42742346820388800
42,742,346,820,388,800 is an even composite number composed of six prime numbers multiplied together.
42742346820388800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 42742346820388800:
26 × 3 × 52 × 133 × 532 × 1133
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 53 × 53 × 113 × 113 × 113)See below for interesting mathematical facts about the number 42742346820388800 from the Numbermatics database.
Names of 42742346820388800
- Cardinal: 42742346820388800 can be written as Forty-two quadrillion, seven hundred forty-two trillion, three hundred forty-six billion, eight hundred twenty million, three hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.27423468203888 × 1016
Factors of 42742346820388800
Divisors of 42742346820388800
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 53 60 64 65 75 78 80 96 100 104 106 113 120 130 150 156 159 160 169 192 195 200 208 212 226 240 260 265 300 312 318 320 325 338 339 390 400 416 424 452 480 507 520 530 565 600 624 636 650 676 678 689 780 795 800 832 845 848 904 960 975 1014 1040 1060 1130 1200 1248 1272 1300 1325 1352 1356 1378 1469 1560 1590 1600 1690 1695 1696 1808 1950 2028 2067 2080 2120 2197 2260 2400 2496 2535 2544 2600 2650 2704 2712 2756 2809 2825 2938 3120 3180 3380 3390 3392 3445 3616 3900 3975 4056 4134 4160 4225 4240 4394 4407 4520 4800 5070 5088 5200 5300 5408 5424 5512 5618 5650 5876 5989 6240 6360 6591 6760 6780 6890 7232 7345 7800 7950 8112 8268 8427 8450 8475 8480 8788 8814 8957 9040 10140 10176 10335 10400 10600 10816 10848 10985 11024 11236 11300 11752 11978 12480 12675 12720 12769 13182 13520 13560 13780 14045 14690 15600 15900 16224 16536 16854 16900 16950 16960 17225 17576 17628 17914 17967 18080 19097 20280 20670 20800 21200 21696 21970 22035 22048 22472 22600 23504 23956 25350 25440 25538 26364 26871 27040 27120 27560 28090 29380 29945 31200 31800 32448 32955 33072 33708 33800 33900 34450 35152 35256 35828 35934 36160 36517 36725 38194 38307 40560 41340 42135 42400 43940 44070 44096 44785 44944 45200 47008 47912 50700 50880 51076 51675 52728 53742 54080 54240 54925 55120 56180 57291 58760 59890 62400 63600 63845 65910 66144 67416 67600 67800 68900 70225 70304 70512 71656 71868 73034 73450 76388 76614 77857 81120 82680 84270 84800 87880 88140 89570 89835 89888 90400 94016 95485 95824 101400 102152 103350 105456 107484 108480 109551 109850 110175 110240 112360 114582 116441 117520 119780 127200 127690 131820 132288 134355 134832 135200 135600 137800 140450 140608 141024 143312 143736 146068 146900 149725 152776 153228 155714 162240 164775 165360 165997 168540 175760 176280 179140 179670 179776 180800 182585 190970 191535 191648 202800 204304 206700 210675 210912 214968 219102 219700 220350 220480 223925 224720 229164 232882 233571 235040 239560 248261 254400 255380 263640 268710 269664 270400 271200 275600 280900 282048 286455 286624 287472 292136 293800 299450 305552 306456 311428 317417 319225 329550 330720 331994 337080 349323 351520 352560 358280 359340 365170 381940 383070 383296 389285 405600 408608 413400 421350 421824 429936 438204 439400 440700 447850 449175 449440 458328 465764 467142 470080 474721 477425 479120 496522 497991 510760 527280 537420 539328 542400 547755 551200 561800 572910 573248 574944 582205 584272 587600 598900 611104 612912 622856 634834 638450 659100 661440 663988 671775 674160 676757 698646 703040 705120 716560 718680 730340 744783 763880 766140 778570 811200 817216 826800 829985 842700 859872 876408 878800 881400 895700 898350 898880 912925 916656 931528 934284 949442 952251 954850 957675 958240 993044 995982 1012141 1021520 1054560 1074840 1095510 1102400 1123600 1145820 1149888 1164410 1167855 1168544 1175200 1197800 1222208 1225824 1241305 1245712 1269668 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161291874793920 164393641616880 178093111751620 189125428408800 201614843492400 205492052021100 213711734101944 219191522155840 222616389689525 252913294795200 267139667627430 268819791323200 273989402694800 284948978802592 328787283233760 356186223503240 378250856817600 403229686984800 410984104042200 427423468203888 445232779379050 534279335254860 547978805389600 569897957605184 657574566467520 667849169068575 712372447006480 806459373969600 821968208084400 854846936407776 890465558758100 1068558670509720 1095957610779200 1335698338137150 1424744894012960 1643936416168800 1709693872815552 1780931117516200 2137117341019440 2671396676274300 2849489788025920 3287872832337600 3561862235032400 4274234682038880 5342793352548600 7123724470064800 8548469364077760 10685586705097200 14247448940129600 21371173410194400 42742346820388800
- Sum of all divisors σ(n): 156213822582753600
- Sum of proper divisors (its aliquot sum) s(n): 113471475762364800
- 42742346820388800 is an abundant number, because the sum of its proper divisors (113471475762364800) is greater than itself. Its abundance is 70729128941976000
Bases of 42742346820388800
- Binary: 100101111101100111110000000111110001100010000111110000002
- Hexadecimal: 0x97D9F01F1887C0
- Base-36: BOUWB2261MO
Squares and roots of 42742346820388800
- 42742346820388800 squared (427423468203888002) is 1826908211714400561287383165440000
- 42742346820388800 cubed (427423468203888003) is 78086344394113197491662555885694452475523072000000
-
The
square root of 42742346820388800 is 206742223.1194895515 -
The
cube root of 42742346820388800 is 349638.6660605135
Scales and comparisons
How big is 42742346820388800?- 42,742,346,820,388,800 seconds is equal to 1,359,074,418 years, 6 weeks, 4 days, 22 hours, 40 minutes.
-
To count from 1 to 42,742,346,820,388,800 would take you about four billion, seventy-seven million, two hundred twenty-three thousand, two hundred fifty-four 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 42742346820388800 cubic inches would be around 29136.6 feet tall.
Recreational maths with 42742346820388800
- 42742346820388800 backwards is 00888302864324724
- The number of decimal digits it has is: 17
- The sum of 42742346820388800's digits is 69
- More coming soon!
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The information we have on file for 42742346820388800 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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