42135444417119892480
42,135,444,417,119,892,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 42135444417119892480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1782 divisors.
42135444417119892480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred eighty-two divisors.
Prime factorization of 42135444417119892480:
210 × 32 × 5 × 732 × 4012 × 10332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 73 × 73 × 401 × 401 × 1033 × 1033)See below for interesting mathematical facts about the number 42135444417119892480 from the Numbermatics database.
Names of 42135444417119892480
- Cardinal: 42135444417119892480 can be written as Forty-two quintillion, one hundred thirty-five quadrillion, four hundred forty-four trillion, four hundred seventeen billion, one hundred nineteen million, eight hundred ninety-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.213544441711989248 × 1019
Factors of 42135444417119892480
Divisors of 42135444417119892480
- Number of divisors d(n): 1782
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 73 80 90 96 120 128 144 146 160 180 192 219 240 256 288 292 320 360 365 384 401 438 480 512 576 584 640 657 720 730 768 802 876 960 1024 1033 1095 1152 1168 1203 1280 1314 1440 1460 1536 1604 1752 1920 2005 2066 2190 2304 2336 2406 2560 2628 2880 2920 3072 3099 3208 3285 3504 3609 3840 4010 4132 4380 4608 4672 4812 5120 5165 5256 5329 5760 5840 6015 6198 6416 6570 7008 7218 7680 8020 8264 8760 9216 9297 9344 9624 10330 10512 10658 11520 11680 12030 12396 12832 13140 14016 14436 15360 15495 15987 16040 16528 17520 18045 18594 18688 19248 20660 21024 21316 23040 23360 24060 24792 25664 26280 26645 28032 28872 29273 30990 31974 32080 33056 35040 36090 37188 37376 38496 41320 42048 42632 46080 46485 46720 47961 48120 49584 51328 52560 53290 56064 57744 58546 61980 63948 64160 66112 70080 72180 74376 74752 75409 76992 79935 82640 84096 85264 87819 92970 93440 95922 96240 99168 102656 105120 106580 112128 115488 117092 123960 127896 128320 132224 140160 144360 146365 148752 150818 153984 159870 160801 165280 168192 170528 175638 185940 186880 191844 192480 198336 205312 210240 213160 224256 226227 230976 234184 239805 247920 255792 256640 263457 264448 280320 288720 292730 297504 301636 307968 319740 321602 330560 336384 341056 351276 371880 373760 377045 383688 384960 396672 410624 414233 420480 426320 439095 452454 461952 468368 479610 482403 495840 511584 513280 526914 528896 560640 577440 585460 595008 603272 615936 639480 643204 661120 672768 678681 682112 702552 743760 754090 767376 769920 793344 804005 828466 840960 852640 878190 904908 923904 936736 959220 964806 991680 1023168 1026560 1053828 1057792 1067089 1121280 1131135 1154880 1170920 1190016 1206544 1231872 1242699 1278960 1286408 1317285 1322240 1357362 1364224 1405104 1447209 1487520 1508180 1534752 1539840 1586688 1608010 1656932 1681920 1705280 1756380 1809816 1847808 1873472 1918440 1929612 1983360 2046336 2053120 2071165 2107656 2134178 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35025307079900160 36074866795479360 36575906612083240 38479857915177984 40789394401858560 41147894938593645 43891087934499888 48099822393972480 52537960619850240 54863859918124860 57719786872766976 58521450579333184 64133096525296640 65836631901749832 72149733590958720 73151813224166480 82295789877187290 87782175868999776 96199644787944960 105075921239700480 109727719836249720 115439573745533952 117042901158666368 131673263803499664 144299467181917440 146303626448332960 164591579754374580 175564351737999552 192399289575889920 219455439672499440 234085802317332736 263346527606999328 288598934363834880 292607252896665920 329183159508749160 351128703475999104 438910879344998880 468171604634665472 526693055213998656 577197868727669760 585214505793331840 658366319017498320 702257406951998208 877821758689997760 936343209269330944 1053386110427997312 1170429011586663680 1316732638034996640 1404514813903996416 1755643517379995520 2106772220855994624 2340858023173327360 2633465276069993280 2809029627807992832 3511287034759991040 4213544441711989248 4681716046346654720 5266930552139986560 7022574069519982080 8427088883423978496 10533861104279973120 14045148139039964160 21067722208559946240 42135444417119892480
- Sum of all divisors σ(n): 148539445913340598662
- Sum of proper divisors (its aliquot sum) s(n): 106404001496220706182
- 42135444417119892480 is an abundant number, because the sum of its proper divisors (106404001496220706182) is greater than itself. Its abundance is 64268557079100813702
Bases of 42135444417119892480
- Binary: 1001001000101111110010101101110100010001111010010110110100000000002
- Hexadecimal: 0x248BF2B7447A5B400
- Base-36: 8W4IGH255B7K0
Squares and roots of 42135444417119892480
- 42135444417119892480 squared (421354444171198924802) is 1775395676228199915743126942526760550400
- 42135444417119892480 cubed (421354444171198924803) is 74807085834108302348362884470445707238541877905553620992000
-
The
square root of 42135444417119892480 is 6491182050.8378820603 -
The
cube root of 42135444417119892480 is 3479759.2100405353
Scales and comparisons
How big is 42135444417119892480?- 42,135,444,417,119,892,480 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,135,444,417,119,892,480 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42135444417119892480 cubic inches would be around 289979.9 feet tall.
Recreational maths with 42135444417119892480
- 42135444417119892480 backwards is 08429891171444453124
- The number of decimal digits it has is: 20
- The sum of 42135444417119892480's digits is 81
- More coming soon!
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"Number 42135444417119892480 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 42135444417119892480 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/42135444417119892480/
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The information we have on file for 42135444417119892480 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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