131528045376000
131,528,045,376,000 is an even composite number composed of seven prime numbers multiplied together.
131528045376000 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 131528045376000:
29 × 33 × 53 × 72 × 13 × 192 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 19 × 19 × 331)See below for interesting mathematical facts about the number 131528045376000 from the Numbermatics database.
Names of 131528045376000
- Cardinal: 131528045376000 can be written as One hundred thirty-one trillion, five hundred twenty-eight billion, forty-five million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.31528045376 × 1014
Factors of 131528045376000
Divisors of 131528045376000
- 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 19 20 21 24 25 26 27 28 30 32 35 36 38 39 40 42 45 48 49 50 52 54 56 57 60 63 64 65 70 72 75 76 78 80 84 90 91 95 96 98 100 104 105 108 112 114 117 120 125 126 128 130 133 135 140 144 147 150 152 156 160 168 171 175 180 182 189 190 192 195 196 200 208 210 216 224 225 228 234 240 245 247 250 252 256 260 266 270 273 280 285 288 294 300 304 312 315 320 325 331 336 342 350 351 360 361 364 375 378 380 384 390 392 399 400 416 420 432 441 448 450 455 456 468 475 480 490 494 500 504 512 513 520 525 532 540 546 560 570 576 585 588 600 608 624 630 637 640 650 662 665 672 675 684 700 702 720 722 728 735 741 750 756 760 768 780 784 798 800 819 832 840 855 864 875 882 896 900 910 912 931 936 945 950 960 975 980 988 993 1000 1008 1026 1040 1050 1064 1080 1083 1092 1120 1125 1140 1152 1170 1176 1197 1200 1216 1225 1235 1248 1260 1274 1280 1300 1323 1324 1330 1344 1350 1365 1368 1400 1404 1425 1440 1444 1456 1470 1482 1500 1512 1520 1536 1560 1568 1575 1596 1600 1625 1638 1655 1664 1680 1710 1728 1729 1750 1755 1764 1792 1800 1805 1820 1824 1862 1872 1890 1900 1911 1920 1950 1960 1976 1986 1995 2000 2016 2052 2080 2100 2128 2160 2166 2184 2205 2223 2240 2250 2275 2280 2304 2317 2340 2352 2375 2394 2400 2432 2450 2457 2470 2496 2520 2527 2548 2560 2565 2600 2625 2646 2648 2660 2688 2700 2730 2736 2793 2800 2808 2850 2880 2888 2912 2925 2940 2964 2979 3000 3024 3040 3120 3136 3150 3185 3192 3200 3249 3250 3276 3310 3325 3328 3360 3375 3420 3456 3458 3500 3510 3528 3584 3591 3600 3610 3640 3648 3675 3705 3724 3744 3780 3800 3822 3840 3900 3920 3952 3972 3990 4000 4032 4095 4104 4160 4200 4256 4275 4303 4320 4332 4368 4410 4446 4480 4500 4550 4560 4608 4634 4655 4680 4693 4704 4725 4750 4788 4800 4864 4875 4900 4914 4940 4965 4992 5040 5054 5096 5130 5187 5200 5250 5292 5296 5320 5376 5400 5415 5460 5472 5586 5600 5616 5700 5733 5760 5776 5824 5850 5880 5928 5958 5985 6000 6048 6080 6125 6175 6240 6272 6289 6300 6370 6384 6400 6498 6500 6552 6615 6620 6650 6656 6669 6720 6750 6825 6840 6912 6916 6951 7000 7020 7056 7125 7182 7200 7220 7280 7296 7350 7410 7448 7488 7560 7581 7600 7644 7680 7800 7840 7875 7904 7944 7980 8000 8064 8190 8208 8275 8320 8379 8400 8512 8550 8606 8640 8645 8664 8736 8775 8820 8892 8937 8960 9000 9025 9100 9120 9268 9310 9360 9386 9408 9450 9500 9555 9576 9600 9728 9747 9750 9800 9828 9880 9930 9975 9984 10080 10108 10192 10260 10374 10400 10500 10584 10592 10640 10752 10800 10830 10920 10944 11025 11115 11172 11200 11232 11375 11400 11466 11520 11552 11585 11648 11700 11760 11856 11916 11970 12000 12096 12103 12160 12250 12285 12350 12480 12544 12578 12600 12635 12740 12768 12800 12825 12909 12996 13000 13104 13230 13240 13300 13338 13440 13500 13650 13680 13824 13832 13902 13965 14000 14040 14079 14112 14250 14364 14400 14440 14560 14592 14625 14700 14820 14895 14896 14976 15120 15162 15200 15288 15561 15600 15680 15750 15808 15888 15925 15960 16000 16128 16219 16245 16380 16416 16550 16625 16640 16758 16800 17024 17100 17199 17212 17280 17290 17328 17472 17550 17640 17689 17784 17874 17920 17955 18000 18050 18200 18240 18375 18525 18536 18620 18720 18772 18816 18867 18900 19000 19110 19152 19200 19494 19500 19600 19656 19760 19860 19950 19968 20160 20216 20384 20475 20520 20748 20800 20853 21000 21168 21184 21280 21375 21515 21600 21660 21840 21888 22050 22230 22344 22400 22464 22743 22750 22800 22932 23040 23104 23170 23275 23296 23400 23465 23520 23625 23712 23832 23940 24000 24192 24206 24320 24500 24570 24700 24825 24960 25088 25137 25156 25200 25270 25480 25536 25650 25818 25935 25992 26000 26208 26460 26480 26600 26676 26880 27000 27075 27300 27360 27664 27804 27930 28000 28080 28158 28224 28500 28665 28728 28800 28880 29120 29184 29250 29400 29640 29790 29792 29925 29952 30121 30240 30324 30400 30576 30875 31122 31200 31360 31445 31500 31616 31776 31850 31920 32000 32256 32438 32490 32760 32832 32851 33075 33100 33250 33280 33345 33516 33600 34048 34125 34200 34398 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5824000 5835375 5838840 5855059 5886504 5913180 5928000 5931520 5943105 5958000 5958400 5974550 5975424 6007040 6024200 6037440 6048000 6051500 6064800 6082125 6115200 6131775 6163220 6196320 6196736 6208839 6213532 6224400 6228096 6238080 6255900 6284250 6289000 6289920 6307392 6325410 6335550 6339312 6355200 6368040 6384000 6435072 6452514 6454500 6469120 6487600 6498000 6506136 6535620 6540560 6552000 6566400 6570200 6603450 6609408 6633375 6639360 6669000 6672960 6691496 6703200 6747104 6757920 6777225 6792120 6792576 6822900 6867588 6879600 6884800 6898710 6916000 6931200 6951000 6971328 7006608 7039500 7043680 7056000 7075125 7075600 7095816 7113600 7149600 7150080 7169460 7182000 7208448 7229040 7244928 7261800 7277760 7298550 7338240 7358130 7358624 7391475 7395864 7414400 7435584 7448000 7469280 7488000 7508800 7527933 7530250 7546800 7581000 7590492 7626240 7641648 7644000 7647424 7660800 7704025 7710976 7745400 7745920 7766915 7780500 7785120 7797600 7819875 7848672 7862400 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532502208000 536849164800 548033522400 562085664000 576877392000 584569090560 587178774000 608926136000 626324025600 632346372000 657640226880 671061456000 674502796800 685041903000 692252870400 695915584000 722681568000 730711363200 751588830720 769169856000 782905032000 822050283600 843128496000 865316088000 876853635840 894748608000 913389204000 939486038400 974281817600 988932672000 1011754195200 1027562854500 1043873376000 1052224363008 1096067044800 1124171328000 1153754784000 1174357548000 1217852272000 1252648051200 1264692744000 1315280453760 1342122912000 1370083806000 1384505740800 1445363136000 1461422726400 1565810064000 1644100567200 1686256992000 1730632176000 1753707271680 1826778408000 1878972076800 2023508390400 2055125709000 2087746752000 2192134089600 2307509568000 2348715096000 2435704544000 2529385488000 2630560907520 2684245824000 2740167612000 2922845452800 3131620128000 3288201134400 3372513984000 3461264352000 3653556816000 3757944153600 4110251418000 4384268179200 4697430192000 4871409088000 5058770976000 5261121815040 5480335224000 6263240256000 6576402268800 6922528704000 7307113632000 8220502836000 8768536358400 9394860384000 10117541952000 10960670448000 13152804537600 14614227264000 16441005672000 18789720768000 21921340896000 26305609075200 32882011344000 43842681792000 65764022688000 131528045376000
- Sum of all divisors σ(n): 644356441048320
- Sum of proper divisors (its aliquot sum) s(n): 512828395672320
- 131528045376000 is an abundant number, because the sum of its proper divisors (512828395672320) is greater than itself. Its abundance is 381300350296320
Bases of 131528045376000
- Binary: 111011110011111110000100110110000110010000000002
- Hexadecimal: 0x779FC26C3200
- Base-36: 1AMF5E9HC0
Squares and roots of 131528045376000
- 131528045376000 squared (1315280453760002) is 17299626720431114981376000000
- 131528045376000 cubed (1315280453760003) is 2275386088272725757552695922917376000000000
-
The
square root of 131528045376000 is 11468567.7124913903 -
The
cube root of 131528045376000 is 50855.6787907807
Scales and comparisons
How big is 131528045376000?- 131,528,045,376,000 seconds is equal to 4,182,185 years.
-
To count from 1 to 131,528,045,376,000 would take you about ten million, four hundred fifty-five thousand, four hundred sixty-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 131528045376000 cubic inches would be around 4238 feet tall.
Recreational maths with 131528045376000
- 131528045376000 backwards is 000673540825131
- 131528045376000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131528045376000's digits is 45
- More coming soon!
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"Number 131528045376000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 131528045376000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/131528045376000/
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The information we have on file for 131528045376000 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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