13404678144000
13,404,678,144,000 is an even composite number composed of seven prime numbers multiplied together.
13404678144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13404678144000:
214 × 3 × 53 × 112 × 13 × 19 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 19 × 73)See below for interesting mathematical facts about the number 13404678144000 from the Numbermatics database.
Names of 13404678144000
- Cardinal: 13404678144000 can be written as Thirteen trillion, four hundred four billion, six hundred seventy-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3404678144 × 1013
Factors of 13404678144000
Divisors of 13404678144000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 25 26 30 32 33 38 39 40 44 48 50 52 55 57 60 64 65 66 73 75 76 78 80 88 95 96 100 104 110 114 120 121 125 128 130 132 143 146 150 152 156 160 165 176 190 192 195 200 208 209 219 220 228 240 242 247 250 256 260 264 275 285 286 292 300 304 312 320 325 330 352 363 365 375 380 384 390 400 416 418 429 438 440 456 475 480 484 494 500 512 520 528 550 570 572 584 600 605 608 624 627 640 650 660 704 715 726 730 741 750 760 768 780 800 803 825 832 836 858 876 880 912 949 950 960 968 975 988 1000 1024 1040 1045 1056 1095 1100 1140 1144 1168 1200 1210 1216 1235 1248 1254 1280 1300 1320 1375 1387 1408 1425 1430 1452 1460 1482 1500 1520 1536 1560 1573 1600 1606 1625 1650 1664 1672 1716 1752 1760 1815 1824 1825 1898 1900 1920 1936 1950 1976 2000 2048 2080 2090 2112 2145 2190 2200 2280 2288 2299 2336 2375 2400 2409 2420 2432 2470 2496 2508 2560 2600 2640 2717 2750 2774 2816 2847 2850 2860 2904 2920 2964 3000 3025 3040 3072 3120 3135 3146 3200 3212 3250 3300 3328 3344 3432 3504 3520 3575 3630 3648 3650 3705 3796 3800 3840 3872 3900 3952 4000 4015 4096 4125 4160 4161 4180 4224 4290 4380 4400 4560 4576 4598 4672 4719 4745 4750 4800 4818 4840 4864 4875 4940 4992 5016 5120 5200 5225 5280 5434 5475 5500 5548 5632 5694 5700 5720 5808 5840 5928 6000 6050 6080 6144 6175 6240 6270 6292 6400 6424 6500 6600 6656 6688 6864 6897 6935 7008 7040 7125 7150 7260 7296 7300 7410 7592 7600 7680 7744 7800 7865 7904 8000 8030 8151 8192 8250 8320 8322 8360 8448 8580 8760 8800 8833 9075 9120 9125 9152 9196 9344 9438 9490 9500 9600 9636 9680 9728 9750 9880 9984 10032 10240 10400 10439 10450 10560 10725 10868 10950 11000 11096 11264 11388 11400 11440 11495 11616 11680 11856 12000 12045 12100 12160 12288 12350 12480 12540 12584 12800 12848 13000 13200 13312 13376 13585 13728 13794 13870 14016 14080 14235 14250 14300 14520 14592 14600 14820 15125 15184 15200 15257 15360 15488 15600 15675 15730 15808 16000 16060 16302 16384 16500 16640 16644 16720 16896 17160 17520 17600 17666 17875 18031 18150 18240 18250 18304 18392 18525 18688 18876 18980 19000 19200 19272 19360 19456 19500 19760 19968 20064 20075 20480 20800 20805 20878 20900 21120 21450 21736 21900 22000 22192 22528 22776 22800 22880 22990 23232 23360 23595 23712 23725 24000 24090 24200 24320 24576 24700 24960 25080 25168 25600 25696 26000 26125 26400 26499 26624 26752 27170 27375 27456 27588 27740 28032 28160 28470 28500 28600 29040 29184 29200 29640 29887 30250 30368 30400 30514 30720 30875 30976 31200 31317 31350 31460 31616 32000 32120 32604 33000 33280 33288 33440 33792 34320 34485 34675 35040 35200 35332 35750 36062 36300 36480 36500 36608 36784 37050 37376 37752 37960 38000 38400 38544 38720 38912 39000 39325 39520 39936 40128 40150 40755 40960 41600 41610 41756 41800 42240 42900 43472 43800 44000 44165 44384 45056 45375 45552 45600 45760 45771 45980 46464 46720 47190 47424 47450 48000 48180 48400 48640 49152 49400 49920 50160 50336 51200 51392 52000 52195 52250 52800 52998 53248 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8017152000 8055696000 8124047360 8249032704 8346624000 8377923840 8521728000 8592742400 8727004000 8818867200 8936452096 9044992000 9181286400 9231872000 9373900800 9406791680 9520368000 9664512000 9748856832 10155059200 10311290880 10472404800 10689536000 10740928000 10853990400 11023584000 11078246400 11170565120 11476608000 11717376000 11758489600 12186071040 12241715200 12693824000 12827443200 12889113600 13090506000 13404678144 13567488000 13748387840 13847808000 13963206400 14110187520 14125056000 14698112000 15232588800 15302144000 15623168000 16034304000 16111392000 16248094720 16693248000 16755847680 17185484800 17454008000 17637734400 17872904192 18089984000 18362572800 18463744000 18747801600 19040736000 20310118400 20622581760 20944809600 21379072000 21481856000 22047168000 22156492800 22341130240 22953216000 23434752000 23516979200 24372142080 25387648000 25778227200 26181012000 26809356288 27134976000 27695616000 27926412800 28220375040 29396224000 30465177600 30604288000 31246336000 32068608000 32222784000 33511695360 34370969600 34908016000 35275468800 35745808384 36725145600 36927488000 38081472000 40620236800 41245163520 41889619200 42963712000 44094336000 44682260480 45906432000 46869504000 47033958400 48744284160 50775296000 51556454400 52362024000 53618712576 54269952000 55391232000 55852825600 58792448000 60930355200 61208576000 64137216000 64445568000 67023390720 68741939200 69816032000 70550937600 76162944000 81240473600 83779238400 85927424000 88188672000 89364520960 91812864000 93739008000 101550592000 103112908800 104724048000 107237425152 110782464000 111705651200 117584896000 121860710400 128891136000 134046781440 139632064000 141101875200 152325888000 167558476800 171854848000 176377344000 178729041920 183625728000 203101184000 206225817600 209448096000 223411302400 235169792000 243721420800 257782272000 268093562880 279264128000 304651776000 335116953600 343709696000 352754688000 406202368000 418896192000 446822604800 515564544000 536187125760 558528256000 609303552000 670233907200 705509376000 837792384000 893645209600 1031129088000 1117056512000 1218607104000 1340467814400 1675584768000 2234113024000 2680935628800 3351169536000 4468226048000 6702339072000 13404678144000
- Sum of all divisors σ(n): 56345944462080
- Sum of proper divisors (its aliquot sum) s(n): 42941266318080
- 13404678144000 is an abundant number, because the sum of its proper divisors (42941266318080) is greater than itself. Its abundance is 29536588174080
Bases of 13404678144000
- Binary: 110000110001000001010001010001000000000000002
- Hexadecimal: 0xC3105144000
- Base-36: 4R20V9NUO
Squares and roots of 13404678144000
- 13404678144000 squared (134046781440002) is 179685396144231284736000000
- 13404678144000 cubed (134046781440003) is 2408624902490558974181700009984000000000
-
The
square root of 13404678144000 is 3661239.9735608701 -
The
cube root of 13404678144000 is 23754.8411296227
Scales and comparisons
How big is 13404678144000?- 13,404,678,144,000 seconds is equal to 426,227 years, 15 weeks, 4 days, 18 hours, 40 minutes.
-
To count from 1 to 13,404,678,144,000 would take you about one million, sixty-five thousand, five hundred sixty-eight 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 13404678144000 cubic inches would be around 1979.6 feet tall.
Recreational maths with 13404678144000
- 13404678144000 backwards is 00044187640431
- The number of decimal digits it has is: 14
- The sum of 13404678144000's digits is 42
- More coming soon!
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The information we have on file for 13404678144000 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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