42638935248000
42,638,935,248,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42638935248000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5760 divisors.
42638935248000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 42638935248000:
27 × 34 × 53 × 72 × 132 × 29 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 29 × 137)See below for interesting mathematical facts about the number 42638935248000 from the Numbermatics database.
Names of 42638935248000
- Cardinal: 42638935248000 can be written as Forty-two trillion, six hundred thirty-eight billion, nine hundred thirty-five million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.2638935248 × 1013
Factors of 42638935248000
Divisors of 42638935248000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 29 30 32 35 36 39 40 42 45 48 49 50 52 54 56 58 60 63 64 65 70 72 75 78 80 81 84 87 90 91 96 98 100 104 105 108 112 116 117 120 125 126 128 130 135 137 140 144 145 147 150 156 160 162 168 169 174 175 180 182 189 192 195 196 200 203 208 210 216 224 225 232 234 240 245 250 252 260 261 270 273 274 280 288 290 294 300 312 315 320 324 325 336 338 348 350 351 360 364 375 377 378 384 390 392 400 405 406 411 416 420 432 435 441 448 450 455 464 468 480 490 500 504 507 520 522 525 540 546 548 560 567 576 580 585 588 600 609 624 630 637 640 648 650 672 675 676 685 696 700 702 720 725 728 735 750 754 756 780 783 784 800 810 812 819 822 832 840 845 864 870 875 882 896 900 910 928 936 945 959 960 975 980 1000 1008 1014 1015 1040 1044 1050 1053 1080 1092 1096 1120 1125 1131 1134 1152 1160 1170 1176 1183 1200 1218 1225 1233 1248 1260 1274 1296 1300 1305 1323 1344 1350 1352 1365 1370 1392 1400 1404 1421 1440 1450 1456 1470 1500 1508 1512 1521 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304563823200 311233104000 315843964800 327991809600 333116681625 338404248000 341111481984 355324460400 364435344000 367577028000 380704779000 394804956000 406085097600 409989762000 426389352480 435091176000 444155575500 468559728000 473765947200 490102704000 507606372000 526406608000 532986690600 546653016000 568519136640 592207434000 609127646400 655983619200 666233363250 676808496000 710648920800 735154056000 761409558000 789609912000 819979524000 852778704960 870182352000 888311151000 947531894400 1015212744000 1065973381200 1093306032000 1184414868000 1218255292800 1332466726500 1421297841600 1470308112000 1522819116000 1579219824000 1639959048000 1705557409920 1776622302000 2030425488000 2131946762400 2368829736000 2664933453000 2842595683200 3045638232000 3279918096000 3553244604000 4263893524800 4737659472000 5329866906000 6091276464000 7106489208000 8527787049600 10659733812000 14212978416000 21319467624000 42638935248000
- Sum of all divisors σ(n): 207862638469200
- Sum of proper divisors (its aliquot sum) s(n): 165223703221200
- 42638935248000 is an abundant number, because the sum of its proper divisors (165223703221200) is greater than itself. Its abundance is 122584767973200
Bases of 42638935248000
- Binary: 10011011000111101001101001011011001100100000002
- Hexadecimal: 0x26C7A696CC80
- Base-36: F44215400
Squares and roots of 42638935248000
- 42638935248000 squared (426389352480002) is 1818078799083136821504000000
- 42638935248000 cubed (426389352480003) is 77520944189867472700833589972992000000000
-
The
square root of 42638935248000 is 6529849.5578382203 -
The
cube root of 42638935248000 is 34935.6464406939
Scales and comparisons
How big is 42638935248000?- 42,638,935,248,000 seconds is equal to 1,355,786 years, 13 weeks.
-
To count from 1 to 42,638,935,248,000 would take you about three million, three hundred eighty-nine thousand, four hundred sixty-five 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 42638935248000 cubic inches would be around 2911.3 feet tall.
Recreational maths with 42638935248000
- 42638935248000 backwards is 00084253983624
- 42638935248000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42638935248000's digits is 54
- More coming soon!
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Cite this page
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"Number 42638935248000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 42638935248000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42638935248000/
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The information we have on file for 42638935248000 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!
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