4038112068000
4,038,112,068,000 is an even composite number composed of seven prime numbers multiplied together.
4038112068000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 4038112068000:
25 × 3 × 53 × 17 × 37 × 191 × 2801
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 37 × 191 × 2801)See below for interesting mathematical facts about the number 4038112068000 from the Numbermatics database.
Names of 4038112068000
- Cardinal: 4038112068000 can be written as Four trillion, thirty-eight billion, one hundred twelve million, sixty-eight thousand.
Scientific notation
- Scientific notation: 4.038112068 × 1012
Factors of 4038112068000
Divisors of 4038112068000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 37 40 48 50 51 60 68 74 75 80 85 96 100 102 111 120 125 136 148 150 160 170 185 191 200 204 222 240 250 255 272 296 300 340 370 375 382 400 408 425 444 480 500 510 544 555 573 592 600 629 680 740 750 764 800 816 850 888 925 955 1000 1020 1110 1146 1184 1200 1258 1275 1360 1480 1500 1528 1632 1700 1776 1850 1887 1910 2000 2040 2125 2220 2292 2400 2516 2550 2720 2775 2801 2865 2960 3000 3056 3145 3247 3400 3552 3700 3774 3820 4000 4080 4250 4440 4584 4625 4775 5032 5100 5550 5602 5730 5920 6000 6112 6290 6375 6494 6800 7067 7400 7548 7640 8160 8403 8500 8880 9168 9250 9435 9550 9741 10064 10200 11100 11204 11460 12000 12580 12750 12988 13600 13875 14005 14134 14325 14800 15096 15280 15725 16235 16806 17000 17760 18336 18500 18870 19100 19482 20128 20400 21201 22200 22408 22920 23875 25160 25500 25976 27750 28010 28268 28650 29600 30192 30560 31450 32470 33612 34000 35335 37000 37740 38200 38964 40800 42015 42402 44400 44816 45840 47175 47617 47750 48705 50320 51000 51952 55500 56020 56536 57300 60384 62900 64940 67224 68000 70025 70670 71625 74000 75480 76400 77928 78625 81175 84030 84804 88800 89632 91680 94350 95234 95500 97410 100640 102000 103637 103904 106005 111000 112040 113072 114600 120139 125800 129880 134448 140050 141340 142851 143250 148000 150960 152800 155856 157250 162350 168060 169608 176675 188700 190468 191000 194820 204000 207274 210075 212010 222000 224080 226144 229200 235875 238085 240278 243525 251600 259760 268896 280100 282680 285702 286500 301920 310911 311712 314500 324700 336120 339216 350125 353350 360417 377400 380936 382000 389640 405875 414548 420150 424020 444000 448160 458400 471750 476170 480556 487050 503200 518185 519520 530025 534991 560200 565360 571404 573000 600695 621822 629000 649400 672240 678432 700250 706700 714255 720834 754800 761872 764000 779280 811750 829096 840300 848040 883375 943500 952340 961112 974100 1036370 1050375 1060050 1069982 1120400 1130720 1142808 1146000 1190425 1201390 1217625 1243644 1258000 1298800 1344480 1400500 1413400 1428510 1441668 1509600 1523744 1554555 1558560 1604973 1623500 1658192 1680600 1696080 1761829 1766750 1802085 1887000 1904680 1922224 1948200 2072740 2100750 2120100 2139964 2240800 2285616 2292000 2380850 2402780 2435250 2487288 2516000 2590925 2597600 2650125 2674955 2801000 2826800 2857020 2883336 3003475 3109110 3209946 3247000 3316384 3361200 3392160 3523658 3533500 3571275 3604170 3774000 3809360 3844448 3896400 4145480 4201500 4240200 4279928 4571232 4761700 4805560 4870500 4974576 5181850 5285487 5300250 5349910 5602000 5653600 5714040 5766672 5952125 6006950 6218220 6419892 6494000 6722400 7047316 7067000 7142550 7208340 7548000 7618720 7772775 7792800 8024865 8290960 8403000 8480400 8559856 8809145 9010425 9094847 9523400 9611120 9741000 9949152 10363700 10570974 10600500 10699820 11204000 11428080 11533344 11904250 12013900 12436440 12839784 12954625 12988000 13374775 14094632 14134000 14285100 14416680 15017375 15545550 16049730 16581920 16806000 16960800 17119712 17618290 17856375 18020850 18189694 19046800 19222240 19482000 19794667 20727400 21141948 21201000 21399640 22856160 23808500 24027800 24872880 25679568 25909250 26427435 26749550 27284541 28189264 28268000 28570200 28833360 30034750 31091100 32099460 33612000 35236580 35712750 36041700 36379388 38093600 38863875 38964000 39589334 40124325 41454800 42283896 42402000 42799280 44045725 45052125 45474235 47617000 48055600 49745760 51359136 51818500 52854870 53499100 54569082 56378528 57140400 57666720 59384001 60069500 62182200 64198920 66873875 70473160 71425500 72083400 72758776 77727750 79178668 80248650 82909600 84567792 84804000 85598560 88091450 90104250 90948470 95234000 96111200 98973335 103637000 105709740 106998200 109138164 114280800 118768002 120139000 124364400 128397840 132137175 133747750 136422705 140946320 142851000 144166800 145517552 155455500 158357336 160497300 169135584 176182900 180208500 181896940 190468000 197946670 200621625 207274000 211419480 213996400 218276328 220228625 227371175 237536004 240278000 248728800 256795680 264274350 267495500 272845410 281892640 285702000 288333600 291035104 296920005 310911000 316714672 320994600 336509339 352365800 360417000 363793880 395893340 401243250 414548000 422838960 427992800 436552656 440457250 454742350 475072008 480556000 494866675 528548700 534991000 545690820 571404000 593840010 621822000 633429344 641989200 660685875 673018678 682113525 704731600 720834000 727587760 791786680 802486500 845677920 873105312 880914500 909484700 950144016 989733350 1009528017 1057097400 1069982000 1091381640 1136855875 1187680020 1243644000 1283978400 1321371750 1346037356 1364227050 1409463200 1441668000 1455175520 1484600025 1583573360 1604973000 1682546695 1761829000 1818969400 1900288032 1979466700 2019056034 2114194800 2139964000 2182763280 2273711750 2375360040 2474333375 2642743500 2692074712 2728454100 2969200050 3167146720 3209946000 3365093390 3410567625 3523658000 3637938800 3958933400 4038112068 4228389600 4365526560 4547423500 4750720080 4948666750 5047640085 5285487000 5384149424 5456908200 5938400100 6419892000 6730186780 6821135250 7047316000 7275877600 7423000125 7917866800 8076224136 8412733475 9094847000 9501440160 9897333500 10095280170 10570974000 10768298848 10913816400 11876800200 13460373560 13642270500 14846000250 15835733600 16152448272 16825466950 18189694000 19794667000 20190560340 21141948000 21827632800 23753600400 25238200425 26920747120 27284541000 29692000500 32304896544 33650933900 36379388000 39589334000 40381120680 42063667375 47507200800 50476400850 53841494240 54569082000 59384001000 67301867800 79178668000 80762241360 84127334750 100952801700 109138164000 118768002000 126191002125 134603735600 161524482720 168254669500 201905603400 237536004000 252382004250 269207471200 336509339000 403811206800 504764008500 673018678000 807622413600 1009528017000 1346037356000 2019056034000 4038112068000
- Sum of all divisors σ(n): 14466071273472
- Sum of proper divisors (its aliquot sum) s(n): 10427959205472
- 4038112068000 is an abundant number, because the sum of its proper divisors (10427959205472) is greater than itself. Its abundance is 6389847137472
Bases of 4038112068000
- Binary: 1110101100001100100011110001000001101000002
- Hexadecimal: 0x3AC323C41A0
- Base-36: 1FJ2ZNWYO
Squares and roots of 4038112068000
- 4038112068000 squared (40381120680002) is 16306349073727236624000000
- 4038112068000 cubed (40381120680003) is 65846864979638575951665978432000000000
-
The
square root of 4038112068000 is 2009505.4287062775 -
The
cube root of 4038112068000 is 15924.2671879413
Scales and comparisons
How big is 4038112068000?- 4,038,112,068,000 seconds is equal to 128,399 years, 24 weeks, 4 days, 4 hours, 40 minutes.
-
To count from 1 to 4,038,112,068,000 would take you about three hundred twenty thousand, nine hundred ninety-eight 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 4038112068000 cubic inches would be around 1327 feet tall.
Recreational maths with 4038112068000
- 4038112068000 backwards is 0008602118304
- The number of decimal digits it has is: 13
- The sum of 4038112068000's digits is 33
- More coming soon!
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