428269120128000
428,269,120,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428269120128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2640 divisors.
428269120128000 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 428269120128000:
210 × 34 × 53 × 17 × 612 × 653
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 61 × 61 × 653)See below for interesting mathematical facts about the number 428269120128000 from the Numbermatics database.
Names of 428269120128000
- Cardinal: 428269120128000 can be written as Four hundred twenty-eight trillion, two hundred sixty-nine billion, one hundred twenty million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.28269120128 × 1014
Factors of 428269120128000
Divisors of 428269120128000
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 61 64 68 72 75 80 81 85 90 96 100 102 108 120 122 125 128 135 136 144 150 153 160 162 170 180 183 192 200 204 216 225 240 244 250 255 256 270 272 288 300 305 306 320 324 340 360 366 375 384 400 405 408 425 432 450 459 480 488 500 510 512 540 544 549 576 600 610 612 640 648 653 675 680 720 732 750 765 768 800 810 816 850 864 900 915 918 960 976 1000 1020 1024 1037 1080 1088 1098 1125 1152 1200 1220 1224 1275 1280 1296 1306 1350 1360 1377 1440 1464 1500 1525 1530 1536 1600 1620 1632 1647 1700 1728 1800 1830 1836 1920 1952 1959 2000 2025 2040 2074 2125 2160 2176 2196 2250 2295 2304 2400 2440 2448 2550 2560 2592 2612 2700 2720 2745 2754 2880 2928 3000 3050 3060 3072 3111 3200 3240 3264 3265 3294 3375 3400 3456 3600 3660 3672 3721 3825 3840 3904 3918 4000 4050 4080 4148 4250 4320 4352 4392 4500 4575 4590 4608 4800 4880 4896 4941 5100 5120 5184 5185 5224 5400 5440 5490 5508 5760 5856 5877 6000 6100 6120 6222 6375 6400 6480 6528 6530 6588 6750 6800 6885 6912 7200 7320 7344 7442 7625 7650 7680 7808 7836 8000 8100 8160 8235 8296 8500 8640 8704 8784 9000 9150 9180 9216 9333 9600 9760 9792 9795 9882 10125 10200 10368 10370 10448 10800 10880 10980 11016 11101 11163 11475 11520 11712 11754 12000 12200 12240 12444 12750 12800 12960 13056 13060 13176 13500 13600 13725 13770 13824 14400 14640 14688 14884 15250 15300 15360 15555 15616 15672 16000 16200 16320 16325 16470 16592 17000 17280 17408 17568 17631 18000 18300 18360 18605 18666 19125 19200 19520 19584 19590 19764 20250 20400 20736 20740 20896 21600 21760 21960 22032 22202 22326 22875 22950 23040 23424 23508 24000 24400 24480 24705 24888 25500 25600 25920 25925 26112 26120 26352 27000 27200 27450 27540 27648 27999 28800 29280 29376 29385 29768 30500 30600 31110 31232 31344 32000 32400 32640 32650 32940 33184 33303 33489 34000 34425 34560 35136 35262 36000 36600 36720 37210 37332 38250 38400 39040 39168 39180 39528 39833 40500 40800 41175 41472 41480 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55982891520 56166441984 57547584000 58315512000 58506710400 59481822240 61960231500 62203212800 62980752960 63447277056 65007456000 65584857600 65604951000 66090913600 66917050020 67179469824 68831424000 69978614400 70208052480 71378186688 72872064000 73133388000 74352277800 77754016000 78008947200 78725941200 79309096320 81981072000 82597708800 82613642000 83646312525 83974337280 86676608000 87473268000 87760065600 89222733360 92940347250 93304819200 93610736640 95170915584 97511184000 98407426500 99136370400 100769204736 103247136000 104967921600 105745461760 107067280032 109308096000 109700082000 111528416700 111965783040 115095168000 116631024000 117013420800 118963644480 123920463000 125961505920 126894554112 130014912000 131169715200 131209902000 132181827200 133834100040 137662848000 139410520875 139957228800 140416104960 142756373376 146266776000 148704555600 155508032000 156017894400 157451882400 158618192640 163962144000 165227284000 167292625050 167948674560 174946536000 175520131200 178445466720 185880694500 186609638400 190341831168 195022368000 196814853000 198272740800 201538409472 206494272000 209935843200 211490923520 214134560064 218616192000 219400164000 223056833400 233262048000 234026841600 237927288960 247840926000 251923011840 260029824000 262419804000 264363654400 267668200080 278821041750 279914457600 280832209920 285512746752 292533552000 297409111200 311016064000 314903764800 317236385280 327924288000 330454568000 334585250100 335897349120 349893072000 351040262400 356890933440 371761389000 380683662336 390044736000 393629706000 396545481600 412988544000 418231562625 419871686400 428269120128 438800328000 446113666800 466524096000 468053683200 475854577920 495681852000 503846023680 524839608000 528727308800 535336400160 557642083500 559828915200 571025493504 585067104000 594818222400 629807529600 634472770560 655848576000 660909136000 669170500200 699786144000 702080524800 713781866880 743522778000 780089472000 787259412000 793090963200 836463125250 839743372800 856538240256 877600656000 892227333600 933048192000 951709155840 991363704000 1007692047360 1049679216000 1057454617600 1070672800320 1115284167000 1142050987008 1170134208000 1189636444800 1259615059200 1321818272000 1338341000400 1399572288000 1404161049600 1427563733760 1487045556000 1574518824000 1586181926400 1672926250500 1679486745600 1713076480512 1755201312000 1784454667200 1903418311680 1982727408000 2099358432000 2141345600640 2230568334000 2340268416000 2379272889600 2519230118400 2643636544000 2676682000800 2799144576000 2855127467520 2974091112000 3149037648000 3172363852800 3345852501000 3426152961024 3510402624000 3568909334400 3965454816000 4198716864000 4282691201280 4461136668000 4758545779200 5038460236800 5287273088000 5353364001600 5710254935040 5948182224000 6298075296000 6691705002000 7020805248000 7137818668800 7930909632000 8397433728000 8565382402560 8922273336000 9517091558400 10706728003200 11896364448000 12596150592000 13383410004000 14275637337600 15861819264000 17130764805120 17844546672000 21413456006400 23792728896000 25192301184000 26766820008000 28551274675200 35689093344000 42826912012800 47585457792000 53533640016000 71378186688000 85653824025600 107067280032000 142756373376000 214134560064000 428269120128000
- Sum of all divisors σ(n): 1720736638921872
- Sum of proper divisors (its aliquot sum) s(n): 1292467518793872
- 428269120128000 is an abundant number, because the sum of its proper divisors (1292467518793872) is greater than itself. Its abundance is 864198398665872
Bases of 428269120128000
- Binary: 11000010110000010001011001100011000000100000000002
- Hexadecimal: 0x185822CC60400
- Base-36: 47T448JK00
Squares and roots of 428269120128000
- 428269120128000 squared (4282691201280002) is 183414439255211294736384000000
- 428269120128000 cubed (4282691201280003) is 78550740518599844835478853388337152000000000
-
The
square root of 428269120128000 is 20694664.0496529927 -
The
cube root of 428269120128000 is 75377.0124681361
Scales and comparisons
How big is 428269120128000?- 428,269,120,128,000 seconds is equal to 13,617,633 years, 15 weeks, 3 days.
-
To count from 1 to 428,269,120,128,000 would take you about thirty-four million, forty-four thousand and eighty-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 428269120128000 cubic inches would be around 6281.4 feet tall.
Recreational maths with 428269120128000
- 428269120128000 backwards is 000821021962824
- 428269120128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428269120128000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 428269120128000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 428269120128000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/428269120128000/
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The information we have on file for 428269120128000 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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