42123932064859680
42,123,932,064,859,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42123932064859680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
42123932064859680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42123932064859680:
25 × 33 × 5 × 72 × 31 × 43 × 677 × 220511
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 31 × 43 × 677 × 220511)See below for interesting mathematical facts about the number 42123932064859680 from the Numbermatics database.
Names of 42123932064859680
- Cardinal: 42123932064859680 can be written as Forty-two quadrillion, one hundred twenty-three trillion, nine hundred thirty-two billion, sixty-four million, eight hundred fifty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.212393206485968 × 1016
Factors of 42123932064859680
Divisors of 42123932064859680
- Number of divisors d(n): 2304
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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 32 35 36 40 42 43 45 48 49 54 56 60 62 63 70 72 80 84 86 90 93 96 98 105 108 112 120 124 126 129 135 140 144 147 155 160 168 172 180 186 189 196 210 215 216 217 224 240 245 248 252 258 270 279 280 288 294 301 310 315 336 344 360 372 378 387 392 420 430 432 434 441 465 480 490 496 504 516 540 558 560 588 602 620 630 645 651 672 677 688 720 735 744 756 774 784 837 840 860 864 868 882 903 930 945 980 992 1008 1032 1080 1085 1116 1120 1161 1176 1204 1240 1260 1290 1302 1323 1333 1354 1376 1395 1440 1470 1488 1505 1512 1519 1548 1568 1674 1680 1720 1736 1764 1806 1860 1890 1935 1953 1960 2016 2031 2064 2107 2160 2170 2205 2232 2322 2352 2408 2480 2520 2580 2604 2646 2666 2708 2709 2790 2940 2976 3010 3024 3038 3096 3255 3348 3360 3385 3440 3472 3528 3612 3720 3780 3870 3906 3920 3999 4062 4128 4185 4214 4320 4340 4410 4464 4515 4557 4644 4704 4739 4816 4960 5040 5160 5208 5292 5332 5416 5418 5580 5805 5859 5880 6020 6048 6076 6093 6192 6321 6510 6615 6665 6696 6770 6880 6944 7056 7224 7440 7560 7595 7740 7812 7840 7998 8124 8127 8370 8428 8680 8820 8928 9030 9114 9288 9331 9478 9632 9765 10080 10155 10320 10416 10535 10584 10664 10832 10836 11160 11610 11718 11760 11997 12040 12152 12186 12384 12642 13020 13230 13330 13392 13540 13545 13671 14112 14217 14448 14880 15120 15190 15480 15624 15996 16248 16254 16740 16856 17360 17640 18060 18228 18279 18576 18662 18956 18963 19530 19995 20310 20640 20832 20987 21070 21168 21328 21664 21672 22320 22785 23220 23436 23520 23695 23994 24080 24304 24372 25284 26040 26460 26660 26784 27080 27090 27342 27993 28434 28896 29111 29295 30240 30380 30465 30960 31248 31605 31992 32496 32508 33173 33480 33712 34720 35280 35991 36120 36456 36558 37152 37324 37912 37926 39060 39990 40620 40635 41013 41974 42140 42336 42651 42656 43344 44640 45570 46440 46655 46872 47390 47988 48160 48608 48744 50568 52080 52920 53320 54160 54180 54684 55986 56868 56889 58222 58590 59985 60760 60930 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75221307258678 75490917678960 78007281601592 81635527257480 83579230287420 84927282388830 85967208295632 87758191801791 90589101214752 95519120328480 97059751301520 97509102001990 97962632708976 100295076344904 107459010369540 108847369676640 111438973716560 113236376518440 117010922402388 122453290886220 125368845431130 133726768459872 135883651822128 139946618155680 143278680492720 146263653002985 150442614517356 150981835357920 156014563203184 163271054514960 167158460574840 169854564777660 171934416591264 175516383603582 188053268146695 194119502603040 195018204003980 195925265417952 200590152689808 214918020739080 222877947433120 226472753036880 234021844804776 244906581772440 250737690862260 263274575405373 271767303644256 286557360985440 292527306005970 300885229034712 312029126406368 326542109029920 334316921149680 339709129555320 351032767207164 376106536293390 390036408007960 401180305379616 429836041478160 438790959008955 452945506073760 468043689609552 489813163544880 501475381724520 526549150810746 585054612011940 601770458069424 668633842299360 679418259110640 702065534414328 752213072586780 780072816015920 859672082956320 877581918017910 936087379219104 979626327089760 1002950763449040 1053098301621492 1170109224023880 1203540916138848 1316372877026865 1358836518221280 1404131068828656 1504426145173560 1560145632031840 1755163836035820 2005901526898080 2106196603242984 2340218448047760 2632745754053730 2808262137657312 3008852290347120 3510327672071640 4212393206485968 4680436896095520 5265491508107460 6017704580694240 7020655344143280 8424786412971936 10530983016214920 14041310688286560 21061966032429840 42123932064859680
- Sum of all divisors σ(n): 181422531967057920
- Sum of proper divisors (its aliquot sum) s(n): 139298599902198240
- 42123932064859680 is an abundant number, because the sum of its proper divisors (139298599902198240) is greater than itself. Its abundance is 97174667837338560
Bases of 42123932064859680
- Binary: 100101011010011101111110001101110100010011000110001000002
- Hexadecimal: 0x95A77E3744C620
- Base-36: BIROR8NPZC0
Squares and roots of 42123932064859680
- 42123932064859680 squared (421239320648596802) is 1774425652604913503930298089702400
- 42123932064859680 cubed (421239320648596803) is 74745785644473679317187465762951674239508959232000
-
The
square root of 42123932064859680 is 205241155.8748870425 -
The
cube root of 42123932064859680 is 347944.2264981051
Scales and comparisons
How big is 42123932064859680?- 42,123,932,064,859,680 seconds is equal to 1,339,410,741 years, 40 weeks, 5 days, 22 hours, 48 minutes.
-
To count from 1 to 42,123,932,064,859,680 would take you about four billion, eighteen million, two hundred thirty-two thousand, two hundred twenty-five 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 42123932064859680 cubic inches would be around 28995.4 feet tall.
Recreational maths with 42123932064859680
- 42123932064859680 backwards is 08695846023932124
- 42123932064859680 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42123932064859680's digits is 72
- More coming soon!
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"Number 42123932064859680 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 42123932064859680 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/42123932064859680/
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The information we have on file for 42123932064859680 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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