40090441931920000
40,090,441,931,920,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 40090441931920000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 640 divisors.
40090441931920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 40090441931920000:
27 × 54 × 31 × 181 × 607 × 147137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 31 × 181 × 607 × 147137)See below for interesting mathematical facts about the number 40090441931920000 from the Numbermatics database.
Names of 40090441931920000
- Cardinal: 40090441931920000 can be written as Forty quadrillion, ninety trillion, four hundred forty-one billion, nine hundred thirty-one million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 4.009044193192 × 1016
Factors of 40090441931920000
Divisors of 40090441931920000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 181 200 248 250 310 320 362 400 496 500 607 620 625 640 724 775 800 905 992 1000 1214 1240 1250 1448 1550 1600 1810 1984 2000 2428 2480 2500 2896 3035 3100 3200 3620 3875 3968 4000 4525 4856 4960 5000 5611 5792 6070 6200 7240 7750 8000 9050 9712 9920 10000 11222 11584 12140 12400 14480 15175 15500 16000 18100 18817 19375 19424 19840 20000 22444 22625 23168 24280 24800 28055 28960 30350 31000 36200 37634 38750 38848 40000 44888 45250 48560 49600 56110 57920 60700 62000 72400 75268 75875 77500 77696 80000 89776 90500 94085 97120 99200 109867 112220 113125 115840 121400 124000 140275 144800 147137 150536 151750 155000 179552 181000 188170 194240 219734 224440 226250 242800 248000 280550 289600 294274 301072 303500 310000 359104 362000 376340 379375 388480 439468 448880 452500 470425 485600 496000 549335 561100 579200 588548 602144 607000 620000 701375 718208 724000 735685 752680 758750 878936 897760 905000 940850 971200 1098670 1122200 1177096 1204288 1214000 1240000 1402750 1448000 1471370 1505360 1517500 1757872 1795520 1810000 1881700 1942400 2197340 2244400 2352125 2354192 2408576 2428000 2480000 2746675 2805500 2896000 2942740 3010720 3035000 3405877 3506875 3515744 3591040 3620000 3678425 3763400 4394680 4488800 4561247 4704250 4708384 4856000 5493350 5611000 5885480 6021440 6070000 6811754 7013750 7031488 7240000 7356850 7526800 8789360 8977600 9122494 9408500 9416768 9712000 10986700 11222000 11760625 11770960 12042880 12140000 13623508 13733375 14027500 14062976 14480000 14713700 15053600 17029385 17578720 17955200 18244988 18392125 18817000 18833536 21973400 22444000 22806235 23521250 23541920 24280000 26631797 27247016 27466750 28055000 29427400 30107200 34058770 35157440 36489976 36784250 37634000 43946800 44888000 45612470 47042500 47083840 48560000 53263594 54494032 54933500 56110000 58854800 60214400 68117540 68666875 70314880 72979952 73568500 75268000 85146925 87893600 89312159 89776000 91224940 91960625 94085000 94167680 106527188 108988064 109867000 112220000 114031175 117709600 133158985 136235080 137333750 145959904 147137000 150536000 170293850 175787200 178624318 182449880 183921250 188170000 213054376 217976128 219734000 224440000 228062350 235419200 266317970 272470160 274667500 291919808 294274000 301072000 340587700 351574400 357248636 364899760 367842500 376340000 425734625 426108752 435952256 439468000 446560795 448880000 456124700 470838400 532635940 544940320 549335000 570155875 583839616 588548000 665794925 681175400 714497272 729799520 735685000 752680000 825585707 851469250 852217504 878936000 893121590 912249400 1065271880 1089880640 1098670000 1140311750 1177096000 1331589850 1362350800 1428994544 1459599040 1471370000 1505360000 1651171414 1702938500 1704435008 1757872000 1786243180 1824498800 2128673125 2130543760 2179761280 2197340000 2232803975 2280623500 2354192000 2663179700 2724701600 2768676929 2850779375 2857989088 2919198080 2942740000 3302342828 3328974625 3405877000 3408870016 3572486360 3648997600 4127928535 4257346250 4261087520 4394680000 4465607950 4561247000 5326359400 5449403200 5537353858 5701558750 5715978176 5885480000 6604685656 6657949250 6811754000 7144972720 7297995200 8255857070 8514692500 8522175040 8789360000 8931215900 9122494000 10652718800 10898806400 11074707716 11164019875 11403117500 11431956352 11770960000 13209371312 13315898500 13623508000 13843384645 14289945440 14595990400 16165500779 16511714140 16644873125 17029385000 17044350080 17862431800 18244988000 20639642675 21305437600 22149415432 22328039750 22806235000 26418742624 26631797000 27247016000 27686769290 28579890880 32331001558 33023428280 33289746250 34058770000 35724863600 36489976000 41279285350 42610875200 44298830864 44656079500 45612470000 52837485248 53263594000 54494032000 55373538580 55820099375 57159781760 64662003116 66046856560 66579492500 68117540000 69216923225 71449727200 72979952000 80827503895 82558570700 85221750400 88597661728 89312159000 91224940000 103198213375 105674970496 106527188000 110747077160 111640198750 129324006232 132093713120 133158985000 136235080000 138433846450 142899454400 161655007790 165117141400 177195323456 178624318000 182449880000 206396426750 213054376000 221494154320 223280397500 258648012464 264187426240 266317970000 272470160000 276867692900 285798908800 323310015580 330234282800 346084616125 354390646912 357248636000 364899760000 404137519475 412792853500 426108752000 442988308640 446560795000 501130524149 515991066875 517296024928 528374852480 532635940000 553735385800 646620031160 660468565600 692169232250 714497272000 808275038950 825585707000 885976617280 893121590000 1002261048298 1031982133750 1034592049856 1065271880000 1107470771600 1293240062320 1320937131200 1384338464500 1428994544000 1616550077900 1651171414000 1730423080625 1771953234560 1786243180000 2004522096596 2020687597375 2063964267500 2069184099712 2130543760000 2214941543200 2505652620745 2586480124640 2641874262400 2768676929000 3233100155800 3302342828000 3460846161250 3572486360000 4009044193192 4041375194750 4127928535000 4429883086400 5011305241490 5172960249280 5537353858000 6466200311600 6604685656000 6921692322500 7144972720000 8018088386384 8082750389500 8255857070000 8859766172800 10022610482980 10103437986875 10345920498560 11074707716000 12528263103725 12932400623200 13209371312000 13843384645000 16036176772768 16165500779000 16511714140000 20045220965960 20206875973750 22149415432000 25056526207450 25864801246400 27686769290000 32072353545536 32331001558000 33023428280000 40090441931920 40413751947500 44298830864000 50113052414900 51729602492800 55373538580000 62641315518625 64144707091072 64662003116000 66046856560000 80180883863840 80827503895000 100226104829800 110747077160000 125282631037250 129324006232000 160361767727680 161655007790000 200452209659600 221494154320000 250565262074500 258648012464000 313206577593125 320723535455360 323310015580000 400904419319200 501130524149000 626413155186250 646620031160000 801808838638400 1002261048298000 1252826310372500 1293240062320000 1603617677276800 2004522096596000 2505652620745000 4009044193192000 5011305241490000 8018088386384000 10022610482980000 20045220965960000 40090441931920000
- Sum of all divisors σ(n): 103762638942842880
- Sum of proper divisors (its aliquot sum) s(n): 63672197010922880
- 40090441931920000 is an abundant number, because the sum of its proper divisors (63672197010922880) is greater than itself. Its abundance is 23581755079002880
Bases of 40090441931920000
- Binary: 100011100110111000001011011001100011110110010010100000002
- Hexadecimal: 0x8E6E0B663D9280
- Base-36: AYQVIRPQ8HS
Squares and roots of 40090441931920000
- 40090441931920000 squared (400904419319200002) is 1607243534296649421914886400000000
- 40090441931920000 cubed (400904419319200003) is 64435103582173694628696389511823333888000000000000
-
The
square root of 40090441931920000 is 200225977.1656015667 -
The
cube root of 40090441931920000 is 342252.7511930895
Scales and comparisons
How big is 40090441931920000?- 40,090,441,931,920,000 seconds is equal to 1,274,752,045 years, 28 weeks, 6 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 40,090,441,931,920,000 would take you about three billion, eight hundred twenty-four million, two hundred fifty-six thousand, one hundred thirty-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 40090441931920000 cubic inches would be around 28521.1 feet tall.
Recreational maths with 40090441931920000
- 40090441931920000 backwards is 00002913914409004
- The number of decimal digits it has is: 17
- The sum of 40090441931920000's digits is 46
- More coming soon!
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