72142509973380000
72,142,509,973,380,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 72142509973380000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
72142509973380000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 72142509973380000:
25 × 3 × 54 × 7 × 11 × 534 × 1979
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 53 × 53 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 72142509973380000 from the Numbermatics database.
Names of 72142509973380000
- Cardinal: 72142509973380000 can be written as Seventy-two quadrillion, one hundred forty-two trillion, five hundred nine billion, nine hundred seventy-three million, three hundred eighty thousand.
Scientific notation
- Scientific notation: 7.214250997338 × 1016
Factors of 72142509973380000
Divisors of 72142509973380000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 53 55 56 60 66 70 75 77 80 84 88 96 100 105 106 110 112 120 125 132 140 150 154 159 160 165 168 175 176 200 210 212 220 224 231 240 250 264 265 275 280 300 308 318 330 336 350 352 371 375 385 400 420 424 440 462 480 500 525 528 530 550 560 583 600 616 625 636 660 672 700 742 750 770 795 800 825 840 848 875 880 924 1000 1050 1056 1060 1100 1113 1120 1155 1166 1200 1232 1250 1272 1320 1325 1375 1400 1484 1500 1540 1590 1650 1680 1696 1749 1750 1760 1848 1855 1875 1925 1979 2000 2100 2120 2200 2226 2310 2332 2400 2464 2500 2544 2625 2640 2650 2750 2800 2809 2915 2968 3000 3080 3180 3300 3360 3498 3500 3696 3710 3750 3850 3958 3975 4000 4081 4125 4200 4240 4375 4400 4452 4620 4664 5000 5088 5250 5280 5300 5500 5565 5600 5618 5775 5830 5936 5937 6000 6160 6360 6600 6625 6875 6996 7000 7392 7420 7500 7700 7916 7950 8162 8250 8400 8427 8480 8745 8750 8800 8904 9240 9275 9328 9625 9895 10000 10500 10600 11000 11130 11236 11550 11660 11872 11874 12000 12243 12320 12720 13125 13200 13250 13750 13853 13992 14000 14045 14575 14840 15000 15400 15832 15900 16324 16500 16800 16854 17490 17500 17808 18480 18550 18656 19250 19663 19790 19875 20000 20405 20625 21000 21200 21769 22000 22260 22472 23100 23320 23748 24486 25440 26250 26400 26500 27500 27706 27825 27984 28000 28090 28875 29150 29680 29685 30000 30800 30899 31664 31800 32648 33000 33125 33708 34980 35000 35616 36960 37100 38500 39326 39580 39750 40810 41250 41559 42000 42135 42400 43538 43725 44000 44520 44944 46200 46375 46640 47496 48125 48972 49475 52500 53000 55000 55412 55650 55968 56180 57750 58300 58989 59360 59370 60000 61215 61600 61798 63328 63600 65296 65307 66000 66250 67416 69265 69960 70000 70225 72875 74200 77000 78652 79160 79500 81620 82500 83118 84000 84270 87076 87450 89040 89888 92400 92697 92750 93280 94992 96250 97944 98315 98950 99375 102025 104887 105000 106000 108845 110000 110824 111300 112360 115500 116600 117978 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4809500664892 4861355119500 4949743394400 5136526164000 5153036426670 5155982702500 5207717460000 5246727998064 5444717733840 5465341664650 5496572188448 5671580972750 5855723212125 5892551660000 6011875831115 6075670370000 6076693899375 6187179243000 6246104759600 6420657705000 6481806826000 6558409997580 6805897167300 6870715235560 7214250997338 7290804444000 7495325711520 7733974053750 7778168191200 7807630949500 8102258532500 8198012496975 8244858282672 8249572324000 8507371459125 8560876940000 8588394044450 8744546663440 8838827490000 9074529556400 9113505555000 9369157139400 9619001329784 9722710239000 9759538686875 10306072853340 10311965405000 10493455996128 10889435467680 10930683329300 11343161945500 11711446424250 12023751662230 12151340740000 12153387798750 12374358486000 12492209519200 12841315410000 12882591066675 12963613652000 13116819995160 13611794334600 13663354161625 13741430471120 14178952431875 14428501994676 15467948107500 15615261899000 16204517065000 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65584099975800 68058971673000 68316770808125 68707152355600 72142509973380 78076309495000 81980124969750 82448582826720 85073714591250 85883940444500 87445466634400 90178137466725 90745295564000 93691571394000 96190013297840 97227102390000 103060728533400 107354925555625 109306833293000 113431619455000 115428015957408 117114464242500 120237516622300 123743584860000 128825910666750 131168199951600 136117943346000 136633541616250 137414304711200 144285019946760 150296895777875 156152618990000 163960249939500 170147429182500 171767880889000 180356274933450 187383142788000 192380026595680 194454204780000 204950312424375 206121457066800 214709851111250 218613666586000 226863238910000 234228928485000 240475033244600 257651821333500 262336399903200 272235886692000 273267083232500 288570039893520 300593791555750 312305237980000 322064776666875 327920499879000 340294858365000 343535761778000 360712549866900 409900624848750 412242914133600 429419702222500 437227333172000 450890687333625 453726477820000 468457856970000 480950066489200 515303642667000 546534166465000 577140079787040 601187583111500 644129553333750 655840999758000 680589716730000 687071523556000 721425099733800 751484478889375 819801249697500 858839404445000 901781374667250 936915713940000 961900132978400 1030607285334000 1093068332930000 1202375166223000 1288259106667500 1311681999516000 1361179433460000 1442850199467600 1502968957778750 1639602499395000 1717678808890000 1803562749334500 2061214570668000 2186136665860000 2254453436668125 2404750332446000 2576518213335000 2885700398935200 3005937915557500 3279204998790000 3435357617780000 3607125498669000 4508906873336250 4809500664892000 5153036426670000 6011875831115000 6558409997580000 7214250997338000 9017813746672500 10306072853340000 12023751662230000 14428501994676000 18035627493345000 24047503324460000 36071254986690000 72142509973380000
- Sum of all divisors σ(n): 300859688343836160
- Sum of proper divisors (its aliquot sum) s(n): 228717178370456160
- 72142509973380000 is an abundant number, because the sum of its proper divisors (228717178370456160) is greater than itself. Its abundance is 156574668397076160
Bases of 72142509973380000
- Binary: 1000000000100110100111011000010000010101100011011101000002
- Hexadecimal: 0x1004D3B082B1BA0
- Base-36: JQCDVJXQOIO
Squares and roots of 72142509973380000
- 72142509973380000 squared (721425099733800002) is 5204541745259232768308624400000000
- 72142509973380000 cubed (721425099733800003) is 375468704764236751321231842570868418472000000000000
-
The
square root of 72142509973380000 is 268593577.6845380941 -
The
cube root of 72142509973380000 is 416291.0584327017
Scales and comparisons
How big is 72142509973380000?- 72,142,509,973,380,000 seconds is equal to 2,293,908,665 years, 37 weeks, 2 days, 12 hours, 40 minutes.
-
To count from 1 to 72,142,509,973,380,000 would take you about six billion, eight hundred eighty-one million, seven hundred twenty-five thousand, nine 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 72142509973380000 cubic inches would be around 34690.9 feet tall.
Recreational maths with 72142509973380000
- 72142509973380000 backwards is 00008337990524127
- 72142509973380000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 72142509973380000's digits is 60
- More coming soon!
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Cite this page
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"Number 72142509973380000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 72142509973380000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/72142509973380000/
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The information we have on file for 72142509973380000 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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