42468145200
42,468,145,200 is an even composite number composed of six prime numbers multiplied together.
42468145200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 42468145200:
24 × 32 × 52 × 132 × 292 × 83
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 29 × 29 × 83)See below for interesting mathematical facts about the number 42468145200 from the Numbermatics database.
Names of 42468145200
- Cardinal: 42468145200 can be written as Forty-two billion, four hundred sixty-eight million, one hundred forty-five thousand, two hundred.
Scientific notation
- Scientific notation: 4.24681452 × 1010
Factors of 42468145200
Divisors of 42468145200
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 29 30 36 39 40 45 48 50 52 58 60 65 72 75 78 80 83 87 90 100 104 116 117 120 130 144 145 150 156 166 169 174 180 195 200 208 225 232 234 240 249 260 261 290 300 312 325 332 338 348 360 377 390 400 415 435 450 464 468 498 507 520 522 580 585 600 624 650 664 676 696 720 725 747 754 780 830 841 845 870 900 936 975 996 1014 1040 1044 1079 1131 1160 1170 1200 1245 1300 1305 1328 1352 1392 1450 1494 1508 1521 1560 1660 1682 1690 1740 1800 1872 1885 1950 1992 2028 2075 2088 2158 2175 2262 2320 2340 2407 2490 2523 2535 2600 2610 2704 2900 2925 2988 3016 3042 3120 3237 3320 3364 3380 3393 3480 3600 3735 3770 3900 3984 4056 4150 4176 4205 4225 4316 4350 4524 4680 4814 4901 4980 5046 5070 5200 5220 5395 5655 5800 5850 5976 6032 6084 6225 6474 6525 6640 6728 6760 6786 6960 7221 7470 7540 7569 7605 7800 8112 8300 8410 8450 8632 8700 9048 9360 9425 9628 9711 9802 9960 10092 10140 10440 10790 10933 11310 11600 11700 11952 12035 12168 12450 12615 12675 12948 13050 13456 13520 13572 14027 14442 14703 14940 15080 15138 15210 15600 16185 16600 16820 16900 16965 17264 17400 18096 18675 18850 19256 19422 19604 19920 20184 20280 20880 21025 21580 21663 21866 22620 23400 24070 24336 24505 24900 25230 25350 25896 26100 26975 27144 28054 28275 28884 29406 29880 30160 30276 30420 31291 32370 32799 33200 33640 33800 33930 34800 36105 37350 37700 37845 38025 38512 38844 39208 40368 40560 42050 42081 43160 43326 43732 44109 45240 46800 48140 48555 49010 49800 50460 50700 51792 52200 53950 54288 54665 56108 56550 57768 58812 59760 60175 60552 60840 62582 63075 64740 65598 67280 67600 67860 69803 70135 72210 73515 74700 75400 75690 76050 77688 78416 80925 84100 84162 84825 86320 86652 87464 88218 90480 93873 96280 97110 98020 98397 99600 100920 101400 104400 107900 108315 109330 112216 113100 115536 117624 120350 121104 121680 122525 125164 126150 126243 129480 131196 135720 139606 140270 142129 144420 147030 149400 150800 151380 152100 155376 156455 161850 163995 168200 168324 169650 173304 174928 176436 180525 187746 189225 192560 194220 196040 196794 201840 202800 209409 210405 215800 216630 218660 220545 224432 226200 235248 240700 242775 245050 250328 252300 252486 258960 262392 271440 273325 279212 280540 281619 284258 288840 294060 298800 302760 304200 312910 323700 327990 336400 336648 339300 346608 349015 350675 352872 361050 367575 375492 378450 388440 392080 393588 406783 418818 420810 426387 431600 433260 437320 441090 452400 469365 481400 485550 490100 491985 500656 504600 504972 524784 541575 546650 558424 561080 563238 568516 577680 588120 605520 608400 625820 628227 631215 647400 655980 673296 678600 698030 701350 705744 710645 722100 735150 750984 756900 776880 782275 787176 813566 819975 837636 841620 852774 866520 874640 882180 907439 938730 962800 971100 980200 983970 1009200 1009944 1047045 1052025 1083150 1093300 1102725 1116848 1122160 1126476 1137032 1176240 1220349 1251640 1256454 1262430 1279161 1294800 1311960 1357200 1396060 1402700 1408095 1421290 1444200 1470300 1501968 1513800 1564550 1574352 1627132 1639950 1675272 1683240 1705548 1733040 1745075 1764360 1814878 1877460 1942200 1960400 1967940 2019888 2033915 2094090 2104050 2131935 2166300 2186600 2205450 2252952 2274064 2346825 2440698 2459925 2503280 2512908 2524860 2558322 2623920 2722317 2792120 2805400 2816190 2842580 2888400 2940600 3027600 3129100 3141135 3156075 3254264 3279900 3350544 3366480 3411096 3490150 3528720 3553225 3629756 3661047 3754920 3884400 3935880 4067830 4188180 4208100 4263870 4332600 4373200 4410900 4505904 4537195 4693650 4881396 4919850 5025816 5049720 5116644 5235225 5444634 5584240 5610800 5632380 5685160 5881200 6101745 6258200 6282270 6312150 6395805 6508528 6559800 6822192 6980300 7040475 7106450 7259512 7322094 7509840 7871760 8135660 8166951 8376360 8416200 8527740 8665200 8821800 9074390 9387300 9762792 9839700 10051632 10099440 10169575 10233288 10470450 10659675 10889268 11264760 11370320 11796707 12203490 12516400 12564540 12624300 12791610 13119600 13611585 13960600 14080950 14212900 14519024 14644188 15705675 16271320 16333902 16752720 16832400 17055480 17643600 18148780 18305235 18774600 19525584 19679400 20339150 20466576 20940900 21319350 21778536 22529520 22685975 23593414 24406980 25129080 25248600 25583220 27223170 27921200 28161900 28425800 29288376 30508725 31411350 31979025 32542640 32667804 34110960 35390121 36297560 36610470 37549200 39358800 40678300 40834755 41881800 42638700 43557072 45371950 47186828 48813960 50258160 50497200 51166440 54446340 56323800 56851600 58576752 58983535 61017450 62822700 63958050 65335608 68057925 70780242 72595120 73220940 81356600 81669510 83763600 85277400 90743900 91526175 94373656 97627920 102332880 106170363 108892680 112647600 117967070 122034900 125645400 127916100 130671216 136115850 141560484 146441880 162713200 163339020 170554800 176950605 181487800 183052350 188747312 204173775 212340726 217785360 235934140 244069800 251290800 255832200 272231700 283120968 292883760 294917675 326678040 353901210 362975600 366104700 408347550 424681452 471868280 488139600 511664400 530851815 544463400 566241936 589835350 653356080 707802420 732209400 816695100 849362904 884753025 943736560 1061703630 1088926800 1179670700 1415604840 1464418800 1633390200 1698725808 1769506050 2123407260 2359341400 2654259075 2831209680 3266780400 3539012100 4246814520 4718682800 5308518150 7078024200 8493629040 10617036300 14156048400 21234072600 42468145200
- Sum of all divisors σ(n): 167268926916
- Sum of proper divisors (its aliquot sum) s(n): 124800781716
- 42468145200 is an abundant number, because the sum of its proper divisors (124800781716) is greater than itself. Its abundance is 82332636516
Bases of 42468145200
- Binary: 1001111000110100110001111000001100002
- Hexadecimal: 0x9E34C7830
- Base-36: JICFQK0
Squares and roots of 42468145200
- 42468145200 squared (424681452002) is 1803543356728283040000
- 42468145200 cubed (424681452003) is 76593141148032121089417408000000
-
The
square root of 42468145200 is 206078.0075602441 -
The
cube root of 42468145200 is 3488.8939169123
Scales and comparisons
How big is 42468145200?- 42,468,145,200 seconds is equal to 1,350 years, 18 weeks, 3 days, 11 hours.
-
To count from 1 to 42,468,145,200 would take you about two thousand, seven hundred 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 42468145200 cubic inches would be around 290.7 feet tall.
Recreational maths with 42468145200
- 42468145200 backwards is 00254186424
- 42468145200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42468145200's digits is 36
- More coming soon!
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The information we have on file for 42468145200 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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