1142138044320
1,142,138,044,320 is an even composite number composed of seven prime numbers multiplied together.
1142138044320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 1142138044320:
25 × 3 × 5 × 72 × 133 × 23 × 312
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 13 × 13 × 23 × 31 × 31)See below for interesting mathematical facts about the number 1142138044320 from the Numbermatics database.
Names of 1142138044320
- Cardinal: 1142138044320 can be written as One trillion, one hundred forty-two billion, one hundred thirty-eight million, forty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.14213804432 × 1012
Factors of 1142138044320
Divisors of 1142138044320
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 23 24 26 28 30 31 32 35 39 40 42 46 48 49 52 56 60 62 65 69 70 78 80 84 91 92 93 96 98 104 105 112 115 120 124 130 138 140 147 155 156 160 161 168 169 182 184 186 195 196 208 210 217 224 230 240 245 248 260 273 276 280 294 299 310 312 322 336 338 345 364 368 372 390 392 403 416 420 434 455 460 465 480 483 490 496 507 520 546 552 560 588 598 620 624 637 644 651 672 676 690 713 728 735 736 744 780 784 805 806 840 845 868 897 910 920 930 961 966 980 992 1014 1040 1085 1092 1104 1120 1127 1176 1183 1196 1209 1240 1248 1274 1288 1302 1352 1365 1380 1426 1456 1470 1488 1495 1519 1560 1568 1610 1612 1680 1690 1736 1794 1820 1840 1860 1911 1922 1932 1960 2015 2028 2080 2093 2139 2170 2184 2197 2208 2254 2352 2366 2392 2415 2418 2480 2535 2548 2576 2604 2704 2730 2760 2821 2852 2883 2912 2940 2976 2990 3038 3120 3185 3220 3224 3255 3360 3380 3381 3472 3549 3565 3588 3640 3680 3720 3822 3844 3864 3887 3920 4030 4056 4186 4278 4340 4368 4394 4485 4508 4557 4704 4732 4784 4805 4830 4836 4960 4991 5070 5096 5152 5208 5239 5408 5460 5520 5635 5642 5704 5766 5880 5915 5980 6045 6076 6240 6279 6370 6440 6448 6510 6591 6727 6760 6762 6944 7098 7130 7176 7280 7440 7595 7644 7688 7728 7774 7840 8060 8112 8281 8372 8463 8556 8680 8736 8788 8970 9016 9114 9269 9464 9555 9568 9610 9660 9672 9982 10140 10192 10416 10465 10478 10695 10920 10985 11040 11270 11284 11408 11532 11661 11760 11830 11960 12090 12152 12493 12558 12740 12880 12896 13020 13182 13454 13520 13524 14105 14196 14260 14352 14415 14560 14651 14880 14973 15190 15288 15376 15379 15456 15548 15717 16120 16224 16562 16744 16905 16926 17112 17360 17576 17745 17940 18032 18228 18538 18928 19110 19220 19320 19344 19435 19747 19964 20181 20280 20384 20832 20930 20956 21390 21840 21970 22103 22540 22568 22785 22816 23064 23322 23520 23660 23920 24180 24304 24843 24955 24986 25116 25480 25760 26040 26195 26364 26908 27040 27048 27209 27807 28210 28392 28520 28704 28830 29302 29946 30380 30576 30752 30758 31096 31395 31434 32240 32955 33124 33488 33635 33810 33852 34224 34720 34937 35152 35490 35880 36064 36456 36673 37076 37479 37856 38220 38440 38640 38688 38870 39494 39928 40362 40560 41405 41860 41912 42315 42780 43680 43940 43953 44206 45080 45136 45570 46128 46137 46345 46644 47089 47320 47840 48360 48608 49686 49910 49972 50232 50531 50960 52080 52390 52728 53816 54096 54418 55614 56420 56784 57040 57660 58305 58604 59241 59892 60760 61152 61516 62192 62465 62790 62868 64480 64883 65910 66248 66309 66976 67270 67620 67704 68107 68448 69874 70304 70980 71760 72912 73255 73346 74152 74865 74958 76440 76880 76895 77280 77740 78585 78988 79856 80724 81120 81627 82810 83720 83824 84630 85560 87451 87880 87906 88412 90160 90272 91140 92256 92274 92690 93288 94178 94640 96720 98735 99372 99820 99944 100464 100905 101062 101920 104160 104780 104811 105456 107632 107653 108192 108836 110019 110515 111228 112840 113568 114080 115320 116610 117208 118482 119784 120497 121520 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533958880 545694240 549104829 563184440 566817888 582723492 591168760 594244560 597665120 614052712 620727198 627548376 636643280 657913620 675821328 679844074 708522360 709402512 728404365 732139772 751901280 763971936 767565890 776964656 784435470 800938320 827636264 836731168 844776660 877218160 886753140 896497680 915174715 921079068 944696480 954964920 965459040 971205820 1013432160 1019766111 1034545330 1045913960 1052661792 1098209658 1126368880 1151348835 1165446984 1182337520 1188489120 1228105424 1241454396 1255096752 1273286560 1315827240 1351642656 1359688148 1417044720 1418805024 1456808730 1464279544 1535131780 1551817995 1553929312 1568870940 1601876640 1655272528 1689553320 1699610185 1754436320 1773506280 1792995360 1830349430 1842158136 1909929840 1942411640 2039532222 2069090660 2091827920 2196419316 2252737760 2302697670 2330893968 2364675040 2379454259 2456210848 2482908792 2510193504 2631654480 2719376296 2745524145 2834089440 2913617460 2928559088 3070263560 3103635990 3137741880 3310545056 3379106640 3399220370 3547012560 3660698860 3684316272 3819859680 3884823280 4079064444 4138181320 4183655840 4392838632 4605395340 4661787936 4758908518 4965817584 5098830555 5263308960 5438752592 5491048290 5827234920 5857118176 6140527120 6207271980 6275483760 6758213280 6798440740 7094025120 7138362777 7321397720 7368632544 7769646560 8158128888 8276362640 8785677264 9210790680 9517817036 9931635168 10197661110 10877505184 10982096580 11654469840 11897271295 12281054240 12414543960 12550967520 13596881480 14276725554 14642795440 16316257776 16552725280 17571354528 18421581360 19035634072 20395322220 21964193160 23308939680 23794542590 24829087920 27193762960 28553451108 29285590880 32632515552 35691813885 36843162720 38071268144 40790644440 43928386320 47589085180 49658175840 54387525920 57106902216 71383627770 76142536288 81581288880 87856772640 95178170360 114213804432 142767255540 163162577760 190356340720 228427608864 285534511080 380712681440 571069022160 1142138044320
- Sum of all divisors σ(n): 4888370269440
- Sum of proper divisors (its aliquot sum) s(n): 3746232225120
- 1142138044320 is an abundant number, because the sum of its proper divisors (3746232225120) is greater than itself. Its abundance is 2604094180800
Bases of 1142138044320
- Binary: 100001001111011001011101101111111101000002
- Hexadecimal: 0x109ECBB7FA0
- Base-36: EKOVI36O
Squares and roots of 1142138044320
- 1142138044320 squared (11421380443202) is 1304479312283114284262400
- 1142138044320 cubed (11421380443203) is 1489895450586934702786514089709568000
-
The
square root of 1142138044320 is 1068708.5871836157 -
The
cube root of 1142138044320 is 10452.9658769289
Scales and comparisons
How big is 1142138044320?- 1,142,138,044,320 seconds is equal to 36,316 years, 23 weeks, 5 days, 7 hours, 52 minutes.
-
To count from 1 to 1,142,138,044,320 would take you about ninety thousand, seven hundred ninety-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 1142138044320 cubic inches would be around 871.1 feet tall.
Recreational maths with 1142138044320
- 1142138044320 backwards is 0234408312411
- The number of decimal digits it has is: 13
- The sum of 1142138044320's digits is 33
- More coming soon!
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"Number 1142138044320 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 1142138044320 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/1142138044320/
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The information we have on file for 1142138044320 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 1142138044320, math, Factors of 1142138044320, curriculum, school, college, exams, university, Prime factorization of 1142138044320, STEM, science, technology, engineering, physics, economics, calculator, one trillion, one hundred forty-two billion, one hundred thirty-eight million, forty-four thousand, three hundred twenty.