105042057120
105,042,057,120 is an even composite number composed of seven prime numbers multiplied together.
105042057120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 105042057120:
25 × 35 × 5 × 7 × 11 × 13 × 2699
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 2699)See below for interesting mathematical facts about the number 105042057120 from the Numbermatics database.
Names of 105042057120
- Cardinal: 105042057120 can be written as One hundred five billion, forty-two million, fifty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0504205712 × 1011
Factors of 105042057120
Divisors of 105042057120
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 32 33 35 36 39 40 42 44 45 48 52 54 55 56 60 63 65 66 70 72 77 78 80 81 84 88 90 91 96 99 104 105 108 110 112 117 120 126 130 132 135 140 143 144 154 156 160 162 165 168 176 180 182 189 195 198 208 210 216 220 224 231 234 240 243 252 260 264 270 273 280 286 288 297 308 312 315 324 330 336 351 352 360 364 378 385 390 396 405 416 420 429 432 440 455 462 468 480 486 495 504 520 528 540 546 560 567 572 585 594 616 624 630 648 660 672 693 702 715 720 728 756 770 780 792 810 819 840 858 864 880 891 910 924 936 945 972 990 1001 1008 1040 1053 1056 1080 1092 1120 1134 1144 1155 1170 1188 1215 1232 1248 1260 1287 1296 1320 1365 1386 1404 1430 1440 1456 1485 1512 1540 1560 1584 1620 1638 1680 1701 1716 1755 1760 1782 1820 1848 1872 1890 1944 1980 2002 2016 2079 2080 2106 2145 2160 2184 2268 2288 2310 2340 2376 2430 2457 2464 2520 2574 2592 2640 2673 2699 2730 2772 2808 2835 2860 2912 2970 3003 3024 3080 3120 3159 3168 3240 3276 3360 3402 3432 3465 3510 3564 3640 3696 3744 3780 3861 3888 3960 4004 4095 4158 4212 4290 4320 4368 4455 4536 4576 4620 4680 4752 4860 4914 5005 5040 5148 5265 5280 5346 5398 5460 5544 5616 5670 5720 5940 6006 6048 6160 6237 6240 6318 6435 6480 6552 6804 6864 6930 7020 7128 7280 7371 7392 7560 7722 7776 7920 8008 8097 8190 8316 8424 8505 8580 8736 8910 9009 9072 9240 9360 9504 9720 9828 10010 10080 10296 10395 10530 10692 10796 10920 11088 11232 11340 11440 11583 11880 12012 12285 12320 12474 12636 12870 12960 13104 13365 13495 13608 13728 13860 14040 14256 14560 14742 15015 15120 15444 15795 15840 16016 16194 16380 16632 16848 17010 17160 17820 18018 18144 18480 18711 18720 18893 19305 19440 19656 20020 20592 20790 21060 21384 21592 21840 22113 22176 22680 22880 23166 23760 24024 24291 24570 24948 25272 25740 26208 26730 26990 27027 27216 27720 28080 28512 29484 29689 30030 30240 30888 31185 31590 32032 32388 32760 33264 33696 34020 34320 34749 35087 35640 36036 36855 36960 37422 37786 38610 38880 39312 40040 40485 41184 41580 42120 42768 43184 43680 44226 45045 45360 46332 47520 48048 48582 49140 49896 50544 51480 53460 53980 54054 54432 55440 56160 56679 57915 58968 59378 60060 61776 62370 63180 64776 65520 66528 68040 68640 69498 70174 71280 72072 72873 73710 74844 75572 77220 78624 80080 80970 81081 83160 84240 85536 86368 88452 89067 90090 90720 92664 93555 94465 96096 97164 98280 99792 101088 102960 105261 106920 107960 108108 110565 110880 113358 115830 117936 118756 120120 121455 123552 124740 126360 129552 131040 135135 136080 138996 140348 142560 144144 145746 147420 148445 149688 151144 154440 160160 161940 162162 166320 168480 170037 173745 175435 176904 178134 180180 185328 187110 188930 194328 196560 199584 205920 207823 210522 213840 215920 216216 218619 221130 226716 231660 235872 237512 240240 242910 243243 245609 249480 252720 259104 267201 270270 272160 277992 280696 283395 288288 291492 294840 296890 299376 302288 308880 315783 323880 324324 332640 340074 347490 350870 353808 356268 360360 364365 370656 374220 377860 385957 388656 393120 405405 415646 421044 427680 431840 432432 437238 442260 445335 453432 463320 475024 480480 485820 486486 491218 498960 505440 510111 526305 534402 540540 555984 561392 566790 582984 589680 593780 598752 604576 617760 623469 631566 647760 648648 655857 680148 694980 701740 707616 712536 720720 728730 736827 748440 755720 771914 777312 801603 810810 831292 842088 850185 864864 874476 884520 890670 906864 926640 947349 950048 971640 972972 982436 997920 1020222 1039115 1052610 1068804 1081080 1093095 1111968 1122784 1133580 1157871 1165968 1179360 1187560 1216215 1228045 1246938 1263132 1295520 1297296 1311714 1336005 1360296 1389960 1403480 1425072 1441440 1457460 1473654 1496880 1511440 1530333 1543828 1578915 1603206 1621620 1662584 1684176 1700370 1748952 1769040 1781340 1813728 1853280 1870407 1894698 1929785 1943280 1945944 1964872 2040444 2078230 2105220 2137608 2162160 2186190 2210481 2267160 2315742 2331936 2375120 2404809 2432430 2456090 2493876 2526264 2550555 2594592 2623428 2672010 2701699 2720592 2779920 2806960 2842047 2850144 2914920 2947308 2993760 3022880 3060666 3087656 3117345 3157830 3206412 3243240 3279285 3325168 3368352 3400740 3473613 3497904 3538080 3562680 3684135 3740814 3789396 3859570 3886560 3891888 3929744 4008015 4080888 4156460 4210440 4275216 4324320 4372380 4420962 4534320 4590999 4631484 4736745 4750240 4809618 4864860 4912180 4987752 5052528 5101110 5246856 5344020 5403398 5441184 5559840 5611221 5613920 5684094 5789355 5829840 5894616 6121332 6175312 6234690 6315660 6412824 6486480 6558570 6631443 6650336 6801480 6947226 6995808 7125360 7214427 7368270 7481628 7578792 7651665 7719140 7783776 7859488 8016030 8105097 8161776 8312920 8420880 8526141 8550432 8744760 8841924 9068640 9181998 9262968 9352035 9473490 9619236 9729720 9824360 9975504 10105056 10202220 10420839 10493712 10688040 10806796 11052405 11222442 11368188 11578710 11659680 11789232 12024045 12242664 12350624 12469380 12631320 12825648 12972960 13117140 13262886 13508495 13602960 13894452 14210235 14250720 14428854 14736540 14963256 15157584 15303330 15438280 16032060 16210194 16323552 16625840 16833663 16841760 17052282 17368065 17489520 17683848 18363996 18525936 18704070 18946980 19238472 19459440 19648720 19894329 19951008 20404440 20841678 20987424 21376080 21613592 22104810 22444884 22736376 22954995 23157420 23578464 24048090 24315291 24485328 24938760 25262640 25651296 26234280 26525772 27016990 27205920 27788904 28056105 28420470 28857708 29473080 29926512 30315168 30606660 30876560 31262517 32064120 32420388 33157215 33251680 33667326 34104564 34736130 34979040 35367696 36072135 36727992 37051872 37408140 37893960 38476944 38918880 39297440 39788658 40525485 40808880 41683356 42630705 42752160 43227184 44209620 44889768 45472752 45909990 46314840 48096180 48630582 48970656 49877520 50500989 50525280 52104195 52468560 53051544 54033980 55577808 56112210 56840940 57715416 58946160 59682987 59853024 61213320 61753120 62525034 64128240 64840776 66314430 67334652 68209128 69472260 70735392 72144270 72945873 73455984 74816280 75787920 76953888 79577316 81050970 81617760 83366712 84168315 85261410 86454368 88419240 89779536 90945504 91819980 92629680 93787551 96192360 97261164 99471645 99755040 101001978 104208390 104937120 106103088 108067960 111155616 112224420 113681880 115430832 117892320 119365974 121576455 122426640 125050068 128256480 129681552 132628860 134669304 136418256 138944520 144288540 145891746 146911968 149632560 151575840 156312585 159154632 162101940 166733424 168336630 170522820 176838480 179559072 183639960 185259360 187575102 192384720 194522328 198943290 202003956 208416780 212206176 216135920 218837619 224448840 227363760 230861664 238731948 243152910 244853280 250100136 252504945 259363104 265257720 269338608 272836512 277889040 288577080 291783492 298414935 299265120 312625170 318309264 324203880 333466848 336673260 341045640 353676960 364729365 367279920 375150204 384769440 389044656 397886580 404007912 416833560 432271840 437675238 448897680 454727520 468937755 477463896 486305820 500200272 505009890 530515440 538677216 555778080 577154160 583566984 596829870 625250340 636618528 648407760 656512857 673346520 682091280 729458730 734559840 750300408 778089312 795773160 808015824 833667120 875350476 897795360 937875510 954927792 972611640 1000400544 1010019780 1061030880 1094188095 1154308320 1167133968 1193659740 1250500680 1296815520 1313025714 1346693040 1364182560 1458917460 1500600816 1591546320 1616031648 1667334240 1750700952 1875751020 1909855584 1945223280 2020039560 2188376190 2334267936 2387319480 2501001360 2626051428 2693386080 2917834920 3001201632 3183092640 3282564285 3501401904 3751502040 3890446560 4040079120 4376752380 4774638960 5002002720 5252102856 5835669840 6565128570 7002803808 7503004080 8080158240 8753504760 9549277920 10504205712 11671339680 13130257140 15006008160 17507009520 21008411424 26260514280 35014019040 52521028560 105042057120
- Sum of all divisors σ(n): 499293849600
- Sum of proper divisors (its aliquot sum) s(n): 394251792480
- 105042057120 is an abundant number, because the sum of its proper divisors (394251792480) is greater than itself. Its abundance is 289209735360
Bases of 105042057120
- Binary: 11000011101001111111010010111101000002
- Hexadecimal: 0x1874FE97A0
- Base-36: 1C97BU00
Squares and roots of 105042057120
- 105042057120 squared (1050420571202) is 11033833764001342694400
- 105042057120 cubed (1050420571203) is 1159016596490813639061859504128000
-
The
square root of 105042057120 is 324101.9239683715 -
The
cube root of 105042057120 is 4718.3237775761
Scales and comparisons
How big is 105042057120?- 105,042,057,120 seconds is equal to 3,340 years, 4 days, 13 hours, 12 minutes.
-
To count from 1 to 105,042,057,120 would take you about six thousand, six 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 105042057120 cubic inches would be around 393.2 feet tall.
Recreational maths with 105042057120
- 105042057120 backwards is 021750240501
- 105042057120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 105042057120's digits is 27
- More coming soon!
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"Number 105042057120 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 105042057120 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/105042057120/
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The information we have on file for 105042057120 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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