138306290464800
138,306,290,464,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138306290464800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138306290464800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138306290464800:
25 × 33 × 52 × 313 × 372 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 31 × 37 × 37 × 157)See below for interesting mathematical facts about the number 138306290464800 from the Numbermatics database.
Names of 138306290464800
- Cardinal: 138306290464800 can be written as One hundred thirty-eight trillion, three hundred six billion, two hundred ninety million, four hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383062904648 × 1014
Factors of 138306290464800
Divisors of 138306290464800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 37 40 45 48 50 54 60 62 72 74 75 80 90 93 96 100 108 111 120 124 135 144 148 150 155 157 160 180 185 186 200 216 222 225 240 248 270 279 288 296 300 310 314 333 360 370 372 400 432 444 450 465 471 480 496 540 555 558 592 600 620 628 666 675 720 740 744 775 785 800 837 864 888 900 925 930 942 961 992 999 1080 1110 1116 1147 1184 1200 1240 1256 1332 1350 1369 1395 1413 1440 1480 1488 1550 1570 1665 1674 1776 1800 1850 1860 1884 1922 1998 2160 2220 2232 2294 2325 2355 2400 2480 2512 2664 2700 2738 2775 2790 2826 2883 2960 2976 3100 3140 3330 3348 3441 3552 3600 3700 3720 3768 3844 3925 3996 4107 4185 4239 4320 4440 4464 4588 4650 4710 4805 4867 4960 4995 5024 5328 5400 5476 5550 5580 5652 5735 5766 5809 5920 6200 6280 6660 6696 6845 6882 6975 7065 7200 7400 7440 7536 7688 7850 7992 8214 8325 8370 8478 8649 8880 8928 9176 9300 9420 9610 9734 9990 10323 10656 10800 10952 11100 11160 11304 11470 11532 11618 11775 12321 12400 12560 13320 13392 13690 13764 13950 14130 14415 14601 14800 14880 15072 15376 15700 15984 16428 16650 16740 16956 17205 17298 17427 17760 18352 18600 18840 19220 19468 19980 20535 20646 20925 21195 21600 21904 22200 22320 22608 22940 23064 23236 23550 24025 24335 24642 24800 24975 25120 25947 26640 26784 27380 27528 27900 28260 28675 28830 29045 29202 29600 29791 30752 30969 31400 31968 32856 33300 33480 33912 34225 34410 34596 34854 35325 35557 36704 36963 37200 37680 38440 38936 39960 41070 41292 41850 42390 42439 43245 43803 43808 44400 44640 45216 45880 46128 46472 47100 48050 48670 49284 49950 51615 51894 52281 53280 54760 55056 55800 56520 57350 57660 58090 58404 59582 61605 61938 62800 65712 66600 66960 67824 68450 68820 69192 69708 70650 71114 72075 73005 73926 74400 75360 76880 77872 79920 82140 82584 83700 84780 84878 86025 86490 87135 87606 88800 89373 91760 92256 92944 94200 96100 97340 98568 99900 102675 103230 103788 104562 105975 106671 109520 110112 111600 113040 114700 115320 116180 116808 119164 121675 123210 123876 125600 127317 129735 131409 131424 133200 133920 135648 136900 137640 138384 139416 141300 142228 144150 145225 146010 147852 148955 150877 153760 154845 155744 156843 159840 164280 165168 167400 169560 169756 172050 172980 174270 175212 177785 178746 180079 183520 184815 185888 188400 192200 194680 197136 199800 205350 206460 207576 209124 211950 212195 213342 214933 216225 219015 219040 223200 226080 229400 230640 232360 233616 238328 243350 246420 247752 254634 258075 259470 261405 262818 266400 268119 273800 275280 276768 278832 282600 284456 288300 290450 292020 295704 297910 301754 308025 309690 313686 320013 328560 330336 334800 339120 339512 344100 345960 348540 350424 355570 357492 360158 365025 369630 376800 381951 384400 389360 394272 399600 410700 412920 415152 418248 423900 424390 426684 429866 432450 435675 438030 446865 452631 458800 461280 464720 467232 476656 486700 492840 495504 509268 516150 518940 522810 525636 533355 536238 540237 547600 550560 557664 565200 568912 576600 580900 584040 591408 595820 603508 616050 619380 627372 636585 640026 644799 648675 657045 657120 669600 678240 679024 688200 691920 697080 700848 711140 714984 720316 730050 739260 744775 754385 763902 768800 774225 778720 784215 799200 804357 821400 825840 830304 836496 847800 848780 853368 859732 864900 871350 876060 888925 893730 900395 905262 917600 924075 929440 953312 960039 973400 985680 991008 1018536 1032300 1037880 1045620 1051272 1060975 1066710 1072476 1074665 1080474 1095075 1095200 1102267 1130400 1137824 1145853 1153200 1161800 1168080 1182816 1191640 1207016 1232100 1238760 1254744 1273170 1280052 1289598 1297350 1307025 1314090 1315609 1340595 1357893 1358048 1376400 1383840 1394160 1401696 1422280 1429968 1440632 1460100 1478520 1489550 1508770 1527804 1548450 1568430 1600065 1608714 1620711 1642800 1651680 1672992 1695600 1697560 1706736 1719464 1729800 1742700 1752120 1777850 1787460 1800790 1810524 1848150 1909755 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51224552024 51916775700 55058236650 55768665510 57627621027 58728785760 59486576544 60290449200 61965183900 62300130840 64030690030 69222367600 71959568400 73410982200 74358220680 74760157008 76836828036 77875163550 82620245200 83066841120 88093178640 89229864816 92947775850 93450196260 96046035045 97881309600 99144294240 101027239200 102449104048 103833551400 110116473300 111537331020 115255242054 116812745325 120580898400 123930367800 124600261680 128061380060 138444735200 139421663775 143919136800 146821964400 148716441360 149520314016 153673656072 155750327100 160076725075 165240490400 172882863081 176186357280 178459729632 185895551700 186900392520 192092070090 204898208096 207667102800 220232946600 223074662040 230510484108 233625490650 247860735600 249200523360 256122760120 278843327550 288138105135 293643928800 297432882720 307347312144 311500654200 320153450150 345765726162 371791103400 373800785040 384184140180 415334205600 440465893200 446149324080 461020968216 467250981300 480230175225 495721471200 512245520240 557686655100 576276210270 614694624288 623001308400 640306900300 691531452324 743582206800 747601570080 768368280360 864414315405 880931786400 892298648160 922041936432 934501962600 960460350450 1024491040480 1115373310200 1152552420540 1246002616800 1280613800600 1383062904648 1440690525675 1487164413600 1536736560720 1728828630810 1844083872864 1869003925200 1920920700900 2230746620400 2305104841080 2561227601200 2766125809296 2881381051350 3073473121440 3457657261620 3738007850400 3841841401800 4322071577025 4461493240800 4610209682160 5122455202400 5532251618592 5762762102700 6915314523240 7683682803600 8644143154050 9220419364320 11525524205400 13830629046480 15367365607200 17288286308100 23051048410800 27661258092960 34576572616200 46102096821600 69153145232400 138306290464800
- Sum of all divisors σ(n): 534611712660480
- Sum of proper divisors (its aliquot sum) s(n): 396305422195680
- 138306290464800 is an abundant number, because the sum of its proper divisors (396305422195680) is greater than itself. Its abundance is 257999131730880
Bases of 138306290464800
- Binary: 111110111001001111100010101000000111000001000002
- Hexadecimal: 0x7DC9F1503820
- Base-36: 1D0X16DOO0
Squares and roots of 138306290464800
- 138306290464800 squared (1383062904648002) is 19128629982133627400039040000
- 138306290464800 cubed (1383062904648003) is 2645609854502655505637455493099745792000000
-
The
square root of 138306290464800 is 11760369.4867465789 -
The
cube root of 138306290464800 is 51714.6961981727
Scales and comparisons
How big is 138306290464800?- 138,306,290,464,800 seconds is equal to 4,397,712 years, 11 weeks, 5 days, 18 hours.
-
To count from 1 to 138,306,290,464,800 would take you about ten million, nine hundred ninety-four thousand, two hundred eighty 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 138306290464800 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138306290464800
- 138306290464800 backwards is 008464092603831
- 138306290464800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138306290464800's digits is 54
- More coming soon!
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"Number 138306290464800 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138306290464800 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138306290464800/
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The information we have on file for 138306290464800 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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