72159132144000
72,159,132,144,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 72159132144000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
72159132144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 72159132144000:
27 × 3 × 53 × 113 × 17 × 292 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 17 × 29 × 29 × 79)See below for interesting mathematical facts about the number 72159132144000 from the Numbermatics database.
Names of 72159132144000
- Cardinal: 72159132144000 can be written as Seventy-two trillion, one hundred fifty-nine billion, one hundred thirty-two million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 7.2159132144 × 1013
Factors of 72159132144000
Divisors of 72159132144000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 29 30 32 33 34 40 44 48 50 51 55 58 60 64 66 68 75 79 80 85 87 88 96 100 102 110 116 120 121 125 128 132 136 145 150 158 160 165 170 174 176 187 192 200 204 220 232 237 240 242 250 255 264 272 275 290 300 316 319 320 330 340 348 352 363 374 375 384 395 400 408 425 435 440 464 474 480 484 493 500 510 528 544 550 561 580 600 605 632 638 640 660 680 696 704 725 726 748 750 790 800 816 825 841 850 869 870 880 928 935 948 957 960 968 986 1000 1020 1056 1088 1100 1122 1160 1185 1200 1210 1264 1275 1276 1320 1331 1343 1360 1375 1392 1408 1450 1452 1479 1496 1500 1580 1595 1600 1632 1650 1682 1700 1738 1740 1760 1815 1856 1870 1896 1914 1920 1936 1972 1975 2000 2040 2057 2112 2125 2175 2176 2200 2244 2291 2320 2370 2400 2420 2465 2523 2528 2550 2552 2607 2640 2662 2686 2720 2750 2784 2805 2900 2904 2958 2992 3000 3025 3160 3190 3200 3264 3300 3364 3400 3476 3480 3509 3520 3625 3630 3712 3740 3792 3828 3872 3944 3950 3993 4000 4029 4080 4114 4125 4205 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7454455800 7516576265 7540139200 7548816000 7611722800 7717554240 7775768550 7800144000 7874196000 7951419520 8039119000 8199901380 8294153120 8303697600 8489309664 8580158400 8746561472 8769948000 8843030900 8954968000 9019891518 9035704000 9048167040 9134067360 9147963000 9318069750 9425174000 9514653500 9646942800 9757827200 9939274400 9952983744 10249876725 10282008000 10367691400 10379622000 10498928000 10611637080 10725198000 10745961600 10842844800 10933201840 11053788625 11310208800 11319079552 11417584200 11693264000 11927129280 12026522024 12058678500 12178756480 12197284000 12424093000 12441229680 12862590400 12959614250 13119842208 13264546350 13306128000 13432452000 13553556000 13666502300 13839496000 14137761000 14148849440 14271980250 14300264000 14636740800 14908911600 15033152530 15080278400 15223445600 15435108480 15551537100 15748392000 16078238000 16399802760 16588306240 16607395200 16978619328 17083127875 17160316800 17493122944 17539896000 17686061800 17909936000 18039783036 18071408000 18268134720 18295926000 18636139500 18850348000 19029307000 19293885600 19439421375 19878548800 19905967488 20499753450 20564016000 20735382800 20759244000 21223274160 21450396000 21866403680 22107577250 22549728795 22620417600 22835168400 23854258560 24053044048 24117357000 24394568000 24848186000 24882459360 25725180800 25919228500 26239684416 26529092700 26864904000 27107112000 27333004600 27678992000 28275522000 28297698880 28543960500 28600528000 29273481600 29817823200 30066305060 30446891200 31103074200 31496784000 32156476000 32799605520 33161365875 33176612480 33957238656 34166255750 35079792000 35372123600 36079566072 36536269440 36591852000 37272279000 37582881325 37700696000 38058614000 38587771200 38878842750 39757097600 40999506900 41470765600 41518488000 42446548320 42900792000 43732807360 44215154500 45099457590 45240835200 45670336800 48106088096 48234714000 48789136000 49696372000 49764918720 51249383625 51838457000 52479368832 53058185400 53729808000 54214224000 54666009200 56551044000 56595397760 57087921000 59635646400 60132610120 60893782400 62206148400 64312952000 65599211040 66322731750 68332511500 70744247200 72159132144 73183704000 74544558000 75165762650 75401392000 76117228000 77175542400 77757685500 81999013800 82941531200 83036976000 84893096640 85801584000 87465614720 88430309000 90198915180 91340673600 96212176192 96469428000 99392744000 99529837440 102498767250 103676914000 106116370800 109332018400 112748643975 113102088000 114175842000 119271292800 120265220240 124412296800 128625904000 131198422080 132645463500 136665023000 141488494400 144318264288 146367408000 149089116000 150331525300 152234456000 155515371000 163998027600 165883062400 169786193280 176860618000 180397830360 182681347200 187914406625 192424352384 192938856000 198785488000 204997534500 207353828000 212232741600 218664036800 225497287950 226204176000 228351684000 240530440480 248824593600 262396844160 265290927000 273330046000 282976988800 288636528576 298178232000 300663050600 304468912000 311030742000 327996055200 353721236000 360795660720 375828813250 385877712000 409995069000 414707656000 424465483200 437328073600 450994575900 456703368000 481060880960 497649187200 530581854000 546660092000 563743219875 577273057152 596356464000 601326101200 622061484000 655992110400 707442472000 721591321440 751657626500 819990138000 829415312000 848930966400 901989151800 913406736000 962121761920 1061163708000 1093320184000 1127486439750 1202652202400 1244122968000 1311984220800 1414884944000 1443182642880 1503315253000 1639980276000 1803978303600 2122327416000 2186640368000 2254972879500 2405304404800 2488245936000 2886365285760 3006630506000 3279960552000 3607956607200 4244654832000 4509945759000 4810608809600 6013261012000 6559921104000 7215913214400 9019891518000 12026522024000 14431826428800 18039783036000 24053044048000 36079566072000 72159132144000
- Sum of all divisors σ(n): 292177315123200
- Sum of proper divisors (its aliquot sum) s(n): 220018182979200
- 72159132144000 is an abundant number, because the sum of its proper divisors (220018182979200) is greater than itself. Its abundance is 147859050835200
Bases of 72159132144000
- Binary: 100000110100000110110110111000001010001100000002
- Hexadecimal: 0x41A0DB705180
- Base-36: PKTG46NPC
Squares and roots of 72159132144000
- 72159132144000 squared (721591321440002) is 5206940351775254036736000000
- 72159132144000 cubed (721591321440003) is 375728296909676401026002454441984000000000
-
The
square root of 72159132144000 is 8494653.1503057849 -
The
cube root of 72159132144000 is 41632.3028162359
Scales and comparisons
How big is 72159132144000?- 72,159,132,144,000 seconds is equal to 2,294,437 years, 10 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 72,159,132,144,000 would take you about five million, seven hundred thirty-six thousand and ninety-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 72159132144000 cubic inches would be around 3469.4 feet tall.
Recreational maths with 72159132144000
- 72159132144000 backwards is 00044123195127
- The number of decimal digits it has is: 14
- The sum of 72159132144000's digits is 39
- More coming soon!
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Cite this page
MLA style:
"Number 72159132144000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 72159132144000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/72159132144000/
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The information we have on file for 72159132144000 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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