42145991616960
42,145,991,616,960 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42145991616960 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
42145991616960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42145991616960:
26 × 35 × 5 × 7 × 11 × 61 × 257 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 61 × 257 × 449)See below for interesting mathematical facts about the number 42145991616960 from the Numbermatics database.
Names of 42145991616960
- Cardinal: 42145991616960 can be written as Forty-two trillion, one hundred forty-five billion, nine hundred ninety-one million, six hundred sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.214599161696 × 1013
Factors of 42145991616960
Divisors of 42145991616960
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 61 63 64 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 122 126 132 135 140 144 154 160 162 165 168 176 180 183 189 192 198 210 216 220 224 231 240 243 244 252 257 264 270 280 288 297 305 308 315 320 324 330 336 352 360 366 378 385 396 405 420 427 432 440 448 449 462 480 486 488 495 504 514 528 540 549 560 567 576 594 610 616 630 648 660 671 672 693 704 720 732 756 770 771 792 810 840 854 864 880 891 898 915 924 945 960 972 976 990 1008 1028 1056 1080 1098 1120 1134 1155 1188 1215 1220 1232 1260 1281 1285 1296 1320 1342 1344 1347 1386 1440 1464 1485 1512 1540 1542 1584 1620 1647 1680 1701 1708 1728 1760 1782 1796 1799 1830 1848 1890 1944 1952 1980 2013 2016 2056 2079 2112 2135 2160 2196 2240 2245 2268 2310 2313 2376 2430 2440 2464 2520 2562 2570 2592 2640 2673 2684 2694 2745 2772 2827 2835 2880 2928 2970 3024 3080 3084 3143 3168 3240 3294 3355 3360 3402 3416 3465 3520 3564 3592 3598 3660 3696 3780 3843 3855 3888 3904 3960 4026 4032 4041 4112 4158 4270 4320 4392 4455 4490 4536 4620 4626 4697 4752 4860 4880 4928 4939 4941 5040 5124 5140 5184 5280 5346 5368 5388 5397 5490 5544 5654 5670 5856 5940 6039 6048 6160 6168 6237 6286 6336 6405 6480 6588 6710 6720 6735 6804 6832 6930 6939 7128 7184 7196 7320 7392 7560 7686 7710 7776 7920 8052 8082 8224 8235 8316 8481 8505 8540 8640 8784 8910 8980 8995 9072 9240 9252 9394 9429 9504 9720 9760 9878 9882 10065 10080 10248 10280 10395 10560 10692 10736 10776 10794 10980 11088 11308 11340 11529 11565 11712 11880 12078 12096 12123 12320 12336 12474 12572 12810 12960 13176 13365 13420 13470 13608 13664 13860 13878 14091 14135 14256 14368 14392 14640 14784 14817 14823 15120 15372 15420 15552 15677 15715 15840 16104 16164 16191 16448 16470 16632 16962 17010 17080 17568 17820 17960 17990 18117 18144 18480 18504 18711 18788 18858 19008 19215 19440 19520 19756 19764 19789 20130 20160 20205 20496 20560 20790 20817 21384 21472 21552 21588 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23466587760 23650949280 23946586146 24390041445 24675639120 24777184960 25086899772 25589551680 26016044208 26607317940 27332030880 27367527024 27874333080 28381139136 28788245640 29268049734 30408363360 31288783680 31358624715 31405358880 31928781528 32520055260 32798437056 32900852160 33449199696 34209408780 34545894768 34688058944 35476423920 36490036032 37165777440 37630349658 38384327520 39024066312 39910976910 40998046320 41811499620 42571708704 43182368460 43360073680 43902074601 44598932928 45612545040 46061193024 46933175520 47301898560 47893172292 48780082890 49351278240 50173799544 52032088416 53214635880 54664061760 54735054048 55748666160 57576491280 58536099468 59866465365 60816726720 62717249430 62810717760 63857563056 65040110520 66898399392 68418817560 69091789536 70952847840 73170124335 74331554880 75260699316 76768655040 78048132624 79821953820 81996092640 83622999240 85143417408 86364736920 86720147360 87804149202 91225090080 93866351040 94075874145 95786344584 97560165780 98702556480 100347599088 104064176832 106429271760 109470108096 111497332320 115152982560 117072198936 119732930730 125434498860 127715126112 130080221040 131706223803 133796798784 136837635120 138183579072 141905695680 146340248670 150521398632 156096265248 159643907640 163992185280 167245998480 172729473840 173440294720 175608298404 182450180160 188151748290 191572689168 195120331560 200695198176 212858543520 219510373005 222994664640 230305965120 234144397872 239465861460 250868997720 255430252224 260160442080 263412447606 273675270240 292680497340 301042797264 312192530496 319287815280 334491996960 345458947680 351216596808 376303496580 383145378336 390240663120 401390396352 425717087040 439020746010 468288795744 478931722920 501737995440 520320884160 526824895212 547350540480 585360994680 602085594528 638575630560 658531119015 668983993920 690917895360 702433193616 752606993160 766290756672 780481326240 878041492020 936577591488 957863445840 1003475990880 1053649790424 1170721989360 1204171189056 1277151261120 1317062238030 1404866387232 1505213986320 1560962652480 1756082984040 1915726891680 2006951981760 2107299580848 2341443978720 2634124476060 2809732774464 3010427972640 3512165968080 3831453783360 4214599161696 4682887957440 5268248952120 6020855945280 7024331936160 8429198323392 10536497904240 14048663872320 21072995808480 42145991616960
- Sum of all divisors σ(n): 191668832409600
- Sum of proper divisors (its aliquot sum) s(n): 149522840792640
- 42145991616960 is an abundant number, because the sum of its proper divisors (149522840792640) is greater than itself. Its abundance is 107376849175680
Bases of 42145991616960
- Binary: 10011001010100111000001101101111101001110000002
- Hexadecimal: 0x2654E0DBE9C0
- Base-36: EXTLN8C00
Squares and roots of 42145991616960
- 42145991616960 squared (421459916169602) is 1776284609376862595359641600
- 42145991616960 cubed (421459916169603) is 74863276256132319153413243469910081536000
-
The
square root of 42145991616960 is 6491994.4252101757 -
The
cube root of 42145991616960 is 34800.4953294539
Scales and comparisons
How big is 42145991616960?- 42,145,991,616,960 seconds is equal to 1,340,112 years, 8 weeks, 4 days, 21 hours, 36 minutes.
-
To count from 1 to 42,145,991,616,960 would take you about three million, three hundred fifty thousand, two hundred eighty 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 42145991616960 cubic inches would be around 2900 feet tall.
Recreational maths with 42145991616960
- 42145991616960 backwards is 06961619954124
- 42145991616960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42145991616960's digits is 63
- More coming soon!
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"Number 42145991616960 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 42145991616960 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/42145991616960/
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The information we have on file for 42145991616960 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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