45348468864000
45,348,468,864,000 is an even composite number composed of six prime numbers multiplied together.
45348468864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 45348468864000:
210 × 3 × 53 × 17 × 53 × 131071
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 53 × 131071)See below for interesting mathematical facts about the number 45348468864000 from the Numbermatics database.
Names of 45348468864000
- Cardinal: 45348468864000 can be written as Forty-five trillion, three hundred forty-eight billion, four hundred sixty-eight million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.5348468864 × 1013
Factors of 45348468864000
Divisors of 45348468864000
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 53 60 64 68 75 80 85 96 100 102 106 120 125 128 136 150 159 160 170 192 200 204 212 240 250 255 256 265 272 300 318 320 340 375 384 400 408 424 425 480 500 510 512 530 544 600 636 640 680 750 768 795 800 816 848 850 901 960 1000 1020 1024 1060 1088 1200 1272 1275 1280 1325 1360 1500 1536 1590 1600 1632 1696 1700 1802 1920 2000 2040 2120 2125 2176 2400 2544 2550 2560 2650 2703 2720 3000 3072 3180 3200 3264 3392 3400 3604 3840 3975 4000 4080 4240 4250 4352 4505 4800 5088 5100 5120 5300 5406 5440 6000 6360 6375 6400 6528 6625 6784 6800 7208 7680 7950 8000 8160 8480 8500 8704 9010 9600 10176 10200 10600 10812 10880 12000 12720 12750 12800 13056 13250 13515 13568 13600 14416 15360 15900 16000 16320 16960 17000 17408 18020 19200 19875 20352 20400 21200 21624 21760 22525 24000 25440 25500 25600 26112 26500 27030 27136 27200 28832 31800 32000 32640 33920 34000 36040 38400 39750 40704 40800 42400 43248 43520 45050 48000 50880 51000 52224 53000 54060 54272 54400 57664 63600 64000 65280 67575 67840 68000 72080 76800 79500 81408 81600 84800 86496 87040 90100 96000 101760 102000 106000 108120 108800 112625 115328 127200 128000 130560 131071 135150 135680 136000 144160 159000 162816 163200 169600 172992 180200 192000 203520 204000 212000 216240 217600 225250 230656 254400 261120 262142 270300 271360 272000 288320 318000 326400 337875 339200 345984 360400 384000 393213 407040 408000 424000 432480 435200 450500 461312 508800 524284 540600 544000 576640 636000 652800 655355 675750 678400 691968 720800 786426 814080 816000 848000 864960 901000 922624 1017600 1048568 1081200 1088000 1153280 1272000 1305600 1310710 1351500 1356800 1383936 1441600 1572852 1632000 1696000 1729920 1802000 1966065 2035200 2097136 2162400 2176000 2228207 2306560 2544000 2621420 2703000 2767872 2883200 3145704 3264000 3276775 3392000 3459840 3604000 3932130 4070400 4194272 4324800 4456414 4613120 5088000 5242840 5406000 5766400 6291408 6528000 6553550 6684621 6784000 6919680 6946763 7208000 7864260 8388544 8649600 8912828 9830325 10176000 10485680 10812000 11141035 11532800 12582816 13107100 13369242 13839360 13893526 14416000 15728520 16383875 16777088 17299200 17825656 19660650 20352000 20840289 20971360 21624000 22282070 23065600 25165632 26214200 26738484 27787052 28832000 31457040 32767750 33423105 33554176 34598400 34733815 35651312 39321300 41680578 41942720 43248000 44564140 49151625 50331264 52428400 53476968 55574104 55705175 57664000 62914080 65535500 66846210 67108352 69196800 69467630 71302624 78642600 83361156 83885440 86496000 89128280 98303250 100662528 104201445 104856800 106953936 111148208 111410350 115328000 118094971 125828160 131071000 133692420 134216704 138935260 142605248 157285200 166722312 167115525 167770880 172992000 173669075 178256560 196606500 201325056 208402890 209713600 213907872 222296416 222820700 236189942 251656320 262142000 267384840 277870520 278525875 285210496 314570400 333444624 334231050 335541760 345984000 347338150 354284913 356513120 393213000 402650112 416805780 419427200 427815744 444592832 445641400 472379884 503312640 521007225 524284000 534769680 555741040 557051750 570420992 590474855 629140800 666889248 668462100 671083520 694676300 708569826 713026240 786426000 833611560 835577625 838854400 855631488 868345375 889185664 891282800 944759768 1006625280 1042014450 1048568000 1069539360 1111482080 1114103500 1140841984 1180949710 1258281600 1333778496 1336924200 1389352600 1417139652 1426052480 1572852000 1667223120 1671155250 1677708800 1711262976 1736690750 1771424565 1778371328 1782565600 1889519536 2013250560 2084028900 2097136000 2139078720 2222964160 2228207000 2281683968 2361899420 2516563200 2605036125 2667556992 2673848400 2778705200 2834279304 2852104960 2952374275 3145704000 3334446240 3342310500 3355417600 3422525952 3473381500 3542849130 3556742656 3565131200 3779039072 4168057800 4194272000 4278157440 4445928320 4456414000 4723798840 5033126400 5210072250 5335113984 5347696800 5557410400 5668558608 5704209920 5904748550 6291408000 6668892480 6684621000 6845051904 6946763000 7085698260 7113485312 7130262400 7558078144 8336115600 8388544000 8556314880 8857122825 8891856640 8912828000 9447597680 10066252800 10420144500 10670227968 10695393600 11114820800 11337117216 11408419840 11809497100 12582816000 13337784960 13369242000 13893526000 14171396520 14260524800 14761871375 15116156288 16672231200 16777088000 17112629760 17714245650 17783713280 17825656000 18895195360 20840289000 21340455936 21390787200 22229641600 22674234432 23618994200 25165632000 26675569920 26738484000 27787052000 28342793040 28521049600 29523742750 30232312576 33344462400 34225259520 35428491300 35567426560 35651312000 37790390720 41680578000 42781574400 44285614125 44459283200 45348468864 47237988400 50331264000 53351139840 53476968000 55574104000 56685586080 57042099200 59047485500 60464625152 66688924800 70856982600 71302624000 75580781440 83361156000 85563148800 88571228250 88918566400 90696937728 94475976800 106702279680 106953936000 111148208000 113371172160 118094971000 120929250304 133377849600 141713965200 142605248000 151161562880 166722312000 171126297600 177142456500 177837132800 181393875456 188951953600 213907872000 222296416000 226742344320 236189942000 266755699200 283427930400 285210496000 302323125760 333444624000 354284913000 362787750912 377903907200 427815744000 444592832000 453484688640 472379884000 533511398400 566855860800 604646251520 666889248000 708569826000 755807814400 855631488000 889185664000 906969377280 944759768000 1133711721600 1333778496000 1417139652000 1511615628800 1813938754560 1889519536000 2267423443200 2667556992000 2834279304000 3023231257600 3779039072000 4534846886400 5668558608000 7558078144000 9069693772800 11337117216000 15116156288000 22674234432000 45348468864000
- Sum of all divisors σ(n): 162734121418752
- Sum of proper divisors (its aliquot sum) s(n): 117385652554752
- 45348468864000 is an abundant number, because the sum of its proper divisors (117385652554752) is greater than itself. Its abundance is 72037183690752
Bases of 45348468864000
- Binary: 10100100111110100000110110000010110100000000002
- Hexadecimal: 0x293E8360B400
- Base-36: G2OSRHYIO
Squares and roots of 45348468864000
- 45348468864000 squared (453484688640002) is 2056483628309177450496000000
- 45348468864000 cubed (453484688640003) is 93258383787704482579268757356544000000000
-
The
square root of 45348468864000 is 6734127.1790782211 -
The
cube root of 45348468864000 is 35660.5094070029
Scales and comparisons
How big is 45348468864000?- 45,348,468,864,000 seconds is equal to 1,441,941 years, 1 week, 6 days, 18 hours, 40 minutes.
-
To count from 1 to 45,348,468,864,000 would take you about three million, six hundred four thousand, eight hundred fifty-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 45348468864000 cubic inches would be around 2971.7 feet tall.
Recreational maths with 45348468864000
- 45348468864000 backwards is 00046886484354
- 45348468864000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 45348468864000's digits is 60
- More coming soon!
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