1020 1035 1042 1044 1104 1125 1150 1160 1173 1200 1224 1275 1305 1334 1360 1380 1392 1450 1479 1500 1530 1563 1564 1656 1700 1725 1740 1800 1840 1955 1972 2000 2001 2040 2070 2084 2088 2125 2175 2250 2300 2320 2346 2448 2465 2550 2605 2610 2668 2760 2875 2900 2958 3000 3060 3126 3128 3312 3335 3400 3450 3480 3519 3600 3625 3825 3910 3944 4002 4080 4140 4168 4176 4250 4350 4437 4500 4600 4689 4692 4930 5100 5175 5210 5220 5336 5520 5750 5800 5865 5916 6000 6003 6120 6252 6256 6375 6525 6670 6800 6900 6960 7038 7250 7395 7650 7815 7820 7888 8004 8280 8336 8500 8625 8700 8857 8874 9000 9200 9378 9384 9775 9860 10005 10200 10350 10420 10440 10672 10875 11339 11500 11600 11730 11832 11983 12006 12240 12325 12504 12750 13025 13050 13340 13800 14076 14500 14790 15109 15300 15630 15640 16008 16560 16675 17000 17250 17400 17595 17714 17748 18000 18756 18768 19125 19550 19720 20010 20400 20700 20840 20880 21750 22185 22678 23000 23445 23460 23664 23966 24012 24650 25008 25500 25875 26050 26100 26571 26680 27600 28152 29000 29325 29580 30015 30218 30600 31260 31280 32016 32625 33350 34000 34017 34500 34800 35190 35428 35496 35949 36975 37512 38250 39075 39100 39440 40020 41400 41680 43500 44285 44370 45327 45356 46000 46890 46920 47932 48024 48875 49300 50025 51000 51750 52100 52200 53142 53360 56304 56695 58000 58650 59160 59915 60030 60436 61200 61625 62520 65125 65250 66700 68034 69000 70380 70856 70992 71898 73950 75024 75545 76500 78150 78200 79713 80040 82800 83375 87000 87975 88570 88740 90654 90712 93780 93840 95864 96048 97750 98600 100050 102000 102051 103500 104200 104400 106284 107847 110925 113390 117225 117300 118320 119830 120060 120872 123250 125040 130250 130500 132855 133400 135981 136068 138000 140760 141712 143796 146625 147900 150075 151090 153000 156300 156400 159426 160080 166750 170085 174000 175950 177140 177480 179745 181308 181424 184875 187560 191728 195375 195500 197200 200100 203711 204102 207000 208400 212568 215694 221425 221850 226635 226780 234450 234600 239660 240120 241744 246500 250125 256853 260500 261000 265710 266800 271962 272136 281520 283475 287592 293250 295800 299575 300150 302180 306000 312600 318852 333500 340170 347507 351900 354280 354960 359490 362616 369750 375120 377725 390750 391000 398565 400200 407422 408204 414000 425136 431388 439875 442850 443700 453270 453560 468900 469200 479320 480240 493000 500250 510255 513706 521000 522000 531420 539235 543924 544272 554625 566950 575184 586125 586500 591600 599150 600300 604360 611133 625200 637704 664275 667000 679905 680340 695014 703800 708560 718980 725232 739500 750375 755450 770559 781500 782000 797130 800400 814844 816408 850425 862776 879750 885700 887400 898725 906540 907120 937800 958640 986000 1000500 1018555 1020510 1027412 1042000 1042521 1062840 1078470 1087848 1107125 1109250 1133175 1133900 1172250 1173000 1198300 1200600 1208720 1222266 1275408 1284265 1328550 1334000 1359810 1360680 1390028 1407600 1417375 1437960 1479000 1497875 1500750 1510900 1541118 1563000 1594260 1629688 1632816 1700850 1725552 1737535 1759500 1771400 1774800 1797450 1813080 1833399 1875600 1888625 1992825 2001000 2037110 2041020 2054824 2085042 2125680 2156940 2175696 2214250 2218500 2266350 2267800 2311677 2344500 2346000 2396600 2401200 2444532 2551275 2568530 2657100 2696175 2719620 2721360 2780056 2834750 2875920 2958000 2995750 3001500 3021800 3055665 3082236 3126000 3127563 3188520 3259376 3321375 3399525 3401700 3475070 3519000 3542800 3594900 3626160 3666798 3777250 3852795 3985650 4002000 4074220 4082040 4109648 4170084 4252125 4313880 4428500 4437000 4493625 4532700 4535600 4623354 4689000 4793200 4889064 5092775 5102550 5137060 5212605 5314200 5392350 5439240 5560112 5665875 5669500 5907619 5991500 6003000 6043600 6111330 6164472 6255126 6377040 6421325 6642750 6799050 6803400 6950140 7038000 7189800 7333596 7554500 7705590 7971300 8148440 8164080 8340168 8504250 8627760 8687675 8857000 8874000 8987250 9065400 9166995 9246708 9378000 9778128 9964125 10185550 10205100 10274120 10425210 10628400 10784700 10878480 11331750 11339000 11558385 11815238 11983000 12006000 12222660 12328944 12510252 12756375 12842650 13285500 13480875 13598100 13606800 13900280 14379600 14667192 15109000 15278325 15411180 15637815 15942600 16296880 16680336 16997625 17008500 17375350 17714000 17722857 17974500 18130800 18333990 18493416 19263975 19928250 20371100 20410200 20548240 20850420 21569400 22663500 22678000 23116770 23630476 23966000 24445320 25020504 25463875 25512750 25685300 26063025 26571000 26961750 27196200 27800560 29334384 29538095 30218000 30556650 30822360 31275630 31885200 32106625 33995250 34017000 34750700 35445714 35949000 36667980 36986832 38527950 39856500 40742200 40820400 41700840 43138800 43438375 45327000 45834975 46233540 47260952 48890640 50041008 50927750 51025500 51370600 52126050 53142000 53168571 53923500 54392400 57791925 59076190 61113300 61644720 62551260 64213250 67990500 68034000 69501400 70891428 71898000 73335960 76391625 77055900 78189075 79713000 81484400 83401680 86876750 88614285 90654000 91669950 92467080 94521904 96319875 101855500 102051000 102741200 104252100 106337142 107847000 115583850 118152380 122226600 125102520 128426500 130315125 135981000 139002800 141782856 146671920 147690475 152783250 154111800 156378150 159426000 173753500 177228570 183339900 184934160 192639750 203711000 204102000 208504200 212674284 215694000 229174875 231167700 236304760 244453200 250205040 256853000 260630250 265842855 271962000 283565712 288959625 295380950 305566500 308223600 312756300 347507000 354457140 366679800 385279500 390945375 407422000 417008400 425348568 443071425 458349750 462335400 472609520 513706000 521260500 531685710 577919250 590761900 611133000 625512600 695014000 708914280 733359600 738452375 770559000 781890750 850697136 886142850 916699500 924670800 1042521000 1063371420 1155838500 1181523800 1222266000 1251025200 1329214275 1417828560 1476904750 1541118000 1563781500 1772285700 1833399000 2085042000 2126742840 2215357125 2311677000 2363047600 2658428550 2953809500 3127563000 3544571400 3666798000 4253485680 4430714250 4623354000 5316857100 5907619000 6255126000 6646071375 7089142800 8861428500 10633714200 11815238000 13292142750 17722857000 21267428400 26584285500 35445714000 53168571000 106337142000
- Sum of all divisors σ(n): 425309564160
- Sum of proper divisors (its aliquot sum) s(n): 318972422160
- 106337142000 is an abundant number, because the sum of its proper divisors (318972422160) is greater than itself. Its abundance is 212635280160
Bases of 106337142000
- Binary: 11000110000100011000000000100111100002
- Hexadecimal: 0x18C23004F0
- Base-36: 1CUMDZW0
Squares and roots of 106337142000
- 106337142000 squared (1063371420002) is 11307587768728164000000
- 106337142000 cubed (1063371420003) is 1202416566240709934667288000000000
-
The
square root of 106337142000 is 326093.7625898417 -
The
cube root of 106337142000 is 4737.6356846241
Scales and comparisons
How big is 106337142000?- 106,337,142,000 seconds is equal to 3,381 years, 9 weeks, 6 days, 23 hours.
-
To count from 1 to 106,337,142,000 would take you about six thousand, seven hundred sixty-two 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 106337142000 cubic inches would be around 394.8 feet tall.
Recreational maths with 106337142000
- 106337142000 backwards is 000241733601
- The number of decimal digits it has is: 12
- The sum of 106337142000's digits is 27
- 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 106337142000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 106337142000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/106337142000/
Chicago style:
Numbermatics. 2024. "Number 106337142000 - Facts about the integer". https://numbermatics.com/n/106337142000/
The information we have on file for 106337142000 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 106337142000, math, Factors of 106337142000, curriculum, school, college, exams, university, Prime factorization of 106337142000, STEM, science, technology, engineering, physics, economics, calculator, one hundred six billion, three hundred thirty-seven million, one hundred forty-two thousand.