542105315077920
542,105,315,077,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 542105315077920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
542105315077920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 542105315077920:
25 × 3 × 5 × 112 × 17 × 312 × 307 × 1861
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 31 × 31 × 307 × 1861)See below for interesting mathematical facts about the number 542105315077920 from the Numbermatics database.
Names of 542105315077920
- Cardinal: 542105315077920 can be written as Five hundred forty-two trillion, one hundred five billion, three hundred fifteen million, seventy-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 5.4210531507792 × 1014
Factors of 542105315077920
Divisors of 542105315077920
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 31 32 33 34 40 44 48 51 55 60 62 66 68 80 85 88 93 96 102 110 120 121 124 132 136 155 160 165 170 176 186 187 204 220 240 242 248 255 264 272 307 310 330 340 341 352 363 372 374 408 440 465 480 484 496 510 527 528 544 561 605 614 620 660 680 682 726 744 748 816 880 921 930 935 961 968 992 1020 1023 1054 1056 1122 1210 1228 1240 1320 1360 1364 1452 1488 1496 1535 1581 1632 1705 1760 1815 1842 1860 1861 1870 1922 1936 2040 2046 2057 2108 2244 2420 2456 2480 2635 2640 2720 2728 2805 2883 2904 2976 2992 3070 3162 3377 3410 3630 3684 3720 3722 3740 3751 3844 3872 4080 4092 4114 4216 4488 4605 4805 4840 4912 4960 5115 5219 5270 5280 5456 5583 5610 5766 5797 5808 5984 6140 6171 6324 6754 6820 7260 7368 7440 7444 7480 7502 7688 7905 8160 8184 8228 8432 8976 9210 9305 9517 9610 9680 9824 10131 10230 10285 10438 10540 10571 10912 11166 11220 11253 11532 11594 11616 12280 12342 12648 13508 13640 14415 14520 14736 14880 14888 14960 15004 15376 15657 15810 16337 16368 16456 16864 16885 17391 17952 18420 18610 18755 19034 19220 19360 20262 20460 20471 20570 20876 21080 21142 22332 22440 22506 23064 23188 24560 24684 25296 26095 27016 27280 27915 28551 28830 28985 29040 29472 29776 29920 30008 30752 30855 31314 31620 31637 31713 32674 32736 32912 33770 34782 36840 37147 37220 37510 38068 38440 40524 40920 40942 41140 41752 42160 42284 44664 44880 45012 46128 46376 47585 49011 49120 49368 50592 50655 52190 52855 54032 54560 55830 56265 57102 57409 57660 57691 57970 58080 59552 60016 61413 61710 62628 63240 63274 63426 63767 65348 65824 67540 69564 73680 74294 74440 75020 76136 76880 78285 81048 81685 81840 81884 82280 83504 84320 84568 86955 89328 89760 90024 92256 92752 94911 95170 98022 98736 101310 102355 104380 104687 105710 108064 111441 111660 112530 114204 114818 115320 115382 115940 116281 120032 122826 123420 125256 126480 126548 126852 127534 130696 135080 139128 142755 147360 148588 148880 150040 152272 153760 156570 158185 158565 161789 162096 163370 163680 163768 164560 167008 169136 172227 173073 173910 178656 179707 180048 185504 185735 189822 190340 191301 196044 197472 202620 204710 208760 209374 211420 222882 223320 225060 225181 228408 229636 230640 230764 231880 232562 245055 245652 246840 250512 252960 253096 253704 255068 261392 270160 278256 285510 287045 288455 295027 297176 297760 300080 304544 307065 313140 314061 316370 317130 318835 323578 324192 326740 327536 329120 338272 344454 346146 347820 348007 348843 359414 360096 371470 379644 380680 382602 392088 405240 409420 417520 418748 422840 445764 446640 450120 450362 456816 459272 461280 461528 463760 465124 474555 485367 490110 491304 493680 501024 506192 507408 510136 522784 523435 539121 540320 556512 557205 571020 571327 574090 576910 581405 590054 594352 600160 614130 626280 628122 631499 632740 634260 634601 637670 647156 653480 655072 675543 688908 692292 695640 696014 697686 718828 742940 759288 761360 765204 784176 808945 810480 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18803514224 18987261920 19419857248 19871895714 20066083620 20774298336 21430475770 21961809880 22072691982 23378700840 23504392780 24087146320 24157990868 24274821560 25641155760 25716570924 25967872920 26354171856 26481623520 26495860952 26754778160 28001307597 28205271336 28480892880 28904575584 29129785872 29430255976 30197488585 31171601120 32105733792 32145713655 32942714820 33119826190 33182672160 34288761232 34623830560 35256589170 36130719480 36236986302 36412232340 36431808809 36787819970 37335076796 37607028448 39743791428 40132167240 42860951540 43923619760 44145383964 46668845995 46757401680 47008785560 48174292640 48315981736 48549643120 49679739285 51282311520 51433141848 51935745840 52708343712 52991721904 53509556320 55181729955 56002615194 56410542672 56961785760 58259571744 58860511952 60394977170 64291427310 65885429640 66239652380 66434474887 68577522464 70513178340 72261438960 72473972604 72824464680 72863617618 73575639940 74670153592 79487582856 80264334480 85721903080 87847239520 88290767928 90592465755 93337691990 93514803360 94017571120 96631963472 97099286240 99359478570 102671461189 102866283696 103871491680 105983443808 109295426427 110363459910 112005230388 112821085344 117721023904 120789954340 128582854620 131770859280 132479304760 132868949774 140006537985 141026356680 144522877920 144947945208 145648929360 145727235236 147151279880 149340307184 158975165712 160528668960 171443806160 176581535856 181184931510 182159044045 186675383980 188035142240 193263926944 198718957140 199303424661 205342922378 205732567392 218590852854 220726919820 224010460776 241579908680 257165709240 263541718560 264958609520 265737899548 280013075970 282052713360 289895890416 291297858720 291454470472 294302559760 298680614368 308014383567 317950331424 332172374435 342887612320 353163071712 362369863020 364318088090 373350767960 397437914280 398606849322 410685844756 437181705708 441453839640 448020921552 483159817360 513357305945 514331418480 529917219040 531475799096 546477132135 560026151940 564105426720 579791780832 582908940944 588605119520 616028767134 664344748870 724739726040 728636176180 746701535920 794875828560 797213698644 821371689512 874363411416 882907679280 896041843104 966319634720 996517123305 1026714611890 1028662836960 1062951598192 1092954264270 1120052303880 1129386073079 1165817881888 1232057534268 1328689497740 1449479452080 1457272352360 1493403071840 1540071917835 1589751657120 1594427397288 1642743379024 1748726822832 1765815358560 1993034246610 2053429223780 2125903196384 2185908528540 2240104607760 2258772146158 2464115068536 2657378995480 2898958904160 2914544704720 3080143835670 3188854794576 3285486758048 3388158219237 3497453645664 3986068493220 4106858447560 4371817057080 4480209215520 4517544292316 4928230137072 5314757990960 5646930365395 5829089409440 6160287671340 6377709589152 6776316438474 7972136986440 8213716895120 8743634114160 9035088584632 9856460274144 10629515981920 11293860730790 12320575342680 13552632876948 15944273972880 16427433790240 16940791096185 17487268228320 18070177169264 22587721461580 24641150685360 27105265753896 31888547945760 33881582192370 36140354338528 45175442923160 49282301370720 54210531507792 67763164384740 90350885846320 108421063015584 135526328769480 180701771692640 271052657538960 542105315077920
- Sum of all divisors σ(n): 2061368232384384
- Sum of proper divisors (its aliquot sum) s(n): 1519262917306464
- 542105315077920 is an abundant number, because the sum of its proper divisors (1519262917306464) is greater than itself. Its abundance is 977157602228544
Bases of 542105315077920
- Binary: 11110110100001010101110101011110001101111001000002
- Hexadecimal: 0x1ED0ABABC6F20
- Base-36: 5C5RQRUPEO
Squares and roots of 542105315077920
- 542105315077920 squared (5421053150779202) is 293878172635730917295671526400
- 542105315077920 cubed (5421053150779203) is 159312919371216276387585114031281541337088000
-
The
square root of 542105315077920 is 23283155.1787535875 -
The
cube root of 542105315077920 is 81538.2191215647
Scales and comparisons
How big is 542105315077920?- 542,105,315,077,920 seconds is equal to 17,237,272 years, 9 weeks, 1 day, 15 hours, 52 minutes.
-
To count from 1 to 542,105,315,077,920 would take you about forty-three million, ninety-three thousand, one hundred eighty 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 542105315077920 cubic inches would be around 6794.9 feet tall.
Recreational maths with 542105315077920
- 542105315077920 backwards is 029770513501245
- 542105315077920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 542105315077920's digits is 51
- More coming soon!
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"Number 542105315077920 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 542105315077920 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/542105315077920/
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The information we have on file for 542105315077920 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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