1468390144000
1,468,390,144,000 is an even composite number composed of six prime numbers multiplied together.
1468390144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1468390144000:
211 × 53 × 13 × 31 × 43 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 31 × 43 × 331)See below for interesting mathematical facts about the number 1468390144000 from the Numbermatics database.
Names of 1468390144000
- Cardinal: 1468390144000 can be written as One trillion, four hundred sixty-eight billion, three hundred ninety million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.468390144 × 1012
Factors of 1468390144000
Divisors of 1468390144000
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 43 50 52 62 64 65 80 86 100 104 124 125 128 130 155 160 172 200 208 215 248 250 256 260 310 320 325 331 344 400 403 416 430 496 500 512 520 559 620 640 650 662 688 775 800 806 832 860 992 1000 1024 1040 1075 1118 1240 1280 1300 1324 1333 1376 1550 1600 1612 1625 1655 1664 1720 1984 2000 2015 2048 2080 2150 2236 2480 2560 2600 2648 2666 2752 2795 3100 3200 3224 3250 3310 3328 3440 3875 3968 4000 4030 4160 4300 4303 4472 4960 5120 5200 5296 5332 5375 5504 5590 6200 6400 6448 6500 6620 6656 6665 6880 7750 7936 8000 8060 8275 8320 8600 8606 8944 9920 10075 10240 10261 10400 10592 10664 10750 11008 11180 12400 12800 12896 13000 13240 13312 13330 13760 13975 14233 15500 15872 16000 16120 16550 16640 17200 17212 17329 17888 19840 20150 20522 20800 21184 21328 21500 21515 22016 22360 24800 25600 25792 26000 26480 26624 26660 27520 27950 28466 31000 31744 32000 32240 33100 33280 33325 34400 34424 34658 35776 39680 40300 41044 41375 41600 42368 42656 43000 43030 44032 44720 49600 50375 51200 51305 51584 52000 52960 53320 55040 55900 56932 62000 63488 64000 64480 66200 66560 66650 68800 68848 69316 69875 71165 71552 79360 80600 82088 82750 83200 84736 85312 86000 86060 86645 88064 89440 99200 100750 102610 103168 104000 105920 106640 107575 110080 111800 113864 124000 128000 128960 132400 133120 133300 133393 137600 137696 138632 139750 142330 143104 158720 161200 164176 165500 166400 166625 169472 170624 172000 172120 173290 178880 185029 198400 201500 205220 206336 208000 211840 213280 215150 220160 223600 227728 248000 256000 256525 257920 264800 266600 266786 275200 275392 277264 279500 284660 286208 317440 322400 328352 331000 332800 333250 338944 341248 344000 344240 346580 355825 357760 370058 396800 403000 410440 412672 416000 423680 426560 430300 433225 440320 441223 447200 455456 496000 513050 515840 529600 533200 533572 537875 550400 550784 554528 559000 569320 572416 644800 656704 662000 665600 666500 666965 677888 682496 688000 688480 693160 711650 715520 740116 793600 806000 820880 825344 832000 847360 853120 860600 866450 882446 894400 910912 925145 992000 1026100 1031680 1059200 1066400 1067144 1075750 1100800 1101568 1109056 1118000 1138640 1144832 1282625 1289600 1313408 1324000 1333000 1333930 1364992 1376000 1376960 1386320 1423300 1431040 1480232 1587200 1612000 1641760 1664000 1694720 1706240 1721200 1732900 1764892 1779125 1788800 1821824 1850290 1984000 2052200 2063360 2118400 2132800 2134288 2151500 2166125 2201600 2203136 2206115 2218112 2236000 2277280 2565250 2579200 2626816 2648000 2666000 2667860 2729984 2752000 2753920 2772640 2846600 2862080 2960464 3224000 3283520 3328000 3334825 3389440 3412480 3442400 3465800 3529784 3558250 3577600 3643648 3700580 3968000 4104400 4126720 4236800 4265600 4268576 4303000 4332250 4406272 4412230 4436224 4472000 4554560 4625725 5130500 5158400 5253632 5296000 5332000 5335720 5504000 5507840 5545280 5693200 5724160 5735899 5920928 6448000 6567040 6669650 6824960 6884800 6931600 7059568 7116500 7155200 7287296 7401160 7936000 8208800 8473600 8531200 8537152 8606000 8664500 8812544 8824460 8872448 8944000 9109120 9251450 10261000 10316800 10507264 10592000 10664000 10671440 11008000 11015680 11030575 11090560 11386400 11471798 11841856 12896000 13134080 13339300 13649920 13769600 13863200 14119136 14233000 14310400 14574592 14802320 16417600 16674125 16947200 17062400 17074304 17212000 17329000 17648920 17744896 17888000 18218240 18502900 20522000 20633600 21014528 21184000 21328000 21342880 22031360 22061150 22181120 22772800 22943596 23128625 23683712 25792000 26268160 26678600 27539200 27726400 28238272 28466000 28620800 28679495 29149184 29604640 32835200 33348250 34124800 34148608 34424000 34658000 35297840 35489792 35776000 36436480 37005800 41044000 42368000 42656000 42685760 44062720 44122300 44362240 45545600 45887192 46257250 47367424 51584000 52536320 53357200 55078400 55152875 55452800 56476544 56932000 57358990 59209280 65670400 66696500 68249600 68297216 68848000 69316000 70595680 71552000 72872960 74011600 82088000 84736000 85312000 85371520 88244600 88724480 91091200 91774384 92514500 94734848 103168000 105072640 106714400 110156800 110305750 110905600 112953088 113864000 114717980 118418560 131340800 133393000 136594432 137696000 138632000 141191360 143104000 143397475 145745920 148023200 164176000 170624000 170743040 176489200 177448960 182182400 183548768 185029000 189469696 213428800 220313600 220611500 221811200 225906176 227728000 229435960 236837120 262681600 266786000 273188864 275392000 277264000 282382720 286794950 296046400 328352000 341248000 341486080 352978400 364364800 367097536 370058000 378939392 426857600 441223000 443622400 451812352 455456000 458871920 473674240 525363200 533572000 550784000 554528000 564765440 573589900 592092800 656704000 682972160 705956800 716987375 728729600 734195072 740116000 853715200 882446000 887244800 903624704 910912000 917743840 947348480 1067144000 1101568000 1109056000 1129530880 1147179800 1184185600 1313408000 1365944320 1411913600 1433974750 1468390144 1480232000 1707430400 1764892000 1821824000 1835487680 1894696960 2134288000 2218112000 2259061760 2294359600 2368371200 2626816000 2823827200 2867949500 2936780288 2960464000 3414860800 3529784000 3643648000 3670975360 4268576000 4436224000 4518123520 4588719200 4736742400 5647654400 5735899000 5873560576 5920928000 6829721600 7059568000 7341950720 8537152000 9177438400 9473484800 11295308800 11471798000 11747121152 11841856000 14119136000 14683901440 17074304000 18354876800 22590617600 22943596000 23683712000 28238272000 29367802880 34148608000 36709753600 45887192000 47367424000 56476544000 58735605760 73419507200 91774384000 112953088000 146839014400 183548768000 293678028800 367097536000 734195072000 1468390144000
- Sum of all divisors σ(n): 4180683386880
- Sum of proper divisors (its aliquot sum) s(n): 2712293242880
- 1468390144000 is an abundant number, because the sum of its proper divisors (2712293242880) is greater than itself. Its abundance is 1243903098880
Bases of 1468390144000
- Binary: 101010101111000101101111101111000000000002
- Hexadecimal: 0x155E2DF7800
- Base-36: IQKHKUF4
Squares and roots of 1468390144000
- 1468390144000 squared (14683901440002) is 2156169614996340736000000
- 1468390144000 cubed (14683901440003) is 3166098211452901332808105984000000000
-
The
square root of 1468390144000 is 1211771.4900095645 -
The
cube root of 1468390144000 is 11366.1614396727
Scales and comparisons
How big is 1468390144000?- 1,468,390,144,000 seconds is equal to 46,690 years, 13 weeks, 5 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 1,468,390,144,000 would take you about one hundred sixteen thousand, seven hundred twenty-five 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 1468390144000 cubic inches would be around 947.2 feet tall.
Recreational maths with 1468390144000
- 1468390144000 backwards is 0004410938641
- 1468390144000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1468390144000's digits is 40
- More coming soon!
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The information we have on file for 1468390144000 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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