428945735680000
428,945,735,680,000 is an even composite number composed of five prime numbers multiplied together.
428945735680000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twenty divisors.
Prime factorization of 428945735680000:
218 × 54 × 7 × 113 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 281)See below for interesting mathematical facts about the number 428945735680000 from the Numbermatics database.
Names of 428945735680000
- Cardinal: 428945735680000 can be written as Four hundred twenty-eight trillion, nine hundred forty-five billion, seven hundred thirty-five million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 4.2894573568 × 1014
Factors of 428945735680000
Divisors of 428945735680000
- Number of divisors d(n): 1520
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 110 112 121 125 128 140 154 160 175 176 200 220 224 242 250 256 275 280 281 308 320 350 352 385 400 440 448 484 500 512 550 560 562 605 616 625 640 700 704 770 800 847 875 880 896 968 1000 1024 1100 1120 1124 1210 1232 1250 1280 1331 1375 1400 1405 1408 1540 1600 1694 1750 1760 1792 1925 1936 1967 2000 2048 2200 2240 2248 2420 2464 2500 2560 2662 2750 2800 2810 2816 3025 3080 3091 3200 3388 3500 3520 3584 3850 3872 3934 4000 4096 4235 4375 4400 4480 4496 4840 4928 5000 5120 5324 5500 5600 5620 5632 6050 6160 6182 6400 6655 6776 6875 7000 7025 7040 7168 7700 7744 7868 8000 8192 8470 8750 8800 8960 8992 9317 9625 9680 9835 9856 10000 10240 10648 11000 11200 11240 11264 12100 12320 12364 12800 13310 13552 13750 14000 14050 14080 14336 15125 15400 15455 15488 15736 16000 16384 16940 17500 17600 17920 17984 18634 19250 19360 19670 19712 20000 20480 21175 21296 21637 22000 22400 22480 22528 24200 24640 24728 25600 26620 27104 27500 28000 28100 28160 28672 30250 30800 30910 30976 31472 32000 32768 33275 33880 34001 35000 35125 35200 35840 35968 37268 38500 38720 39340 39424 40000 40960 42350 42592 43274 44000 44800 44960 45056 46585 48125 48400 49175 49280 49456 51200 53240 54208 55000 56000 56200 56320 57344 60500 61600 61820 61952 62944 64000 65536 66550 67760 68002 70000 70250 70400 71680 71936 74536 75625 77000 77275 77440 78680 78848 80000 81920 84700 85184 86548 88000 89600 89920 90112 93170 96250 96800 98350 98560 98912 102400 105875 106480 108185 108416 110000 112000 112400 112640 114688 121000 123200 123640 123904 125888 128000 131072 133100 135520 136004 140000 140500 140800 143360 143872 149072 151250 154000 154550 154880 157360 157696 160000 163840 166375 169400 170005 170368 173096 175625 176000 179200 179840 180224 186340 192500 193600 196700 197120 197824 204800 211750 212960 216370 216832 220000 224000 224800 225280 229376 232925 238007 242000 245875 246400 247280 247808 251776 256000 262144 266200 271040 272008 280000 281000 281600 286720 287744 298144 302500 308000 309100 309760 314720 315392 320000 327680 332750 338800 340010 340736 346192 351250 352000 358400 359680 360448 372680 374011 385000 386375 387200 393400 394240 395648 409600 423500 425920 432740 433664 440000 448000 449600 450560 458752 465850 476014 484000 491750 492800 494560 495616 503552 512000 529375 532400 540925 542080 544016 560000 562000 563200 573440 575488 596288 605000 616000 618200 619520 629440 630784 640000 655360 665500 677600 680020 681472 692384 702500 704000 716800 719360 720896 745360 748022 770000 772750 774400 786800 788480 791296 819200 831875 847000 850025 851840 865480 867328 880000 896000 899200 901120 917504 931700 952028 968000 983500 985600 989120 991232 1007104 1024000 1058750 1064800 1081850 1084160 1088032 1120000 1124000 1126400 1146880 1150976 1164625 1190035 1192576 1210000 1229375 1232000 1236400 1239040 1258880 1261568 1280000 1310720 1331000 1355200 1360040 1362944 1384768 1405000 1408000 1433600 1438720 1441792 1490720 1496044 1540000 1545500 1548800 1573600 1576960 1582592 1638400 1663750 1694000 1700050 1703680 1730960 1734656 1760000 1792000 1798400 1802240 1835008 1863400 1870055 1904056 1931875 1936000 1967000 1971200 1978240 1982464 2014208 2048000 2117500 2129600 2163700 2168320 2176064 2240000 2248000 2252800 2293760 2301952 2329250 2380070 2385152 2420000 2458750 2464000 2472800 2478080 2517760 2523136 2560000 2618077 2662000 2704625 2710400 2720080 2725888 2769536 2810000 2816000 2867200 2877440 2883584 2981440 2992088 3080000 3091000 3097600 3147200 3153920 3165184 3276800 3327500 3388000 3400100 3407360 3461920 3469312 3520000 3584000 3596800 3604480 3726800 3740110 3808112 3863750 3872000 3934000 3942400 3956480 3964928 4028416 4096000 4235000 4250125 4259200 4327400 4336640 4352128 4480000 4496000 4505600 4587520 4603904 4658500 4760140 4770304 4840000 4917500 4928000 4945600 4956160 5035520 5046272 5120000 5236154 5324000 5409250 5420800 5440160 5451776 5539072 5620000 5632000 5734400 5754880 5823125 5950175 5962880 5984176 6160000 6182000 6195200 6294400 6307840 6330368 6553600 6655000 6776000 6800200 6814720 6923840 6938624 7040000 7168000 7193600 7208960 7453600 7480220 7616224 7727500 7744000 7868000 7884800 7912960 7929856 8056832 8192000 8470000 8500250 8518400 8654800 8673280 8704256 8960000 8992000 9011200 9175040 9207808 9317000 9350275 9520280 9540608 9680000 9835000 9856000 9891200 9912320 10071040 10092544 10240000 10472308 10648000 10818500 10841600 10880320 10903552 11078144 11240000 11264000 11468800 11509760 11646250 11900350 11925760 11968352 12320000 12364000 12390400 12588800 12615680 12660736 13090385 13310000 13523125 13552000 13600400 13629440 13847680 13877248 14080000 14336000 14387200 14417920 14907200 14960440 15232448 15455000 15488000 15736000 15769600 15825920 15859712 16113664 16384000 16940000 17000500 17036800 17309600 17346560 17408512 17920000 17984000 18022400 18415616 18634000 18700550 19040560 19081216 19360000 19670000 19712000 19782400 19824640 20142080 20185088 20480000 20944616 21250625 21296000 21637000 21683200 21760640 21807104 22156288 22480000 22528000 22937600 23019520 23292500 23800700 23851520 23936704 24640000 24728000 24780800 25177600 25231360 25321472 26180770 26620000 27046250 27104000 27200800 27258880 27695360 27754496 28160000 28672000 28774400 29750875 29814400 29920880 30464896 30910000 30976000 31472000 31539200 31651840 31719424 32227328 32768000 33880000 34001000 34073600 34619200 34693120 34817024 35840000 35968000 36044800 36831232 37268000 37401100 38081120 38162432 38720000 39340000 39424000 39564800 39649280 40284160 40960000 41889232 42501250 42592000 43274000 43366400 43521280 43614208 44312576 44960000 45056000 45875200 46039040 46585000 46751375 47601400 47703040 47873408 49280000 49456000 49561600 50355200 50462720 50642944 52361540 53240000 54092500 54208000 54401600 54517760 55390720 55508992 56320000 57344000 57548800 59501750 59628800 59841760 60929792 61820000 61952000 62944000 63078400 63303680 64454656 65451925 67760000 68002000 68147200 69238400 69386240 69634048 71680000 71936000 72089600 73662464 74536000 74802200 76162240 76324864 77440000 78680000 78848000 79129600 79298560 80568320 81920000 83778464 85002500 85184000 86548000 86732800 87042560 87228416 88625152 89920000 90112000 92078080 93170000 93502750 95202800 95406080 95746816 98560000 98912000 99123200 100710400 100925440 101285888 104723080 106480000 108185000 108416000 108803200 109035520 110781440 111017984 112640000 114688000 115097600 119003500 119257600 119683520 121859584 123640000 123904000 125888000 126156800 126607360 128909312 130903850 135520000 136004000 136294400 138476800 138772480 139268096 143360000 143872000 148754375 149072000 149604400 152324480 152649728 154880000 157360000 157696000 158259200 158597120 161136640 163840000 167556928 170005000 170368000 173096000 173465600 174085120 174456832 177250304 179840000 180224000 184156160 186340000 187005500 190405600 190812160 191493632 197120000 197824000 198246400 201420800 202571776 209446160 212960000 216370000 216832000 217606400 218071040 221562880 222035968 225280000 229376000 230195200 233756875 238007000 238515200 239367040 243719168 247280000 247808000 251776000 252313600 253214720 257818624 261807700 271040000 272008000 272588800 276953600 277544960 278536192 286720000 287744000 297508750 298144000 299208800 304648960 305299456 309760000 314720000 315392000 316518400 322273280 327259625 335113856 340010000 340736000 346192000 346931200 348170240 348913664 354500608 359680000 360448000 368312320 372680000 374011000 380811200 381624320 382987264 394240000 395648000 396492800 402841600 405143552 418892320 425920000 432740000 433664000 435212800 436142080 443125760 450560000 460390400 467513750 476014000 477030400 478734080 487438336 494560000 495616000 503552000 504627200 506429440 515637248 523615400 542080000 544016000 545177600 553907200 555089920 557072384 573440000 575488000 595017500 596288000 598417600 609297920 610598912 619520000 629440000 630784000 633036800 644546560 654519250 670227712 680020000 681472000 692384000 693862400 696340480 709001216 719360000 745360000 748022000 761622400 763248640 765974528 788480000 791296000 792985600 805683200 810287104 837784640 851840000 865480000 867328000 870425600 872284160 886251520 901120000 920780800 935027500 952028000 954060800 957468160 974876672 989120000 991232000 1007104000 1012858880 1047230800 1084160000 1088032000 1090355200 1107814400 1110179840 1114144768 1146880000 1150976000 1190035000 1192576000 1196835200 1218595840 1221197824 1239040000 1258880000 1261568000 1266073600 1289093120 1309038500 1340455424 1360040000 1362944000 1384768000 1387724800 1392680960 1418002432 1438720000 1490720000 1496044000 1523244800 1526497280 1531949056 1576960000 1582592000 1611366400 1636298125 1675569280 1703680000 1730960000 1734656000 1740851200 1744568320 1772503040 1802240000 1841561600 1870055000 1904056000 1908121600 1914936320 1949753344 1978240000 1982464000 2014208000 2025717760 2094461600 2168320000 2176064000 2180710400 2215628800 2228289536 2301952000 2380070000 2385152000 2393670400 2437191680 2442395648 2478080000 2517760000 2523136000 2532147200 2578186240 2618077000 2680910848 2720080000 2725888000 2769536000 2775449600 2785361920 2836004864 2877440000 2981440000 2992088000 3046489600 3052994560 3063898112 3153920000 3165184000 3222732800 3272596250 3351138560 3407360000 3461920000 3469312000 3481702400 3545006080 3740110000 3808112000 3816243200 3829872640 3899506688 3956480000 3964928000 4028416000 4051435520 4188923200 4336640000 4352128000 4361420800 4431257600 4456579072 4603904000 4760140000 4770304000 4787340800 4874383360 4956160000 5035520000 5064294400 5236154000 5361821696 5440160000 5451776000 5539072000 5550899200 5570723840 5672009728 5754880000 5962880000 5984176000 6092979200 6105989120 6127796224 6307840000 6330368000 6445465600 6545192500 6702277120 6814720000 6923840000 6938624000 6963404800 7090012160 7480220000 7616224000 7632486400 7659745280 7799013376 7912960000 8056832000 8377846400 8673280000 8704256000 8722841600 8862515200 8913158144 9207808000 9520280000 9540608000 9574681600 9748766720 9912320000 10071040000 10128588800 10472308000 10723643392 10880320000 10903552000 11078144000 11141447680 11509760000 11925760000 11968352000 12185958400 12211978240 12255592448 12615680000 12660736000 12890931200 13090385000 13404554240 13629440000 13847680000 13877248000 13926809600 14180024320 14960440000 15232448000 15264972800 15319490560 15598026752 15825920000 16113664000 16755692800 17346560000 17408512000 17725030400 19040560000 19081216000 19149363200 19497533440 19824640000 20142080000 20257177600 20944616000 21447286784 21760640000 21807104000 22156288000 22282895360 23019520000 23851520000 23936704000 24371916800 24511184896 25321472000 26180770000 26809108480 27258880000 27695360000 27754496000 27853619200 28360048640 29920880000 30464896000 30529945600 30638981120 31196053504 31651840000 32227328000 33511385600 34693120000 34817024000 35450060800 38081120000 38162432000 38298726400 38995066880 40284160000 41889232000 42894573568 43521280000 43614208000 44312576000 44565790720 46039040000 47703040000 47873408000 48743833600 49022369792 50642944000 52361540000 53618216960 54517760000 55390720000 55707238400 59841760000 60929792000 61059891200 61277962240 62392107008 63303680000 64454656000 67022771200 69386240000 69634048000 70900121600 76162240000 76324864000 76597452800 77990133760 80568320000 83778464000 85789147136 87042560000 88625152000 95406080000 95746816000 97487667200 98044739584 101285888000 104723080000 107236433920 109035520000 110781440000 111414476800 119683520000 121859584000 122555924480 126607360000 134045542400 138772480000 139268096000 141800243200 152324480000 152649728000 153194905600 155980267520 161136640000 167556928000 171578294272 174085120000 177250304000 190812160000 191493632000 194975334400 209446160000 214472867840 218071040000 221562880000 222828953600 239367040000 243719168000 245111848960 253214720000 268091084800 278536192000 304648960000 305299456000 306389811200 311960535040 322273280000 335113856000 343156588544 348170240000 354500608000 381624320000 382987264000 389950668800 418892320000 428945735680 443125760000 478734080000 487438336000 490223697920 506429440000 536182169600 557072384000 609297920000 612779622400 670227712000 686313177088 696340480000 709001216000 763248640000 765974528000 779901337600 837784640000 857891471360 886251520000 957468160000 974876672000 1072364339200 1114144768000 1218595840000 1225559244800 1340455424000 1392680960000 1526497280000 1531949056000 1559802675200 1675569280000 1715782942720 1772503040000 1914936320000 1949753344000 2144728678400 2437191680000 2451118489600 2680910848000 2785361920000 3063898112000 3351138560000 3431565885440 3545006080000 3829872640000 3899506688000 4289457356800 4874383360000 5361821696000 5570723840000 6127796224000 6702277120000 7659745280000 7799013376000 8578914713600 9748766720000 10723643392000 12255592448000 13404554240000 15319490560000 17157829427200 19497533440000 21447286784000 26809108480000 30638981120000 38995066880000 42894573568000 53618216960000 61277962240000 85789147136000 107236433920000 214472867840000 428945735680000
- Sum of all divisors σ(n): 1352384844421248
- Sum of proper divisors (its aliquot sum) s(n): 923439108741248
- 428945735680000 is an abundant number, because the sum of its proper divisors (923439108741248) is greater than itself. Its abundance is 494493373061248
Bases of 428945735680000
- Binary: 11000011000011111101101100011010000000000000000002
- Hexadecimal: 0x1861FB6340000
- Base-36: 481QY7Z18G
Squares and roots of 428945735680000
- 428945735680000 squared (4289457356800002) is 183994444158056425062400000000
- 428945735680000 cubed (4289457356800003) is 78923632210410191447341957906432000000000000
-
The
square root of 428945735680000 is 20711005.1827524779 -
The
cube root of 428945735680000 is 75416.6872282041
Scales and comparisons
How big is 428945735680000?- 428,945,735,680,000 seconds is equal to 13,639,147 years, 30 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 428,945,735,680,000 would take you about thirty-four million, ninety-seven thousand, eight hundred sixty-eight 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 428945735680000 cubic inches would be around 6284.7 feet tall.
Recreational maths with 428945735680000
- 428945735680000 backwards is 000086537549824
- The number of decimal digits it has is: 15
- The sum of 428945735680000's digits is 61
- 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 428945735680000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 428945735680000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/428945735680000/
Chicago style:
Numbermatics. 2024. "Number 428945735680000 - Facts about the integer". https://numbermatics.com/n/428945735680000/
The information we have on file for 428945735680000 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 428945735680000, math, Factors of 428945735680000, curriculum, school, college, exams, university, Prime factorization of 428945735680000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, nine hundred forty-five billion, seven hundred thirty-five million, six hundred eighty thousand.