428928431620000
428,928,431,620,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428928431620000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
428928431620000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 428928431620000:
25 × 54 × 13 × 31 × 73 × 89 × 8191
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 31 × 73 × 89 × 8191)See below for interesting mathematical facts about the number 428928431620000 from the Numbermatics database.
Names of 428928431620000
- Cardinal: 428928431620000 can be written as Four hundred twenty-eight trillion, nine hundred twenty-eight billion, four hundred thirty-one million, six hundred twenty thousand.
Scientific notation
- Scientific notation: 4.2892843162 × 1014
Factors of 428928431620000
Divisors of 428928431620000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 62 65 73 80 89 100 104 124 125 130 146 155 160 178 200 208 248 250 260 292 310 325 356 365 400 403 416 445 496 500 520 584 620 625 650 712 730 775 800 806 890 949 992 1000 1040 1157 1168 1240 1250 1300 1424 1460 1550 1612 1625 1780 1825 1898 2000 2015 2080 2225 2263 2314 2336 2480 2500 2600 2759 2848 2920 3100 3224 3250 3560 3650 3796 3875 4000 4030 4450 4526 4628 4745 4960 5000 5200 5518 5785 5840 6200 6448 6497 6500 7120 7300 7592 7750 8060 8125 8191 8900 9052 9125 9256 9490 10000 10075 10400 11036 11125 11315 11570 11680 12400 12896 12994 13000 13795 14240 14600 15184 15500 16120 16250 16382 17800 18104 18250 18512 18980 19375 20000 20150 22072 22250 22630 23140 23725 24800 25988 26000 27590 28925 29200 29419 30368 31000 32240 32485 32500 32764 35600 35867 36208 36500 37024 37960 38750 40300 40955 44144 44500 45260 45625 46280 47450 50375 51976 52000 55180 55625 56575 57850 58400 58838 62000 64480 64970 65000 65528 68975 71200 71734 72416 73000 75920 77500 80600 81910 84461 88288 89000 90520 91250 92560 94900 100750 103952 106483 110360 111250 113150 115700 117676 118625 124000 129940 130000 131056 137950 143468 144625 146000 147095 151840 155000 161200 162425 163820 168922 178000 179335 181040 182500 185120 189800 201407 201500 204775 207904 212966 220720 222500 226300 231400 235352 237250 251875 253921 259880 260000 262112 275900 282875 286936 289250 292000 294190 310000 322400 324850 327640 337844 344875 356000 358670 362080 365000 379600 402814 403000 409550 422305 425932 441440 445000 452600 462800 470704 474500 503750 507842 519760 532415 551800 565750 573872 578500 588380 593125 597943 620000 649700 655280 675688 689750 717340 723125 728999 730000 735475 759200 805628 806000 812125 819100 844610 851864 890000 896675 905200 925600 941408 949000 1007035 1007500 1015684 1023875 1039520 1064830 1103600 1131500 1147744 1157000 1176760 1186250 1195886 1269605 1299400 1310560 1351376 1379500 1414375 1434680 1446250 1457998 1460000 1470950 1611256 1612000 1624250 1638200 1689220 1703728 1724375 1780000 1793350 1810400 1898000 2014070 2015000 2031368 2047750 2111525 2129660 2207200 2263000 2314000 2353520 2372500 2391772 2539210 2598800 2618291 2662075 2702752 2759000 2828750 2869360 2892500 2915996 2941900 2989715 3222512 3248500 3276400 3300973 3378440 3407456 3448750 3586700 3644995 3677375 3796000 4028140 4030000 4060625 4062736 4095500 4223050 4259320 4483375 4526000 4628000 4707040 4745000 4783544 5035175 5078420 5119375 5197600 5236582 5324150 5518000 5657500 5738720 5785000 5831992 5883800 5979430 6348025 6445024 6497000 6552800 6601946 6756880 6897500 7173400 7289990 7354750 7773259 8056280 8060000 8121250 8125472 8191000 8446100 8518640 8966750 9052000 9476987 9490000 9567088 10070350 10156840 10238750 10473164 10557625 10648300 11036000 11315000 11570000 11663984 11767600 11958860 12696050 12994000 13091455 13203892 13310375 13513760 13795000 14346800 14579980 14709500 14948575 15546518 16112560 16242500 16382000 16504865 16892200 17037280 17933500 18224975 18386875 18536233 18953974 18980000 19134176 20140700 20313680 20477500 20946328 21115250 21296600 22416875 22598969 22630000 23140000 23327968 23535200 23917720 25175875 25392100 25988000 26182910 26407784 26620750 27590000 28693600 29159960 29419000 29897150 31093036 31740125 32225120 32485000 32764000 33009730 33784400 35867000 36449950 36773750 37072466 37907948 38866295 40281400 40627360 40955000 41892656 42230500 42593200 44833750 45197938 45260000 47384935 47835440 50351750 50784200 52365820 52788125 52815568 53216927 53241500 55180000 58319920 58838000 59794300 62186072 63480250 64970000 65457275 66019460 66551875 67568800 71734000 72899900 73547500 74144932 74742875 75815896 77732590 80562800 81910000 82524325 83785312 84461000 85186400 89667500 90395876 91124875 92681165 94769870 95670880 100703500 101568400 104731640 105576250 105631136 106433854 106483000 112994845 116639840 117676000 119588600 124372144 125879375 126960500 129940000 130914550 132038920 133103750 143468000 145799800 147095000 148289864 149485750 151631792 155465180 158700625 161125600 163820000 165048650 168922000 179335000 180791752 182249750 185362330 189539740 194331475 201407000 203136800 209463280 211152500 212867708 212966000 225989690 236924675 239177200 240971029 248744288 251758750 253921000 261829100 264077840 266084635 266207500 291599600 293786597 294190000 296579728 298971500 303263584 310930360 317401250 327286375 330097300 337844000 358670000 361583504 364499500 370724660 373714375 379079480 388662950 402814000 412621625 418926560 422305000 425735416 425932000 451979380 455624375 463405825 473849350 478354400 481942058 503517500 507842000 523658200 528155680 532169270 532415000 564974225 583199200 587573194 588380000 593159456 597943000 621860720 634802500 654572750 660194600 691820051 717340000 723167008 728999000 741449320 747428750 758158960 777325900 805628000 825243250 844610000 851470832 903958760 911248750 926811650 947698700 963884116 971657375 1007035000 1015684000 1047316400 1064338540 1064830000 1129948450 1175146388 1184623375 1195886000 1204855145 1243721440 1269605000 1309145500 1320389200 1330423175 1383640102 1457998000 1468932985 1482898640 1494857500 1516317920 1554651800 1636431875 1649724737 1650486500 1689220000 1702941664 1807917520 1822497500 1853623300 1895397400 1927768232 1943314750 2014070000 2063108125 2094632800 2128677080 2129660000 2259896900 2317029125 2350292776 2369246750 2391772000 2409710290 2539210000 2618291000 2640778400 2660846350 2767280204 2824871125 2915996000 2937865970 2965797280 2989715000 3109303600 3272863750 3299449474 3300973000 3459100255 3615835040 3644995000 3707246600 3790794800 3855536464 3886629500 4028140000 4126216250 4257354160 4519793800 4634058250 4700585552 4738493500 4819420580 4858286875 5078420000 5236582000 5321692700 5534560408 5649742250 5875731940 5923116875 5979430000 6024275725 6218607200 6545727500 6598898948 6601946000 6652115875 6918200510 7289990000 7344664925 7414493200 7581589600 7711072928 7773259000 8248623685 8252432500 8514708320 9039587600 9268116500 9401171104 9476987000 9638841160 9716573750 10473164000 10643385400 11069120816 11299484500 11585145625 11751463880 11846233750 11958860000 12048551450 13091455000 13197797896 13203892000 13304231750 13836401020 14124355625 14579980000 14689329850 14828986400 15546518000 16497247370 16504865000 17295501275 18079175200 18536233000 18953974000 19277682320 19433147500 21286770800 21446421581 22138241632 22598969000 23170291250 23502927760 23692467500 24097102900 26182910000 26395595792 26608463500 27672802040 28248711250 29378659700 30121378625 31093036000 32994494740 33009730000 33260579375 34591002550 36723324625 37072466000 37907948000 38555364640 38866295000 41243118425 42573541600 42892843162 45197938000 46340582500 47005855520 47384935000 48194205800 52365820000 52791191584 53216927000 55345604080 56497422500 58757319400 60242757250 65988989480 66019460000 66521158750 69182005100 73446649250 74144932000 77732590000 82486236850 85785686324 86477506375 90395876000 92681165000 94769870000 96388411600 106433854000 107232107905 110691208160 112994845000 117514638800 120485514500 131977978960 133042317500 138364010200 146893298500 150606893125 155465180000 164972473700 171571372648 172955012750 183616623125 185362330000 189539740000 192776823200 206215592125 212867708000 214464215810 225989690000 235029277600 240971029000 263955957920 266084635000 276728020400 293786597000 301213786250 329944947400 343142745296 345910025500 367233246250 370724660000 412431184250 428928431620 432387531875 451979380000 481942058000 532169270000 536160539525 553456040800 587573194000 602427572500 659889894800 686285490592 691820051000 734466492500 824862368500 857856863240 864775063750 963884116000 1031077960625 1064338540000 1072321079050 1175146388000 1204855145000 1319779789600 1383640102000 1468932985000 1649724737000 1715713726480 1729550127500 2062155921250 2144642158100 2409710290000 2680802697625 2767280204000 2937865970000 3299449474000 3431427452960 3459100255000 4124311842500 4289284316200 4819420580000 5361605395250 5875731940000 6598898948000 6918200510000 8248623685000 8578568632400 10723210790500 13404013488125 13836401020000 16497247370000 17157137264800 21446421581000 26808026976250 32994494740000 42892843162000 53616053952500 85785686324000 107232107905000 214464215810000 428928431620000
- Sum of all divisors σ(n): 1202634809671680
- Sum of proper divisors (its aliquot sum) s(n): 773706378051680
- 428928431620000 is an abundant number, because the sum of its proper divisors (773706378051680) is greater than itself. Its abundance is 344777946431680
Bases of 428928431620000
- Binary: 11000011000011011101011101100110011111111101000002
- Hexadecimal: 0x1861BAECCFFA0
- Base-36: 481J01KZ34
Squares and roots of 428928431620000
- 428928431620000 squared (4289284316200002) is 183979599451993015824400000000
- 428928431620000 cubed (4289284316200003) is 78914081043019175760753733327528000000000000
-
The
square root of 428928431620000 is 20710587.4281730599 -
The
cube root of 428928431620000 is 75415.6730887135
Scales and comparisons
How big is 428928431620000?- 428,928,431,620,000 seconds is equal to 13,638,597 years, 18 weeks, 6 days, 1 hour, 6 minutes, 40 seconds.
-
To count from 1 to 428,928,431,620,000 would take you about thirty-four million, ninety-six thousand, four 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 428928431620000 cubic inches would be around 6284.6 feet tall.
Recreational maths with 428928431620000
- 428928431620000 backwards is 000026134829824
- The number of decimal digits it has is: 15
- The sum of 428928431620000's digits is 49
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428928431620000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 428928431620000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/428928431620000/
Chicago style:
Numbermatics. 2024. "Number 428928431620000 - Facts about the integer". https://numbermatics.com/n/428928431620000/
The information we have on file for 428928431620000 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!
Keywords: Divisors of 428928431620000, math, Factors of 428928431620000, curriculum, school, college, exams, university, Prime factorization of 428928431620000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, nine hundred twenty-eight billion, four hundred thirty-one million, six hundred twenty thousand.