42156464058419200
42,156,464,058,419,200 is an even composite number composed of five prime numbers multiplied together.
42156464058419200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42156464058419200:
211 × 52 × 7 × 23 × 5114089681
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 23 × 5114089681)See below for interesting mathematical facts about the number 42156464058419200 from the Numbermatics database.
Names of 42156464058419200
- Cardinal: 42156464058419200 can be written as Forty-two quadrillion, one hundred fifty-six trillion, four hundred sixty-four billion, fifty-eight million, four hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 4.21564640584192 × 1016
Factors of 42156464058419200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 5114089718
Divisors of 42156464058419200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 112 115 128 140 160 161 175 184 200 224 230 256 280 320 322 350 368 400 448 460 512 560 575 640 644 700 736 800 805 896 920 1024 1120 1150 1280 1288 1400 1472 1600 1610 1792 1840 2048 2240 2300 2560 2576 2800 2944 3200 3220 3584 3680 4025 4480 4600 5120 5152 5600 5888 6400 6440 7168 7360 8050 8960 9200 10240 10304 11200 11776 12800 12880 14336 14720 16100 17920 18400 20608 22400 23552 25600 25760 29440 32200 35840 36800 41216 44800 47104 51200 51520 58880 64400 71680 73600 82432 89600 103040 117760 128800 147200 164864 179200 206080 235520 257600 294400 329728 358400 412160 515200 588800 824320 1030400 1177600 1648640 2060800 4121600 8243200 5114089681 10228179362 20456358724 25570448405 35798627767 40912717448 51140896810 71597255534 81825434896 102281793620 117624062663 127852242025 143194511068 163650869792 178993138835 204563587240 235248125326 255704484050 286389022136 327301739584 357986277670 409127174480 470496250652 511408968100 572778044272 588120313315 654603479168 715972555340 818254348960 823368438641 894965694175 940992501304 1022817936200 1145556088544 1176240626630 1309206958336 1431945110680 1636508697920 1646736877282 1789931388350 1881985002608 2045635872400 2291112177088 2352481253260 2618413916672 2863890221360 2940601566575 3273017395840 3293473754564 3579862776700 3763970005216 4091271744800 4116842193205 4582224354176 4704962506520 5236827833344 5727780442720 5881203133150 6546034791680 6586947509128 7159725553400 7527940010432 8182543489600 8233684386410 9164448708352 9409925013040 10473655666688 11455560885440 11762406266300 13092069583360 13173895018256 14319451106800 15055880020864 16365086979200 16467368772820 18328897416704 18819850026080 20584210966025 22911121770880 23524812532600 26184139166720 26347790036512 28638902213600 30111760041728 32730173958400 32934737545640 36657794833408 37639700052160 41168421932050 45822243541760 47049625065200 52368278333440 52695580073024 57277804427200 60223520083456 65460347916800 65869475091280 73315589666816 75279400104320 82336843864100 91644487083520 94099250130400 105391160146048 114555608854400 120447040166912 130920695833600 131738950182560 150558800208640 164673687728200 183288974167040 188198500260800 210782320292096 229111217708800 240894080333824 261841391667200 263477900365120 301117600417280 329347375456400 366577948334080 376397000521600 421564640584192 458222435417600 526955800730240 602235200834560 658694750912800 752794001043200 843129281168384 916444870835200 1053911601460480 1204470401669120 1317389501825600 1505588002086400 1686258562336768 1832889741670400 2107823202920960 2634779003651200 3011176004172800 4215646405841920 5269558007302400 6022352008345600 8431292811683840 10539116014604800 21078232029209600 42156464058419200
- Sum of all divisors σ(n): 124647958018846080
- Sum of proper divisors (its aliquot sum) s(n): 82491493960426880
- 42156464058419200 is an abundant number, because the sum of its proper divisors (82491493960426880) is greater than itself. Its abundance is 40335029902007680
Bases of 42156464058419200
- Binary: 100101011100010100010100101010010011000001001000000000002
- Hexadecimal: 0x95C514A9304800
- Base-36: BJ37W8CQHOG
Squares and roots of 42156464058419200
- 42156464058419200 squared (421564640584192002) is 1777167461908789806830402928640000
- 42156464058419200 cubed (421564640584192003) is 74919096233749970165954808649893403728805888000000
-
The
square root of 42156464058419200 is 205320393.6739339099 -
The
cube root of 42156464058419200 is 348033.7750127607
Scales and comparisons
How big is 42156464058419200?- 42,156,464,058,419,200 seconds is equal to 1,340,445,158 years, 28 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 42,156,464,058,419,200 would take you about four billion, twenty-one million, three hundred thirty-five thousand, four hundred seventy-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 42156464058419200 cubic inches would be around 29002.8 feet tall.
Recreational maths with 42156464058419200
- 42156464058419200 backwards is 00291485046465124
- The number of decimal digits it has is: 17
- The sum of 42156464058419200's digits is 61
- More coming soon!
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