42628937748480
42,628,937,748,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 42628937748480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1456 divisors.
42628937748480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-six divisors.
Prime factorization of 42628937748480:
212 × 36 × 5 × 17 × 53 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 53 × 3169)See below for interesting mathematical facts about the number 42628937748480 from the Numbermatics database.
Names of 42628937748480
- Cardinal: 42628937748480 can be written as Forty-two trillion, six hundred twenty-eight billion, nine hundred thirty-seven million, seven hundred forty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.262893774848 × 1013
Factors of 42628937748480
Divisors of 42628937748480
- Number of divisors d(n): 1456
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 53 54 60 64 68 72 80 81 85 90 96 102 106 108 120 128 135 136 144 153 159 160 162 170 180 192 204 212 216 240 243 255 256 265 270 272 288 306 318 320 324 340 360 384 405 408 424 432 459 477 480 486 510 512 530 540 544 576 612 636 640 648 680 720 729 765 768 795 810 816 848 864 901 918 954 960 972 1020 1024 1060 1080 1088 1152 1215 1224 1272 1280 1296 1360 1377 1431 1440 1458 1530 1536 1590 1620 1632 1696 1728 1802 1836 1908 1920 1944 2040 2048 2120 2160 2176 2295 2304 2385 2430 2448 2544 2560 2592 2703 2720 2754 2862 2880 2916 3060 3072 3169 3180 3240 3264 3392 3456 3604 3645 3672 3816 3840 3888 4080 4096 4131 4240 4293 4320 4352 4505 4590 4608 4770 4860 4896 5088 5120 5184 5406 5440 5508 5724 5760 5832 6120 6144 6338 6360 6480 6528 6784 6885 6912 7155 7208 7290 7344 7632 7680 7776 8109 8160 8262 8480 8586 8640 8704 9010 9180 9216 9507 9540 9720 9792 10176 10240 10368 10812 10880 11016 11448 11520 11664 12240 12288 12393 12676 12720 12879 12960 13056 13515 13568 13770 13824 14310 14416 14580 14688 15264 15360 15552 15845 16218 16320 16524 16960 17172 17280 17408 18020 18360 18432 19014 19080 19440 19584 20352 20480 20655 20736 21465 21624 21760 22032 22896 23040 23328 24327 24480 24786 25352 25440 25758 25920 26112 27030 27136 27540 27648 28521 28620 28832 29160 29376 30528 30720 31104 31690 32436 32640 33048 33920 34344 34560 34816 36040 36720 36864 38028 38160 38637 38880 39168 40545 40704 41310 41472 42930 43248 43520 44064 45792 46080 46656 47535 48654 48960 49572 50704 50880 51516 51840 52224 53873 54060 54272 55080 55296 57042 57240 57664 58320 58752 61056 61440 61965 62208 63380 64395 64872 65280 66096 67840 68688 69120 69632 72080 72981 73440 76056 76320 77274 77760 78336 81090 81408 82620 82944 85563 85860 86496 87040 88128 91584 92160 93312 95070 97308 97920 99144 101408 101760 103032 103680 104448 107746 108120 108544 110160 110592 114084 114480 115328 116640 117504 121635 122112 123930 124416 126760 128790 129744 130560 132192 135680 137376 138240 142605 144160 145962 146880 152112 152640 154548 155520 156672 161619 162180 162816 165240 165888 167957 171126 171720 172992 174080 176256 183168 184320 186624 190140 193185 194616 195840 198288 202816 203520 206064 207360 208896 215492 216240 217088 218943 220320 228168 228960 230656 233280 235008 243270 244224 247860 248832 253520 256689 257580 259488 261120 264384 269365 271360 274752 276480 285210 288320 291924 293760 304224 305280 309096 311040 313344 323238 324360 325632 330480 331776 335914 342252 343440 345984 348160 352512 364905 366336 373248 380280 386370 389232 391680 396576 405632 407040 412128 414720 427815 430984 432480 437886 440640 456336 457920 461312 466560 470016 484857 486540 488448 495720 497664 503871 507040 513378 515160 518976 522240 528768 538730 542720 549504 552960 570420 576640 583848 587520 608448 610560 618192 622080 626688 646476 648720 651264 656829 660960 671828 684504 686880 691968 705024 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2081491101 2094582240 2176722720 2192846592 2234221056 2241976320 2312767890 2321837568 2365645824 2448813060 2466952416 2482467840 2513498688 2579819520 2612067264 2628495360 2690371584 2741058240 2775321468 2792776320 2902296960 2923795456 2957057280 2978961408 3083690520 3095783424 3141873360 3154194432 3265084080 3289269888 3309957120 3351331584 3362964480 3439759360 3469151835 3482756352 3654744320 3700428624 3723701760 3869729280 3918100896 3942743040 4111587360 4162982202 4189164480 4353445440 4385693184 4468442112 4483952640 4625535780 4643675136 4731291648 4897626120 4933904832 4964935680 5026997376 5159639040 5224134528 5256990720 5482116480 5550642936 5585552640 5804593920 5847590912 5914114560 5957922816 6167381040 6191566848 6283746720 6530168160 6578539776 6702663168 6725928960 6938303670 6965512704 7309488640 7400857248 7447403520 7739458560 7836201792 7885486080 8223174720 8325964404 8378328960 8706890880 8771386368 8936884224 9251071560 9287350272 9462583296 9795252240 9867809664 9929871360 10053994752 10319278080 10407455505 10448269056 10964232960 11101285872 11171105280 11609187840 11695181824 11828229120 12334762080 12567493440 13060336320 13157079552 13405326336 13451857920 13876607340 13931025408 14618977280 14801714496 14894807040 15478917120 15672403584 15770972160 16446349440 16651928808 16756657920 17413781760 17542772736 17873768448 18502143120 18574700544 19590504480 19735619328 20107989504 20814911010 20896538112 21928465920 22202571744 22342210560 23218375680 23656458240 24669524160 25134986880 26120672640 26314159104 26810652672 27753214680 27862050816 29237954560 29603428992 29789614080 30957834240 31344807168 32892698880 33303857616 33513315840 34827563520 35085545472 37004286240 39181008960 39471238656 40215979008 41629822020 41793076224 43856931840 44405143488 44684421120 46436751360 47312916480 49339048320 50269973760 52241345280 52628318208 53621305344 55506429360 55724101632 58475909120 59206857984 62689614336 65785397760 66607715232 67026631680 69655127040 74008572480 78362017920 78942477312 80431958016 83259644040 83586152448 87713863680 88810286976 89368842240 92873502720 98678096640 100539947520 104482690560 105256636416 111012858720 118413715968 125379228672 131570795520 133215430464 134053263360 139310254080 148017144960 156724035840 157884954624 160863916032 166519288080 167172304896 175427727360 177620573952 197356193280 201079895040 208965381120 222025717440 236827431936 250758457344 263141591040 266430860928 268106526720 278620508160 296034289920 313448071680 315769909248 333038576160 355241147904 394712386560 402159790080 417930762240 444051434880 473654863872 501516914688 526283182080 532861721856 592068579840 626896143360 666077152320 710482295808 789424773120 804319580160 835861524480 888102869760 947309727744 1065723443712 1184137159680 1253792286720 1332154304640 1420964591616 1578849546240 1776205739520 2131446887424 2368274319360 2507584573440 2664308609280 2841929183232 3552411479040 4262893774848 4736548638720 5328617218560 7104822958080 8525787549696 10657234437120 14209645916160 21314468874240 42628937748480
- Sum of all divisors σ(n): 165513668796720
- Sum of proper divisors (its aliquot sum) s(n): 122884731048240
- 42628937748480 is an abundant number, because the sum of its proper divisors (122884731048240) is greater than itself. Its abundance is 80255793299760
Bases of 42628937748480
- Binary: 10011011000101010100101011000100010000000000002
- Hexadecimal: 0x26C552B11000
- Base-36: F3ZGOW000
Squares and roots of 42628937748480
- 42628937748480 squared (426289377484802) is 1817226333563783091742310400
- 42628937748480 cubed (426289377484803) is 77466428248389061045368538783329288192000
-
The
square root of 42628937748480 is 6529083.9900004349 -
The
cube root of 42628937748480 is 34932.9157876917
Scales and comparisons
How big is 42628937748480?- 42,628,937,748,480 seconds is equal to 1,355,468 years, 18 weeks, 5 days, 4 hours, 48 minutes.
-
To count from 1 to 42,628,937,748,480 would take you about three million, three hundred eighty-eight thousand, six hundred seventy 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 42628937748480 cubic inches would be around 2911.1 feet tall.
Recreational maths with 42628937748480
- 42628937748480 backwards is 08484773982624
- 42628937748480 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42628937748480's digits is 72
- More coming soon!
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"Number 42628937748480 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 42628937748480 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42628937748480/
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The information we have on file for 42628937748480 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 42628937748480, math, Factors of 42628937748480, curriculum, school, college, exams, university, Prime factorization of 42628937748480, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, six hundred twenty-eight billion, nine hundred thirty-seven million, seven hundred forty-eight thousand, four hundred eighty.