12138316696688000
12,138,316,696,688,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12138316696688000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3840 divisors.
12138316696688000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 12138316696688000:
27 × 53 × 74 × 135 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 23 × 37)See below for interesting mathematical facts about the number 12138316696688000 from the Numbermatics database.
Names of 12138316696688000
- Cardinal: 12138316696688000 can be written as Twelve quadrillion, one hundred thirty-eight trillion, three hundred sixteen billion, six hundred ninety-six million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.2138316696688 × 1016
Factors of 12138316696688000
Divisors of 12138316696688000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 25 26 28 32 35 37 40 46 49 50 52 56 64 65 70 74 80 91 92 98 100 104 112 115 125 128 130 140 148 160 161 169 175 182 184 185 196 200 208 224 230 245 250 259 260 280 296 299 320 322 325 338 343 350 364 368 370 392 400 416 448 455 460 481 490 500 518 520 560 575 592 598 637 640 644 650 676 686 700 728 736 740 784 800 805 832 845 851 875 896 910 920 925 962 980 1000 1036 1040 1120 1127 1150 1183 1184 1196 1225 1274 1288 1295 1300 1352 1372 1400 1456 1472 1480 1495 1568 1600 1610 1625 1664 1690 1702 1715 1750 1813 1820 1840 1850 1924 1960 2000 2072 2080 2093 2197 2240 2254 2275 2300 2366 2368 2392 2401 2405 2450 2548 2576 2590 2600 2704 2744 2800 2875 2912 2944 2960 2990 3136 3185 3200 3220 3250 3367 3380 3404 3430 3500 3626 3640 3680 3700 3848 3887 3920 4000 4025 4144 4160 4186 4225 4255 4394 4459 4480 4508 4550 4600 4625 4732 4736 4784 4802 4810 4900 5096 5152 5180 5200 5408 5488 5600 5635 5750 5824 5915 5920 5957 5980 6125 6253 6272 6370 6440 6475 6500 6734 6760 6808 6860 7000 7252 7280 7360 7400 7475 7696 7774 7840 7889 8000 8050 8281 8288 8320 8372 8450 8510 8575 8788 8918 9016 9065 9100 9200 9250 9464 9568 9604 9620 9800 10192 10304 10360 10400 10465 10816 10976 10985 11063 11200 11270 11375 11500 11648 11830 11840 11914 11960 12005 12025 12250 12506 12691 12740 12880 12950 13000 13468 13520 13616 13720 14000 14504 14560 14651 14720 14800 14950 15379 15392 15548 15680 15778 15925 16000 16100 16562 16576 16744 16835 16900 17020 17150 17576 17836 18032 18130 18200 18400 18500 18928 19136 19208 19240 19435 19600 20125 20384 20608 20720 20800 20930 21125 21275 21632 21952 21970 22126 22295 22400 22540 22750 23000 23569 23660 23680 23828 23920 24010 24050 24500 25012 25382 25480 25760 25900 26000 26936 27040 27209 27232 27440 28000 28175 28561 29008 29120 29302 29575 29600 29785 29900 30758 30784 31096 31213 31265 31360 31556 31850 32200 32375 33124 33152 33488 33670 33800 34040 34300 35152 35672 36064 36260 36400 36800 37000 37375 37856 38272 38416 38480 38870 39200 39445 40250 40768 41405 41440 41600 41699 41860 42250 42550 42875 43771 43904 43940 44252 44590 45080 45325 45500 46000 47138 47320 47656 47840 48020 48100 49000 50024 50531 50764 50960 51520 51800 52000 52325 53872 54080 54418 54464 54880 54925 55223 55315 56000 56350 57122 57967 58016 58240 58604 59150 59200 59570 59800 60025 60125 61516 61568 62192 62426 62530 63112 63455 63700 64400 64750 66248 66976 67340 67600 68080 68600 70304 71344 72128 72520 72800 73255 73600 74000 74750 75712 76832 76895 76960 77441 77740 78400 78890 79625 80500 81289 81536 82810 82880 83398 83720 84175 84500 85100 85750 87542 87880 88504 88837 89180 90160 90650 91000 92000 94276 94640 95312 95680 96040 96200 97175 98000 100048 101062 101528 101920 102557 103040 103600 104000 104650 106375 107653 107744 108160 108836 108928 109760 109850 110446 110630 111475 112000 112700 114244 115934 116032 117208 117845 118300 118400 119140 119600 120050 120250 123032 124384 124852 125060 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11716521908000 12138316696688 12386037445600 12617792824000 13122504536960 13193822496400 13338809556800 13547228456125 13872361939072 14263591888000 14364871830400 14589322952750 15078654281600 15172895870860 15482546807000 16403130671200 16492278120500 16673511946000 17340452423840 17694339208000 17956089788000 18674333379520 18848317852000 18966119838575 19055442224000 20298188456000 20503913339000 21110115994240 21675565529800 23342916724400 23433043816000 24276633393376 24772074891200 25235585648000 26387644992800 26677619113600 27094456912250 29178645905500 30345791741720 30965093614000 32806261342400 32984556241000 33347023892000 34680904847680 35388678416000 35912179576000 37348666759040 37696635704000 37932239677150 40596376912000 41007826678000 43351131059600 46685833448800 46866087632000 48553266786752 49544149782400 52775289985600 54188913824500 58357291811000 60691583483440 61930187228000 65612522684800 65969112482000 66694047784000 69361809695360 71824359152000 75393271408000 75864479354300 82015653356000 86702262119200 93371666897600 94830599192875 97106533573504 105550579971200 108377827649000 116714583622000 121383166966880 123860374456000 131938224964000 133388095568000 151728958708600 164031306712000 173404524238400 186743333795200 189661198385750 216755655298000 233429167244000 242766333933760 247720748912000 263876449928000 303457917417200 328062613424000 346809048476800 379322396771500 433511310596000 466858334488000 485532667867520 527752899856000 606915834834400 758644793543000 867022621192000 933716668976000 1213831669668800 1517289587086000 1734045242384000 2427663339337600 3034579174172000 6069158348344000 12138316696688000
- Sum of all divisors σ(n): 40874410644762240
- Sum of proper divisors (its aliquot sum) s(n): 28736093948074240
- 12138316696688000 is an abundant number, because the sum of its proper divisors (28736093948074240) is greater than itself. Its abundance is 16597777251386240
Bases of 12138316696688000
- Binary: 1010110001111110111100000101101110000010010101100000002
- Hexadecimal: 0x2B1FBC16E09580
- Base-36: 3BIO9PJ5P4W
Squares and roots of 12138316696688000
- 12138316696688000 squared (121383166966880002) is 147338732229094680190169344000000
- 12138316696688000 cubed (121383166966880003) is 1788444193485262301290730143313403932672000000000
-
The
square root of 12138316696688000 is 110174029.1388492337 -
The
cube root of 12138316696688000 is 229819.1186335139
Scales and comparisons
How big is 12138316696688000?- 12,138,316,696,688,000 seconds is equal to 385,960,924 years, 35 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 12,138,316,696,688,000 would take you about one billion, one hundred fifty-seven million, eight hundred eighty-two thousand, seven hundred seventy-four 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 12138316696688000 cubic inches would be around 19151.6 feet tall.
Recreational maths with 12138316696688000
- 12138316696688000 backwards is 00088669661383121
- The number of decimal digits it has is: 17
- The sum of 12138316696688000's digits is 68
- More coming soon!
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Cite this page
MLA style:
"Number 12138316696688000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 12138316696688000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/12138316696688000/
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Numbermatics. 2024. "Number 12138316696688000 - Facts about the integer". https://numbermatics.com/n/12138316696688000/
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