42408422272203840
42,408,422,272,203,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 42408422272203840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
42408422272203840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 42408422272203840:
26 × 34 × 5 × 173 × 1972 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 17 × 17 × 197 × 197 × 8581)See below for interesting mathematical facts about the number 42408422272203840 from the Numbermatics database.
Names of 42408422272203840
- Cardinal: 42408422272203840 can be written as Forty-two quadrillion, four hundred eight trillion, four hundred twenty-two billion, two hundred seventy-two million, two hundred three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.240842227220384 × 1016
Factors of 42408422272203840
Divisors of 42408422272203840
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 81 85 90 96 102 108 120 135 136 144 153 160 162 170 180 192 197 204 216 240 255 270 272 288 289 306 320 324 340 360 394 405 408 432 459 480 510 540 544 576 578 591 612 648 680 720 765 788 810 816 864 867 918 960 985 1020 1080 1088 1156 1182 1224 1296 1360 1377 1440 1445 1530 1576 1620 1632 1728 1734 1773 1836 1970 2040 2160 2295 2312 2364 2448 2592 2601 2720 2754 2880 2890 2955 3060 3152 3240 3264 3349 3468 3546 3672 3940 4080 4320 4335 4590 4624 4728 4896 4913 5184 5202 5319 5440 5508 5780 5910 6120 6304 6480 6698 6885 6936 7092 7344 7803 7880 8160 8581 8640 8670 8865 9180 9248 9456 9792 9826 10047 10404 10638 11016 11560 11820 12240 12608 12960 13005 13396 13770 13872 14184 14688 14739 15606 15760 15957 16320 16745 17162 17340 17730 18360 18496 18912 19652 20094 20808 21276 22032 23120 23409 23640 24480 24565 25743 25920 26010 26595 26792 27540 27744 28368 29376 29478 30141 31212 31520 31914 33490 34324 34680 35460 36720 37824 38809 39015 39304 40188 41616 42552 42905 44064 44217 46240 46818 47280 48960 49130 50235 51486 52020 53190 53584 55080 55488 56736 56933 58956 60282 62424 63040 63828 66980 68648 69360 70920 73440 73695 77229 77618 78030 78608 79785 80376 83232 85104 85810 88128 88434 90423 92480 93636 94560 98260 100470 102972 104040 106380 107168 110160 113472 113866 116427 117045 117912 120564 124848 127656 128715 132651 133960 137296 138720 141840 145877 146880 147390 150705 154458 155236 156060 157216 159570 160752 166464 170208 170799 171620 176868 180846 187272 189120 194045 196520 200940 205944 208080 212760 214336 220320 221085 227732 231687 232854 234090 235824 241128 249696 255312 257430 265302 267920 271269 274592 277440 283680 284665 291754 294780 301410 308916 310472 312120 314432 319140 321504 340416 341598 343240 349281 353736 361692 374544 386145 388090 393040 397953 401880 411888 416160 425520 437631 440640 442170 452115 455464 463374 465708 468180 471648 482256 499392 510624 512397 514860 530604 535840 542538 549184 567360 569330 582135 583508 589560 602820 617832 620944 624240 638280 643008 659753 663255 683196 686480 695061 698562 707472 723384 729385 749088 772290 776180 786080 795906 803760 823776 832320 851040 853995 875262 884340 904230 910928 926748 931416 936360 943296 964512 967861 1021248 1024794 1029720 1047843 1061208 1071680 1085076 1138660 1158435 1164270 1167016 1179120 1205640 1235664 1241888 1248480 1276560 1312893 1319506 1326510 1356345 1366392 1372960 1390122 1397124 1414944 1446768 1458770 1498176 1537191 1544580 1552360 1572160 1591812 1607520 1647552 1690457 1702080 1707990 1746405 1750524 1768680 1808460 1821856 1853496 1862832 1872720 1929024 1935722 1979259 1989765 2049588 2059440 2095686 2122416 2170152 2188155 2277320 2316870 2328540 2334032 2358240 2411280 2471328 2479909 2483776 2496960 2553120 2561985 2625786 2639012 2653020 2712690 2732784 2745920 2780244 2794248 2829888 2893536 2903583 2917540 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199325165784 203808257748 205922106360 211050175536 215796978792 218549420352 224240811507 226453619720 234500195040 239774420880 247106527632 248294324160 249156457230 254760322185 263812719420 265766887712 269746223490 271744343664 273186775440 274562808480 281400234048 287729305056 288728365143 290713561920 298987748676 305712386622 308883159540 316575263304 319699227840 329475370176 332208609640 339680429580 351750292560 359661631320 362325791552 364249033920 372441486240 373734685845 384971153524 395719079130 398650331568 407616515496 411844212720 422100351072 431593957584 448481623014 452907239440 458568579933 469000390080 479548841760 481213941905 494213055264 498312914460 509520644370 527625438840 531533775424 539492446980 543488687328 546373550880 549125616960 575458610112 577456730286 597975497352 611424773244 617766319080 633150526608 664417219280 672722434521 679360859160 703500585120 719323262640 744882972480 747469371690 764280966555 769942307048 791438158260 797300663136 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29450293244586 30797692281920 31182663435444 32722548049540 34647403817160 35878529841120 36685486394640 38978329294305 39267057659448 41576884580592 43054235809344 44175439866879 46196538422880 48913981859520 49083822074310 51971105725740 52356076879264 53817794761680 55435846107456 58900586489172 62365326870888 65445096099080 69294807634320 71757059682240 73370972789280 73625733111465 77956658588610 78534115318896 83153769161184 88350879733758 92393076845760 98167644148620 103942211451480 104712153758528 107635589523360 117801172978344 124730653741776 130890192198160 132526319600637 138589615268640 146741945578560 147251466222930 155913317177220 157068230637792 166307538322368 176701759467516 196335288297240 207884422902960 215271179046720 220877199334395 235602345956688 249461307483552 261780384396320 265052639201274 277179230537280 294502932445860 311826634354440 314136461275584 353403518935032 392670576594480 415768845805920 441754398668790 471204691913376 498922614967104 523560768792640 530105278402548 589005864891720 623653268708880 662631598003185 706807037870064 785341153188960 831537691611840 883508797337580 942409383826752 1060210556805096 1178011729783440 1247306537417760 1325263196006370 1413614075740128 1570682306377920 1767017594675160 2120421113610192 2356023459566880 2494613074835520 2650526392012740 2827228151480256 3534035189350320 4240842227220384 4712046919133760 5301052784025480 7068070378700640 8481684454440768 10602105568050960 14136140757401280 21204211136101920 42408422272203840
- Sum of all divisors σ(n): 161117199761308560
- Sum of proper divisors (its aliquot sum) s(n): 118708777489104720
- 42408422272203840 is an abundant number, because the sum of its proper divisors (118708777489104720) is greater than itself. Its abundance is 76300355216900880
Bases of 42408422272203840
- Binary: 100101101010101000111100010000010000010011111100010000002
- Hexadecimal: 0x96AA3C4104FC40
- Base-36: BLKJ48JUS00
Squares and roots of 42408422272203840
- 42408422272203840 squared (424084222722038402) is 1798474279617554707575890510745600
- 42408422272203840 cubed (424084222722038403) is 76270456695718863700097084617729427887713583104000
-
The
square root of 42408422272203840 is 205933052.8890489691 -
The
cube root of 42408422272203840 is 348725.7673163461
Scales and comparisons
How big is 42408422272203840?- 42,408,422,272,203,840 seconds is equal to 1,348,456,650 years, 20 weeks, 3 days, 2 hours, 24 minutes.
-
To count from 1 to 42,408,422,272,203,840 would take you about four billion, forty-five million, three hundred sixty-nine thousand, nine hundred fifty-one 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 42408422272203840 cubic inches would be around 29060.5 feet tall.
Recreational maths with 42408422272203840
- 42408422272203840 backwards is 04830227222480424
- 42408422272203840 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42408422272203840's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42408422272203840 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 42408422272203840 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/42408422272203840/
Chicago style:
Numbermatics. 2024. "Number 42408422272203840 - Facts about the integer". https://numbermatics.com/n/42408422272203840/
The information we have on file for 42408422272203840 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!
Keywords: Divisors of 42408422272203840, math, Factors of 42408422272203840, curriculum, school, college, exams, university, Prime factorization of 42408422272203840, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four hundred eight trillion, four hundred twenty-two billion, two hundred seventy-two million, two hundred three thousand, eight hundred forty.