189329749335807248000
189,329,749,335,807,248,000 is an even composite number composed of six prime numbers multiplied together.
189329749335807248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 189329749335807248000:
27 × 53 × 7 × 31 × 4987 × 10934521307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 31 × 4987 × 10934521307)See below for interesting mathematical facts about the number 189329749335807248000 from the Numbermatics database.
Names of 189329749335807248000
- Cardinal: 189329749335807248000 can be written as One hundred eighty-nine quintillion, three hundred twenty-nine quadrillion, seven hundred forty-nine trillion, three hundred thirty-five billion, eight hundred seven million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.89329749335807248 × 1020
Factors of 189329749335807248000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 10934526339
Divisors of 189329749335807248000
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 125 128 140 155 160 175 200 217 224 248 250 280 310 320 350 400 434 448 496 500 560 620 640 700 775 800 868 875 896 992 1000 1085 1120 1240 1400 1550 1600 1736 1750 1984 2000 2170 2240 2480 2800 3100 3200 3472 3500 3875 3968 4000 4340 4480 4960 4987 5425 5600 6200 6944 7000 7750 8000 8680 9920 9974 10850 11200 12400 13888 14000 15500 16000 17360 19840 19948 21700 22400 24800 24935 27125 27776 28000 31000 34720 34909 39896 43400 49600 49870 54250 56000 62000 69440 69818 79792 86800 99200 99740 108500 112000 124000 124675 138880 139636 154597 159584 173600 174545 199480 217000 248000 249350 279272 309194 319168 347200 349090 398960 434000 496000 498700 558544 618388 623375 638336 694400 698180 772985 797920 868000 872725 997400 1082179 1117088 1236776 1246750 1396360 1545970 1595840 1736000 1745450 1994800 2164358 2234176 2473552 2493500 2792720 3091940 3191680 3472000 3490900 3864925 3989600 4328716 4363625 4468352 4947104 4987000 5410895 5585440 6183880 6981800 7729850 7979200 8657432 8727250 9894208 9974000 10821790 11170880 12367760 13963600 15459700 15958400 17314864 17454500 19324625 19788416 19948000 21643580 22341760 24735520 27054475 27927200 30919400 34629728 34909000 38649250 39896000 43287160 49471040 54108950 55854400 61838800 69259456 69818000 77298500 79792000 86574320 98942080 108217900 111708800 123677600 135272375 138518912 139636000 154597000 173148640 216435800 247355200 270544750 279272000 309194000 346297280 432871600 494710400 541089500 558544000 618388000 692594560 865743200 1082179000 1236776000 1731486400 2164358000 2473552000 3462972800 4328716000 8657432000 10934521307 17314864000 21869042614 43738085228 54672606535 76541649149 87476170456 109345213070 153083298298 174952340912 218690426140 273363032675 306166596596 338970160517 349904681824 382708245745 437380852280 546726065350 612333193192 677940321034 699809363648 765416491490 874761704560 1093452130700 1224666386384 1355880642068 1366815163375 1399618727296 1530832982980 1694850802585 1749523409120 1913541228725 2186904261400 2372791123619 2449332772768 2711761284136 2733630326750 3061665965960 3389701605170 3499046818240 3827082457450 4373808522800 4745582247238 4898665545536 5423522568272 5467260653500 6123331931920 6779403210340 6998093636480 7654164914900 8474254012925 8747617045600 9491164494476 9567706143625 9797331091072 10847045136544 10934521307000 11863955618095 12246663863840 13558806420680 15308329829800 16948508025850 17495234091200 18982328988952 19135412287250 21694090273088 21869042614000 23727911236190 24493327727680 27117612841360 30616659659600 33897016051700 34990468182400 37964657977904 38270824574500 42371270064625 43388180546176 43738085228000 47455822472380 48986655455360 54235225682720 54530457758009 59319778090475 61233319319200 67794032103400 75929315955808 76541649149000 84742540129250 87476170456000 94911644944760 108470451365440 109060915516018 118639556180950 122466638638400 135588064206800 151858631911616 153083298298000 169485080258500 174952340912000 189823289889520 216940902730880 218121831032036 237279112361900 244933277276800 271176128413600 272652288790045 296598890452375 303717263823232 306166596596000 338970160517000 379646579779040 381713204306063 436243662064072 474558224723800 542352256827200 545304577580090 593197780904750 612333193192000 677940321034000 759293159558080 763426408612126 872487324128144 949116449447600 1084704513654400 1090609155160180 1186395561809500 1224666386384000 1355880642068000 1363261443950225 1518586319116160 1526852817224252 1690444190498279 1744974648256288 1898232898895200 1908566021530315 2181218310320360 2372791123619000 2711761284136000 2726522887900450 3053705634448504 3380888380996558 3489949296512576 3796465797790400 3817132043060630 4362436620640720 4745582247238000 5423522568272000 5453045775800900 6107411268897008 6761776761993116 6816307219751125 6979898593025152 7592931595580800 7634264086121260 8452220952491395 8724873241281440 9491164494476000 9542830107651575 10906091551601800 11833109333487953 12214822537794016 13523553523986232 13632614439502250 15268528172242520 16904441904982790 17449746482562880 18982328988952000 19085660215303150 21812183103203600 23666218666975906 24429645075588032 27047107047972464 27265228879004500 30537056344485040 33808883809965580 34899492965125760 37964657977904000 38171320430606300 42261104762456975 43624366206407200 47332437333951812 47714150538257875 48859290151176064 54094214095944928 54530457758009000 59165546667439765 61074112688970080 67617767619931160 76342640861212600 84522209524913950 87248732412814400 94664874667903624 95428301076515750 108188428191889856 109060915516018000 118331093334879530 122148225377940160 135235535239862320 152685281722425200 169044419049827900 174497464825628800 189329749335807248 190856602153031500 211305523812284875 216376856383779712 218121831032036000 236662186669759060 244296450755880320 270471070479724640 295827733337198825 305370563444850400 338088838099655800 378659498671614496 381713204306063000 422611047624569750 436243662064072000 473324373339518120 540942140959449280 591655466674397650 610741126889700800 676177676199311600 757318997343228992 763426408612126000 845222095249139500 872487324128144000 946648746679036240 1081884281918898560 1183310933348795300 1221482253779401600 1352355352398623200 1479138666685994125 1514637994686457984 1526852817224252000 1690444190498279000 1893297493358072480 2366621866697590600 2704710704797246400 2958277333371988250 3053705634448504000 3380888380996558000 3786594986716144960 4733243733395181200 5409421409594492800 5916554666743976500 6107411268897008000 6761776761993116000 7573189973432289920 9466487466790362400 11833109333487953000 13523553523986232000 18932974933580724800 23666218666975906000 27047107047972464000 37865949867161449600 47332437333951812000 94664874667903624000 189329749335807248000
- Sum of all divisors σ(n): 555432085777820958720
- Sum of proper divisors (its aliquot sum) s(n): 366102336442013710720
- 189329749335807248000 is an abundant number, because the sum of its proper divisors (366102336442013710720) is greater than itself. Its abundance is 176772587106206462720
Bases of 189329749335807248000
- Binary: 101001000011011110100110001111101000101011101000101001000110100000002
- Hexadecimal: 0xA437A63E8AE8A4680
- Base-36: 13YFSIUB6H4ZNK
Squares and roots of 189329749335807248000
- 189329749335807248000 squared (1893297493358072480002) is 35845753983559605065208011809333504000000
- 189329749335807248000 cubed (1893297493358072480003) is 6786667616460354151239149729564511162854280692436992000000000
-
The
square root of 189329749335807248000 is 13759714725.8148941611 -
The
cube root of 189329749335807248000 is 5742129.1107289409
Scales and comparisons
How big is 189329749335807248000?- 189,329,749,335,807,248,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 189,329,749,335,807,248,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 189329749335807248000 cubic inches would be around 478510.8 feet tall.
Recreational maths with 189329749335807248000
- 189329749335807248000 backwards is 000842708533947923981
- The number of decimal digits it has is: 21
- The sum of 189329749335807248000's digits is 92
- 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 189329749335807248000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 189329749335807248000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/189329749335807248000/
Chicago style:
Numbermatics. 2024. "Number 189329749335807248000 - Facts about the integer". https://numbermatics.com/n/189329749335807248000/
The information we have on file for 189329749335807248000 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 189329749335807248000, math, Factors of 189329749335807248000, curriculum, school, college, exams, university, Prime factorization of 189329749335807248000, STEM, science, technology, engineering, physics, economics, calculator, one hundred eighty-nine quintillion, three hundred twenty-nine quadrillion, seven hundred forty-nine trillion, three hundred thirty-five billion, eight hundred seven million, two hundred forty-eight thousand.