42142104576000
42,142,104,576,000 is an even composite number composed of seven prime numbers multiplied together.
42142104576000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, seven hundred twenty divisors.
Prime factorization of 42142104576000:
213 × 34 × 53 × 112 × 13 × 17 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 17 × 19)See below for interesting mathematical facts about the number 42142104576000 from the Numbermatics database.
Names of 42142104576000
- Cardinal: 42142104576000 can be written as Forty-two trillion, one hundred forty-two billion, one hundred four million, five hundred seventy-six thousand.
Scientific notation
- Scientific notation: 4.2142104576 × 1013
Factors of 42142104576000
Divisors of 42142104576000
- Number of divisors d(n): 6720
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 19 20 22 24 25 26 27 30 32 33 34 36 38 39 40 44 45 48 50 51 52 54 55 57 60 64 65 66 68 72 75 76 78 80 81 85 88 90 95 96 99 100 102 104 108 110 114 117 120 121 125 128 130 132 135 136 143 144 150 152 153 156 160 162 165 170 171 176 180 187 190 192 195 198 200 204 208 209 216 220 221 225 228 234 240 242 247 250 255 256 260 264 270 272 275 285 286 288 297 300 304 306 312 320 323 324 325 330 340 342 351 352 360 363 374 375 380 384 390 396 400 405 408 416 418 425 429 432 440 442 450 456 459 468 475 480 484 494 495 500 510 512 513 520 528 540 544 550 561 570 572 576 585 594 600 605 608 612 624 627 640 646 648 650 660 663 675 680 684 702 704 715 720 726 741 748 750 760 765 768 780 792 800 810 816 825 832 836 850 855 858 864 880 884 891 900 912 918 935 936 950 960 968 969 975 988 990 1000 1020 1024 1026 1040 1045 1053 1056 1080 1088 1089 1100 1105 1122 1125 1140 1144 1152 1170 1188 1200 1210 1216 1224 1235 1248 1254 1275 1280 1287 1292 1296 1300 1320 1326 1350 1360 1368 1375 1377 1404 1408 1425 1430 1440 1452 1482 1485 1496 1500 1520 1530 1536 1539 1560 1573 1584 1600 1615 1620 1625 1632 1650 1664 1672 1683 1700 1710 1716 1728 1755 1760 1768 1782 1800 1815 1824 1836 1870 1872 1881 1900 1920 1936 1938 1950 1976 1980 1989 2000 2025 2040 2048 2052 2057 2080 2090 2106 2112 2125 2145 2160 2176 2178 2200 2210 2223 2244 2250 2280 2288 2295 2299 2304 2340 2375 2376 2400 2420 2431 2432 2448 2470 2475 2496 2508 2550 2560 2565 2574 2584 2592 2600 2640 2652 2700 2717 2720 2736 2750 2754 2805 2808 2816 2850 2860 2880 2904 2907 2925 2964 2970 2992 3000 3025 3040 3060 3072 3078 3120 3135 3146 3168 3200 3230 3240 3250 3264 3267 3300 3315 3328 3344 3366 3375 3400 3420 3432 3456 3510 3520 3536 3553 3564 3575 3600 3630 3648 3672 3705 3740 3744 3762 3800 3825 3840 3861 3872 3876 3900 3952 3960 3978 4000 4050 4080 4096 4104 4114 4125 4160 4180 4199 4212 4224 4250 4275 4290 4320 4352 4356 4400 4420 4446 4455 4488 4500 4560 4576 4590 4598 4608 4675 4680 4719 4750 4752 4800 4840 4845 4862 4864 4875 4896 4940 4950 4992 5016 5049 5100 5120 5130 5148 5168 5184 5200 5225 5265 5280 5304 5400 5434 5440 5445 5472 5500 5508 5525 5610 5616 5632 5643 5700 5720 5760 5808 5814 5850 5928 5940 5967 5984 6000 6050 6080 6120 6144 6156 6171 6175 6240 6270 6292 6336 6375 6400 6435 6460 6480 6500 6528 6534 6600 6630 6656 6669 6688 6732 6750 6800 6840 6864 6885 6897 6912 7020 7040 7072 7106 7125 7128 7150 7200 7260 7293 7296 7344 7410 7425 7480 7488 7524 7600 7650 7680 7695 7722 7744 7752 7800 7865 7904 7920 7956 8000 8075 8100 8151 8160 8192 8208 8228 8250 8320 8360 8398 8415 8424 8448 8500 8550 8580 8640 8704 8712 8721 8775 8800 8840 8892 8910 8976 9000 9075 9120 9152 9180 9196 9216 9350 9360 9405 9438 9500 9504 9600 9680 9690 9724 9728 9750 9792 9801 9880 9900 9945 9984 10032 10098 10125 10200 10240 10260 10285 10296 10336 10368 10400 10450 10530 10560 10608 10659 10725 10800 10868 10880 10890 10944 11000 11016 11050 11115 11220 11232 11264 11286 11400 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329235192000 337136836608 348281856000 351184204800 360188928000 369667584000 383110041600 390204672000 405212544000 413157888000 421421045760 425677824000 438980256000 443601100800 468245606400 478887552000 495789465600 520272896000 526776307200 540283392000 554501376000 561894727680 585307008000 619736832000 638516736000 648340070400 658470384000 702368409600 739335168000 766220083200 780409344000 810425088000 826315776000 842842091520 877960512000 936491212800 957775104000 1053552614400 1080566784000 1109002752000 1170614016000 1239473664000 1277033472000 1316940768000 1404736819200 1560818688000 1620850176000 1685684183040 1755921024000 1915550208000 2107105228800 2218005504000 2341228032000 2478947328000 2633881536000 2809473638400 3241700352000 3511842048000 3831100416000 4214210457600 4682456064000 5267763072000 7023684096000 8428420915200 10535526144000 14047368192000 21071052288000 42142104576000
- Sum of all divisors σ(n): 207293448922560
- Sum of proper divisors (its aliquot sum) s(n): 165151344346560
- 42142104576000 is an abundant number, because the sum of its proper divisors (165151344346560) is greater than itself. Its abundance is 123009239770560
Bases of 42142104576000
- Binary: 10011001010011111110010010110001100000000000002
- Hexadecimal: 0x2653F92C6000
- Base-36: EXRTCZK00
Squares and roots of 42142104576000
- 42142104576000 squared (421421045760002) is 1775956978094520139776000000
- 42142104576000 cubed (421421045760003) is 74842564693336208942978329214976000000000
-
The
square root of 42142104576000 is 6491695.0464420307 -
The
cube root of 42142104576000 is 34799.4254364115
Scales and comparisons
How big is 42142104576000?- 42,142,104,576,000 seconds is equal to 1,339,988 years, 29 weeks, 5 days.
-
To count from 1 to 42,142,104,576,000 would take you about three million, three hundred forty-nine thousand, nine hundred seventy-one 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 42142104576000 cubic inches would be around 2900 feet tall.
Recreational maths with 42142104576000
- 42142104576000 backwards is 00067540124124
- 42142104576000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42142104576000's digits is 36
- More coming soon!
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"Number 42142104576000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 42142104576000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/42142104576000/
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The information we have on file for 42142104576000 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!
Keywords: Divisors of 42142104576000, math, Factors of 42142104576000, curriculum, school, college, exams, university, Prime factorization of 42142104576000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred forty-two billion, one hundred four million, five hundred seventy-six thousand.