1038140144000
1,038,140,144,000 is an even composite number composed of six prime numbers multiplied together.
1038140144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 1038140144000:
27 × 53 × 23 × 29 × 89 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 29 × 89 × 1093)See below for interesting mathematical facts about the number 1038140144000 from the Numbermatics database.
Names of 1038140144000
- Cardinal: 1038140144000 can be written as One trillion, thirty-eight billion, one hundred forty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.038140144 × 1012
Factors of 1038140144000
Divisors of 1038140144000
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 29 32 40 46 50 58 64 80 89 92 100 115 116 125 128 145 160 178 184 200 230 232 250 290 320 356 368 400 445 460 464 500 575 580 640 667 712 725 736 800 890 920 928 1000 1093 1150 1160 1334 1424 1450 1472 1600 1780 1840 1856 2000 2047 2186 2225 2300 2320 2581 2668 2848 2875 2900 2944 3200 3335 3560 3625 3680 3712 4000 4094 4372 4450 4600 4640 5162 5336 5465 5696 5750 5800 6670 7120 7250 7360 8000 8188 8744 8900 9200 9280 10235 10324 10672 10930 11125 11392 11500 11600 12905 13340 14240 14500 14720 16000 16376 16675 17488 17800 18400 18560 20470 20648 21344 21860 22250 23000 23200 25139 25810 26680 27325 28480 29000 31697 32752 33350 34976 35600 36800 40940 41296 42688 43720 44500 46000 46400 50278 51175 51620 53360 54650 56960 58000 59363 63394 64525 65504 66700 69952 71200 73600 81880 82592 83375 85376 87440 89000 92000 92800 97277 100556 102350 103240 106720 109300 116000 118726 125695 126788 129050 131008 133400 136625 139904 142400 158485 163760 165184 166750 174880 178000 184000 194554 201112 204700 206480 213440 218600 232000 237452 251390 253576 255875 258100 262016 266800 273250 284800 296815 316970 322625 327520 330368 333500 349760 356000 368000 389108 402224 409400 412960 426880 437200 464000 474904 486385 502780 507152 511750 516200 533600 546500 593630 628475 633940 645250 655040 667000 699520 712000 729031 778216 792425 804448 818800 825920 874400 949808 972770 1005560 1014304 1023500 1032400 1067200 1093000 1187260 1256950 1267880 1290500 1310080 1334000 1424000 1458062 1484075 1556432 1584850 1608896 1637600 1651840 1748800 1899616 1945540 2011120 2028608 2047000 2064800 2134400 2186000 2237371 2374520 2431925 2513900 2535760 2581000 2668000 2821033 2916124 2968150 3112864 3142375 3169700 3217792 3275200 3497600 3645155 3799232 3891080 3962125 4022240 4057216 4094000 4129600 4372000 4474742 4749040 4863850 5027800 5071520 5162000 5336000 5642066 5832248 5936300 6225728 6284750 6339400 6550400 7290310 7420375 7598464 7782160 7924250 8044480 8188000 8259200 8744000 8949484 9498080 9727700 10055600 10143040 10324000 10672000 11186855 11284132 11664496 11872600 12159625 12451456 12569500 12678800 14105165 14580620 14840750 15564320 15848500 16088960 16376000 17488000 17898968 18225775 18996160 19455400 20111200 20286080 20648000 22373710 22568264 23328992 23745200 24319250 25139000 25357600 28210330 29161240 29681500 31128640 31697000 32752000 35797936 36451550 37992320 38910800 40222400 41296000 44747420 45136528 46657984 47490400 48638500 50278000 50715200 55934275 56420660 58322480 59363000 62257280 63394000 64883759 70525825 71595872 72903100 77821600 80444800 89494840 90273056 91128875 93315968 94980800 97277000 100556000 101430400 111868550 112841320 116644960 118726000 126788000 129767518 141051650 143191744 145806200 155643200 178989680 180546112 182257750 189961600 194554000 201112000 223737100 225682640 233289920 237452000 253576000 259535036 279671375 282103300 286383488 291612400 311286400 324418795 352629125 357979360 361092224 364515500 389108000 402224000 447474200 451365280 466579840 474904000 507152000 519070072 559342750 564206600 583224800 648837590 705258250 715958720 729031000 778216000 894948400 902730560 949808000 1038140144 1118685500 1128413200 1166449600 1297675180 1410516500 1431917440 1458062000 1556432000 1622093975 1789896800 1805461120 2076280288 2237371000 2256826400 2332899200 2595350360 2821033000 2916124000 3244187950 3579793600 4152560576 4474742000 4513652800 5190700720 5642066000 5832248000 6488375900 7159587200 8110469875 8305121152 8949484000 9027305600 10381401440 11284132000 11664496000 12976751800 16220939750 17898968000 20762802880 22568264000 25953503600 32441879500 35797936000 41525605760 45136528000 51907007200 64883759000 103814014400 129767518000 207628028800 259535036000 519070072000 1038140144000
- Sum of all divisors σ(n): 2820051936000
- Sum of proper divisors (its aliquot sum) s(n): 1781911792000
- 1038140144000 is an abundant number, because the sum of its proper divisors (1781911792000) is greater than itself. Its abundance is 743771648000
Bases of 1038140144000
- Binary: 11110001101101011111100101111001100000002
- Hexadecimal: 0xF1B5F97980
- Base-36: D8WXU5Q8
Squares and roots of 1038140144000
- 1038140144000 squared (10381401440002) is 1077734958584340736000000
- 1038140144000 cubed (10381401440003) is 1118839925098581527816105984000000000
-
The
square root of 1038140144000 is 1018891.6252477493 -
The
cube root of 1038140144000 is 10125.5509132741
Scales and comparisons
How big is 1038140144000?- 1,038,140,144,000 seconds is equal to 33,009 years, 33 weeks, 3 days, 22 hours, 13 minutes, 20 seconds.
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To count from 1 to 1,038,140,144,000 would take you about eighty-two thousand, five hundred twenty-four 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 1038140144000 cubic inches would be around 843.8 feet tall.
Recreational maths with 1038140144000
- 1038140144000 backwards is 0004410418301
- The number of decimal digits it has is: 13
- The sum of 1038140144000's digits is 26
- More coming soon!
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