42153078240
42,153,078,240 is an even composite number composed of six prime numbers multiplied together.
42153078240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42153078240:
25 × 33 × 5 × 7 × 13 × 107227
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 107227)See below for interesting mathematical facts about the number 42153078240 from the Numbermatics database.
Names of 42153078240
- Cardinal: 42153078240 can be written as Forty-two billion, one hundred fifty-three million, seventy-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.215307824 × 1010
Factors of 42153078240
Divisors of 42153078240
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 126 130 135 140 144 156 160 168 180 182 189 195 208 210 216 224 234 240 252 260 270 273 280 288 312 315 336 351 360 364 378 390 416 420 432 455 468 480 504 520 540 546 560 585 624 630 672 702 720 728 756 780 819 840 864 910 936 945 1008 1040 1080 1092 1120 1170 1248 1260 1365 1404 1440 1456 1512 1560 1638 1680 1755 1820 1872 1890 2016 2080 2160 2184 2340 2457 2520 2730 2808 2912 3024 3120 3276 3360 3510 3640 3744 3780 4095 4320 4368 4680 4914 5040 5460 5616 6048 6240 6552 7020 7280 7560 8190 8736 9360 9828 10080 10920 11232 12285 13104 14040 14560 15120 16380 18720 19656 21840 24570 26208 28080 30240 32760 39312 43680 49140 56160 65520 78624 98280 107227 131040 196560 214454 321681 393120 428908 536135 643362 750589 857816 965043 1072270 1286724 1393951 1501178 1608405 1715632 1930086 2144540 2251767 2573448 2787902 2895129 3002356 3216810 3431264 3752945 3860172 4181853 4289080 4503534 4825215 5146896 5575804 5790258 6004712 6433620 6755301 6969755 7505890 7720344 8363706 8578160 9007068 9650430 9757657 10293792 11151608 11258835 11580516 12009424 12545559 12867240 13510602 13939510 14475645 15011780 15440688 16727412 17156320 18014136 19300860 19515314 20265903 20909265 22303216 22517670 23161032 24018848 25091118 25734480 27021204 27879020 28951290 29272971 30023560 30881376 33454824 33776505 36028272 37636677 38601720 39030628 40531806 41818530 44606432 45035340 46322064 48788285 50182236 51468960 54042408 55758040 57902580 58545942 60047120 62727795 66909648 67553010 72056544 75273354 77203440 78061256 81063612 83637060 87818913 90070680 92644128 97576570 100364472 101329515 108084816 111516080 115805160 117091884 120094240 125455590 133819296 135106020 146364855 150546708 154406880 156122512 162127224 167274120 175637826 180141360 188183385 195153140 200728944 202659030 216169632 223032160 231610320 234183768 250911180 263456739 270212040 292729710 301093416 312245024 324254448 334548240 351275652 360282720 376366770 390306280 401457888 405318060 439094565 463220640 468367536 501822360 526913478 540424080 585459420 602186832 648508896 669096480 702551304 752733540 780612560 810636120 878189130 936735072 1003644720 1053826956 1080848160 1170918840 1204373664 1317283695 1405102608 1505467080 1561225120 1621272240 1756378260 2007289440 2107653912 2341837680 2634567390 2810205216 3010934160 3242544480 3512756520 4215307824 4683675360 5269134780 6021868320 7025513040 8430615648 10538269560 14051026080 21076539120 42153078240
- Sum of all divisors σ(n): 181584184320
- Sum of proper divisors (its aliquot sum) s(n): 139431106080
- 42153078240 is an abundant number, because the sum of its proper divisors (139431106080) is greater than itself. Its abundance is 97278027840
Bases of 42153078240
- Binary: 1001110100001000010011101101111000002
- Hexadecimal: 0x9D084EDE0
- Base-36: JD4URC0
Squares and roots of 42153078240
- 42153078240 squared (421530782402) is 1776882005107561497600
- 42153078240 cubed (421530782403) is 74901046184547119423944372224000
-
The
square root of 42153078240 is 205312.1483010685 -
The
cube root of 42153078240 is 3480.2445725853
Scales and comparisons
How big is 42153078240?- 42,153,078,240 seconds is equal to 1,340 years, 17 weeks, 3 days, 20 hours, 24 minutes.
-
To count from 1 to 42,153,078,240 would take you about two thousand, six 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 42153078240 cubic inches would be around 290 feet tall.
Recreational maths with 42153078240
- 42153078240 backwards is 04287035124
- 42153078240 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42153078240's digits is 36
- More coming soon!
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