145742516136000
145,742,516,136,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 145742516136000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4032 divisors.
145742516136000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 145742516136000:
26 × 33 × 53 × 72 × 19 × 61 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 19 × 61 × 109 × 109)See below for interesting mathematical facts about the number 145742516136000 from the Numbermatics database.
Names of 145742516136000
- Cardinal: 145742516136000 can be written as One hundred forty-five trillion, seven hundred forty-two billion, five hundred sixteen million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.45742516136 × 1014
Factors of 145742516136000
Divisors of 145742516136000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 49 50 54 56 57 60 61 63 64 70 72 75 76 80 84 90 95 96 98 100 105 108 109 112 114 120 122 125 126 133 135 140 144 147 150 152 160 168 171 175 180 183 189 190 192 196 200 210 216 218 224 225 228 240 244 245 250 252 266 270 280 285 288 294 300 304 305 315 320 327 336 342 350 360 366 375 378 380 392 399 400 420 427 432 436 441 448 450 456 475 480 488 490 500 504 513 525 532 540 545 549 560 570 576 588 600 608 610 630 654 665 672 675 684 700 720 732 735 750 756 760 763 784 798 800 840 854 855 864 872 875 882 900 912 915 931 945 950 960 976 980 981 1000 1008 1026 1050 1064 1080 1090 1098 1120 1125 1140 1159 1176 1197 1200 1216 1220 1225 1260 1281 1308 1323 1330 1344 1350 1368 1400 1425 1440 1464 1470 1500 1512 1520 1525 1526 1568 1575 1596 1600 1635 1647 1680 1708 1710 1728 1744 1750 1764 1800 1824 1830 1862 1890 1900 1952 1960 1962 1995 2000 2016 2052 2071 2100 2128 2135 2160 2180 2196 2205 2240 2250 2280 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319610781000 323872258080 325318116375 330481896000 334271826000 337366935500 341317368000 347005990800 364356290340 365269464000 371792133000 383532937200 385562212000 388646709696 398203596000 404840322600 416407188960 426147708000 433757488500 445695768000 455445362925 462674654400 477844315200 479416171500 485808387120 495722844000 506050403250 511377249600 520508986200 539787096800 547904196000 578343318000 582970064544 594867412800 597305394000 607260483900 639221562000 647744516160 650636232750 668543652000 674733871000 694011981600 728712580680 743584266000 759075604875 767065874400 771124424000 796407192000 809680645200 832814377920 852295416000 867514977000 910890725850 958832343000 971616774240 991445688000 1012100806500 1041017972400 1079574193600 1095808392000 1156686636000 1165940129088 1194610788000 1214520967800 1278443124000 1301272465500 1337087304000 1349467742000 1388023963200 1457425161360 1487168532000 1518151209750 1534131748800 1619361290400 1735029954000 1821781451700 1917664686000 1943233548480 2024201613000 2082035944800 2277226814625 2313373272000 2389221576000 2429041935600 2556886248000 2602544931000 2698935484000 2914850322720 2974337064000 3036302419500 3238722580800 3470059908000 3643562903400 3835329372000 4048403226000 4164071889600 4554453629250 4858083871200 5205089862000 5397870968000 5829700645440 6072604839000 6940119816000 7287125806800 7670658744000 8096806452000 9108907258500 9716167742400 10410179724000 12145209678000 14574251613600 16193612904000 18217814517000 20820359448000 24290419356000 29148503227200 36435629034000 48580838712000 72871258068000 145742516136000
- Sum of all divisors σ(n): 671645724422400
- Sum of proper divisors (its aliquot sum) s(n): 525903208286400
- 145742516136000 is an abundant number, because the sum of its proper divisors (525903208286400) is greater than itself. Its abundance is 380160692150400
Bases of 145742516136000
- Binary: 1000010010001101010100101110011100101000010000002
- Hexadecimal: 0x848D52E72840
- Base-36: 1FNT6R5AO0
Squares and roots of 145742516136000
- 145742516136000 squared (1457425161360002) is 21240881009652220370496000000
- 145742516136000 cubed (1457425161360003) is 3095699443292094699095241178323456000000000
-
The
square root of 145742516136000 is 12072386.5136931397 -
The
cube root of 145742516136000 is 52625.4013482141
Scales and comparisons
How big is 145742516136000?- 145,742,516,136,000 seconds is equal to 4,634,161 years, 10 weeks, 3 days, 12 hours.
-
To count from 1 to 145,742,516,136,000 would take you about eleven million, five hundred eighty-five thousand, four hundred 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 145742516136000 cubic inches would be around 4385.5 feet tall.
Recreational maths with 145742516136000
- 145742516136000 backwards is 000631615247541
- 145742516136000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 145742516136000's digits is 45
- More coming soon!
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MLA style:
"Number 145742516136000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 145742516136000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/145742516136000/
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The information we have on file for 145742516136000 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 145742516136000, math, Factors of 145742516136000, curriculum, school, college, exams, university, Prime factorization of 145742516136000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-five trillion, seven hundred forty-two billion, five hundred sixteen million, one hundred thirty-six thousand.