137485988640000
137,485,988,640,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137485988640000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 9720 divisors.
137485988640000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine thousand, seven hundred twenty divisors.
Prime factorization of 137485988640000:
28 × 32 × 54 × 7 × 112 × 132 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 13 × 13 × 23 × 29)See below for interesting mathematical facts about the number 137485988640000 from the Numbermatics database.
Names of 137485988640000
- Cardinal: 137485988640000 can be written as One hundred thirty-seven trillion, four hundred eighty-five billion, nine hundred eighty-eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3748598864 × 1014
Factors of 137485988640000
Divisors of 137485988640000
- Number of divisors d(n): 9720
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 23 24 25 26 28 29 30 32 33 35 36 39 40 42 44 45 46 48 50 52 55 56 58 60 63 64 65 66 69 70 72 75 77 78 80 84 87 88 90 91 92 96 99 100 104 105 110 112 115 116 117 120 121 125 126 128 130 132 138 140 143 144 145 150 154 156 160 161 165 168 169 174 175 176 180 182 184 192 195 198 200 203 207 208 210 220 224 225 230 231 232 234 240 242 250 252 253 256 260 261 264 273 275 276 280 286 288 290 299 300 308 312 315 319 320 322 325 330 336 338 345 348 350 352 360 363 364 368 375 377 384 385 390 396 400 406 414 416 420 429 435 440 448 450 455 460 462 464 468 480 483 484 495 500 504 506 507 520 522 525 528 546 550 552 560 572 575 576 580 585 598 600 605 609 616 624 625 630 638 640 644 650 660 667 672 676 690 693 696 700 704 715 720 725 726 728 736 750 754 759 768 770 780 792 800 805 812 819 825 828 832 840 845 847 858 870 875 880 896 897 900 910 920 924 928 936 957 960 966 968 975 990 1000 1001 1008 1012 1014 1015 1035 1040 1044 1050 1056 1089 1092 1100 1104 1120 1125 1131 1144 1150 1152 1155 1160 1170 1183 1196 1200 1210 1218 1232 1248 1250 1260 1265 1276 1280 1287 1288 1300 1305 1320 1334 1344 1352 1365 1375 1380 1386 1392 1400 1408 1430 1440 1449 1450 1452 1456 1472 1495 1500 1508 1518 1521 1540 1560 1573 1575 1584 1595 1600 1610 1624 1625 1638 1650 1656 1664 1680 1690 1694 1716 1725 1740 1750 1760 1771 1792 1794 1800 1815 1820 1827 1840 1848 1856 1859 1872 1875 1885 1914 1920 1925 1932 1936 1950 1980 2000 2001 2002 2016 2024 2028 2030 2070 2080 2088 2093 2100 2112 2145 2175 2178 2184 2200 2208 2233 2240 2250 2262 2275 2277 2288 2300 2304 2310 2320 2340 2366 2392 2400 2415 2420 2436 2464 2475 2496 2500 2520 2530 2535 2541 2552 2574 2576 2600 2610 2625 2639 2640 2668 2688 2691 2704 2730 2750 2760 2772 2783 2784 2800 2816 2860 2871 2875 2880 2898 2900 2904 2912 2925 2944 2990 3000 3003 3016 3025 3036 3042 3045 3080 3120 3146 3150 3168 3190 3200 3220 3248 3250 3276 3289 3300 3312 3328 3335 3360 3380 3388 3393 3432 3450 3465 3480 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716072857500 747206460000 755417520000 763811048000 781170390000 785634220800 790149360000 813526560000 818368980000 833248416000 853950240000 859287429000 881320440000 892766160000 916573257600 948179232000 954763810000 961440480000 982042776000 996275280000 1041560520000 1057584528000 1074109286250 1091158640000 1099887909120 1136247840000 1145716572000 1175093920000 1185224040000 1195530336000 1227553470000 1249872624000 1309390368000 1321980660000 1374859886400 1388747360000 1432145715000 1494412920000 1510835040000 1527622096000 1562340780000 1580298720000 1636737960000 1718574858000 1762640880000 1785532320000 1833146515200 1909527620000 1964085552000 1992550560000 2083121040000 2115169056000 2148218572500 2182317280000 2291433144000 2370448080000 2455106940000 2499745248000 2643961320000 2749719772800 2864291430000 2988825840000 3055244192000 3124681560000 3273475920000 3437149716000 3525281760000 3819055240000 3928171104000 4166242080000 4296437145000 4582866288000 4740896160000 4910213880000 5287922640000 5499439545600 5728582860000 5977651680000 6249363120000 6546951840000 6874299432000 7638110480000 8592874290000 9165732576000 9820427760000 10575845280000 11457165720000 12498726240000 13748598864000 15276220960000 17185748580000 19640855520000 22914331440000 27497197728000 34371497160000 45828662880000 68742994320000 137485988640000
- Sum of all divisors σ(n): 727345071573120
- Sum of proper divisors (its aliquot sum) s(n): 589859082933120
- 137485988640000 is an abundant number, because the sum of its proper divisors (589859082933120) is greater than itself. Its abundance is 452373094293120
Bases of 137485988640000
- Binary: 111110100001010111100111000001110110101000000002
- Hexadecimal: 0x7D0AF383B500
- Base-36: 1CQG6VUPS0
Squares and roots of 137485988640000
- 137485988640000 squared (1374859886400002) is 18902397072318209049600000000
- 137485988640000 cubed (1374859886400003) is 2598814749153510547858450796544000000000000
-
The
square root of 137485988640000 is 11725441.9379399087 -
The
cube root of 137485988640000 is 51612.2525437721
Scales and comparisons
How big is 137485988640000?- 137,485,988,640,000 seconds is equal to 4,371,629 years, 8 weeks, 4 days, 16 hours.
-
To count from 1 to 137,485,988,640,000 would take you about ten million, nine hundred twenty-nine thousand and seventy-two 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 137485988640000 cubic inches would be around 4301 feet tall.
Recreational maths with 137485988640000
- 137485988640000 backwards is 000046889584731
- 137485988640000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137485988640000's digits is 63
- More coming soon!
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The information we have on file for 137485988640000 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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