134742391520100
134,742,391,520,100 is an even composite number composed of eight prime numbers multiplied together.
What does the number 134742391520100 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2160 divisors.
134742391520100 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 134742391520100:
22 × 3 × 52 × 74 × 13 × 23 × 372 × 457
(2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 23 × 37 × 37 × 457)See below for interesting mathematical facts about the number 134742391520100 from the Numbermatics database.
Names of 134742391520100
- Cardinal: 134742391520100 can be written as One hundred thirty-four trillion, seven hundred forty-two billion, three hundred ninety-one million, five hundred twenty thousand, one hundred.
Scientific notation
- Scientific notation: 1.347423915201 × 1014
Factors of 134742391520100
Divisors of 134742391520100
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 10 12 13 14 15 20 21 23 25 26 28 30 35 37 39 42 46 49 50 52 60 65 69 70 74 75 78 84 91 92 98 100 105 111 115 130 138 140 147 148 150 156 161 175 182 185 195 196 210 222 230 245 259 260 273 276 294 299 300 322 325 343 345 350 364 370 390 420 444 455 457 460 481 483 490 518 525 546 555 575 588 598 637 644 650 686 690 700 735 740 777 780 805 851 897 910 914 925 962 966 975 980 1029 1036 1050 1092 1110 1127 1150 1196 1225 1274 1295 1300 1365 1369 1371 1372 1380 1443 1470 1495 1554 1610 1702 1715 1725 1794 1813 1820 1828 1850 1911 1924 1932 1950 2058 2093 2100 2220 2254 2275 2285 2300 2401 2405 2415 2450 2548 2553 2590 2730 2738 2742 2775 2886 2940 2990 3108 3185 3199 3220 3367 3381 3404 3430 3450 3588 3626 3675 3700 3822 3885 3900 4025 4107 4116 4186 4255 4459 4485 4508 4550 4570 4802 4810 4830 4900 5106 5145 5180 5439 5460 5476 5484 5550 5635 5772 5941 5957 5980 6279 6370 6398 6475 6734 6762 6825 6845 6855 6860 6900 7203 7215 7252 7350 7475 7644 7770 7889 8050 8214 8372 8510 8575 8918 8970 9065 9100 9140 9555 9583 9597 9604 9620 9660 10101 10212 10290 10465 10511 10878 11063 11100 11270 11425 11882 11914 12005 12025 12075 12558 12691 12740 12765 12796 12950 13377 13468 13524 13650 13690 13710 14406 14430 14651 14700 14950 15540 15778 15925 15995 16100 16428 16835 16905 16909 17020 17150 17797 17823 17836 17871 17940 18130 19110 19166 19194 19425 20202 20535 20580 20930 21022 21275 21756 22126 22295 22393 22425 22540 22850 23569 23667 23764 23828 24010 24050 24150 25116 25382 25530 25725 25900 26754 27195 27300 27380 27420 28175 28749 28812 28860 29302 29705 29785 29900 31213 31395 31487 31533 31556 31850 31990 33189 33670 33810 33818 34225 34275 34300 35594 35646 35742 36015 36075 36260 38073 38220 38332 38388 38850 39445 40404 41070 41587 41699 41860 42044 42550 43953 44252 44590 44786 44850 45325 45700 47138 47334 47775 47915 47985 48020 48100 48300 50505 50727 50764 51060 51450 52325 52555 53391 53508 54390 55223 55315 56350 57498 58604 59410 59570 60025 62426 62790 62974 63066 63455 63700 63825 63980 66378 66885 67081 67179 67340 67620 67636 68450 68550 70707 71188 71292 71484 72030 72150 73255 73577 76146 77441 77700 78890 79975 82140 83174 83398 84175 84525 84545 85100 87906 88837 88985 89115 89180 89355 89572 89700 90650 93639 94276 94461 94668 95550 95830 95970 101010 101454 102557 102675 102900 104650 105110 106782 108780 110446 110630 111475 111965 112700 114996 117845 118335 118363 118820 119140 120050 124579 124761 124852 125097 125580 125948 126132 126910 127650 132756 133770 134162 134358 135975 136643 136900 137100 141414 143745 144060 144300 146510 147154 148525 148925 152292 154882 156065 156751 156975 157435 157665 157780 159950 164983 165669 165945 166348 166796 168350 169050 169090 175812 177674 177970 178230 178710 180075 181300 187278 188922 190365 191100 191660 191940 197225 201243 202020 202908 205114 205350 207935 208495 209300 210220 213564 219765 219817 220409 220731 220892 221260 222950 223930 232323 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1238668795 1261845550 1281917910 1287552714 1309449869 1312319372 1313829300 1328113150 1333951010 1404005330 1406056470 1410176782 1423315075 1426434100 1429233225 1438955900 1486402554 1502144833 1504291425 1507944620 1510903695 1512005740 1514214660 1516737300 1532800850 1583341851 1593735780 1594112884 1600741212 1615654950 1620006150 1640399215 1684806396 1707978090 1734136313 1739936100 1769526850 1831311300 1839361020 1867531414 1870642670 1884930775 1890007175 1892768325 1905644300 1965607462 1968479058 1992169725 1992641105 2000926515 2005721900 2008652100 2014538260 2029925450 2106007995 2111122468 2115265173 2123432220 2136529850 2139651150 2145921190 2158433850 2244771204 2261916930 2268008610 2299201275 2343427450 2391169326 2435910540 2439968700 2477337590 2518172825 2523691100 2563835820 2575105428 2618899738 2638903085 2654290275 2656226300 2667902020 2789697547 2801297121 2805964005 2808010660 2812112940 2820353564 2846630150 2858466450 2948411193 2972805108 3004289666 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8369092641 8424031980 8461060692 8539890450 8670681565 9012868998 9166149083 9196805100 9337657070 9353213350 9828037310 9842395290 9871237474 9963205525 10004632575 10072691300 10404817878 10530039975 10555612340 10576325865 10617161100 10729605950 11158790188 11205188484 11223856020 11309584650 11340043050 11793644772 11955846630 12138954191 12179552700 12386687950 12819179100 12875527140 13094498690 13194515425 13339510100 13948487735 14006485605 14029820025 14040053300 14060564700 14101767820 14742055965 14806856211 14864025540 15021448330 15109036950 15713398428 15833418510 16094408925 16403992150 16738185282 17079780900 17341363130 17627209775 18025737996 18332298166 18580031925 18675314140 18706426700 19527882829 19641748035 19656074620 19684790580 19742474948 19926411050 20009265150 20809635756 21060079950 21152651730 21459211900 22532172495 22619169300 22680086100 23344142675 23911693260 24277908382 24570093275 24605988225 24678093685 24773375900 26012044695 26188997380 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121389541910 123390468425 128326087162 130060223475 130944986900 137492236245 138197324636 139484877350 140064856050 145667450292 147420559650 148068562110 150214483300 158334185100 167381852820 172746655795 173413631300 182084312865 183322981660 192489130743 195278828290 196417480350 207295986954 209227316025 211526517300 225321724950 229153727075 234334593948 242779083820 246780936850 256652174324 260120446950 274984472490 278969754700 280129712100 292918242435 294841119300 296137124220 303473854775 320815217905 345493311590 364168625730 370171405275 384978261486 390557656580 392834960700 414591973908 418454632050 449141305067 450643449900 458307454150 488197070725 493561873700 518239967385 520240893900 549968944980 585836484870 606947709550 641630435810 687461181225 690986623180 728337251460 740342810550 769956522972 836909264100 863733278975 898282610134 910421564325 916614908300 962445653715 976394141450 1036479934770 1171672969740 1213895419100 1283260871620 1347423915201 1374922362450 1464591212175 1480685621100 1604076089525 1727466557950 1796565220268 1820843128650 1924891307430 1952788282900 2072959869540 2245706525335 2591199836925 2694847830402 2749844724900 2929182424350 3208152179050 3454933115900 3641686257300 3849782614860 4491413050670 4812228268575 5182399673850 5389695660804 5858364848700 6416304358100 6737119576005 8982826101340 9624456537150 10364799347700 11228532626675 13474239152010 19248913074300 22457065253350 26948478304020 33685597880025 44914130506700 67371195760050 134742391520100
- Sum of all divisors σ(n): 526419158767488
- Sum of proper divisors (its aliquot sum) s(n): 391676767247388
- 134742391520100 is an abundant number, because the sum of its proper divisors (391676767247388) is greater than itself. Its abundance is 256934375727288
Bases of 134742391520100
- Binary: 111101010001100001010000110000111111011011001002
- Hexadecimal: 0x7A8C2861FB64
- Base-36: 1BRFSSYRFO
Squares and roots of 134742391520100
- 134742391520100 squared (1347423915201002) is 18155512072555916388704010000
- 134742391520100 cubed (1347423915201003) is 2446317115928231484346395812452865601000000
-
The
square root of 134742391520100 is 11607859.0411884309 -
The
cube root of 134742391520100 is 51266.6276748623
Scales and comparisons
How big is 134742391520100?- 134,742,391,520,100 seconds is equal to 4,284,391 years, 13 weeks, 5 days, 8 hours, 55 minutes.
-
To count from 1 to 134,742,391,520,100 would take you about ten million, seven hundred ten thousand, nine hundred seventy-eight 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 134742391520100 cubic inches would be around 4272.2 feet tall.
Recreational maths with 134742391520100
- 134742391520100 backwards is 001025193247431
- 134742391520100 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134742391520100's digits is 42
- More coming soon!
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"Number 134742391520100 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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The information we have on file for 134742391520100 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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