42042042418320
42,042,042,418,320 is an even composite number composed of five prime numbers multiplied together.
42042042418320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 42042042418320:
24 × 313 × 5 × 73 × 312
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 31 × 31)See below for interesting mathematical facts about the number 42042042418320 from the Numbermatics database.
Names of 42042042418320
- Cardinal: 42042042418320 can be written as Forty-two trillion, forty-two billion, forty-two million, four hundred eighteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.204204241832 × 1013
Factors of 42042042418320
Divisors of 42042042418320
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 35 36 40 42 45 48 49 54 56 60 62 63 70 72 80 81 84 90 93 98 105 108 112 120 124 126 135 140 144 147 155 162 168 180 186 189 196 210 216 217 240 243 245 248 252 270 279 280 294 310 315 324 336 343 360 372 378 392 405 420 432 434 441 465 486 490 496 504 540 558 560 567 588 620 630 648 651 686 720 729 735 744 756 784 810 837 840 868 882 930 945 961 972 980 1008 1029 1080 1085 1116 1134 1176 1215 1240 1260 1296 1302 1323 1372 1395 1458 1470 1488 1512 1519 1620 1674 1680 1701 1715 1736 1764 1860 1890 1922 1944 1953 1960 2058 2160 2170 2187 2205 2232 2268 2352 2430 2480 2511 2520 2604 2646 2744 2790 2835 2883 2916 2940 3024 3038 3087 3240 3255 3348 3402 3430 3472 3528 3645 3720 3780 3844 3888 3906 3920 3969 4116 4185 4340 4374 4410 4464 4536 4557 4805 4860 5022 5040 5103 5145 5208 5292 5488 5580 5670 5766 5832 5859 5880 6076 6174 6480 6510 6561 6615 6696 6727 6804 6860 7056 7290 7440 7533 7560 7595 7688 7812 7938 8232 8370 8505 8649 8680 8748 8820 9072 9114 9261 9610 9720 9765 10044 10206 10290 10416 10584 10633 10935 11160 11340 11532 11664 11718 11760 11907 12152 12348 12555 13020 13122 13230 13392 13454 13608 13671 13720 14415 14580 15066 15120 15190 15309 15376 15435 15624 15876 16464 16740 17010 17298 17360 17496 17577 17640 18228 18522 19220 19440 19530 19683 19845 20088 20181 20412 20580 21168 21266 21870 22320 22599 22680 22785 23064 23436 23814 24304 24696 25110 25515 25947 26040 26244 26460 26908 27216 27342 27440 27783 28830 29160 29295 30132 30380 30618 30870 31248 31752 31899 32805 33480 33635 34020 34596 34992 35154 35280 35721 36456 37044 37665 38440 39060 39366 39690 40176 40362 40824 41013 41160 42532 43245 43740 45198 45360 45570 45927 46128 46305 46872 47089 47628 49392 50220 51030 51894 52080 52488 52731 52920 53165 53816 54684 55566 57660 58320 58590 59049 59535 60264 60543 60760 61236 61740 63504 63798 65610 66960 67270 67797 68040 68355 69192 70308 71442 72912 74088 75330 76545 76880 77841 78120 78732 79380 80724 81648 82026 82320 83349 85064 86490 87480 87885 90396 91140 91854 92610 93744 94178 95256 95697 98415 100440 100905 102060 103788 104976 105462 105840 106330 107163 107632 109368 111132 112995 115320 117180 118098 119070 120528 121086 121520 122472 123039 123480 127596 129735 131220 134540 135594 136080 136710 137781 138384 138915 140616 141267 142884 148176 150660 153090 155682 156240 157464 158193 158760 159495 161448 164052 166698 170128 172980 174960 175770 177147 178605 180792 181629 182280 183708 185220 188356 190512 191394 196830 200880 201810 203391 204120 205065 207576 210924 212660 214326 218736 222264 225990 229635 230640 233523 234360 235445 236196 238140 242172 244944 246078 246960 250047 255192 259470 262440 263655 269080 271188 273420 275562 277830 281232 282534 285768 287091 295245 301320 302715 306180 311364 314928 316386 317520 318990 321489 322896 328104 329623 333396 338985 345960 351540 354294 357210 361584 363258 364560 367416 369117 370440 376712 382788 389205 393660 403620 406782 408240 410130 413343 415152 416745 421848 423801 425320 428652 444528 451980 459270 467046 468720 470890 472392 474579 476280 478485 484344 492156 500094 510384 518940 524880 527310 531441 535815 538160 542376 544887 546840 551124 555660 565068 571536 574182 590490 602640 605430 610173 612360 615195 622728 632772 637980 642978 656208 659246 666792 677970 688905 691920 700569 703080 706335 708588 714420 726516 734832 738234 740880 750141 753424 765576 778410 787320 790965 807240 813564 820260 826686 833490 843696 847602 850640 857304 861273 885735 903960 908145 918540 934092 941780 944784 949158 952560 956970 964467 968688 984312 988869 1000188 1016955 1037880 1054620 1062882 1071630 1084752 1089774 1093680 1102248 1107351 1111320 1130136 1148364 1167615 1180980 1210860 1220346 1224720 1230390 1240029 1245456 1250235 1265544 1271403 1275960 1285956 1318492 1333584 1355940 1377810 1401138 1406160 1412670 1417176 1423737 1428840 1435455 1453032 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129759390180 133466801328 135619491672 143000144280 150150151494 150688324080 155711268216 166833501660 169524364590 171600173136 173012520240 175175176743 193742130960 194639085270 200200201992 214500216420 222444668880 226032486120 233566902324 250250252490 259518780360 271238983344 286000288560 291958627905 300300302988 311422536432 333667003320 339048729180 350350353486 375375378735 389278170540 400400403984 429000432840 452064972240 467133804648 500500504980 519037560720 525525530229 583917255810 600600605976 667334006640 678097458360 700700706972 750750757470 778556341080 858000865680 875875883715 934267609296 1001001009960 1051051060458 1167834511620 1201201211952 1356194916720 1401401413944 1501501514940 1557112682160 1751751767430 2002002019920 2102102120916 2335669023240 2627627651145 2802802827888 3003003029880 3503503534860 4204204241832 4671338046480 5255255302290 6006006059760 7007007069720 8408408483664 10510510604580 14014014139440 21021021209160 42042042418320
- Sum of all divisors σ(n): 176680924732800
- Sum of proper divisors (its aliquot sum) s(n): 134638882314480
- 42042042418320 is an abundant number, because the sum of its proper divisors (134638882314480) is greater than itself. Its abundance is 92596839896160
Bases of 42042042418320
- Binary: 10011000111100101011010000000100000100100100002
- Hexadecimal: 0x263CAD010490
- Base-36: EWHUIK900
Squares and roots of 42042042418320
- 42042042418320 squared (420420424183202) is 1767533330703818193871622400
- 42042042418320 cubed (420420424183203) is 74310711265244356967136118409317882368000
-
The
square root of 42042042418320 is 6483983.5300777869 -
The
cube root of 42042042418320 is 34771.8610386005
Scales and comparisons
How big is 42042042418320?- 42,042,042,418,320 seconds is equal to 1,336,806 years, 47 weeks, 4 hours, 12 minutes.
-
To count from 1 to 42,042,042,418,320 would take you about three million, three hundred forty-two thousand and seventeen 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 42042042418320 cubic inches would be around 2897.7 feet tall.
Recreational maths with 42042042418320
- 42042042418320 backwards is 02381424024024
- 42042042418320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42042042418320's digits is 36
- More coming soon!
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"Number 42042042418320 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 42042042418320 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/42042042418320/
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The information we have on file for 42042042418320 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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