41142507120
41,142,507,120 is an even composite number composed of six prime numbers multiplied together.
41142507120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 41142507120:
24 × 33 × 5 × 112 × 13 × 12109
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 12109)See below for interesting mathematical facts about the number 41142507120 from the Numbermatics database.
Names of 41142507120
- Cardinal: 41142507120 can be written as Forty-one billion, one hundred forty-two million, five hundred seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.114250712 × 1010
Factors of 41142507120
Divisors of 41142507120
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 33 36 39 40 44 45 48 52 54 55 60 65 66 72 78 80 88 90 99 104 108 110 117 120 121 130 132 135 143 144 156 165 176 180 195 198 208 216 220 234 240 242 260 264 270 286 297 312 330 351 360 363 390 396 429 432 440 468 484 495 520 528 540 572 585 594 605 624 660 702 715 720 726 780 792 858 880 936 968 990 1040 1080 1089 1144 1170 1188 1210 1287 1320 1404 1430 1452 1485 1560 1573 1584 1716 1755 1815 1872 1936 1980 2145 2160 2178 2288 2340 2376 2420 2574 2640 2808 2860 2904 2970 3120 3146 3267 3432 3510 3630 3861 3960 4290 4356 4680 4719 4752 4840 5148 5445 5616 5720 5808 5940 6292 6435 6534 6864 7020 7260 7722 7865 7920 8580 8712 9360 9438 9680 10296 10890 11440 11880 12109 12584 12870 13068 14040 14157 14520 15444 15730 16335 17160 17424 18876 19305 20592 21780 23595 23760 24218 25168 25740 26136 28080 28314 29040 30888 31460 32670 34320 36327 37752 38610 42471 43560 47190 48436 51480 52272 56628 60545 61776 62920 65340 70785 72654 75504 77220 84942 87120 94380 96872 102960 108981 113256 121090 125840 130680 133199 141570 145308 154440 157417 169884 181635 188760 193744 212355 217962 226512 242180 261360 266398 283140 290616 308880 314834 326943 339768 363270 377520 399597 424710 435924 472251 484360 532796 544905 566280 581232 629668 653886 665995 679536 726540 787085 799194 849420 871848 944502 968720 1065592 1089810 1132560 1198791 1259336 1307772 1331990 1416753 1453080 1465189 1574170 1598388 1634715 1698840 1731587 1743696 1889004 1997985 2131184 2179620 2361255 2397582 2518672 2615544 2663980 2833506 2906160 2930378 3148340 3196776 3269430 3397680 3463174 3596373 3778008 3995970 4250259 4359240 4395567 4722510 4795164 5194761 5231088 5327960 5667012 5860756 5993955 6296680 6393552 6538860 6926348 7083765 7192746 7325945 7556016 7991940 8500518 8657935 8718480 8791134 9445020 9590328 10389522 10655920 11334024 11721512 11987910 12593360 13077720 13186701 13852696 14167530 14385492 14651890 15584283 15983880 17001036 17315870 17582268 17981865 18890040 19047457 19180656 20779044 21251295 21977835 22668048 23443024 23975820 25973805 26155440 26373402 27705392 28335060 28770984 29303780 31168566 31967760 34002072 34631740 35164536 35963730 37780080 38094914 39560103 41558088 42502590 43955670 46752849 47951640 51947610 52746804 56670120 57142371 57541968 58607560 62337132 65933505 68004144 69263480 70329072 71927460 76189828 77921415 79120206 83116176 85005180 87911340 93505698 95237285 95903280 103895220 105493608 113340240 114284742 117215120 124674264 131867010 138526960 143854920 152379656 155842830 158240412 170010360 171427113 175822680 187011396 190474570 197800515 207790440 210987216 228569484 233764245 249348528 263734020 285711855 287709840 304759312 311685660 316480824 340020720 342854226 351645360 374022792 380949140 395601030 415580880 457138968 467528490 514281339 527468040 571423710 623371320 632961648 685708452 748045584 761898280 791202060 857135565 914277936 935056980 1028562678 1054936080 1142847420 1246742640 1371416904 1523796560 1582404120 1714271130 1870113960 2057125356 2285694840 2571406695 2742833808 3164808240 3428542260 3740227920 4114250712 4571389680 5142813390 6857084520 8228501424 10285626780 13714169040 20571253560 41142507120
- Sum of all divisors σ(n): 167763220800
- Sum of proper divisors (its aliquot sum) s(n): 126620713680
- 41142507120 is an abundant number, because the sum of its proper divisors (126620713680) is greater than itself. Its abundance is 85478206560
Bases of 41142507120
- Binary: 1001100101000100100011010110011100002
- Hexadecimal: 0x99448D670
- Base-36: IWF6PO0
Squares and roots of 41142507120
- 41142507120 squared (411425071202) is 1692705892119250694400
- 41142507120 cubed (411425071203) is 69642164218582223583416944128000
-
The
square root of 41142507120 is 202836.1583150303 -
The
cube root of 41142507120 is 3452.2077060475
Scales and comparisons
How big is 41142507120?- 41,142,507,120 seconds is equal to 1,308 years, 10 weeks, 4 days, 10 hours, 12 minutes.
-
To count from 1 to 41,142,507,120 would take you about two thousand, six hundred sixteen 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 41142507120 cubic inches would be around 287.7 feet tall.
Recreational maths with 41142507120
- 41142507120 backwards is 02170524114
- 41142507120 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 41142507120's digits is 27
- More coming soon!
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