42045146550
42,045,146,550 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42045146550 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
42045146550 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 42045146550:
2 × 33 × 52 × 112 × 192 × 23 × 31
(2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 19 × 19 × 23 × 31)See below for interesting mathematical facts about the number 42045146550 from the Numbermatics database.
Names of 42045146550
- Cardinal: 42045146550 can be written as Forty-two billion, forty-five million, one hundred forty-six thousand, five hundred fifty.
Scientific notation
- Scientific notation: 4.204514655 × 1010
Factors of 42045146550
Divisors of 42045146550
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 5 6 9 10 11 15 18 19 22 23 25 27 30 31 33 38 45 46 50 54 55 57 62 66 69 75 90 93 95 99 110 114 115 121 135 138 150 155 165 171 186 190 198 207 209 225 230 242 253 270 275 279 285 297 310 330 341 342 345 361 363 414 418 437 450 465 475 495 506 513 550 558 570 575 589 594 605 621 627 675 682 690 713 722 726 759 775 825 837 855 874 930 950 990 1023 1026 1035 1045 1083 1089 1150 1178 1210 1242 1254 1265 1311 1350 1395 1425 1426 1485 1518 1550 1650 1674 1705 1710 1725 1767 1805 1815 1881 2046 2070 2090 2139 2166 2178 2185 2277 2299 2325 2475 2530 2565 2622 2783 2790 2850 2945 2970 3025 3069 3105 3135 3249 3267 3410 3450 3534 3565 3610 3630 3751 3762 3795 3933 3971 4185 4275 4278 4370 4554 4598 4650 4807 4950 5115 5130 5175 5225 5301 5415 5445 5566 5643 5890 6050 6138 6210 6270 6325 6417 6479 6498 6534 6555 6831 6897 6975 7130 7425 7502 7590 7843 7866 7942 8303 8349 8370 8525 8550 8835 9025 9075 9207 9405 9614 9747 10230 10350 10450 10602 10695 10830 10890 10925 11191 11253 11286 11385 11495 11799 11913 12650 12825 12834 12958 13110 13547 13662 13794 13915 13950 14421 14725 14850 15345 15525 15675 15686 15903 16245 16335 16606 16698 17050 17670 17825 18050 18150 18414 18755 18810 18975 19251 19437 19494 19665 19855 20691 20925 21390 21850 22382 22506 22770 22990 23529 23598 23826 24035 24909 25047 25575 25650 26505 27075 27094 27225 27830 28215 28842 29450 30690 31050 31350 31806 32085 32395 32490 32670 32775 33573 33759 34155 34485 35650 35739 37510 37950 38502 38874 39215 39330 39710 40641 41382 41515 41745 41850 43263 43681 44175 46035 47025 47058 48070 48735 49818 50094 51150 52877 53010 53475 54150 54450 55955 56265 56430 56925 57475 58311 58995 59565 62073 64170 64790 65550 67146 67518 67735 68310 68970 69575 70587 71269 71478 72105 74727 75141 76725 78430 79515 81225 81282 81675 83030 83490 86273 86526 87362 88350 91333 92070 93775 94050 96255 97185 97470 98325 99275 100719 101277 103455 105754 106950 107217 111910 112530 113850 114950 116622 117645 117990 119130 120175 121923 123101 124146 124545 125235 129789 131043 132525 135470 139150 141075 141174 142538 144210 149017 149454 150282 153450 158631 159030 160425 161975 162450 163350 167865 168795 170775 172425 172546 174933 178695 182666 187550 192510 194370 196075 196650 198550 201438 202554 203205 206910 207575 208725 211761 213807 214434 216315 218405 224181 230175 235290 240350 243675 243846 246202 249090 250470 257393 258819 259578 262086 264385 265050 273999 279775 281325 282150 291555 294975 297825 298034 302157 310365 317262 320850 323950 335730 337590 338675 341550 344850 349866 352935 356345 357390 360525 365769 369303 373635 375705 392150 393129 397575 406410 415150 417450 423522 427614 431365 432630 436810 447051 448362 456665 460350 475893 481275 485925 487350 503595 506385 514786 517275 517638 528770 536085 547998 559550 562650 583110 588225 589950 595650 604314 609615 615505 620730 622725 626175 641421 648945 655215 677350 705870 712690 721050 731538 738606 745085 747270 751410 772179 776457 786258 793155 795150 821997 839325 843975 862730 874665 893475 894102 913330 951786 962550 971850 1004663 1007190 1012770 1016025 1034550 1058805 1069035 1072170 1081575 1092025 1107909 1120905 1176450 1179387 1219230 1231010 1245450 1252350 1282842 1286965 1294095 1297890 1310430 1321925 1341153 1354111 1369995 1427679 1457775 1490170 1510785 1544358 1551825 1552914 1586310 1639187 1643994 1678650 1687950 1749330 1764675 1781725 1786950 1828845 1846515 1868175 1878525 1924263 1965645 2009326 2032050 2117610 2138070 2156825 2163150 2184050 2215818 2235255 2241810 2283325 2316537 2329371 2358774 2379465 2465991 2517975 2531925 2573930 2588190 2643850 2680425 2682306 2708222 2739990 2831323 2855358 2915550 3013989 3021570 3048075 3077525 3103650 3207105 3244725 3276075 3278374 3323727 3529350 3563450 3657690 3693030 3725425 3736350 3757050 3848526 3860895 3882285 3931290 3965775 4023459 4062333 4109985 4313650 4373325 4470510 4566650 4633074 4658742 4758930 4917561 4931982 5023315 5035950 5063850 5294025 5345175 5360850 5539545 5604525 5662646 5896935 6027978 6096150 6155050 6414210 6434825 6470475 6489450 6552150 6647454 6705765 6770555 6849975 6949611 7138395 7450850 7553925 7721790 7764570 7931550 8046918 8124666 8195935 8219970 8493969 8746650 9041967 9144225 9232575 9621315 9828225 9835122 10046630 10588050 10690350 11079090 11176275 11209050 11582685 11646855 11793870 11897325 12186999 12329955 12869650 12940950 13411530 13541110 13699950 13899222 14156615 14276790 14752683 15069945 15107850 16035525 16391870 16618635 16987938 18083934 18288450 18465150 19242630 19304475 19411425 19656450 20117295 20311665 20549925 22352550 23165370 23293710 23794650 24373998 24587805 24659910 25116575 25481907 27125901 27697725 28313230 29484675 29505366 30139890 31144553 32071050 33237270 33528825 33852775 34748055 35691975 36560997 38608950 38822850 40234590 40623330 40979675 41099850 42469845 44258049 45209835 48106575 49175610 50233150 50963814 54251802 55395450 57913425 58234275 58969350 60934995 61649775 62289106 67057650 67705550 69496110 70783075 71383950 73121994 73763415 75349725 76445721 81959350 83093175 84939690 88516098 90419670 93433659 96213150 100586475 101558325 115826850 116468550 121869990 122939025 123299550 127409535 135629505 141566150 147526830 150699450 152891442 155722765 166186350 173740275 182804985 186867318 201172950 203116650 212349225 221290245 226049175 245878050 254819070 271259010 280300977 304674975 311445530 347480550 365609970 368817075 382228605 424698450 442580490 452098350 467168295 560601954 609349950 637047675 678147525 737634150 764457210 778613825 840902931 914024925 934336590 1106451225 1274095350 1356295050 1401504885 1557227650 1681805862 1828049850 1911143025 2212902450 2335841475 2803009770 3822286050 4204514655 4671682950 7007524425 8409029310 14015048850 21022573275 42045146550
- Sum of all divisors σ(n): 144770734080
- Sum of proper divisors (its aliquot sum) s(n): 102725587530
- 42045146550 is an abundant number, because the sum of its proper divisors (102725587530) is greater than itself. Its abundance is 60680440980
Bases of 42045146550
- Binary: 1001110010100001011000000101101101102
- Hexadecimal: 0x9CA1605B6
- Base-36: JBCLEPI
Squares and roots of 42045146550
- 42045146550 squared (420451465502) is 1767794348410976902500
- 42045146550 cubed (420451465503) is 74327172449201283494277561375000
-
The
square root of 42045146550 is 205049.1320391287 -
The
cube root of 42045146550 is 3477.2716799269
Scales and comparisons
How big is 42045146550?- 42,045,146,550 seconds is equal to 1,336 years, 47 weeks, 15 hours, 22 minutes, 30 seconds.
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To count from 1 to 42,045,146,550 would take you about two thousand, six hundred seventy-three 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 42045146550 cubic inches would be around 289.8 feet tall.
Recreational maths with 42045146550
- 42045146550 backwards is 05564154024
- The number of decimal digits it has is: 11
- The sum of 42045146550's digits is 36
- More coming soon!
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The information we have on file for 42045146550 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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