138220656013440
138,220,656,013,440 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138220656013440 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
138220656013440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138220656013440:
27 × 32 × 5 × 72 × 11 × 13 × 17 × 201451
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 13 × 17 × 201451)See below for interesting mathematical facts about the number 138220656013440 from the Numbermatics database.
Names of 138220656013440
- Cardinal: 138220656013440 can be written as One hundred thirty-eight trillion, two hundred twenty billion, six hundred fifty-six million, thirteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3822065601344 × 1014
Factors of 138220656013440
Divisors of 138220656013440
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 24 26 28 30 32 33 34 35 36 39 40 42 44 45 48 49 51 52 55 56 60 63 64 65 66 68 70 72 77 78 80 84 85 88 90 91 96 98 99 102 104 105 110 112 117 119 120 126 128 130 132 136 140 143 144 147 153 154 156 160 165 168 170 176 180 182 187 192 195 196 198 204 208 210 220 221 224 231 234 238 240 245 252 255 260 264 272 273 280 286 288 294 306 308 312 315 320 330 336 340 352 357 360 364 374 384 385 390 392 396 408 416 420 429 440 441 442 448 455 462 468 476 480 490 495 504 510 520 528 539 544 546 560 561 572 576 585 588 595 612 616 624 630 637 640 660 663 672 680 693 704 714 715 720 728 735 748 765 770 780 784 792 816 819 832 833 840 858 880 882 884 896 910 924 935 936 952 960 980 990 1001 1008 1020 1040 1056 1071 1078 1088 1092 1105 1120 1122 1144 1152 1155 1170 1176 1190 1224 1232 1248 1260 1274 1287 1309 1320 1326 1344 1360 1365 1386 1408 1428 1430 1440 1456 1470 1496 1530 1540 1547 1560 1568 1584 1617 1632 1638 1664 1666 1680 1683 1716 1760 1764 1768 1785 1820 1848 1870 1872 1904 1911 1920 1960 1980 1989 2002 2016 2040 2080 2112 2142 2145 2156 2176 2184 2205 2210 2240 2244 2288 2310 2340 2352 2380 2431 2448 2464 2496 2499 2520 2548 2574 2618 2640 2652 2688 2695 2720 2730 2772 2805 2856 2860 2880 2912 2940 2992 3003 3060 3080 3094 3120 3136 3168 3185 3234 3264 3276 3315 3332 3360 3366 3432 3465 3520 3528 3536 3570 3640 3696 3740 3744 3808 3822 3920 3927 3960 3978 4004 4032 4080 4095 4160 4165 4224 4284 4290 4312 4368 4410 4420 4480 4488 4576 4620 4641 4680 4704 4760 4851 4862 4896 4928 4992 4998 5005 5040 5096 5148 5236 5280 5304 5355 5390 5440 5460 5544 5610 5712 5720 5733 5760 5824 5880 5984 6006 6120 6160 6188 6240 6272 6336 6370 6435 6468 6528 6545 6552 6630 6664 6720 6732 6864 6930 7007 7040 7056 7072 7140 7280 7293 7392 7480 7488 7497 7616 7644 7735 7840 7854 7920 7956 8008 8064 8085 8160 8190 8320 8330 8415 8568 8580 8624 8736 8820 8840 8976 9009 9152 9163 9240 9282 9360 9408 9520 9555 9702 9724 9792 9856 9945 9996 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1535785066816 1570689272880 1626125364864 1645484000160 1727758200168 1772059692480 1795073454720 1919731333520 1974580800192 2032656706080 2094252363840 2126471630976 2159697750210 2193978666880 2303677600224 2468226000240 2513102836608 2658089538720 2710208941440 2820829714560 2879597000280 3071570133632 3141378545760 3290968000320 3455516400336 3544119384960 3839462667040 3949161600384 4065313412160 4188504727680 4319395500420 4607355200448 4936452000480 5316179077440 5759194000560 6282757091520 6581936000640 6911032800672 7678925334080 8130626824320 8638791000840 9214710400896 9872904000960 10632358154880 11518388001120 12565514183040 13822065601344 15357850668160 17277582001680 19745808001920 23036776002240 27644131202688 34555164003360 46073552004480 69110328006720 138220656013440
- Sum of all divisors σ(n): 690657940103040
- Sum of proper divisors (its aliquot sum) s(n): 552437284089600
- 138220656013440 is an abundant number, because the sum of its proper divisors (552437284089600) is greater than itself. Its abundance is 414216628076160
Bases of 138220656013440
- Binary: 111110110110110000000010001101000110000100000002
- Hexadecimal: 0x7DB6011A3080
- Base-36: 1CZTOXU740
Squares and roots of 138220656013440
- 138220656013440 squared (1382206560134402) is 19104949748785707233460633600
- 138220656013440 cubed (1382206560134403) is 2640698687380966181856553831585352515584000
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The
square root of 138220656013440 is 11756728.1168461151 -
The
cube root of 138220656013440 is 51704.0206799941
Scales and comparisons
How big is 138220656013440?- 138,220,656,013,440 seconds is equal to 4,394,989 years, 16 weeks, 3 days, 6 hours, 24 minutes.
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To count from 1 to 138,220,656,013,440 would take you about ten million, nine hundred eighty-seven thousand, four hundred seventy-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 138220656013440 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138220656013440
- 138220656013440 backwards is 044310656022831
- 138220656013440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138220656013440's digits is 45
- More coming soon!
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"Number 138220656013440 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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The information we have on file for 138220656013440 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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