428914605312000
428,914,605,312,000 is an even composite number composed of six prime numbers multiplied together.
428914605312000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428914605312000:
211 × 32 × 53 × 181 × 941 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 181 × 941 × 1093)See below for interesting mathematical facts about the number 428914605312000 from the Numbermatics database.
Names of 428914605312000
- Cardinal: 428914605312000 can be written as Four hundred twenty-eight trillion, nine hundred fourteen billion, six hundred five million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 4.28914605312 × 1014
Factors of 428914605312000
Divisors of 428914605312000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 181 192 200 225 240 250 256 288 300 320 360 362 375 384 400 450 480 500 512 543 576 600 640 720 724 750 768 800 900 905 941 960 1000 1024 1086 1093 1125 1152 1200 1280 1440 1448 1500 1536 1600 1629 1800 1810 1882 1920 2000 2048 2172 2186 2250 2304 2400 2560 2715 2823 2880 2896 3000 3072 3200 3258 3279 3600 3620 3764 3840 4000 4344 4372 4500 4525 4608 4705 4800 5120 5430 5465 5646 5760 5792 6000 6144 6400 6516 6558 7200 7240 7528 7680 8000 8145 8469 8688 8744 9000 9050 9216 9410 9600 9837 10240 10860 10930 11292 11520 11584 12000 12800 13032 13116 13575 14115 14400 14480 15056 15360 16000 16290 16395 16938 17376 17488 18000 18100 18432 18820 19200 19674 21720 21860 22584 22625 23040 23168 23525 24000 25600 26064 26232 27150 27325 28230 28800 28960 30112 30720 32000 32580 32790 33876 34752 34976 36000 36200 37640 38400 39348 40725 42345 43440 43720 45168 45250 46080 46336 47050 48000 49185 51200 52128 52464 54300 54650 56460 57600 57920 60224 64000 65160 65580 67752 67875 69504 69952 70575 72000 72400 75280 76800 78696 81450 81975 84690 86880 87440 90336 90500 92160 92672 94100 96000 98370 104256 104928 108600 109300 112920 115200 115840 117625 120448 128000 130320 131160 135504 135750 136625 139008 139904 141150 144000 144800 150560 153600 157392 162900 163950 169380 170321 173760 174880 180672 181000 185344 188200 192000 196740 197833 203625 208512 209856 211725 217200 218600 225840 230400 231680 235250 240896 245925 256000 260640 262320 271008 271500 273250 278016 279808 282300 288000 289600 301120 314784 325800 327900 338760 340642 347520 349760 352875 361344 362000 370688 376400 384000 393480 395666 407250 409875 417024 419712 423450 434400 437200 451680 460800 463360 470500 481792 491850 510963 521280 524640 542016 543000 546500 556032 559616 564600 576000 579200 593499 602240 629568 651600 655800 677520 681284 695040 699520 705750 722688 724000 752800 768000 786960 791332 814500 819750 834048 839424 846900 851605 868800 874400 903360 926720 941000 963584 983700 989165 1021926 1028513 1042560 1049280 1058625 1084032 1086000 1093000 1112064 1119232 1129200 1152000 1158400 1186998 1204480 1229625 1259136 1303200 1311600 1355040 1362568 1390080 1399040 1411500 1445376 1448000 1505600 1532889 1573920 1582664 1629000 1639500 1668096 1678848 1693800 1703210 1737600 1748800 1780497 1806720 1853440 1882000 1927168 1967400 1978330 2043852 2057026 2085120 2098560 2117250 2168064 2172000 2186000 2238464 2258400 2304000 2316800 2373996 2408960 2459250 2518272 2554815 2606400 2623200 2710080 2725136 2780160 2798080 2823000 2890752 2896000 2967495 3011200 3065778 3085539 3147840 3165328 3258000 3279000 3336192 3357696 3387600 3406420 3475200 3497600 3560994 3613440 3764000 3934800 3956660 4087704 4114052 4170240 4197120 4234500 4258025 4336128 4344000 4372000 4516800 4633600 4747992 4817920 4918500 4945825 5036544 5109630 5142565 5212800 5246400 5420160 5450272 5560320 5596160 5646000 5781504 5792000 5934990 6022400 6131556 6171078 6295680 6330656 6516000 6558000 6715392 6775200 6812840 6950400 6995200 7121988 7226880 7528000 7664445 7869600 7913320 8175408 8228104 8340480 8394240 8469000 8516050 8672256 8688000 8744000 8902485 9033600 9256617 9267200 9495984 9635840 9837000 9891650 10073088 10219260 10285130 10425600 10492800 10840320 10900544 11192320 11292000 11584000 11869980 12044800 12263112 12342156 12591360 12661312 12774075 13032000 13116000 13550400 13625680 13900800 13990400 14243976 14453760 14837475 15056000 15328890 15427695 15739200 15826640 16350816 16456208 16680960 16788480 16938000 17032100 17344512 17376000 17488000 17804970 18067200 18513234 18991968 19674000 19783300 20146176 20438520 20570260 20851200 20985600 21290125 21680640 21801088 22584000 23168000 23739960 24089600 24526224 24684312 24729125 25182720 25322624 25548150 25712825 26064000 26232000 27100800 27251360 27801600 27980800 28487952 28907520 29674950 30112000 30657780 30855390 31478400 31653280 32701632 32912416 33576960 33876000 34064200 34752000 34976000 35609940 36134400 37026468 37983936 38322225 39348000 39566600 40877040 41140520 41702400 41971200 42580250 43361280 43602176 44512425 45168000 46283085 46336000 47479920 48179200 49052448 49368624 49458250 50365440 50645248 51096300 51425650 52128000 52464000 54201600 54502720 55961600 56975904 59349900 60224000 61315560 61710780 62956800 63306560 63870375 65403264 65824832 67752000 68128400 69504000 69952000 71219880 72268800 74052936 74187375 75967872 76644450 77138475 78696000 79133200 81754080 82281040 83404800 83942400 85160500 86722560 87204352 89024850 90336000 92566170 94959840 98104896 98737248 98916500 100730880 101290496 102192600 102851300 104256000 104928000 108403200 109005440 113951808 118699800 120448000 122631120 123421560 125913600 126613120 127740750 128564125 130806528 131649664 135504000 136256800 139008000 139904000 142439760 144537600 148105872 148374750 151935744 153288900 154276950 157392000 158266400 163508160 164562080 167884800 170321000 174408704 178049700 180672000 185132340 186160853 189919680 191611125 196209792 197474496 197833000 202580992 204385200 205702600 208512000 209856000 216806400 218010880 222562125 227903616 231415425 237399600 240896000 245262240 246843120 251827200 253226240 255481500 257128250 261613056 263299328 271008000 272513600 279808000 284879520 296211744 296749500 303871488 306577800 308553900 314784000 316532800 327016320 329124160 340642000 348817408 356099400 361344000 370264680 372321706 379839360 383222250 385692375 392419584 394948992 395666000 405161984 408770400 411405200 417024000 419712000 433612800 436021760 445124250 455807232 462830850 474799200 490524480 493686240 503654400 506452480 510963000 514256500 523226112 526598656 542016000 545027200 558482559 569759040 592423488 593499000 607742976 613155600 617107800 629568000 633065600 654032640 658248320 681284000 712198800 722688000 740529360 744643412 759678720 766444500 771384750 784839168 789897984 791332000 817540800 822810400 839424000 872043520 890248500 911614464 925661700 930804265 949598400 981048960 987372480 1012904960 1021926000 1028513000 1046452224 1053197312 1084032000 1090054400 1116965118 1139518080 1157077125 1184846976 1186998000 1215485952 1226311200 1234215600 1259136000 1266131200 1308065280 1316496640 1362568000 1424397600 1481058720 1489286824 1519357440 1532889000 1542769500 1569678336 1579795968 1582664000 1635081600 1645620800 1675447677 1744087040 1780497000 1823228928 1851323400 1861608530 1899196800 1962097920 1974744960 2025809920 2043852000 2057026000 2106394624 2168064000 2180108800 2233930236 2279036160 2314154250 2369693952 2373996000 2452622400 2468431200 2518272000 2532262400 2616130560 2632993280 2725136000 2792412795 2848795200 2962117440 2978573648 3038714880 3065778000 3085539000 3139356672 3159591936 3165328000 3270163200 3291241600 3350895354 3560994000 3646457856 3702646800 3723217060 3798393600 3924195840 3949489920 4087704000 4114052000 4360217600 4467860472 4558072320 4628308500 4654021325 4739387904 4747992000 4905244800 4936862400 5064524800 5232261120 5265986560 5450272000 5584825590 5697590400 5924234880 5957147296 6077429760 6131556000 6171078000 6319183872 6330656000 6540326400 6582483200 6701790708 7121988000 7405293600 7446434120 7596787200 7848391680 7898979840 8175408000 8228104000 8377238385 8720435200 8935720944 9116144640 9256617000 9308042650 9478775808 9495984000 9810489600 9873724800 10129049600 10531973120 10900544000 11169651180 11395180800 11848469760 11914294592 12263112000 12342156000 12661312000 13080652800 13164966400 13403581416 13962063975 14243976000 14810587200 14892868240 15193574400 15696783360 15797959680 16350816000 16456208000 16754476770 17871441888 18232289280 18513234000 18616085300 18957551616 18991968000 19620979200 19747449600 21801088000 22339302360 22790361600 23270106625 23696939520 23828589184 24526224000 24684312000 25322624000 26161305600 26329932800 26807162832 27924127950 28487952000 29621174400 29785736480 30387148800 31595919360 32701632000 32912416000 33508953540 35742883776 37026468000 37232170600 37983936000 39241958400 39494899200 41886191925 43602176000 44678604720 45580723200 46540213250 47393879040 47657178368 49052448000 49368624000 50645248000 52659865600 53614325664 55848255900 56975904000 59242348800 59571472960 65403264000 65824832000 67017907080 69810319875 71485767552 74052936000 74464341200 75967872000 78483916800 78989798400 83772383850 89357209440 91161446400 93080426500 94787758080 95314356736 98104896000 98737248000 107228651328 111696511800 113951808000 118484697600 119142945920 130806528000 131649664000 134035814160 139620639750 142971535104 148105872000 148928682400 151935744000 157979596800 167544767700 178714418880 186160853000 190628713472 196209792000 197474496000 209430959625 214457302656 223393023600 227903616000 236969395200 238285891840 263299328000 268071628320 279241279500 285943070208 296211744000 297857364800 335089535400 357428837760 372321706000 381257426944 392419584000 394948992000 418861919250 428914605312 446786047200 455807232000 473938790400 476571783680 536143256640 558482559000 571886140416 592423488000 595714729600 670179070800 714857675520 744643412000 789897984000 837723838500 857829210624 893572094400 953143567360 1072286513280 1116965118000 1143772280832 1184846976000 1191429459200 1340358141600 1429715351040 1489286824000 1675447677000 1715658421248 1787144188800 1906287134720 2144573026560 2233930236000 2369693952000 2382858918400 2680716283200 2859430702080 2978573648000 3350895354000 3431316842496 3574288377600 4289146053120 4467860472000 4765717836800 5361432566400 5718861404160 5957147296000 6701790708000 7148576755200 8578292106240 8935720944000 9531435673600 10722865132800 11914294592000 13403581416000 14297153510400 17156584212480 17871441888000 21445730265600 23828589184000 26807162832000 28594307020800 35742883776000 42891460531200 47657178368000 53614325664000 71485767552000 85782921062400 107228651328000 142971535104000 214457302656000 428914605312000
- Sum of all divisors σ(n): 1557619837169760
- Sum of proper divisors (its aliquot sum) s(n): 1128705231857760
- 428914605312000 is an abundant number, because the sum of its proper divisors (1128705231857760) is greater than itself. Its abundance is 699790626545760
Bases of 428914605312000
- Binary: 11000011000011000011101101011000001001000000000002
- Hexadecimal: 0x1861876B04800
- Base-36: 481CNDR7K0
Squares and roots of 428914605312000
- 428914605312000 squared (4289146053120002) is 183967738649948738617344000000
- 428914605312000 cubed (4289146053120003) is 78906450013183930953090354357731328000000000
-
The
square root of 428914605312000 is 20710253.6274184725 -
The
cube root of 428914605312000 is 75414.8627503203
Scales and comparisons
How big is 428914605312000?- 428,914,605,312,000 seconds is equal to 13,638,157 years, 37 weeks, 6 days, 8 hours.
-
To count from 1 to 428,914,605,312,000 would take you about thirty-four million, ninety-five thousand, three hundred ninety-four 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 428914605312000 cubic inches would be around 6284.6 feet tall.
Recreational maths with 428914605312000
- 428914605312000 backwards is 000213506419824
- 428914605312000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428914605312000's digits is 45
- More coming soon!
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The information we have on file for 428914605312000 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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