480332528133120
480,332,528,133,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 480332528133120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2640 divisors.
480332528133120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 480332528133120:
210 × 34 × 5 × 132 × 293 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 29 × 29 × 29 × 281)See below for interesting mathematical facts about the number 480332528133120 from the Numbermatics database.
Names of 480332528133120
- Cardinal: 480332528133120 can be written as Four hundred eighty trillion, three hundred thirty-two billion, five hundred twenty-eight million, one hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.8033252813312 × 1014
Factors of 480332528133120
Divisors of 480332528133120
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 29 30 32 36 39 40 45 48 52 54 58 60 64 65 72 78 80 81 87 90 96 104 108 116 117 120 128 130 135 144 145 156 160 162 169 174 180 192 195 208 216 232 234 240 256 260 261 270 281 288 290 312 320 324 338 348 351 360 377 384 390 405 416 432 435 464 468 480 507 512 520 522 540 562 576 580 585 624 640 648 676 696 702 720 754 768 780 783 810 832 841 843 845 864 870 928 936 960 1014 1024 1040 1044 1053 1080 1124 1131 1152 1160 1170 1248 1280 1296 1305 1352 1392 1404 1405 1440 1508 1521 1536 1560 1566 1620 1664 1682 1686 1690 1728 1740 1755 1856 1872 1885 1920 2028 2080 2088 2106 2160 2248 2262 2304 2320 2340 2349 2496 2523 2529 2535 2560 2592 2610 2704 2784 2808 2810 2880 3016 3042 3072 3120 3132 3240 3328 3364 3372 3380 3393 3456 3480 3510 3653 3712 3744 3770 3840 3915 4056 4160 4176 4205 4212 4215 4320 4496 4524 4563 4608 4640 4680 4698 4901 4992 5046 5058 5070 5120 5184 5220 5265 5408 5568 5616 5620 5655 5760 6032 6084 6240 6264 6480 6656 6728 6744 6760 6786 6912 6960 7020 7306 7424 7488 7540 7569 7587 7605 7680 7830 8112 8149 8320 8352 8410 8424 8430 8640 8992 9048 9126 9216 9280 9360 9396 9802 9984 10092 10116 10140 10179 10368 10440 10530 10816 10933 10959 11136 11232 11240 11310 11520 11745 12064 12168 12480 12528 12615 12645 12960 13312 13456 13488 13520 13572 13689 13824 13920 14040 14612 14703 14848 14976 15080 15138 15174 15210 15360 15660 16224 16298 16640 16704 16820 16848 16860 16965 17280 17984 18096 18252 18265 18560 18720 18792 19604 19968 20184 20232 20280 20358 20736 20880 21060 21632 21866 21918 22272 22464 22480 22620 22707 22761 22815 23040 23490 24128 24336 24389 24447 24505 24960 25056 25230 25290 25920 26912 26976 27040 27144 27378 27648 27840 28080 29224 29406 29696 29952 30160 30276 30348 30420 30537 31320 32448 32596 32799 32877 33280 33408 33640 33696 33720 33930 34560 35968 36192 36504 36530 37120 37440 37584 37845 37935 39208 39936 40368 40464 40560 40716 40745 41472 41760 42120 43264 43732 43836 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55594042608 56978947584 57019530880 57114450432 57511078560 57732275016 58943738880 59212589760 61345150464 62543297934 63160095744 63309941760 63460500480 63704579328 64146972240 64699963380 65744939520 68423437056 69013294272 69492553260 70782865920 71055107712 71223684480 71393063040 72165343770 74125390144 76681438080 76976366688 78950119680 79630724160 83391063912 84939439104 85468421376 85529296320 86266617840 88818884640 91231249408 92017725696 92656737680 93814946901 94740143616 94964912640 95190750720 96220458360 98007045120 102241917440 102635155584 103519941408 104238829890 105266826240 106174298880 106835526720 111188085216 113957895168 114039061760 114228900864 115022157120 115464550032 118425179520 122690300928 125086595868 127409158656 128293944480 129399926760 131489879040 136846874112 138026588544 138985106520 141565731840 142110215424 142447368960 142786126080 144330687540 148250780288 153362876160 153952733376 156358244835 157900239360 159261448320 166782127824 170936842752 171058592640 172533235680 177637769280 184035451392 185313475360 187629893802 189480287232 189929825280 190381501440 192440916720 204483834880 205270311168 207039882816 208477659780 212348597760 213671053440 222376170432 228078123520 230044314240 230929100064 236850359040 250173191736 254818317312 256587888960 258799853520 273693748224 276053177088 277970213040 284220430848 284894737920 285572252160 288661375080 296501560576 306725752320 307905466752 312716489670 315800478720 318522896640 333564255648 341873685504 342117185280 345066471360 355275538560 368070902784 370626950720 375259787604 384881833440 410540622336 414079765632 416955319560 424697195520 427342106880 444752340864 456156247040 460088628480 461858200128 469074734505 473700718080 500346383472 513175777920 517599707040 552106354176 555940426080 568440861696 569789475840 571144504320 577322750160 593003121152 613451504640 615810933504 625432979340 637045793280 667128511296 684234370560 690132942720 710551077120 741253901440 750519575208 769763666880 821081244672 828159531264 833910639120 854684213760 889504681728 920177256960 923716400256 938149469010 947401436160 1000692766944 1026351555840 1035199414080 1104212708352 1111880852160 1154645500320 1186006242304 1231621867008 1250865958680 1274091586560 1334257022592 1368468741120 1380265885440 1421102154240 1482507802880 1501039150416 1539527333760 1656319062528 1667821278240 1709368427520 1779009363456 1840354513920 1847432800512 1876298938020 2001385533888 2052703111680 2070398828160 2223761704320 2309291000640 2463243734016 2501731917360 2668514045184 2760531770880 2842204308480 2965015605760 3002078300832 3079054667520 3312638125056 3335642556480 3558018726912 3694865601024 3752597876040 4002771067776 4105406223360 4140797656320 4447523408640 4618582001280 5003463834720 5337028090368 5521063541760 5930031211520 6004156601664 6158109335040 6671285112960 7389731202048 7505195752080 8005542135552 8281595312640 8895046817280 9237164002560 10006927669440 10674056180736 12008313203328 12316218670080 13342570225920 15010391504160 16011084271104 16563190625280 17790093634560 18474328005120 20013855338880 24016626406656 26685140451840 30020783008320 32022168542208 36948656010240 40027710677760 48033252813312 53370280903680 60041566016640 80055421355520 96066505626624 120083132033280 160110842711040 240166264066560 480332528133120
- Sum of all divisors σ(n): 1937260429402320
- Sum of proper divisors (its aliquot sum) s(n): 1456927901269200
- 480332528133120 is an abundant number, because the sum of its proper divisors (1456927901269200) is greater than itself. Its abundance is 976595373136080
Bases of 480332528133120
- Binary: 11011010011011100001000011011011010100100000000002
- Hexadecimal: 0x1B4DC21B6A400
- Base-36: 4Q9HPTFK00
Squares and roots of 480332528133120
- 480332528133120 squared (4803325281331202) is 230719337582754516272440934400
- 480332528133120 cubed (4803325281331203) is 110822002710323244223574971957221500387328000
-
The
square root of 480332528133120 is 21916489.8679765781 -
The
cube root of 480332528133120 is 78315.4292557145
Scales and comparisons
How big is 480332528133120?- 480,332,528,133,120 seconds is equal to 15,273,088 years, 32 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 480,332,528,133,120 would take you about thirty-eight million, one hundred eighty-two thousand, seven hundred twenty-one 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 480332528133120 cubic inches would be around 6526.3 feet tall.
Recreational maths with 480332528133120
- 480332528133120 backwards is 021331825233084
- 480332528133120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 480332528133120's digits is 45
- More coming soon!
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"Number 480332528133120 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 480332528133120 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/480332528133120/
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Numbermatics. 2024. "Number 480332528133120 - Facts about the integer". https://numbermatics.com/n/480332528133120/
The information we have on file for 480332528133120 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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