506639132272000
506,639,132,272,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 506639132272000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
506639132272000 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 506639132272000:
27 × 53 × 72 × 133 × 19 × 113 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 19 × 113 × 137)See below for interesting mathematical facts about the number 506639132272000 from the Numbermatics database.
Names of 506639132272000
- Cardinal: 506639132272000 can be written as Five hundred six trillion, six hundred thirty-nine billion, one hundred thirty-two million, two hundred seventy-two thousand.
Scientific notation
- Scientific notation: 5.06639132272 × 1014
Factors of 506639132272000
Divisors of 506639132272000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 38 40 49 50 52 56 64 65 70 76 80 91 95 98 100 104 112 113 125 128 130 133 137 140 152 160 169 175 182 190 196 200 208 224 226 245 247 250 260 266 274 280 304 320 325 338 350 364 380 392 400 416 448 452 455 475 490 494 500 520 532 548 560 565 608 637 640 650 665 676 685 700 728 760 784 791 800 832 845 875 896 904 910 931 950 959 980 988 1000 1040 1064 1096 1120 1130 1183 1216 1225 1235 1274 1300 1330 1352 1370 1400 1456 1469 1520 1568 1582 1600 1625 1664 1690 1729 1750 1781 1808 1820 1862 1900 1918 1960 1976 2000 2080 2128 2147 2192 2197 2240 2260 2275 2366 2375 2432 2450 2470 2548 2600 2603 2660 2704 2740 2800 2825 2912 2938 3040 3136 3164 3185 3200 3211 3250 3325 3380 3425 3458 3500 3562 3616 3640 3724 3800 3836 3920 3952 3955 4000 4160 4225 4256 4294 4384 4394 4480 4520 4550 4655 4732 4750 4795 4900 4940 5096 5200 5206 5320 5408 5480 5537 5600 5650 5824 5876 5915 6080 6125 6175 6272 6328 6370 6422 6500 6650 6713 6760 6850 6916 7000 7124 7232 7280 7345 7448 7600 7672 7840 7904 7910 8000 8281 8320 8450 8512 8588 8645 8768 8788 8905 9040 9100 9310 9464 9500 9590 9800 9880 10192 10283 10400 10412 10640 10735 10816 10960 10985 11074 11200 11300 11375 11648 11752 11830 12103 12160 12250 12350 12467 12656 12740 12844 13000 13015 13300 13426 13520 13700 13832 14000 14125 14248 14464 14560 14690 14896 15029 15200 15344 15379 15481 15680 15808 15820 15925 16000 16055 16562 16625 16900 17024 17125 17176 17290 17536 17576 17810 18080 18200 18221 18620 18928 19000 19097 19180 19600 19760 19775 20384 20566 20800 20824 21125 21280 21470 21632 21920 21970 22148 22400 22477 22600 22750 23153 23275 23504 23660 23975 24206 24500 24700 24934 25312 25480 25688 26000 26030 26600 26852 27040 27400 27664 27685 27911 28000 28250 28496 29120 29380 29575 29792 30058 30400 30688 30758 30875 30962 31360 31616 31640 31850 32110 33124 33250 33565 33800 33839 34250 34352 34580 35152 35620 36160 36400 36442 36725 37240 37856 38000 38194 38360 39200 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3155647040 3181407424 3202522960 3204954025 3220048000 3231116915 3272651200 3294356800 3301871300 3316222000 3333152186 3345831125 3371076800 3401175700 3426131072 3448870880 3475654000 3479664370 3519256000 3555861400 3603202750 3630390400 3660026240 3662804600 3687115250 3698095856 3743012000 3747330860 3773567200 3789968000 3809316784 3823807000 3892732480 3944558800 3972176000 3976759280 4003153700 4063841600 4090814000 4102341152 4117946000 4127339125 4186062400 4213846000 4226395264 4251469625 4282663840 4311088600 4353504896 4376444800 4444826750 4483532144 4508067200 4523563681 4537988000 4575032800 4578505750 4612099520 4622619820 4675216000 4684163575 4706224000 4716959000 4719507520 4761645980 4815824000 4865915600 4871530118 4926958400 4930698500 4970949100 5003942125 5079802000 5124036736 5127926440 5169787064 5232578000 5282994080 5305955200 5353329800 5388860750 5441881120 5470556000 5561046400 5567462992 5604415180 5635084000 5689378240 5718791000 5765124400 5778274775 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24634792000 24854745500 25620183680 25639632200 25848935320 26414970400 26529776000 26665217488 26766649000 27209405600 27805232000 27837314960 28022075900 28446891200 28825622000 28891373875 29302436800 29496922000 29584766848 29760287375 29978646880 30474534272 30590456000 31556470400 31664945767 31814074240 32025229600 32049540250 32311169150 32726512000 32943568000 33018713000 33331521860 33710768000 34011757000 34488708800 34796643700 35027594875 35558614000 35868257152 36188509448 36628046000 36980958560 37473308600 37735672000 38093167840 38927324800 38972240944 39445588000 39767592800 40031537000 40638416000 41023411520 41358296512 41664402325 41860624000 42826638400 43110886000 43495804625 44539703936 44835321440 45235636810 45750328000 46120995200 46226198200 46841635750 47195075200 47616459800 48659156000 48715301180 49269584000 49709491000 51279264400 51697870640 52829940800 53330434976 53533298000 54418811200 55674629920 56044151800 56893782400 57651244000 57782747750 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172443544000 173983218500 179341285760 180942547240 184904792800 187366543000 190465839200 194636624000 194861204720 198837964000 205117057600 206791482560 208322011625 213321739904 214133192000 222698519680 224176607200 226178184050 230604976000 231130991000 235975376000 238082299000 243576505900 253319566136 256396322000 258489353200 264149704000 266652174880 272094056000 278373149600 280220759000 284468912000 289508075584 293024368000 299786468800 304470632375 311777927552 316649457670 320252296000 323111691500 333315218600 344887088000 347966437000 361885094480 369809585600 374733086000 380931678400 389722409440 397675928000 410234115200 413582965120 416644023250 428266384000 448353214400 452356368100 462261982000 476164598000 487153011800 506639132272 512792644000 516978706400 528299408000 533304349760 544188112000 556746299200 560441518000 565445460125 579016151168 599572937600 608941264750 633298915340 640504592000 646223383000 666630437200 695932874000 723770188960 739619171200 749466172000 761863356800 779444818880 791623644175 795351856000 833288046500 896706428800 904712736200 924523964000 952329196000 974306023600 1013278264544 1025585288000 1033957412800 1066608699520 1113492598400 1120883036000 1130890920250 1217882529500 1266597830680 1292446766000 1333260874400 1391865748000 1447540377920 1498932344000 1558889637760 1583247288350 1666576093000 1809425472400 1849047928000 1904658392000 1948612047200 2026556529088 2051170576000 2067914825600 2241766072000 2261781840500 2435765059000 2533195661360 2584893532000 2666521748800 2783731496000 2895080755840 2997864688000 3166494576700 3333152186000 3618850944800 3698095856000 3809316784000 3897224094400 3958118220875 4053113058176 4483532144000 4523563681000 4871530118000 5066391322720 5169787064000 5333043497600 5567462992000 6332989153400 6666304372000 7237701889600 7794448188800 7916236441750 9047127362000 9743060236000 10132782645440 10339574128000 12665978306800 13332608744000 14475403779200 15832472883500 18094254724000 19486120472000 20265565290880 25331956613600 26665217488000 31664945767000 36188509448000 38972240944000 50663913227200 63329891534000 72377018896000 101327826454400 126659783068000 253319566136000 506639132272000
- Sum of all divisors σ(n): 1697972002272000
- Sum of proper divisors (its aliquot sum) s(n): 1191332870000000
- 506639132272000 is an abundant number, because the sum of its proper divisors (1191332870000000) is greater than itself. Its abundance is 684693737728000
Bases of 506639132272000
- Binary: 11100110011001001000111011000001000100101100000002
- Hexadecimal: 0x1CCC91D822580
- Base-36: 4ZL6SYBIPS
Squares and roots of 506639132272000
- 506639132272000 squared (5066391322720002) is 256683210349325111881984000000
- 506639132272000 cubed (5066391322720003) is 130045758960173324684707690629787648000000000
-
The
square root of 506639132272000 is 22508645.7227439607 -
The
cube root of 506639132272000 is 79719.8079399731
Scales and comparisons
How big is 506639132272000?- 506,639,132,272,000 seconds is equal to 16,109,557 years, 13 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 506,639,132,272,000 would take you about forty million, two hundred seventy-three thousand, eight hundred ninety-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 506639132272000 cubic inches would be around 6643.3 feet tall.
Recreational maths with 506639132272000
- 506639132272000 backwards is 000272231936605
- The number of decimal digits it has is: 15
- The sum of 506639132272000's digits is 46
- More coming soon!
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"Number 506639132272000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 506639132272000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/506639132272000/
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The information we have on file for 506639132272000 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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