45231025664000
45,231,025,664,000 is an even composite number composed of six prime numbers multiplied together.
45231025664000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 45231025664000:
212 × 53 × 11 × 312 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 31 × 61 × 137)See below for interesting mathematical facts about the number 45231025664000 from the Numbermatics database.
Names of 45231025664000
- Cardinal: 45231025664000 can be written as Forty-five trillion, two hundred thirty-one billion, twenty-five million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.5231025664 × 1013
Factors of 45231025664000
Divisors of 45231025664000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 61 62 64 80 88 100 110 122 124 125 128 137 155 160 176 200 220 244 248 250 256 274 275 305 310 320 341 352 400 440 488 496 500 512 548 550 610 620 640 671 682 685 704 775 800 880 961 976 992 1000 1024 1096 1100 1220 1240 1280 1342 1364 1370 1375 1408 1507 1525 1550 1600 1705 1760 1891 1922 1952 1984 2000 2048 2192 2200 2440 2480 2560 2684 2728 2740 2750 2816 3014 3050 3100 3200 3355 3410 3425 3520 3782 3844 3875 3904 3968 4000 4096 4247 4384 4400 4805 4880 4960 5120 5368 5456 5480 5500 5632 6028 6100 6200 6400 6710 6820 6850 7040 7535 7564 7625 7688 7750 7808 7936 8000 8357 8494 8525 8768 8800 9455 9610 9760 9920 10240 10571 10736 10912 10960 11000 11264 12056 12200 12400 12800 13420 13640 13700 14080 15070 15128 15250 15376 15500 15616 15872 16000 16714 16775 16988 17050 17125 17536 17600 18910 19220 19520 19840 20480 20801 21142 21235 21472 21824 21920 22000 22528 24025 24112 24400 24800 25600 26840 27280 27400 28160 30140 30256 30500 30752 31000 31232 31744 32000 33428 33550 33976 34100 34250 35072 35200 37675 37820 38440 39040 39680 41602 41785 42284 42470 42625 42944 43648 43840 44000 45056 46717 47275 48050 48224 48800 49600 51200 52855 53680 54560 54800 56320 58621 60280 60512 61000 61504 62000 62464 63488 64000 66856 67100 67952 68200 68500 70144 70400 75350 75640 76880 78080 79360 83204 83570 83875 84568 84940 85250 85888 87296 87680 88000 91927 93434 94550 96100 96448 97600 99200 102400 104005 105710 106175 107360 109120 109600 112640 117242 120125 120560 121024 122000 123008 124000 124928 126976 128000 131657 133712 134200 135904 136400 137000 140288 140800 150700 151280 153760 156160 158720 166408 167140 167750 169136 169880 170500 171776 174592 175360 176000 183854 186868 188375 189100 192200 192896 195200 198400 208010 208925 211420 212350 214720 218240 219200 225280 233585 234484 236375 240250 241120 242048 244000 246016 248000 249856 256000 259067 263314 264275 267424 268400 271808 272800 274000 280576 281600 293105 301400 302560 307520 312320 317440 332816 334280 335500 338272 339760 341000 343552 349184 350720 352000 367708 373736 376750 378200 384400 385792 390400 396800 416020 417850 422840 424700 429440 436480 438400 459635 467170 468968 472750 480500 482240 484096 488000 492032 496000 512000 518134 520025 526628 528550 530875 534848 536800 543616 545600 548000 561152 563200 586210 602800 605120 615040 624640 634880 644831 658285 665632 668560 671000 676544 679520 682000 687104 698368 701440 704000 735416 747472 753500 756400 768800 771584 780800 793600 832040 835700 845680 849400 858880 872960 876800 919270 934340 937936 945500 961000 964480 968192 976000 984064 992000 1036268 1040050 1044625 1053256 1057100 1061750 1069696 1073600 1087232 1091200 1096000 1126400 1167925 1172420 1205600 1210240 1230080 1249280 1289662 1295335 1316570 1321375 1331264 1337120 1342000 1353088 1359040 1364000 1374208 1396736 1402880 1408000 1448227 1465525 1470832 1494944 1507000 1512800 1537600 1543168 1561600 1587200 1664080 1671400 1691360 1698800 1717760 1745920 1753600 1838540 1868680 1875872 1891000 1922000 1928960 1936384 1952000 1968128 1984000 2072536 2080100 2089250 2106512 2114200 2123500 2139392 2147200 2174464 2182400 2192000 2298175 2335850 2344840 2411200 2420480 2460160 2579324 2590670 2600125 2633140 2642750 2662528 2674240 2684000 2706176 2718080 2728000 2748416 2805760 2816000 2849737 2896454 2931050 2941664 2989888 3014000 3025600 3075200 3086336 3123200 3174400 3224155 3291425 3328160 3342800 3382720 3397600 3435520 3491840 3507200 3677080 3737360 3751744 3782000 3844000 3857920 3872768 3904000 3936256 3968000 4145072 4160200 4178500 4213024 4228400 4247000 4278784 4294400 4348928 4364800 4384000 4596350 4671700 4689680 4822400 4840960 4920320 5158648 5181340 5200250 5266280 5285500 5325056 5348480 5368000 5412352 5436160 5456000 5632000 5699474 5792908 5839625 5862100 5883328 5979776 6028000 6051200 6150400 6172672 6246400 6448310 6476675 6582850 6656320 6685600 6765440 6795200 6871040 6983680 7014400 7241135 7327625 7354160 7474720 7503488 7564000 7688000 7715840 7745536 7808000 7936000 8031077 8290144 8320400 8357000 8426048 8456800 8494000 8557568 8588800 8697856 8729600 8768000 9192700 9343400 9379360 9644800 9681920 9840640 10317296 10362680 10400500 10532560 10571000 10650112 10696960 10736000 10824704 10872320 10912000 11398948 11490875 11585816 11679250 11724200 11766656 11959552 12056000 12102400 12300800 12896620 12953350 13165700 13312640 13371200 13530880 13590400 13742080 14028800 14248685 14482270 14655250 14708320 14949440 15006976 15128000 15376000 15431680 15616000 15872000 16062154 16120775 16457125 16580288 16640800 16714000 16852096 16913600 16988000 17115136 17177600 17395712 17459200 17536000 18385400 18686800 18758720 19289600 19363840 19681280 20634592 20725360 20801000 21065120 21142000 21300224 21393920 21472000 21649408 21744640 21824000 22797896 22981750 23171632 23358500 23448400 23533312 23919104 24112000 24204800 24601600 25793240 25906700 26331400 26625280 26742400 27061760 27180800 28497370 28964540 29310500 29416640 29898880 30013952 30256000 30752000 30863360 31232000 32124308 32241550 32383375 32914250 33160576 33281600 33428000 33704192 33827200 33976000 34230272 34355200 34918400 35072000 36205675 36770800 37373600 37517440 38579200 38727680 40155385 41269184 41450720 41602000 42130240 42284000 42600448 42787840 42944000 43298816 43489280 43648000 45595792 45963500 46343264 46717000 46896800 47066624 47838208 48224000 48409600 49203200 51586480 51813400 52662800 53250560 53484800 54123520 54361600 56994740 57929080 58621000 58833280 59797760 60027904 60512000 61504000 64248616 64483100 64766750 65828500 66321152 66563200 66856000 67408384 67654400 67952000 68710400 70144000 71243425 72411350 73541600 74747200 75034880 77158400 80310770 80603875 82538368 82901440 83204000 84260480 84568000 85200896 85575680 85888000 86978560 87296000 88341847 91191584 91927000 92686528 93434000 93793600 94133248 95676416 96448000 96819200 98406400 103172960 103626800 105325600 106501120 106969600 108247040 108723200 113989480 115858160 117242000 117666560 119595520 120055808 121024000 123008000 128497232 128966200 129533500 131657000 132642304 133126400 133712000 134816768 135308800 135904000 142486850 144822700 147083200 149494400 150069760 154316800 160621540 161207750 165076736 165802880 166408000 168520960 169136000 171151360 171776000 174592000 176683694 181028375 182383168 183854000 185373056 186868000 187587200 188266496 191352832 192896000 193638400 200776925 206345920 207253600 210651200 213002240 213939200 216494080 217446400 227978960 231716320 234484000 235333120 239191040 240111616 242048000 246016000 256994464 257932400 259067000 263314000 265284608 266252800 267424000 269633536 270617600 271808000 284973700 289645400 294166400 298988800 300139520 321243080 322415500 330153472 331605760 332816000 337041920 338272000 343552000 353367388 356217125 362056750 364766336 367708000 370746112 373736000 375174400 376532992 385792000 401553850 412691840 414507200 421302400 426004480 427878400 434892800 441709235 455957920 463432640 468968000 470666240 478382080 484096000 492032000 513988928 515864800 518134000 526628000 530569216 532505600 534848000 539267072 541235200 543616000 569947400 579290800 588332800 597977600 600279040 642486160 644831000 660306944 663211520 665632000 674083840 676544000 706734776 712434250 724113500 729532672 735416000 741492224 747472000 750348800 771584000 803107700 825383680 829014400 842604800 855756800 883418470 911915840 926865280 937936000 941332480 956764160 968192000 1003884625 1027977856 1031729600 1036268000 1053256000 1061138432 1065011200 1069696000 1082470400 1087232000 1139894800 1158581600 1176665600 1195955200 1200558080 1284972320 1289662000 1320613888 1326423040 1331264000 1348167680 1353088000 1413469552 1424868500 1448227000 1459065344 1470832000 1482984448 1494944000 1500697600 1606215400 1650767360 1658028800 1685209600 1766836940 1823831680 1853730560 1875872000 1882664960 2007769250 2055955712 2063459200 2072536000 2106512000 2130022400 2139392000 2174464000 2208546175 2279789600 2317163200 2353331200 2391910400 2569944640 2579324000 2641227776 2652846080 2662528000 2696335360 2706176000 2826939104 2849737000 2896454000 2918130688 2941664000 2965968896 2989888000 3001395200 3212430800 3301534720 3316057600 3370419200 3533673880 3647663360 3707461120 3751744000 4015538500 4111911424 4126918400 4145072000 4213024000 4278784000 4417092350 4559579200 4634326400 4706662400 4783820800 5139889280 5158648000 5305692160 5325056000 5412352000 5653878208 5699474000 5792908000 5836261376 5883328000 5931937792 5979776000 6002790400 6424861600 6603069440 6632115200 6740838400 7067347760 7295326720 7414922240 7503488000 8031077000 8223822848 8253836800 8290144000 8426048000 8834184700 9119158400 9268652800 9413324800 10279778560 10317296000 10650112000 11042730875 11307756416 11398948000 11585816000 11672522752 11766656000 11959552000 12849723200 13206138880 13264230400 13481676800 14134695520 14590653440 14829844480 15006976000 16062154000 16447645696 16507673600 16580288000 16852096000 17668369400 18238316800 18537305600 20559557120 20634592000 22085461750 22615512832 22797896000 23171632000 23533312000 23919104000 25699446400 26528460800 28269391040 29181306880 29659688960 30013952000 32124308000 32895291392 33015347200 33160576000 33704192000 35336738800 36476633600 37074611200 41119114240 41269184000 44170923500 45231025664 45595792000 46343264000 47066624000 51398892800 56538782080 58362613760 64248616000 66030694400 66321152000 67408384000 70673477600 72953267200 74149222400 82238228480 82538368000 88341847000 90462051328 91191584000 92686528000 102797785600 113077564160 128497232000 132642304000 141346955200 145906534400 148298444800 164476456960 165076736000 176683694000 180924102656 182383168000 185373056000 205595571200 226155128320 256994464000 282693910400 291813068800 330153472000 353367388000 361848205312 364766336000 370746112000 411191142400 452310256640 513988928000 565387820800 706734776000 729532672000 741492224000 822382284800 904620513280 1027977856000 1130775641600 1413469552000 1459065344000 1809241026560 2055955712000 2261551283200 2826939104000 4111911424000 4523102566400 5653878208000 9046205132800 11307756416000 22615512832000 45231025664000
- Sum of all divisors σ(n): 130275513815616
- Sum of proper divisors (its aliquot sum) s(n): 85044488151616
- 45231025664000 is an abundant number, because the sum of its proper divisors (85044488151616) is greater than itself. Its abundance is 39813462487616
Bases of 45231025664000
- Binary: 10100100100011001010110011011110110000000000002
- Hexadecimal: 0x29232B37B000
- Base-36: G16UGULFK
Squares and roots of 45231025664000
- 45231025664000 squared (452310256640002) is 2045845682617426640896000000
- 45231025664000 cubed (452310256640003) is 92535698575052423088004287954944000000000
-
The
square root of 45231025664000 is 6725401.5243701249 -
The
cube root of 45231025664000 is 35629.6983338499
Scales and comparisons
How big is 45231025664000?- 45,231,025,664,000 seconds is equal to 1,438,206 years, 36 weeks, 5 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 45,231,025,664,000 would take you about three million, five hundred ninety-five thousand, five hundred sixteen 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 45231025664000 cubic inches would be around 2969.1 feet tall.
Recreational maths with 45231025664000
- 45231025664000 backwards is 00046652013254
- The number of decimal digits it has is: 14
- The sum of 45231025664000's digits is 38
- More coming soon!
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The information we have on file for 45231025664000 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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