12738015313920
12,738,015,313,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 12738015313920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1800 divisors.
12738015313920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 12738015313920:
214 × 34 × 5 × 132 × 37 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 37 × 307)See below for interesting mathematical facts about the number 12738015313920 from the Numbermatics database.
Names of 12738015313920
- Cardinal: 12738015313920 can be written as Twelve trillion, seven hundred thirty-eight billion, fifteen million, three hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.273801531392 × 1013
Factors of 12738015313920
Divisors of 12738015313920
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 37 39 40 45 48 52 54 60 64 65 72 74 78 80 81 90 96 104 108 111 117 120 128 130 135 144 148 156 160 162 169 180 185 192 195 208 216 222 234 240 256 260 270 288 296 307 312 320 324 333 338 351 360 370 384 390 405 416 432 444 468 480 481 507 512 520 540 555 576 585 592 614 624 640 648 666 676 702 720 740 768 780 810 832 845 864 888 921 936 960 962 999 1014 1024 1040 1053 1080 1110 1152 1170 1184 1228 1248 1280 1296 1332 1352 1404 1440 1443 1480 1521 1535 1536 1560 1620 1664 1665 1690 1728 1755 1776 1842 1872 1920 1924 1998 2028 2048 2080 2106 2160 2220 2304 2340 2368 2405 2456 2496 2535 2560 2592 2664 2704 2763 2808 2880 2886 2960 2997 3042 3070 3072 3120 3240 3328 3330 3380 3456 3510 3552 3684 3744 3840 3848 3991 3996 4056 4096 4160 4212 4320 4329 4440 4563 4605 4608 4680 4736 4810 4912 4992 4995 5070 5120 5184 5265 5328 5408 5526 5616 5760 5772 5920 5994 6084 6140 6144 6240 6253 6480 6656 6660 6760 6912 7020 7104 7215 7368 7488 7605 7680 7696 7982 7992 8112 8192 8289 8320 8424 8640 8658 8880 9126 9210 9216 9360 9472 9620 9824 9984 9990 10140 10240 10368 10530 10656 10816 11052 11232 11359 11520 11544 11840 11973 11988 12168 12280 12288 12480 12506 12960 12987 13312 13320 13520 13689 13815 13824 14040 14208 14430 14736 14976 14985 15210 15360 15392 15964 15984 16224 16384 16578 16640 16848 17280 17316 17760 18252 18420 18432 18720 18759 18944 19240 19648 19955 19968 19980 20280 20480 20736 21060 21312 21632 21645 22104 22464 22718 22815 23040 23088 23680 23946 23976 24336 24560 24576 24867 24960 25012 25920 25974 26624 26640 27040 27378 27630 27648 28080 28416 28860 29472 29952 29970 30420 30720 30784 31265 31928 31968 32448 33156 33280 33696 34077 34560 34632 35520 35919 36504 36840 36864 37440 37518 37888 38480 38961 39296 39910 39936 39960 40560 40960 41445 41472 42120 42624 43264 43290 44208 44928 45436 45630 46080 46176 47360 47892 47952 48672 49120 49152 49734 49920 50024 51840 51883 51948 53248 53280 54080 54756 55260 55296 56160 56277 56795 56832 57720 58944 59865 59904 59940 60840 61440 61568 62530 63856 63936 64896 64935 66312 66560 67392 68154 68445 69120 69264 71040 71838 73008 73680 73728 74880 75036 75776 76960 77922 78592 79820 79872 79920 81120 81920 82890 82944 84240 85248 86528 86580 88416 89856 90872 91260 92160 92352 93795 94720 95784 95904 97344 98240 99468 99840 100048 102231 103680 103766 103896 106496 106560 107757 108160 109512 110520 110592 112320 112554 113590 113664 115440 117888 119730 119808 119880 121680 122880 123136 124335 125060 127712 127872 129792 129870 132624 133120 134784 136308 136890 138240 138528 142080 143676 146016 147360 147456 147667 149760 150072 151552 153920 155649 155844 157184 159640 159744 159840 162240 165780 165888 168480 168831 170385 170496 173056 173160 176832 179595 179712 181744 182520 184320 184704 187590 189440 191568 191808 194688 194805 196480 198936 199680 200096 204462 207360 207532 207792 212992 213120 215514 216320 219024 221040 221184 224640 225108 227180 227328 230880 235776 239460 239616 239760 243360 245760 246272 248670 250120 255424 255744 259415 259584 259740 265248 266240 269568 272616 273780 276480 277056 281385 284160 287352 292032 294720 295334 299520 300144 303104 306693 307840 311298 311688 314368 319280 319488 319680 323271 324480 331560 331776 336960 337662 340770 340992 346112 346320 353664 359190 359424 363488 365040 368640 369408 375180 378880 383136 383616 389376 389610 392960 397872 399360 400192 408924 414720 415064 415584 426240 431028 432640 438048 442080 442368 443001 449280 450216 454360 454656 461760 466947 471552 478920 479232 479520 486720 492544 497340 500240 506493 510848 511155 511488 518830 519168 519480 530496 532480 538785 539136 545232 547560 552960 554112 562770 568320 574704 584064 589440 590668 599040 600288 606208 613386 615680 622596 623376 628736 638560 638976 639360 646542 648960 663120 663552 673920 675324 681540 681984 692224 692640 707328 718380 718848 726976 730080 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672403680 679034880 680449536 691081560 691531776 697896960 717230592 735621120 737153664 756055040 765505728 768368640 777466755 785134080 796922880 797921280 827573760 829297872 837476352 850051072 850561920 864414720 882745344 896538240 907266048 921442080 922042368 930529280 942160896 956307456 956882160 980828160 982871552 1018552320 1020674304 1036622340 1037297664 1046845440 1062563840 1063895040 1075845888 1103431680 1105730496 1121402880 1134082560 1152552960 1177701120 1195384320 1209688064 1228589440 1243946808 1256214528 1275076608 1275842880 1296622080 1324118016 1344807360 1360899072 1382163120 1383063552 1395793920 1434461184 1471242240 1474307328 1512110080 1531011456 1536737280 1554933510 1570268160 1593845760 1595842560 1655147520 1658595744 1674952704 1701123840 1728829440 1765490688 1793076480 1814532096 1842884160 1884321792 1912614912 1913764320 1965743104 2037104640 2041348608 2073244680 2074595328 2093690880 2125127680 2151691776 2206863360 2211460992 2268165120 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10887192576 11057304960 11475689472 11794458624 12096880640 12248091648 12439468080 12562145280 12750766080 13241180160 13268765952 13608990720 13830635520 14344611840 14743073280 15074574336 15310114560 15725944832 16330788864 16585957440 17213534208 17691687936 18145320960 18843217920 19126149120 19657431040 19903148928 20413486080 20745953280 21516917760 21774385152 22114609920 22951378944 23588917248 24496183296 24878936160 25124290560 26482360320 26537531904 27217981440 28689223680 29486146560 30620229120 31451889664 32661577728 33171914880 34427068416 35383375872 36290641920 37686435840 38252298240 39314862080 39806297856 40826972160 41491906560 43033835520 44229219840 47177834496 48992366592 49757872320 53075063808 54435962880 57378447360 58972293120 61240458240 65323155456 66343829760 68854136832 70766751744 75372871680 78629724160 79612595712 81653944320 86067671040 88458439680 94355668992 97984733184 99515744640 106150127616 108871925760 114756894720 117944586240 122480916480 132687659520 141533503488 157259448320 159225191424 163307888640 172135342080 176916879360 195969466368 199031489280 212300255232 235889172480 244961832960 265375319040 283067006976 318450382848 326615777280 344270684160 353833758720 398062978560 424600510464 471778344960 489923665920 530750638080 636900765696 707667517440 796125957120 849201020928 979847331840 1061501276160 1273801531392 1415335034880 1592251914240 2123002552320 2547603062784 3184503828480 4246005104640 6369007656960 12738015313920
- Sum of all divisors σ(n): 50951703038544
- Sum of proper divisors (its aliquot sum) s(n): 38213687724624
- 12738015313920 is an abundant number, because the sum of its proper divisors (38213687724624) is greater than itself. Its abundance is 25475672410704
Bases of 12738015313920
- Binary: 101110010101110011001110000011000000000000002
- Hexadecimal: 0xB95CCE0C000
- Base-36: 4IJRHFK00
Squares and roots of 12738015313920
- 12738015313920 squared (127380153139202) is 162257034137660436145766400
- 12738015313920 cubed (127380153139203) is 2066832585636758857025678704574988288000
-
The
square root of 12738015313920 is 3569035.6279981291 -
The
cube root of 12738015313920 is 23354.3215571597
Scales and comparisons
How big is 12738015313920?- 12,738,015,313,920 seconds is equal to 405,029 years, 25 weeks, 1 day, 19 hours, 12 minutes.
-
To count from 1 to 12,738,015,313,920 would take you about one million, twelve thousand, five hundred seventy-three 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 12738015313920 cubic inches would be around 1946.2 feet tall.
Recreational maths with 12738015313920
- 12738015313920 backwards is 02931351083721
- 12738015313920 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12738015313920's digits is 45
- More coming soon!
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"Number 12738015313920 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 12738015313920 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/12738015313920/
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The information we have on file for 12738015313920 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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