138840968448000
138,840,968,448,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138840968448000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5184 divisors.
138840968448000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.
Prime factorization of 138840968448000:
211 × 32 × 53 × 72 × 132 × 19 × 383
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 19 × 383)See below for interesting mathematical facts about the number 138840968448000 from the Numbermatics database.
Names of 138840968448000
- Cardinal: 138840968448000 can be written as One hundred thirty-eight trillion, eight hundred forty billion, nine hundred sixty-eight million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38840968448 × 1014
Factors of 138840968448000
Divisors of 138840968448000
- Number of divisors d(n): 5184
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 25 26 28 30 32 35 36 38 39 40 42 45 48 49 50 52 56 57 60 63 64 65 70 72 75 76 78 80 84 90 91 95 96 98 100 104 105 112 114 117 120 125 126 128 130 133 140 144 147 150 152 156 160 168 169 171 175 180 182 190 192 195 196 200 208 210 224 225 228 234 240 245 247 250 252 256 260 266 273 280 285 288 294 300 304 312 315 320 325 336 338 342 350 360 364 375 380 383 384 390 392 399 400 416 420 441 448 450 455 456 468 475 480 490 494 500 504 507 512 520 525 532 546 560 570 576 585 588 600 608 624 630 637 640 650 665 672 676 684 700 720 728 735 741 750 760 766 768 780 784 798 800 819 832 840 845 855 875 882 896 900 910 912 931 936 950 960 975 980 988 1000 1008 1014 1024 1040 1050 1064 1092 1120 1125 1140 1149 1152 1170 1176 1183 1197 1200 1216 1225 1235 1248 1260 1274 1280 1300 1330 1344 1352 1365 1368 1400 1425 1440 1456 1470 1482 1500 1520 1521 1532 1536 1560 1568 1575 1596 1600 1625 1638 1664 1680 1690 1710 1729 1750 1764 1792 1800 1820 1824 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68462016000 68869528000 69420484224 69594470400 70263648000 70837228800 71200496640 72313004400 72501811200 72653568000 73074193920 74167184000 74565504000 76118952000 76286246400 77133871360 77478219000 78708032000 79337696256 80301312000 81193548800 82154419200 82643433600 83438082000 84762496000 85440595968 86775605280 86993088000 88152995840 88546536000 89000620800 90391255500 90627264000 91282688000 91342742400 92560645632 93684864000 94449638400 95357808000 96417339200 97432258560 99172120320 101491936000 101714995200 102693024000 103304292000 104391705600 106800744960 108469506600 108980352000 110191244800 111250776000 112421836800 113339566080 114178428000 115700807040 115990784000 117363456000 118062048000 118667494400 120521674000 120836352000 121790323200 123414194176 123965150400 127143744000 130489632000 132229493760 133500931200 135586883250 136924032000 137739056000 138840968448 140527296000 141674457600 142400993280 144626008800 146148387840 148334368000 149131008000 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445003104000 456713712000 462803228160 472248192000 482086696000 487161292800 495860601600 508574976000 521958528000 534003724800 542347533000 550956224000 555363873792 562109184000 566697830400 578504035200 593337472000 608951616000 617070970880 619825752000 661147468800 667504656000 694204842240 708372288000 712004966400 723130044000 730741939200 762862464000 771338713600 793376962560 811935488000 821544192000 826434336000 867756052800 890006208000 913427424000 925606456320 944496384000 964173392000 991721203200 1043917056000 1068007449600 1084695066000 1101912448000 1110727747584 1157008070400 1186674944000 1217903232000 1239651504000 1322294937600 1335009312000 1388409684480 1416744576000 1446260088000 1461483878400 1525724928000 1542677427200 1652868672000 1735512105600 1780012416000 1826854848000 1851212912640 1928346784000 1983442406400 2136014899200 2169390132000 2203824896000 2314016140800 2435806464000 2479303008000 2670018624000 2776819368960 2833489152000 2892520176000 3085354854400 3305737344000 3471024211200 3560024832000 3653709696000 3856693568000 3966884812800 4338780264000 4628032281600 4958606016000 5340037248000 5553638737920 5785040352000 6611474688000 6942048422400 7307419392000 7713387136000 8677560528000 9256064563200 9917212032000 10680074496000 11570080704000 13884096844800 15426774272000 17355121056000 19834424064000 23140161408000 27768193689600 34710242112000 46280322816000 69420484224000 138840968448000
- Sum of all divisors σ(n): 665286976972800
- Sum of proper divisors (its aliquot sum) s(n): 526446008524800
- 138840968448000 is an abundant number, because the sum of its proper divisors (526446008524800) is greater than itself. Its abundance is 387605040076800
Bases of 138840968448000
- Binary: 111111001000110011011101001101011001000000000002
- Hexadecimal: 0x7E466E9AC800
- Base-36: 1D7QNRUGW0
Squares and roots of 138840968448000
- 138840968448000 squared (1388409684480002) is 19276814519578531528704000000
- 138840968448000 cubed (1388409684480003) is 2676411596490751174234965270331392000000000
-
The
square root of 138840968448000 is 11783079.7522549259 -
The
cube root of 138840968448000 is 51781.2517493743
Scales and comparisons
How big is 138840968448000?- 138,840,968,448,000 seconds is equal to 4,414,713 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 138,840,968,448,000 would take you about eleven million, thirty-six thousand, seven 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 138840968448000 cubic inches would be around 4315.1 feet tall.
Recreational maths with 138840968448000
- 138840968448000 backwards is 000844869048831
- 138840968448000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138840968448000's digits is 63
- More coming soon!
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"Number 138840968448000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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The information we have on file for 138840968448000 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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