428944688640
428,944,688,640 is an even composite number composed of seven prime numbers multiplied together.
428944688640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 428944688640:
29 × 35 × 5 × 13 × 29 × 31 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 29 × 31 × 59)See below for interesting mathematical facts about the number 428944688640 from the Numbermatics database.
Names of 428944688640
- Cardinal: 428944688640 can be written as Four hundred twenty-eight billion, nine hundred forty-four million, six hundred eighty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.2894468864 × 1011
Factors of 428944688640
Divisors of 428944688640
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 29 30 31 32 36 39 40 45 48 52 54 58 59 60 62 64 65 72 78 80 81 87 90 93 96 104 108 116 117 118 120 124 128 130 135 144 145 155 156 160 162 174 177 180 186 192 195 208 216 232 234 236 240 243 248 256 260 261 270 279 288 290 295 310 312 320 324 348 351 354 360 372 377 384 390 403 405 416 432 435 464 465 468 472 480 486 496 512 520 522 531 540 558 576 580 585 590 620 624 640 648 696 702 708 720 744 754 767 768 780 783 806 810 832 837 864 870 885 899 928 930 936 944 960 972 992 1040 1044 1053 1062 1080 1116 1131 1152 1160 1170 1180 1209 1215 1240 1248 1280 1296 1305 1392 1395 1404 1416 1440 1488 1508 1534 1536 1560 1566 1593 1612 1620 1664 1674 1711 1728 1740 1755 1770 1798 1829 1856 1860 1872 1885 1888 1920 1944 1984 2015 2080 2088 2106 2124 2160 2232 2262 2301 2304 2320 2340 2349 2360 2418 2430 2480 2496 2511 2560 2592 2610 2655 2697 2784 2790 2808 2832 2880 2976 3016 3068 3120 3132 3159 3186 3224 3240 3328 3348 3393 3422 3456 3480 3510 3540 3596 3627 3658 3712 3720 3744 3770 3776 3835 3840 3888 3915 3968 4030 4160 4176 4185 4212 4248 4320 4464 4495 4524 4602 4608 4640 4680 4698 4720 4779 4836 4860 4960 4992 5022 5133 5184 5220 5265 5310 5394 5487 5568 5580 5616 5655 5664 5760 5952 6032 6045 6136 6240 6264 6318 6372 6448 6480 6656 6696 6786 6844 6903 6912 6960 7020 7047 7080 7192 7254 7316 7424 7440 7488 7533 7540 7552 7670 7680 7776 7830 7936 7965 8060 8091 8320 8352 8370 8424 8496 8555 8640 8928 8990 9048 9145 9204 9280 9360 9396 9440 9558 9672 9720 9920 9984 10044 10179 10266 10368 10440 10530 10620 10788 10881 10974 11136 11160 11232 11310 11328 11505 11520 11687 11745 11904 12064 12090 12272 12480 12528 12555 12636 12744 12896 12960 13392 13485 13572 13688 13806 13824 13920 14040 14094 14160 14337 14384 14508 14632 14848 14880 14976 15066 15080 15104 15340 15399 15552 15660 15795 15872 15930 16120 16182 16461 16640 16704 16740 16848 16965 16992 17110 17280 17856 17980 18096 18135 18290 18408 18560 18720 18792 18880 19116 19344 19440 19840 19968 20088 20358 20532 20709 20736 20880 21060 21240 21576 21762 21948 22243 22272 22320 22464 22620 22656 23010 23040 23374 23490 23777 23808 23895 24128 24180 24273 24544 24960 25056 25110 25272 25488 25665 25792 25920 26784 26970 27144 27376 27435 27612 27840 28080 28188 28320 28674 28768 29016 29264 29760 29952 30132 30160 30208 30537 30680 30798 31104 31320 31590 31860 32240 32364 32643 32922 33280 33408 33480 33696 33930 33984 34220 34515 34560 35061 35235 35712 35960 36192 36270 36580 36816 37120 37440 37584 37665 37760 38232 38688 38880 39680 40176 40455 40716 41064 41418 41472 41760 42120 42480 43152 43524 43896 44486 44544 44640 44928 45240 45312 46020 46197 46748 46980 47554 47616 47790 48256 48360 48546 49088 49383 49920 50112 50220 50544 50895 50976 51330 51584 51840 53041 53568 53940 54288 54405 54752 54870 55224 55680 56160 56376 56640 57348 57536 58032 58435 58528 59520 59904 60264 60320 61074 61360 61596 62127 62208 62640 63180 63720 64480 64728 65286 65844 66729 66816 66960 67392 67860 67968 68440 69030 69120 70122 70470 71331 71424 71685 71920 72384 72540 72819 73160 73632 74240 74880 75168 75330 75520 76464 76995 77376 77760 79360 80352 80910 81432 82128 82305 82836 83520 84240 84960 86304 87048 87792 88972 89280 89856 90480 90624 91611 92040 92394 93496 93960 95108 95580 96512 96720 97092 97929 98176 98766 99840 100224 100440 101088 101790 101952 102660 103168 103545 103680 105183 106082 107136 107880 108576 108810 109504 109740 110448 111215 111360 112320 112752 113280 114696 115072 116064 116870 117056 118885 119040 120528 120640 121365 122148 122720 123192 124254 124416 125280 126360 127440 128960 129456 130572 131688 133458 133632 133920 134784 135720 135936 136880 138060 138591 140244 140940 142662 142848 143370 143840 144768 145080 145638 146320 147264 148149 149760 150336 150660 151040 152685 152928 153990 154752 155520 159123 160704 161820 162864 163215 164256 164610 165672 167040 168480 169920 172608 174096 175305 175584 177944 178560 179712 180960 183222 184080 184788 186381 186992 187920 190216 191160 193024 193440 194184 195858 196352 197532 200187 200448 200880 202176 203580 203904 205320 206336 207090 207360 210366 212164 213993 214272 215760 217152 217620 218457 219008 219480 220896 222430 222720 224640 225504 226560 229392 230144 230985 232128 233740 234112 237770 238080 241056 241280 242730 244296 245440 246384 246915 248508 250560 252720 254880 257920 258912 261144 263376 265205 266916 267840 269568 271440 271872 273760 276120 277182 280488 281880 285324 286740 287680 289536 290160 291276 292640 294528 296298 299520 300672 301320 305370 305856 307980 309504 310635 311040 315549 318246 321408 323640 325728 326430 328512 329220 331344 333645 334080 336960 339840 345216 348192 350610 351168 355888 356655 357120 361920 364095 366444 368160 369576 372762 373984 375840 380432 382320 386880 388368 391716 392704 395064 400374 400896 401760 404352 407160 407808 410640 414180 415773 420732 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25459680 25623936 25679160 25777926 26058240 26507520 26609472 26926848 27025245 27156992 27391104 27581320 27855360 27962496 28399410 28444608 28471040 28642140 28826928 28889055 29315520 29566080 29820960 29918720 30292704 30434560 30551616 30814992 31028985 31069440 31337280 31605120 31809024 32029920 33097584 33261840 33658560 33946240 34165248 34238880 34370568 34953120 35479296 35555760 36033660 36521472 36702720 37234782 37283328 37865880 37926144 38189520 38435904 38518740 39087360 39421440 39761280 40390272 40735488 41086656 41371980 41783040 42140160 42706560 42963210 43240392 44130112 44349120 44878080 45439056 45651840 45827424 46222488 46604160 46904832 47407680 47713536 48044880 49646376 50139648 50487840 50919360 51247872 51358320 51555852 53015040 53218944 53853696 54050490 54782208 55162640 55852173 55924992 56798820 56889216 56942080 57284280 57653856 57778110 58631040 59132160 59641920 60585408 60869120 61103232 61629984 62057970 62138880 62674560 63210240 64059840 64444815 66195168 66523680 67317120 67892480 68477760 68741136 69906240 70958592 71111520 72067320 74469564 75731760 75852288 76379040 76871808 77037480 78174720 79522560 80780544 81470976 82173312 82743960 83566080 85413120 85926420 86480784 88260224 88698240 89756160 90878112 91303680 91654848 92444976 93086955 93208320 94815360 95427072 96089760 99292752 100975680 101838720 102495744 102716640 103111704 106437888 108100980 109564416 110325280 111704346 111849984 113597640 113778432 114568560 115307712 115556220 117262080 118264320 119283840 121170816 122206464 123259968 124115940 125349120 126420480 128119680 128889630 132390336 133047360 134634240 135784960 136955520 137482272 139812480 142223040 144134640 148939128 151463520 152758080 153743616 154074960 159045120 161561088 164346624 165487920 167556519 170826240 171852840 172961568 176520448 177396480 181756224 182607360 183309696 184889952 186173910 186416640 189630720 192179520 198585504 201951360 203677440 205433280 206223408 212875776 216201960 220650560 223408692 227195280 227556864 229137120 230615424 231112440 234524160 238567680 242341632 244412928 246519936 248231880 250698240 256239360 257779260 264780672 266094720 269268480 273911040 274964544 279260865 279624960 284446080 288269280 297878256 302927040 305516160 307487232 308149920 328693248 330975840 335113038 343705680 345923136 353040896 354792960 363512448 366619392 369779904 372347820 379261440 384359040 397171008 403902720 407354880 410866560 412446816 432403920 441301120 446817384 454390560 458274240 461230848 462224880 477135360 484683264 493039872 496463760 512478720 515558520 529561344 532189440 547822080 549929088 558521730 559249920 568892160 576538560 595756512 605854080 611032320 616299840 661951680 670226076 687411360 691846272 727024896 733238784 739559808 744695640 768718080 794342016 807805440 821733120 824893632 837782595 864807840 882602240 893634768 908781120 916548480 922461696 924449760 986079744 992927520 1031117040 1059122688 1064378880 1099858176 1117043460 1137784320 1153077120 1191513024 1211708160 1222064640 1232599680 1323903360 1340452152 1374822720 1383692544 1454049792 1479119616 1489391280 1537436160 1588684032 1643466240 1649787264 1675565190 1729615680 1765204480 1787269536 1817562240 1833096960 1848899520 1985855040 2062234080 2199716352 2234086920 2306154240 2383026048 2423416320 2465199360 2647806720 2680904304 2749645440 2767385088 2958239232 2978782560 3177368064 3299574528 3351130380 3459231360 3574539072 3635124480 3666193920 3697799040 3971710080 4124468160 4468173840 4612308480 4766052096 4930398720 5295613440 5361808608 5499290880 5957565120 6599149056 6702260760 6918462720 7149078144 7270248960 7395598080 7943420160 8248936320 8936347680 9532104192 10723617216 10998581760 11915130240 13404521520 13836925440 14298156288 14791196160 15886840320 16497872640 17872695360 21447234432 23830260480 26809043040 28596312576 32995745280 35745390720 42894468864 47660520960 53618086080 71490781440 85788937728 107236172160 142981562880 214472344320 428944688640
- Sum of all divisors σ(n): 1801684684800
- Sum of proper divisors (its aliquot sum) s(n): 1372739996160
- 428944688640 is an abundant number, because the sum of its proper divisors (1372739996160) is greater than itself. Its abundance is 943795307520
Bases of 428944688640
- Binary: 1100011110111110001100010000110000000002
- Hexadecimal: 0x63DF188600
- Base-36: 5H1YLC00
Squares and roots of 428944688640
- 428944688640 squared (4289446886402) is 183993545912466545049600
- 428944688640 cubed (4289446886403) is 78923054263192506860717205356544000
-
The
square root of 428944688640 is 654938.6907489891 -
The
cube root of 428944688640 is 7541.6625865079
Scales and comparisons
How big is 428944688640?- 428,944,688,640 seconds is equal to 13,639 years, 5 weeks, 6 days, 14 hours, 24 minutes.
-
To count from 1 to 428,944,688,640 would take you about twenty-seven thousand, two hundred seventy-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 428944688640 cubic inches would be around 628.5 feet tall.
Recreational maths with 428944688640
- 428944688640 backwards is 046886449824
- The number of decimal digits it has is: 12
- The sum of 428944688640's digits is 63
- More coming soon!
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Cite this page
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"Number 428944688640 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 428944688640 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/428944688640/
Chicago style:
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The information we have on file for 428944688640 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 428944688640, math, Factors of 428944688640, curriculum, school, college, exams, university, Prime factorization of 428944688640, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight billion, nine hundred forty-four million, six hundred eighty-eight thousand, six hundred forty.