40048132052448900
40,048,132,052,448,900 is an even composite number composed of six prime numbers multiplied together.
40048132052448900 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 40048132052448900:
22 × 33 × 52 × 193 × 292 × 1373
(2 × 2 × 3 × 3 × 3 × 5 × 5 × 19 × 19 × 19 × 29 × 29 × 137 × 137 × 137)See below for interesting mathematical facts about the number 40048132052448900 from the Numbermatics database.
Names of 40048132052448900
- Cardinal: 40048132052448900 can be written as Forty quadrillion, forty-eight trillion, one hundred thirty-two billion, fifty-two million, four hundred forty-eight thousand, nine hundred.
Scientific notation
- Scientific notation: 4.00481320524489 × 1016
Factors of 40048132052448900
Divisors of 40048132052448900
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 29 30 36 38 45 50 54 57 58 60 75 76 87 90 95 100 108 114 116 135 137 145 150 171 174 180 190 225 228 261 270 274 285 290 300 342 348 361 380 411 435 450 475 513 522 540 548 551 570 580 675 684 685 722 725 783 822 841 855 870 900 950 1026 1044 1083 1102 1140 1233 1305 1350 1370 1425 1444 1450 1566 1644 1653 1682 1710 1740 1805 1900 2052 2055 2166 2175 2204 2466 2523 2565 2603 2610 2700 2740 2755 2850 2900 3132 3249 3306 3364 3420 3425 3610 3699 3915 3973 4110 4205 4275 4332 4350 4932 4959 5046 5130 5206 5220 5415 5510 5700 6165 6498 6525 6612 6850 6859 7220 7398 7569 7809 7830 7946 8220 8265 8410 8550 8700 9025 9747 9918 10092 10260 10275 10412 10469 10830 11020 11919 12330 12615 12825 12996 13015 13050 13700 13718 13775 14796 14877 15138 15618 15660 15892 15979 16245 16530 16820 17100 18050 18495 18769 19494 19575 19836 19865 20550 20577 20938 21025 21660 22707 23427 23838 24660 24795 25230 25650 26030 26100 27075 27436 27550 29754 30276 30825 31236 31407 31958 32490 33060 34295 35757 36100 36990 37538 37845 38988 39045 39150 39730 41100 41154 41325 41876 42050 45414 46854 47676 47937 48735 49457 49590 50460 51300 52060 52345 54150 55100 56307 59508 59595 61650 61731 62814 63075 63916 64980 65075 68590 70281 71514 73980 74385 75076 75487 75690 78090 78300 79460 79895 81225 82308 82650 84100 90828 92475 93708 93845 94221 95874 97470 98914 99180 99325 102885 104690 107271 108300 112614 113535 115217 117135 119190 123300 123462 123975 125628 126150 130150 137180 140562 143028 143811 148371 148770 150974 151380 156180 157035 159790 162450 165300 168921 171475 178785 184950 185193 187690 188442 189225 191748 194940 195225 197828 198650 198911 205770 209380 214542 225228 226461 227070 230434 234270 238380 239685 243675 246924 247285 247950 252300 260300 261725 281124 281535 282663 287622 296742 297540 297975 301948 303601 308655 314070 319580 324900 337842 342950 345651 351405 356611 357570 369900 370386 371925 375380 376884 377435 378450 390450 397300 397822 399475 411540 429084 431433 445113 452922 454140 460868 468540 469225 471105 479370 487350 494570 495900 506763 514425 523450 536355 544301 563070 565326 567675 575244 576085 585675 593484 595950 596733 607202 617310 628140 675684 679383 685900 691302 702810 713222 715140 719055 740772 741855 743850 754870 756900 780900 785175 795644 798950 844605 862866 890226 893925 905844 910803 925965 938450 939683 942210 958740 974700 989140 994555 1013526 1028850 1036953 1046900 1069833 1072710 1088602 1126140 1130652 1132305 1135350 1152170 1171350 1191900 1193466 1198425 1214404 1234620 1236425 1335339 1358766 1382604 1405620 1407675 1413315 1426444 1434253 1438110 1483710 1487700 1509740 1518005 1543275 1570350 1597900 1632903 1689210 1725732 1728255 1757025 1780452 1783055 1787850 1790199 1821606 1851930 1876900 1879366 1884420 1887175 1989110 2027052 2038149 2057700 2073906 2139666 2145420 2157165 2177204 2189123 2225565 2264610 2270700 2304340 2342700 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427371537675 433069824844 440922755675 476196576129 484550902026 486564271425 493051795044 501259553820 504003675465 511470396583 512845845210 529107306810 530530184700 533434547025 538389891140 541337281055 560004083850 569828716900 583877125710 615415014252 616314743805 626574442275 634928768172 637566976350 648752361900 649604737266 672004900620 672987363925 711246062700 726826353039 739577692566 765080371620 769268767815 780665342153 793660960215 807584836710 809756597700 821752991740 835432589700 840006125775 854743075350 881845511350 952393152258 956350464525 969101804052 973128542850 974407105899 1008007350930 1022940793166 1025691690420 1027191239675 1058214613620 1066869094050 1082674562110 1109366538849 1120008167700 1167754251420 1211377255065 1232629487610 1253148884550 1275133952700 1282114613025 1299209474532 1322768267025 1345974727850 1453652706078 1459692814275 1479155385132 1534411189749 1538537535630 1561330684306 1587321920430 1615169673420 1624011843165 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8120059215825 9206467138494 9244721157075 9367984105836 9523931522580 9744071058990 10080073509300 10229407931660 10826745621100 11093665388490 11692885270788 11709980132295 11904914403225 12113772550650 12326294876100 12786759914575 13809700707741 14051976158754 14536527060780 14616106588485 14832641500907 15344111897490 15385375356300 15613306843060 15873219204300 16240118431650 18170658825975 18412934276988 18489442314150 19488142117980 19516633553825 21077964238131 22187330776980 23016167846235 23419960264590 23809828806450 24227545101300 24360177647475 25573519829150 27619401415482 27734163471225 28103952317508 29232213176970 29665283001814 30688223794980 32480236863300 35129940396885 36341317651950 36978884628300 38360279743725 39033267107650 42155928476262 44497924502721 46032335692470 46839920529180 47619657612900 48720355294950 51147039658300 55238802830964 55468326942450 58464426353940 58549900661475 59330566003628 69048503538705 70259880793770 72682635303900 73080532942425 74163207504535 76720559487450 78066534215300 84311856952524 88995849005442 92064671384940 97440710589900 105389821190655 110936653884900 115080839231175 117099801322950 133493773508163 138097007077410 140519761587540 146161065884850 148326415009070 153441118974900 175649701984425 177991698010884 210779642381310 222489622513605 230161678462350 234199602645900 266987547016326 276194014154820 292322131769700 296652830018140 345242517693525 351299403968850 370816037522675 400481320524489 421559284762620 444979245027210 460323356924700 526949105953275 533975094032652 667468867540815 690485035387050 702598807937700 741632075045350 800962641048978 889958490054420 1053898211906550 1112448112568025 1334937735081630 1380970070774100 1483264150090700 1601925282097956 2002406602622445 2107796423813100 2224896225136050 2669875470163260 3337344337704075 4004813205244890 4449792450272100 6674688675408150 8009626410489780 10012033013112225 13349377350816300 20024066026224450 40048132052448900
- Sum of all divisors σ(n): 141781577919072000
- Sum of proper divisors (its aliquot sum) s(n): 101733445866623100
- 40048132052448900 is an abundant number, because the sum of its proper divisors (101733445866623100) is greater than itself. Its abundance is 61685313814174200
Bases of 40048132052448900
- Binary: 100011100100011110010000010111001110011101110110100001002
- Hexadecimal: 0x8E47905CE77684
- Base-36: AYBVLVNWEX0
Squares and roots of 40048132052448900
- 40048132052448900 squared (400481320524489002) is 1603852880890384943660487111210000
- 40048132052448900 cubed (400481320524489003) is 64231311966598733119059461885591282167142169000000
-
The
square root of 40048132052448900 is 200120293.9545335067 -
The
cube root of 40048132052448900 is 342132.3087712911
Scales and comparisons
How big is 40048132052448900?- 40,048,132,052,448,900 seconds is equal to 1,273,406,722 years, 13 weeks, 4 days, 8 hours, 15 minutes.
-
To count from 1 to 40,048,132,052,448,900 would take you about three billion, eight hundred twenty million, two hundred twenty thousand, one hundred sixty-six 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 40048132052448900 cubic inches would be around 28511 feet tall.
Recreational maths with 40048132052448900
- 40048132052448900 backwards is 00984425023184004
- 40048132052448900 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40048132052448900's digits is 54
- More coming soon!
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"Number 40048132052448900 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 40048132052448900 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/40048132052448900/
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The information we have on file for 40048132052448900 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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