10142911324000
10,142,911,324,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 10142911324000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
10142911324000 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 10142911324000:
25 × 53 × 7 × 13 × 131 × 347 × 613
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 131 × 347 × 613)See below for interesting mathematical facts about the number 10142911324000 from the Numbermatics database.
Names of 10142911324000
- Cardinal: 10142911324000 can be written as Ten trillion, one hundred forty-two billion, nine hundred eleven million, three hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.0142911324 × 1013
Factors of 10142911324000
Divisors of 10142911324000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 125 130 131 140 160 175 182 200 208 224 250 260 262 280 325 347 350 364 400 416 455 500 520 524 560 613 650 655 694 700 728 800 875 910 917 1000 1040 1048 1120 1226 1300 1310 1388 1400 1456 1625 1703 1735 1750 1820 1834 2000 2080 2096 2275 2429 2452 2600 2620 2776 2800 2912 3065 3250 3275 3406 3470 3500 3640 3668 4000 4192 4291 4511 4550 4585 4858 4904 5200 5240 5552 5600 6130 6500 6550 6812 6940 7000 7280 7336 7969 8515 8582 8675 9022 9100 9170 9716 9808 10400 10480 11104 11375 11921 12145 12260 13000 13100 13624 13880 14000 14560 14672 15325 15938 16375 17030 17164 17350 18044 18200 18340 19432 19616 20960 21455 22555 22750 22925 23842 24290 24520 26000 26200 27248 27760 28000 29344 30650 31577 31876 32750 34060 34328 34700 36088 36400 36680 38864 39845 42575 42910 43375 45110 45457 45500 45850 47684 48580 49040 52000 52400 54496 55520 55783 59605 60725 61300 63154 63752 65500 68120 68656 69400 72176 72800 73360 76625 77728 79690 80303 85150 85820 86750 90220 90914 91000 91700 95368 97160 98080 104800 107275 111566 112775 114625 119210 121450 122600 126308 127504 131000 136240 137312 138800 144352 146720 153250 157885 159380 160606 170300 171640 173500 180440 181828 182000 183400 190736 194320 199225 212711 212875 214550 223132 225550 227285 229250 238420 242900 245200 252616 255008 262000 272480 277600 278915 298025 303625 306500 315770 318199 318760 321212 340600 343280 347000 360880 363656 364000 366800 381472 388640 398450 401515 425422 425750 429100 446264 451100 454570 458500 476840 485800 490400 505232 524000 536375 557830 562121 563875 590941 596050 607250 613000 631540 636398 637520 642424 681200 686560 694000 721760 727312 733600 789425 796900 803030 850844 851500 858200 892528 902200 909140 917000 953680 971600 996125 1010464 1043939 1063555 1072750 1115660 1124242 1127750 1136425 1181882 1192100 1214500 1226000 1263080 1272796 1275040 1284848 1362400 1388000 1394575 1454624 1488977 1490125 1578850 1590995 1593800 1606060 1701688 1703000 1716400 1785056 1804400 1818280 1834000 1907360 1943200 1992250 2007575 2087878 2127110 2145500 2231320 2248484 2255500 2272850 2363764 2384200 2429000 2452000 2526160 2545592 2569696 2765243 2789150 2810605 2954705 2977954 2980250 3157700 3181990 3187600 3212120 3403376 3406000 3432800 3608800 3636560 3668000 3947125 3984500 4015150 4136587 4175756 4254220 4291000 4462640 4496968 4511000 4545700 4727528 4768400 4858000 5052320 5091184 5219695 5317775 5530486 5578300 5621210 5682125 5909410 5955908 5960500 6315400 6363980 6375200 6424240 6806752 6812000 6972875 7273120 7307573 7444885 7894250 7954975 7969000 8030300 8273174 8351512 8508440 8582000 8925280 8993936 9022000 9091400 9455056 9536800 9716000 10037875 10182368 10439390 10635550 11060972 11156600 11242420 11364250 11818820 11911816 11921000 12630800 12727960 12848480 13826215 13945750 14053025 14615146 14773525 14889770 15788500 15909950 15938000 16060600 16546348 16703024 17016880 17164000 17987872 18044000 18182800 18910112 19356701 20075750 20682935 20878780 21271100 22121944 22313200 22484840 22728500 23637640 23823632 23842000 25261600 25455920 26098475 26588875 27652430 27865141 27891500 28106050 29230292 29547050 29779540 31577000 31819900 31876000 32121200 33092696 33406048 34033760 36365600 36537865 37224425 38713402 39774875 40151500 41365870 41757560 42542200 44243888 44626400 44969680 45457000 47275280 47647264 47684000 50911840 52196950 53177750 55304860 55730282 55783000 56212100 58460584 59094100 59559080 63154000 63639800 64242400 66185392 69131075 70265125 73075730 73867625 74448850 77426804 79549750 80303000 82731740 83515120 85084400 88487776 89939360 90914000 94550560 96783505 103414675 104393900 106355500 110609720 111460564 111566000 112424200 116921168 118188200 119118160 126308000 127279600 130492375 132370784 138262150 139325705 140530250 146151460 147735250 148897700 154853608 159099500 160606000 165463480 167030240 170168800 181828000 182689325 186122125 193567010 195055987 206829350 208787800 212711000 221219440 222921128 223132000 224848400 233842336 236376400 238236320 254559200 260984750 276524300 278651410 281060500 292302920 295470500 297795400 309707216 318199000 321212000 330926960 345655375 362246833 365378650 372244250 387134020 390111974 413658700 417575600 425422000 442438880 445842256 449696800 472752800 483917525 517073375 521969500 553048600 557302820 562121000 584605840 590941000 595590800 619414432 636398000 661853920 691310750 696628525 724493666 730757300 744488500 774268040 780223948 827317400 835151200 850844000 891684512 913446625 967835050 975279935 1034146750 1043939000 1106097200 1114605640 1124242000 1169211680 1181882000 1191181600 1272796000 1382621500 1393257050 1448987332 1461514600 1488977000 1548536080 1560447896 1654634800 1811234165 1826893250 1935670100 1950559870 2068293500 2087878000 2212194400 2229211280 2248484000 2363764000 2419587625 2535727831 2765243000 2786514100 2897974664 2923029200 2977954000 3097072160 3120895792 3309269600 3483142625 3622468330 3653786500 3871340200 3901119740 4136587000 4175756000 4458422560 4839175250 4876399675 5071455662 5530486000 5573028200 5795949328 5846058400 5955908000 6241791584 6966285250 7244936660 7307573000 7742680400 7802239480 8273174000 9056170825 9678350500 9752799350 10142911324 11060972000 11146056400 11591898656 12678639155 13932570500 14489873320 14615146000 15485360800 15604478960 16546348000 18112341650 19356701000 19505598700 20285822648 22292112800 24381998375 25357278310 27865141000 28979746640 29230292000 31208957920 36224683300 38713402000 39011197400 40571645296 45280854125 48763996750 50714556620 55730282000 57959493280 63393195775 72449366600 77426804000 78022394800 81143290592 90561708250 97527993500 101429113240 111460564000 126786391550 144898733200 156044789600 181123416500 195055987000 202858226480 253572783100 289797466400 316965978875 362246833000 390111974000 405716452960 507145566200 633931957750 724493666000 780223948000 1014291132400 1267863915500 1448987332000 2028582264800 2535727831000 5071455662000 10142911324000
- Sum of all divisors σ(n): 31045933062144
- Sum of proper divisors (its aliquot sum) s(n): 20903021738144
- 10142911324000 is an abundant number, because the sum of its proper divisors (20903021738144) is greater than itself. Its abundance is 10760110414144
Bases of 10142911324000
- Binary: 100100111001100101001010000001011111011000002
- Hexadecimal: 0x93994A05F60
- Base-36: 3LFL7IQ1S
Squares and roots of 10142911324000
- 10142911324000 squared (101429113240002) is 102878650126527432976000000
- 10142911324000 cubed (101429113240003) is 1043489025366189132728921420224000000000
-
The
square root of 10142911324000 is 3184793.7647514949 -
The
cube root of 10142911324000 is 21646.4928788105
Scales and comparisons
How big is 10142911324000?- 10,142,911,324,000 seconds is equal to 322,513 years, 10 weeks, 4 days, 23 hours, 46 minutes, 40 seconds.
-
To count from 1 to 10,142,911,324,000 would take you about eight hundred six thousand, two hundred eighty-three 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 10142911324000 cubic inches would be around 1803.9 feet tall.
Recreational maths with 10142911324000
- 10142911324000 backwards is 00042311924101
- 10142911324000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10142911324000's digits is 28
- More coming soon!
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