38364172948920
38,364,172,948,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 38364172948920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
38364172948920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 38364172948920:
23 × 3 × 5 × 72 × 13 × 292 × 37 × 1272
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 29 × 29 × 37 × 127 × 127)See below for interesting mathematical facts about the number 38364172948920 from the Numbermatics database.
Names of 38364172948920
- Cardinal: 38364172948920 can be written as Thirty-eight trillion, three hundred sixty-four billion, one hundred seventy-two million, nine hundred forty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.836417294892 × 1013
Factors of 38364172948920
Divisors of 38364172948920
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 29 30 35 37 39 40 42 49 52 56 58 60 65 70 74 78 84 87 91 98 104 105 111 116 120 127 130 140 145 147 148 156 168 174 182 185 195 196 203 210 222 232 245 254 259 260 273 280 290 294 296 312 348 364 370 377 381 390 392 406 420 435 444 455 481 490 508 518 520 546 555 580 588 609 635 637 696 728 735 740 754 762 777 780 812 840 841 870 888 889 910 962 980 1015 1016 1036 1073 1092 1110 1131 1160 1176 1218 1270 1274 1295 1365 1421 1443 1470 1480 1508 1524 1554 1560 1624 1651 1682 1740 1778 1813 1820 1885 1905 1911 1924 1960 2030 2072 2146 2184 2220 2262 2405 2436 2523 2540 2548 2590 2639 2667 2730 2842 2886 2940 3016 3045 3048 3108 3185 3219 3302 3364 3367 3480 3556 3626 3640 3683 3770 3810 3822 3848 3885 4060 4205 4263 4292 4440 4445 4524 4699 4810 4872 4953 5046 5080 5096 5180 5278 5334 5365 5439 5460 5655 5684 5772 5880 5887 6090 6216 6223 6370 6438 6604 6728 6734 7105 7112 7215 7252 7366 7511 7540 7620 7644 7770 7917 8120 8255 8410 8526 8584 8890 9048 9065 9398 9555 9620 9906 10092 10101 10360 10556 10668 10730 10878 10920 10933 11049 11310 11368 11544 11557 11774 12180 12446 12615 12740 12876 13195 13208 13335 13468 13949 14097 14210 14430 14504 14732 15022 15080 15240 15288 15540 15834 16095 16129 16510 16820 16835 17052 17661 17780 18130 18415 18473 18669 18796 19110 19240 19812 20184 20202 21112 21315 21336 21460 21756 21866 22098 22533 22620 23114 23495 23548 23569 24360 24765 24892 25230 25480 25752 25781 26390 26670 26936 27195 27898 28194 28420 28860 29435 29464 30044 31080 31115 31117 31668 32190 32258 32799 32893 33020 33640 33670 34104 34671 35322 35560 36260 36830 36946 37338 37555 37592 38220 39585 39624 40404 41209 41847 42630 42920 43512 43732 44196 45066 45240 46228 46990 47096 47138 47879 48387 49530 49784 50460 50505 51562 52577 52780 53340 54390 54665 55245 55419 55796 56388 56840 57720 57785 58870 60088 61087 62230 62234 63336 64380 64516 65598 65786 66040 67340 69342 69745 70485 70644 70707 72520 73660 73892 74676 75110 76440 76531 77343 79170 80645 80808 80899 82418 83694 85260 87464 88305 88392 90132 92365 92456 93345 93351 93980 94276 95758 96774 97643 98679 99060 100920 101010 103124 105154 105560 106680 106807 108780 109330 110490 110838 111592 112665 112776 112903 115570 117740 117845 122174 123627 124460 124468 128760 128905 129032 131196 131572 134680 136271 138684 139490 140970 141288 141414 143637 147320 147784 149352 150220 153062 154686 155585 157731 158340 161290 161798 163995 164465 164836 167388 170520 173355 176610 180264 180467 183261 184730 186690 186702 187960 188552 191516 193548 195286 197358 198120 202020 206045 206248 209235 209677 210308 213614 217560 217819 218660 220980 221676 225330 225806 229593 230251 231140 235480 235690 239395 241935 242697 244348 247254 248920 248936 257810 262392 262885 263144 272542 277095 277368 278980 281940 282828 287274 292929 300440 305435 306124 309372 311170 315462 316680 320421 322580 323596 327990 328930 329672 334776 335153 338709 346710 353220 353535 360934 366522 369460 373380 373404 382655 383032 386715 387096 390572 394716 404040 404495 404521 408813 412090 418470 419354 420616 427228 427609 435638 437320 441960 443352 450660 451612 459186 460502 462280 466755 467741 471380 478790 483870 485394 488215 488696 493395 494508 515620 525770 534035 535717 541401 545084 554190 557960 563880 564515 565656 574548 585858 596773 610870 612248 618135 618744 622340 629031 630924 640842 645160 647192 653457 655980 657860 670306 677418 681355 683501 690753 693420 706440 707070 718185 721868 733044 738920 746760 746808 747649 765310 773430 781144 788655 789432 790321 808990 809042 817626 824180 836940 838708 854456 855218 871276 901320 902335 903224 916305 918372 921004 933510 935482 942760 953897 957580 967740 970788 976430 986790 989016 1005459 1031240 1048385 1051540 1068070 1071434 1082802 1089095 1090168 1108380 1129030 1147965 1149096 1151255 1171716 1193546 1213485 1213563 1221740 1236270 1244680 1258062 1261848 1281684 1282827 1306914 1311960 1315720 1340612 1354836 1362710 1367002 1381506 1386840 1388491 1403223 1414140 1436370 1443736 1464645 1466088 1467739 1495298 1524733 1530620 1546860 1577310 1580642 1602105 1607151 1617980 1618084 1635252 1648360 1673880 1675765 1677416 1693545 1710436 1742552 1771523 1790319 1804670 1832610 1836744 1842008 1867020 1870964 1907794 1915160 1935480 1941576 1952860 1973580 2010918 2022605 2044065 2050503 2096770 2103080 2136140 2138045 2142868 2165604 2178190 2216760 2242947 2258060 2295930 2302510 2338705 2343432 2346071 2370963 2387092 2426970 2427126 2443480 2472540 2516124 2563368 2565654 2613828 2678585 2681224 2707005 2709672 2725420 2734004 2763012 2776982 2806446 2828280 2831647 2861691 2872740 2929290 2935478 2983865 2990596 2993263 3049466 3061240 3093720 3145155 3154620 3161284 3204210 3214302 3235960 3236168 3267285 3270504 3274187 3351530 3387090 3417505 3420872 3453765 3543046 3580638 3609340 3665220 3734040 3738245 3741928 3815588 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705353428 719238338 726869514 729675960 744039660 759611384 760288802 770612505 774564364 792861160 801273480 813869340 814595145 816432708 829890390 848014433 851288620 868046270 877256310 881691785 893853051 899933684 916772360 930965880 949514230 968205455 969159352 1003772186 1020540885 1021546344 1027483340 1038385020 1041655524 1058030142 1078857507 1086126860 1106520520 1124917105 1139417076 1140433203 1161846546 1166332440 1169675080 1189291740 1191804068 1211449190 1232900760 1232980008 1234368499 1276932930 1302069405 1303352232 1329319922 1349900526 1360721180 1375158540 1410706856 1424271345 1438476676 1453739028 1488079320 1489755085 1505658279 1520577604 1541225010 1549128728 1574883947 1627738680 1629190290 1632865416 1659780780 1696028866 1702577240 1736092540 1754512620 1763383570 1787706102 1798095845 1799867368 1817173785 1899028460 1900722005 1936410910 1993979883 2007544372 2041081770 2054966680 2076770040 2083311048 2116060284 2157715014 2172253720 2249834210 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8630860056 8640579493 8938530510 8999336840 9123465624 9449303682 9874947992 9969899415 10037721860 10069336732 10176173196 10416555240 10539607953 10580301420 10788575070 11024187629 11394170760 11404332030 11618465460 11918040680 12045266232 12343684990 12586670915 12599071576 12720216495 13049038418 13293199220 13499005260 14052810604 14384766760 14537390280 14812421988 15056582790 15104005098 15205776040 15748839470 15951839064 16960288660 17281158986 17566013255 17877061020 18515527485 18898607364 19573557627 19939798830 20075443720 20138673464 20352346392 21079215906 21160602840 21577150140 22048375258 22808664060 23236930920 23623259205 24592418557 24687369980 25173341830 25440432990 25921738479 26098076836 26586398440 26998010520 28105621208 29624843976 30113165580 30208010196 31497678940 32622596045 33072562887 33920577320 34562317972 35132026510 35754122040 37031054970 37760012745 37797214728 39147115254 39879597660 42158431812 43154300280 43202897465 44096750516 45617328120 45671634463 47246518410 49184837114 49374739960 50346683660 50880865980 51843476958 52196153672 52698039765 55120938145 60226331160 60416020392 62995357880 65245192090 66145125774 69124635944 70264053020 73777255671 74062109940 75520025490 78294230508 79759195320 84316863624 86405794930 88193501032 91343268926 94493036820 97867788135 98369674228 100693367320 101761731960 103686953916 105396079530 110241876290 122962092785 129608692395 130490384180 132290251548 137014903389 140528106040 147554511342 148124219880 151040050980 156588461016 165362814435 172811589860 182686537852 188986073640 195735576270 196739348456 207373907832 210792159060 220483752580 228358172315 245924185570 259217384790 260980768360 264580503096 274029806778 295109022684 302080101960 319701441241 330725628870 345623179720 365373075704 368886278355 391471152540 421584318120 440967505160 456716344630 491848371140 518434769580 548059613556 590218045368 639402882482 661451257740 685074516945 737772556710 782942305080 913432689260 959104323723 983696742280 1036869539160 1096119227112 1278805764964 1322902515480 1370149033890 1475545113420 1598507206205 1826865378520 1918208647446 2557611529928 2740298067780 2951090226840 3197014412410 3836417294892 4795521618615 5480596135560 6394028824820 7672834589784 9591043237230 12788057649640 19182086474460 38364172948920
- Sum of all divisors σ(n): 154577952154080
- Sum of proper divisors (its aliquot sum) s(n): 116213779205160
- 38364172948920 is an abundant number, because the sum of its proper divisors (116213779205160) is greater than itself. Its abundance is 77849606256240
Bases of 38364172948920
- Binary: 10001011100100010110101110011010010101101110002
- Hexadecimal: 0x22E45AE695B8
- Base-36: DLK9A1G3C
Squares and roots of 38364172948920
- 38364172948920 squared (383641729489202) is 1471809766054645088929166400
- 38364172948920 cubed (383641729489203) is 56464764412829888795207653372885380288000
-
The
square root of 38364172948920 is 6193881.8965911837 -
The
cube root of 38364172948920 is 33726.8110885547
Scales and comparisons
How big is 38364172948920?- 38,364,172,948,920 seconds is equal to 1,219,862 years, 1 week, 4 days, 12 hours, 2 minutes.
-
To count from 1 to 38,364,172,948,920 would take you about three million, forty-nine thousand, six hundred fifty-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 38364172948920 cubic inches would be around 2810.6 feet tall.
Recreational maths with 38364172948920
- 38364172948920 backwards is 02984927146383
- The number of decimal digits it has is: 14
- The sum of 38364172948920's digits is 66
- More coming soon!
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"Number 38364172948920 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 38364172948920 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/38364172948920/
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Numbermatics. 2024. "Number 38364172948920 - Facts about the integer". https://numbermatics.com/n/38364172948920/
The information we have on file for 38364172948920 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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