1057188132000
1,057,188,132,000 is an even composite number composed of seven prime numbers multiplied together.
1057188132000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 1057188132000:
25 × 33 × 53 × 72 × 112 × 13 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 13 × 127)See below for interesting mathematical facts about the number 1057188132000 from the Numbermatics database.
Names of 1057188132000
- Cardinal: 1057188132000 can be written as One trillion, fifty-seven billion, one hundred eighty-eight million, one hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.057188132 × 1012
Factors of 1057188132000
Divisors of 1057188132000
- Number of divisors d(n): 3456
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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 24 25 26 27 28 30 32 33 35 36 39 40 42 44 45 48 49 50 52 54 55 56 60 63 65 66 70 72 75 77 78 80 84 88 90 91 96 98 99 100 104 105 108 110 112 117 120 121 125 126 127 130 132 135 140 143 144 147 150 154 156 160 165 168 175 176 180 182 189 195 196 198 200 208 210 216 220 224 225 231 234 240 242 245 250 252 254 260 264 270 273 275 280 286 288 294 297 300 308 312 315 325 330 336 350 351 352 360 363 364 375 378 381 385 390 392 396 400 416 420 429 432 440 441 450 455 462 468 480 484 490 495 500 504 508 520 525 528 539 540 546 550 560 572 585 588 594 600 605 616 624 630 635 637 650 660 672 675 693 700 702 715 720 726 728 735 750 756 762 770 780 784 792 800 819 825 840 847 858 864 875 880 882 889 900 910 924 936 945 968 975 980 990 1000 1001 1008 1016 1040 1050 1056 1078 1080 1089 1092 1100 1120 1125 1143 1144 1155 1170 1176 1188 1200 1210 1225 1232 1248 1260 1270 1274 1287 1300 1320 1323 1350 1365 1375 1386 1397 1400 1404 1430 1440 1452 1456 1470 1485 1500 1512 1524 1540 1560 1568 1573 1575 1584 1617 1625 1638 1650 1651 1680 1694 1716 1750 1755 1760 1764 1778 1800 1815 1820 1848 1872 1890 1905 1911 1925 1936 1950 1960 1980 2000 2002 2016 2032 2079 2080 2100 2145 2156 2160 2178 2184 2200 2205 2250 2275 2286 2288 2310 2340 2352 2376 2400 2420 2450 2457 2464 2475 2520 2540 2541 2548 2574 2600 2625 2640 2646 2667 2695 2700 2730 2750 2772 2794 2800 2808 2860 2904 2912 2925 2940 2970 3000 3003 3024 3025 3048 3080 3120 3146 3150 3168 3175 3185 3234 3250 3267 3276 3300 3302 3360 3375 3388 3429 3432 3465 3500 3510 3528 3556 3575 3600 3630 3640 3675 3696 3744 3780 3810 3822 3850 3861 3872 3900 3920 3960 4000 4004 4064 4095 4125 4158 4191 4200 4235 4290 4312 4320 4356 4368 4400 4410 4445 4500 4550 4572 4576 4620 4680 4704 4719 4725 4752 4840 4851 4875 4900 4914 4950 4953 5005 5040 5080 5082 5096 5148 5200 5250 5280 5292 5334 5390 5400 5445 5460 5500 5544 5588 5600 5616 5715 5720 5733 5775 5808 5850 5880 5929 5940 6000 6006 6048 6050 6096 6125 6160 6223 6240 6292 6300 6350 6370 6435 6468 6500 6534 6552 6600 6604 6615 6750 6776 6825 6858 6864 6930 6985 7000 7007 7020 7056 7112 7150 7200 7260 7280 7350 7392 7425 7560 7620 7623 7644 7700 7722 7800 7840 7865 7875 7920 8001 8008 8085 8190 8250 8255 8316 8382 8400 8470 8580 8624 8712 8736 8775 8800 8820 8890 9000 9009 9075 9100 9144 9240 9360 9438 9450 9504 9525 9555 9625 9680 9702 9750 9779 9800 9828 9900 9906 10010 10080 10160 10164 10192 10296 10395 10400 10500 10584 10668 10725 10780 10800 10890 10920 11000 11011 11025 11088 11176 11232 11375 11430 11440 11466 11550 11557 11616 11700 11760 11858 11880 12000 12012 12100 12192 12250 12285 12320 12375 12446 12573 12584 12600 12700 12705 12740 12870 12936 13000 13068 13104 13200 13208 13230 13335 13475 13500 13552 13650 13716 13728 13860 13970 14000 14014 14040 14112 14157 14224 14300 14520 14553 14560 14625 14700 14850 14859 15015 15120 15125 15240 15246 15288 15367 15400 15444 15600 15730 15750 15840 15875 15925 16002 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162644328 163449000 164287200 165963600 166486320 167807640 168021000 169421175 169884000 171621450 172602144 173423250 174741840 174799625 176022000 176198022 177977800 178308000 179793900 180715920 182022750 183062880 184404000 184823100 184984800 188245750 188783595 189189000 190690500 192216024 193624200 194157600 195775580 196138800 198198000 199771000 200225025 201369168 203305410 205359000 207454500 208026000 208107900 209759550 211226400 213444000 213573360 215138000 215752680 216859104 217932000 218427300 222472250 223743520 224028000 224742375 225894900 228828600 231028875 231231000 232349040 234930696 237837600 239725200 240270030 242030250 242697000 244719475 245173500 246430800 249631200 251711460 252252000 254254000 256288032 258165600 260134875 264033000 264297033 266966700 269690850 271073880 273034125 273812000 274594320 276606000 277477200 279679400 282368625 286035750 287670240 290436300 291236400 293663370 295716960 297297000 299656500 301193200 302053752 305104800 308038500 308308000 312039000 313240928 314639325 320166000 320360040 322707000 323596000 325288656 326898000 331927200 332972640 333708375 335615280 336042000 338842350 343242900 346846500 349483680 349599250 352044000 352396044 355955600 359587800 361431840 363045375 364045500 369646200 376491500 377567190 378378000 381381000 384432048 387248400 391551160 392277600 396396000 399542000 400450050 402738336 406610820 410718000 414909000 416052000 416215800 419519100 427146720 429053625 430276000 431505360 436854600 440495055 444944500 449484750 451789800 457657200 462057750 462462000 464698080 469861392 479450400 480540060 484060500 485394000 489438950 490347000 492861600 503422920 508263525 508508000 520269750 524398875 528066000 528594066 533933400 539381700 542147760 546068250 549188640 553212000 554954400 559358800 564737250 572071500 580872600 582472800 587326740 594594000 599313000 600675075 602386400 604107504 616077000 624078000 629278650 640332000 640720080 645414000 650577312 653796000 667416750 671230560 672084000 674227125 677684700 686485800 693693000 699198500 704792088 711911200 719175600 726090750 728091000 734158425 739292400 752983000 755134380 756756000 762762000 768864096 774496800 783102320 799084000 800900100 813221640 821436000 829818000 832431600 839038200 847105875 858107250 863010720 873709200 880990110 889889000 898969500 903579600 915314400 924115500 924924000 939722784 943917975 961080120 968121000 970788000 978877900 980694000 1001125125 1006845840 1016527050 1040539500 1048797750 1056132000 1057188132 1067866800 1078763400 1084295520 1092136500 1118717600 1129474500 1144143000 1161745200 1174653480 1189188000 1198626000 1201350150 1208215008 1223597375 1232154000 1248156000 1258557300 1281440160 1290828000 1321485165 1334833500 1348454250 1355369400 1372971600 1387386000 1398397000 1409584176 1438351200 1452181500 1456182000 1468316850 1478584800 1505966000 1510268760 1525524000 1566204640 1573196625 1601800200 1626443280 1659636000 1664863200 1678076400 1694211750 1716214500 1747418400 1761980220 1779778000 1797939000 1807159200 1848231000 1887835950 1922160240 1936242000 1957755800 1961388000 2002250250 2013691680 2033054100 2081079000 2097595500 2114376264 2135733600 2157526800 2184273000 2202475275 2258949000 2288286000 2323490400 2349306960 2397252000 2402700300 2447194750 2464308000 2517114600 2541317625 2642970330 2669667000 2696908500 2710738800 2745943200 2774772000 2796794000 2819168352 2904363000 2912364000 2936633700 3003375375 3011932000 3020537520 3146393250 3203600400 3252886560 3356152800 3388423500 3432429000 3523960440 3559556000 3595878000 3670792125 3696462000 3775671900 3844320480 3872484000 3915511600 4004500500 4066108200 4162158000 4195191000 4228752528 4315053600 4368546000 4404950550 4517898000 4576572000 4698613920 4719589875 4805400600 4894389500 5034229200 5082635250 5285940660 5339334000 5393817000 5421477600 5593588000 5808726000 5873267400 6006750750 6041075040 6292786500 6407200800 6607425825 6776847000 6864858000 7047920880 7191756000 7341584250 7392924000 7551343800 7831023200 8009001000 8132216400 8324316000 8390382000 8457505056 8737092000 8809901100 9035796000 9439179750 9610801200 9788779000 10068458400 10165270500 10571881320 10678668000 10787634000 11012376375 11617452000 11746534800 12013501500 12585573000 13214851650 13553694000 13729716000 14095841760 14683168500 15102687600 16018002000 16264432800 16780764000 17619802200 18878359500 19221602400 19577558000 20330541000 21143762640 21575268000 22024752750 23493069600 24027003000 25171146000 26429703300 27107388000 29366337000 30205375200 32036004000 33037129125 35239604400 37756719000 39155116000 40661082000 42287525280 44049505500 48054006000 50342292000 52859406600 58732674000 66074258250 70479208800 75513438000 81322164000 88099011000 96108012000 105718813200 117465348000 132148516500 151026876000 176198022000 211437626400 264297033000 352396044000 528594066000 1057188132000
- Sum of all divisors σ(n): 5340594954240
- Sum of proper divisors (its aliquot sum) s(n): 4283406822240
- 1057188132000 is an abundant number, because the sum of its proper divisors (4283406822240) is greater than itself. Its abundance is 3226218690240
Bases of 1057188132000
- Binary: 11110110001001010101001010110100101000002
- Hexadecimal: 0xF62552B4A0
- Base-36: DHNYINC0
Squares and roots of 1057188132000
- 1057188132000 squared (10571881320002) is 1117646746441649424000000
- 1057188132000 cubed (10571881320003) is 1181562876106525001557435968000000000
-
The
square root of 1057188132000 is 1028196.5434682225 -
The
cube root of 1057188132000 is 10187.1044647015
Scales and comparisons
How big is 1057188132000?- 1,057,188,132,000 seconds is equal to 33,615 years, 16 weeks, 1 day, 18 hours.
-
To count from 1 to 1,057,188,132,000 would take you about eighty-four thousand and thirty-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 1057188132000 cubic inches would be around 848.9 feet tall.
Recreational maths with 1057188132000
- 1057188132000 backwards is 0002318817501
- 1057188132000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1057188132000's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 1057188132000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 1057188132000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/1057188132000/
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The information we have on file for 1057188132000 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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