13745612228400
13,745,612,228,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13745612228400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
13745612228400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13745612228400:
24 × 34 × 52 × 133 × 17 × 37 × 307
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 17 × 37 × 307)See below for interesting mathematical facts about the number 13745612228400 from the Numbermatics database.
Names of 13745612228400
- Cardinal: 13745612228400 can be written as Thirteen trillion, seven hundred forty-five billion, six hundred twelve million, two hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.37456122284 × 1013
Factors of 13745612228400
Divisors of 13745612228400
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 34 36 37 39 40 45 48 50 51 52 54 60 65 68 72 74 75 78 80 81 85 90 100 102 104 108 111 117 120 130 135 136 144 148 150 153 156 162 169 170 180 185 195 200 204 208 216 221 222 225 234 240 255 260 270 272 296 300 306 307 312 324 325 333 338 340 351 360 370 390 400 405 408 425 432 442 444 450 459 468 481 507 510 520 540 555 585 592 600 612 614 624 629 648 650 663 666 675 676 680 702 720 740 765 780 810 816 845 850 884 888 900 918 921 925 936 962 975 999 1014 1020 1040 1053 1080 1105 1110 1170 1200 1224 1228 1258 1275 1296 1300 1326 1332 1350 1352 1360 1377 1404 1443 1480 1521 1530 1535 1560 1620 1665 1690 1700 1755 1768 1776 1800 1836 1842 1850 1872 1887 1924 1950 1989 1998 2025 2028 2040 2106 2160 2197 2210 2220 2295 2340 2405 2448 2456 2516 2535 2550 2600 2652 2664 2700 2704 2754 2763 2775 2808 2873 2886 2925 2960 2997 3042 3060 3070 3120 3145 3240 3315 3330 3380 3400 3510 3536 3600 3672 3684 3700 3774 3825 3848 3900 3978 3991 3996 4050 4056 4080 4212 4225 4329 4394 4420 4440 4563 4590 4605 4680 4810 4912 4995 5032 5070 5100 5200 5219 5265 5304 5328 5400 5508 5525 5526 5550 5616 5661 5746 5772 5850 5967 5994 6084 6120 6140 6253 6290 6480 6591 6630 6660 6760 6800 6885 7020 7215 7344 7368 7400 7548 7605 7650 7675 7696 7800 7956 7982 7992 8100 8112 8177 8289 8325 8424 8450 8619 8658 8775 8788 8840 8880 9126 9180 9210 9360 9435 9620 9945 9990 10064 10140 10200 10438 10530 10608 10800 10985 11016 11050 11052 11100 11322 11359 11475 11492 11544 11700 11934 11973 11988 12025 12168 12240 12280 12506 12580 12675 12987 13182 13260 13320 13520 13689 13770 13815 14040 14365 14430 14736 14800 14985 15096 15210 15300 15350 15600 15657 15725 15912 15964 15984 16200 16354 16575 16578 16650 16848 16900 16983 17238 17316 17550 17576 17680 17901 18252 18360 18420 18759 18870 19240 19773 19890 19955 19980 20280 20400 20876 21060 21645 21970 22032 22100 22104 22200 22644 22718 22815 22950 22984 23025 23088 23400 23868 23946 23976 24050 24336 24531 24560 24867 24975 25012 25160 25350 25857 25974 26095 26325 26364 26520 26640 27378 27540 27630 28080 28305 28730 28860 29835 29970 30192 30420 30600 30700 31265 31314 31450 31824 31928 32400 32708 32955 33150 33156 33300 33800 33966 34077 34425 34476 34632 35100 35152 35802 35919 36075 36504 36720 36840 37349 37518 37740 38025 38480 38961 39546 39780 39910 39960 40560 40885 41445 41752 42120 43095 43290 43940 44200 44208 44400 45288 45436 45630 45900 45968 46050 46800 46971 47175 47736 47892 47952 48100 49062 49725 49734 49950 50024 50320 50700 50949 51714 51883 51948 52190 52650 52728 53040 54756 54925 55080 55260 56277 56610 56795 57460 57720 59319 59670 59865 59940 60840 61200 61400 62530 62628 62900 63856 64935 65416 65910 66300 66312 66600 67600 67847 67932 68154 68445 68850 68952 69075 69264 70200 71604 71825 71838 72150 73008 73593 73680 74698 74925 75036 75480 76050 77571 77922 78285 79092 79560 79820 79920 81289 81770 82890 83504 84240 84915 86190 86580 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22386990600 22460150700 22909353714 23218939575 23496773040 24766868880 25454837460 26433869670 26952180840 27111661200 28577156400 29370966300 29946867600 30545804952 30958586100 31098670200 31818546825 32342617008 33690226050 33939783280 34364030571 35245159560 37150303320 38182256190 39161288400 40428271260 40667491800 41278114800 42294191472 42424729100 44056449450 44773981200 44920301400 45818707428 46437879150 50535339075 50909674920 52867739340 53904361680 57273384285 58741932600 61091609904 61917172200 62197340400 63637093650 66084674175 67380452100 68728061142 70490319120 74300606640 76364512380 80856542520 81334983600 84849458200 88112898900 89840602800 91637414856 92875758300 95455640475 101070678150 101819349840 105735478680 114546768570 117483865200 123834344400 127274187300 132169348350 134760904200 137456122284 152729024760 161713085040 169698916400 171820152855 176225797800 183274829712 185751516600 190911280950 202141356300 211470957360 229093537140 254548374600 264338696700 269521808400 274912244568 286366921425 305458049520 343640305710 352451595600 371503033200 381822561900 404282712600 458187074280 509096749200 528677393400 549824489136 572733842850 687280611420 763645123800 808565425200 859100764275 916374148560 1057354786800 1145467685700 1374561222840 1527290247600 1718201528550 2290935371400 2749122445680 3436403057100 4581870742800 6872806114200 13745612228400
- Sum of all divisors σ(n): 58303218980160
- Sum of proper divisors (its aliquot sum) s(n): 44557606751760
- 13745612228400 is an abundant number, because the sum of its proper divisors (44557606751760) is greater than itself. Its abundance is 30811994523360
Bases of 13745612228400
- Binary: 110010000000011001100101010110000111001100002
- Hexadecimal: 0xC8066558730
- Base-36: 4VENAMB00
Squares and roots of 13745612228400
- 13745612228400 squared (137456122284002) is 188941855533539613766560000
- 13745612228400 cubed (137456122284003) is 2597121479878408321325440119002304000000
-
The
square root of 13745612228400 is 3707507.5493382343 -
The
cube root of 13745612228400 is 23954.5506922643
Scales and comparisons
How big is 13745612228400?- 13,745,612,228,400 seconds is equal to 437,067 years, 49 weeks, 3 days, 3 hours.
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To count from 1 to 13,745,612,228,400 would take you about one million, ninety-two thousand, six hundred sixty-nine 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 13745612228400 cubic inches would be around 1996.2 feet tall.
Recreational maths with 13745612228400
- 13745612228400 backwards is 00482221654731
- 13745612228400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13745612228400's digits is 45
- More coming soon!
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The information we have on file for 13745612228400 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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