42149932898368880640
42,149,932,898,368,880,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 42149932898368880640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1824 divisors.
42149932898368880640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 42149932898368880640:
218 × 3 × 5 × 11 × 672 × 6013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 67 × 67 × 601 × 601 × 601)See below for interesting mathematical facts about the number 42149932898368880640 from the Numbermatics database.
Names of 42149932898368880640
- Cardinal: 42149932898368880640 can be written as Forty-two quintillion, one hundred forty-nine quadrillion, nine hundred thirty-two trillion, eight hundred ninety-eight billion, three hundred sixty-eight million, eight hundred eighty thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.214993289836888064 × 1019
Factors of 42149932898368880640
Divisors of 42149932898368880640
- Number of divisors d(n): 1824
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 67 80 88 96 110 120 128 132 134 160 165 176 192 201 220 240 256 264 268 320 330 335 352 384 402 440 480 512 528 536 601 640 660 670 704 737 768 804 880 960 1005 1024 1056 1072 1202 1280 1320 1340 1408 1474 1536 1608 1760 1803 1920 2010 2048 2112 2144 2211 2404 2560 2640 2680 2816 2948 3005 3072 3216 3520 3606 3685 3840 4020 4096 4224 4288 4422 4489 4808 5120 5280 5360 5632 5896 6010 6144 6432 6611 7040 7212 7370 7680 8040 8192 8448 8576 8844 8978 9015 9616 10240 10560 10720 11055 11264 11792 12020 12288 12864 13222 13467 14080 14424 14740 15360 16080 16384 16896 17152 17688 17956 18030 19232 19833 20480 21120 21440 22110 22445 22528 23584 24040 24576 25728 26444 26934 28160 28848 29480 30720 32160 32768 33055 33792 34304 35376 35912 36060 38464 39666 40267 40960 42240 42880 44220 44890 45056 47168 48080 49152 49379 51456 52888 53868 56320 57696 58960 61440 64320 65536 66110 67335 67584 68608 70752 71824 72120 76928 79332 80534 81920 84480 85760 88440 89780 90112 94336 96160 98304 98758 99165 102912 105776 107736 112640 115392 117920 120801 122880 128640 131072 132220 134670 135168 137216 141504 143648 144240 148137 153856 158664 161068 163840 168960 171520 176880 179560 180224 188672 192320 196608 197516 198330 201335 205824 211552 215472 225280 230784 235840 241602 245760 246895 257280 262144 264440 269340 270336 274432 283008 287296 288480 296274 307712 317328 322136 327680 337920 343040 353760 359120 360448 361201 377344 384640 393216 395032 396660 402670 411648 423104 430944 442937 450560 461568 471680 483204 491520 493790 514560 528880 538680 540672 548864 566016 574592 576960 592548 604005 615424 634656 644272 655360 675840 686080 707520 718240 720896 722402 740685 754688 769280 786432 790064 793320 805340 823296 846208 861888 885874 901120 923136 943360 966408 983040 987580 1029120 1057760 1077360 1081344 1083603 1097728 1132032 1149184 1153920 1185096 1208010 1230848 1269312 1288544 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13720681282021120 14026599966179328 14297806274887680 14968015944023040 15727586902376448 15965883673624576 16464817538425344 17533249957724160 19063741699850240 19659483627970560 19957354592030720 20581021923031680 20970115869835264 21953090051233792 23377666610298880 23948825510436864 26212644837294080 27441362564042240 28595612549775360 29936031888046080 31455173804752896 31931767347249152 32929635076850688 35066499915448320 39318967255941120 39914709184061440 41162043846063360 41940231739670528 43906180102467584 47897651020873728 52425289674588160 54882725128084480 57191225099550720 59872063776092160 62910347609505792 63863534694498304 65859270153701376 70132999830896640 78637934511882240 79829418368122880 82324087692126720 87812360204935168 95795302041747456 104850579349176320 109765450256168960 119744127552184320 125820695219011584 127727069388996608 131718540307402752 157275869023764480 159658836736245760 164648175384253440 175624720409870336 191590604083494912 209701158698352640 219530900512337920 239488255104368640 255454138777993216 263437080614805504 314551738047528960 319317673472491520 329296350768506880 351249440819740672 383181208166989824 439061801024675840 478976510208737280 526874161229611008 629103476095057920 638635346944983040 658592701537013760 702498881639481344 766362416333979648 878123602049351680 957953020417474560 1053748322459222016 1277270693889966080 1317185403074027520 1404997763278962688 1756247204098703360 1915906040834949120 2107496644918444032 2634370806148055040 2809995526557925376 3512494408197406720 3831812081669898240 4214993289836888064 5268741612296110080 7024988816394813440 8429986579673776128 10537483224592220160 14049977632789626880 21074966449184440320 42149932898368880640
- Sum of all divisors σ(n): 149619170698777680768
- Sum of proper divisors (its aliquot sum) s(n): 107469237800408800128
- 42149932898368880640 is an abundant number, because the sum of its proper divisors (107469237800408800128) is greater than itself. Its abundance is 65319304902039919488
Bases of 42149932898368880640
- Binary: 1001001000111100101010010010100110101100011101010000000000000000002
- Hexadecimal: 0x248F2A4A6B1D40000
- Base-36: 8W8H47MJJGIDC
Squares and roots of 42149932898368880640
- 42149932898368880640 squared (421499328983688806402) is 1776616843336999266850878662366566809600
- 42149932898368880640 cubed (421499328983688806403) is 74884280732766457056644663416326271808810065300128006144000
-
The
square root of 42149932898368880640 is 6492297967.4664409721 -
The
cube root of 42149932898368880640 is 3480158.0084806667
Scales and comparisons
How big is 42149932898368880640?- 42,149,932,898,368,880,640 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,149,932,898,368,880,640 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 42149932898368880640 cubic inches would be around 290013.2 feet tall.
Recreational maths with 42149932898368880640
- 42149932898368880640 backwards is 04608886389823994124
- The number of decimal digits it has is: 20
- The sum of 42149932898368880640's digits is 102
- More coming soon!
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"Number 42149932898368880640 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 42149932898368880640 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/42149932898368880640/
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Numbermatics. 2024. "Number 42149932898368880640 - Facts about the integer". https://numbermatics.com/n/42149932898368880640/
The information we have on file for 42149932898368880640 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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