506428681728528000
506,428,681,728,528,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 506428681728528000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
506428681728528000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 506428681728528000:
27 × 32 × 53 × 132 × 973 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 97 × 97 × 97 × 151 × 151)See below for interesting mathematical facts about the number 506428681728528000 from the Numbermatics database.
Names of 506428681728528000
- Cardinal: 506428681728528000 can be written as Five hundred six quadrillion, four hundred twenty-eight trillion, six hundred eighty-one billion, seven hundred twenty-eight million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 5.06428681728528 × 1017
Factors of 506428681728528000
Divisors of 506428681728528000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 97 100 104 117 120 125 128 130 144 150 151 156 160 169 180 192 194 195 200 208 225 234 240 250 260 288 291 300 302 312 320 325 338 360 375 384 388 390 400 416 450 453 468 480 485 500 507 520 576 582 585 600 604 624 640 650 676 720 750 755 776 780 800 832 845 873 900 906 936 960 970 975 1000 1014 1040 1125 1152 1164 1170 1200 1208 1248 1261 1300 1352 1359 1440 1455 1500 1510 1521 1552 1560 1600 1625 1664 1690 1746 1800 1812 1872 1920 1940 1950 1963 2000 2028 2080 2250 2265 2328 2340 2400 2416 2425 2496 2522 2535 2600 2704 2718 2880 2910 2925 3000 3020 3042 3104 3120 3200 3250 3380 3492 3600 3624 3744 3775 3783 3880 3900 3926 4000 4056 4160 4225 4365 4500 4530 4656 4680 4800 4832 4850 4875 4992 5044 5070 5200 5408 5436 5760 5820 5850 5889 6000 6040 6084 6208 6240 6305 6500 6760 6795 6984 7200 7248 7275 7488 7550 7566 7605 7760 7800 7852 8000 8112 8320 8450 8730 9000 9060 9312 9360 9409 9600 9664 9700 9750 9815 10088 10140 10400 10816 10872 11325 11349 11640 11700 11778 12000 12080 12125 12168 12416 12480 12610 12675 13000 13520 13590 13968 14400 14496 14550 14625 14647 14976 15100 15132 15210 15520 15600 15704 16000 16224 16393 16900 17460 17667 18000 18120 18624 18720 18818 18875 18915 19328 19400 19500 19630 20176 20280 20800 21125 21632 21744 21825 22650 22698 22801 23280 23400 23556 24000 24160 24250 24336 24960 25220 25350 25519 26000 27040 27180 27936 28227 28800 28992 29100 29250 29294 29445 30200 30264 30420 31040 31200 31408 31525 32448 32786 33800 33975 34920 35334 36000 36240 36375 37248 37440 37636 37750 37830 38025 38800 39000 39260 40352 40560 41600 42250 43488 43650 43941 45300 45396 45602 46560 46800 47045 47112 48000 48320 48500 48672 49075 49179 50440 50700 51038 52000 54080 54360 55872 56454 56625 56745 57984 58200 58500 58588 58890 60400 60528 60840 62080 62400 62816 63050 63375 64896 65572 67600 67950 68403 69840 70668 72000 72480 72750 73235 74880 75272 75500 75660 76050 76557 77600 78000 78520 80704 81120 81965 84500 84681 86976 87300 87882 88335 90600 90792 91204 93120 93600 94090 94224 94575 96640 97000 97344 98150 98358 100880 101400 102076 104000 108160 108720 109125 111744 112908 113250 113490 114005 116400 117000 117176 117780 120800 121056 121680 122317 124800 125632 126100 126750 127595 131144 131823 135200 135900 136806 139680 141135 141336 144000 144960 145500 146470 147225 147537 150544 151000 151320 152100 153114 155200 156000 157040 157625 161408 162240 163930 169000 169362 169875 173952 174600 175764 176670 181200 181584 182408 186240 187200 188180 188448 189150 190125 190411 194000 194688 196300 196716 201760 202800 204152 205209 208000 217440 218250 219705 225816 226500 226980 228010 229671 232800 234000 234352 235225 235560 241600 242112 243360 244634 245375 245895 251264 252200 253500 255190 262288 263646 270400 271800 273612 279360 282270 282672 283725 289920 291000 292940 294450 295074 296413 301088 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49943656975200 50201098506000 51597420451200 51941403254208 52209142446240 52403630145750 52752987680055 53823858192000 54105628389800 54384523381500 55897205488800 56269853525392 58010158273600 59932388370240 60868831938525 62429571219000 63303585216066 64496775564000 64926754067760 65261428057800 66591542633600 66934798008000 67076646586560 67632035487250 69612189928320 69871506861000 70337316906740 72512697842000 74529607318400 74915485462800 77912104881312 80321757609600 81158442584700 81576785072250 83239428292000 83845808233200 84404780288088 85995700752000 86569005423680 87015237410400 87921646133425 93162009148000 93644356828500 97390131101640 99887313950400 100402197012000 101448053230875 103882806508416 104418284892480 104807260291500 105505975360110 108211256779600 108769046763000 111794410977600 112539707050784 116020316547200 119864776740480 121737663877050 124859142438000 126607170432132 128993551128000 129853508135520 130522856115600 133869596016000 134153293173120 135264070974500 139743013722000 140674633813480 145025395684000 149830970925600 155824209762624 158258963040165 162316885169400 163153570144500 166478856584000 167691616466400 168809560576176 173138010847360 174030474820800 175843292266850 186324018296000 187288713657000 194780262203280 199774627900800 200804394024000 202896106461750 208836569784960 209614520583000 211011950720220 216422513559200 217538093526000 223588821955200 225079414101568 243475327754100 249718284876000 253214340864264 257987102256000 259707016271040 261045712231200 263764938400275 270528141949000 279486027444000 281349267626960 290050791368000 299661941851200 304344159692625 311648419525248 316517926080330 324633770338800 326307140289000 332957713168000 335383232932800 337619121152352 348060949641600 351686584533700 372648036592000 374577427314000 389560524406560 401608788048000 405792212923500 419229041166000 422023901440440 432845027118400 435076187052000 439608230667125 450158828203136 486950655508200 499436569752000 506428681728528 519414032542080 522091424462400 527529876800550 541056283898000 558972054888000 562698535253920 580101582736000 599323883702400 608688319385250 633035852160660 649267540677600 652614280578000 670766465865600 675238242304704 703373169067400 749154854628000 779121048813120 791294815200825 811584425847000 838458082332000 844047802880880 865690054236800 870152374104000 879216461334250 973901311016400 998873139504000 1012857363457056 1044182848924800 1055059753601100 1082112567796000 1117944109776000 1125397070507840 1217376638770500 1266071704321320 1298535081355200 1305228561156000 1318824692001375 1350476484609408 1406746338134800 1498309709256000 1558242097626240 1582589630401650 1623168851694000 1676916164664000 1688095605761760 1740304748208000 1758432922668500 1947802622032800 2025714726914112 2110119507202200 2164225135592000 2250794141015680 2434753277541000 2532143408642640 2597070162710400 2610457122312000 2637649384002750 2813492676269600 2996619418512000 3165179260803300 3246337703388000 3353832329328000 3376191211523520 3516865845337000 3895605244065600 3956474076004125 4051429453828224 4220239014404400 4328450271184000 4869506555082000 5064286817285280 5220914244624000 5275298768005500 5626985352539200 6330358521606600 6492675406776000 6752382423047040 7033731690674000 7791210488131200 7912948152008250 8440478028808800 9739013110164000 10128573634570560 10550597536011000 11253970705078400 12660717043213200 12985350813552000 14067463381348000 15825896304016500 16880956057617600 19478026220328000 20257147269141120 21101195072022000 25321434086426400 28134926762696000 31651792608033000 33761912115235200 38956052440656000 42202390144044000 50642868172852800 56269853525392000 63303585216066000 84404780288088000 101285736345705600 126607170432132000 168809560576176000 253214340864264000 506428681728528000
- Sum of all divisors σ(n): 2003154175409914800
- Sum of proper divisors (its aliquot sum) s(n): 1496725493681386800
- 506428681728528000 is an abundant number, because the sum of its proper divisors (1496725493681386800) is greater than itself. Its abundance is 990296811952858800
Bases of 506428681728528000
- Binary: 111000001110011001000110011111011100111111110001110100000002
- Hexadecimal: 0x7073233EE7F8E80
- Base-36: 3UIHZGM43340
Squares and roots of 506428681728528000
- 506428681728528000 squared (5064286817285280002) is 256470009677294709753889046784000000
- 506428681728528000 cubed (5064286817285280003) is 129883768903775178719120024890749691379453952000000000
-
The
square root of 506428681728528000 is 711638027.1799196089 -
The
cube root of 506428681728528000 is 797087.6826080197
Scales and comparisons
How big is 506428681728528000?- 506,428,681,728,528,000 seconds is equal to 16,102,865,592 years, 10 weeks, 3 days, 16 hours.
-
To count from 1 to 506,428,681,728,528,000 would take you about forty-eight billion, three hundred eight million, five hundred ninety-six thousand, seven hundred seventy-six 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 506428681728528000 cubic inches would be around 66424 feet tall.
Recreational maths with 506428681728528000
- 506428681728528000 backwards is 000825827186824605
- 506428681728528000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 506428681728528000's digits is 72
- More coming soon!
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MLA style:
"Number 506428681728528000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 506428681728528000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/506428681728528000/
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Numbermatics. 2024. "Number 506428681728528000 - Facts about the integer". https://numbermatics.com/n/506428681728528000/
The information we have on file for 506428681728528000 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 506428681728528000, math, Factors of 506428681728528000, curriculum, school, college, exams, university, Prime factorization of 506428681728528000, STEM, science, technology, engineering, physics, economics, calculator, five hundred six quadrillion, four hundred twenty-eight trillion, six hundred eighty-one billion, seven hundred twenty-eight million, five hundred twenty-eight thousand.