13760080042800
13,760,080,042,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13760080042800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
13760080042800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13760080042800:
24 × 3 × 52 × 7 × 13 × 331 × 6172
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 331 × 617 × 617)See below for interesting mathematical facts about the number 13760080042800 from the Numbermatics database.
Names of 13760080042800
- Cardinal: 13760080042800 can be written as Thirteen trillion, seven hundred sixty billion, eighty million, forty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37600800428 × 1013
Factors of 13760080042800
Divisors of 13760080042800
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 35 39 40 42 48 50 52 56 60 65 70 75 78 80 84 91 100 104 105 112 120 130 140 150 156 168 175 182 195 200 208 210 240 260 273 280 300 312 325 331 336 350 364 390 400 420 455 520 525 546 560 600 617 624 650 662 700 728 780 840 910 975 993 1040 1050 1092 1200 1234 1300 1324 1365 1400 1456 1560 1655 1680 1820 1851 1950 1986 2100 2184 2275 2317 2468 2600 2648 2730 2800 3085 3120 3310 3640 3702 3900 3972 4200 4303 4319 4368 4550 4634 4936 4965 5200 5296 5460 6170 6620 6825 6951 7280 7404 7800 7944 8021 8275 8400 8606 8638 9100 9255 9268 9872 9930 10920 11585 12340 12909 12957 13240 13650 13902 14808 15425 15600 15888 16042 16550 17212 17276 18200 18510 18536 19860 21515 21595 21840 23170 24063 24680 24825 25818 25914 26480 27300 27804 29616 30121 30850 32084 33100 34424 34552 34755 36400 37020 37072 39720 40105 43030 43190 46275 46340 48126 49360 49650 51636 51828 54600 55608 56147 57925 60242 61700 64168 64545 64785 66200 68848 69104 69510 74040 79440 80210 86060 86380 90363 92550 92680 96252 99300 103272 103656 107575 107975 109200 111216 112294 115850 120315 120484 123400 128336 129090 129570 132400 139020 148080 150605 160420 168441 172120 172760 173775 180726 185100 185360 192504 198600 200525 204227 206544 207312 215150 215950 224588 231700 240630 240968 246800 258180 259140 278040 280735 301210 320840 322725 323925 336882 344240 345520 347550 361452 370200 380689 385008 397200 401050 408454 430300 431900 449176 451815 463400 481260 481936 516360 518280 556080 561470 601575 602420 612681 641680 645450 647850 673764 695100 722904 740400 753025 761378 802100 816908 842205 860600 863800 898352 903630 926800 962520 1021135 1032720 1036560 1122940 1142067 1203150 1204840 1225362 1290900 1295700 1347528 1390200 1403675 1429589 1445808 1506050 1522756 1604200 1633816 1684410 1721200 1727600 1807260 1903445 1925040 2042270 2245880 2259075 2284134 2406300 2409680 2450724 2581800 2591400 2654951 2664823 2695056 2780400 2807350 2859178 3012100 3045512 3063405 3208400 3267632 3368820 3614520 3806890 4084540 4211025 4288767 4491760 4518150 4568268 4812600 4901448 4948957 5105675 5163600 5182800 5309902 5329646 5614700 5710335 5718356 6024200 6091024 6126810 6737640 7147945 7229040 7613780 7964853 7994469 8169080 8422050 8577534 9036300 9136536 9517225 9625200 9802896 9897914 10211350 10619804 10659292 11229400 11420670 11436712 12048400 12253620 13274755 13324115 13475280 14295890 14846871 15227560 15317025 15929706 15988938 16338160 16844100 17155068 18072600 18273072 18584657 19034450 19795828 20422700 21239608 21318584 21443835 22458800 22841340 22873424 24507240 24744785 26549510 26648230 28551675 28591780 29693742 30455120 30634050 31859412 31977876 33688200 34310136 34642699 35739725 36145200 37169314 38068900 39591656 39824265 39972345 40845400 42479216 42637168 42887670 45682680 49014480 49489570 53099020 53296460 55753971 57103350 57183560 59387484 61268100 63718824 63955752 66373775 66620575 67376400 68620272 69285398 71479450 74234355 74338628 76137800 79183312 79648530 79944690 81690800 85775340 91365360 92923285 98979140 103928097 106198040 106592920 107219175 111507942 114206700 114367120 118774968 122536200 123723925 126008059 127437648 127911504 132747550 133241150 138570796 142958900 148468710 148677256 152275600 159297060 159889380 171550680 173213495 185846570 197958280 199121325 199861725 207856194 212396080 213185840 214438350 223015884 228413400 237549936 245072400 247447850 252016118 265495100 266482300 277141592 278769855 285917800 296937420 297354512 318594120 319778760 343101360 346426990 371171775 371693140 378024177 395916560 398242650 399723450 415712388 428876700 446031768 456826800 464616425 494895700 504032236 519640485 530990200 532964600 554283184 557539710 571835600 593874840 630040295 637188240 639557520 692853980 742343550 743386280 756048354 796485300 799446900 831424776 857753400 866067475 882056413 892063536 929232850 989791400 1008064472 1039280970 1061980400 1065929200 1115079420 1187749680 1260080590 1385707960 1393849275 1484687100 1486772560 1512096708 1592970600 1598893800 1638104767 1662849552 1715506800 1732134950 1764112826 1858465700 1890120885 1979582800 2016128944 2078561940 2230158840 2520161180 2598202425 2646169239 2771415920 2787698550 2969374200 3024193416 3150201475 3185941200 3197787600 3276209534 3464269900 3528225652 3716931400 3780241770 4157123880 4410282065 4460317680 4914314301 5040322360 5196404850 5292338478 5575397100 5938748400 6048386832 6300402950 6552419068 6928539800 7056451304 7433862800 7560483540 8190523835 8314247760 8820564130 9450604425 9828628602 10080644720 10392809700 10584676956 11150794200 11466733369 12600805900 13104838136 13230846195 13857079600 14112902608 15120967080 16381047670 17641128260 18901208850 19657257204 20785619400 21169353912 22051410325 22301588400 22933466738 24571571505 25201611800 26209676272 26461692390 30241934160 32762095340 34400200107 35282256520 37802417700 39314514408 40952619175 41571238800 42338707824 44102820650 45866933476 49143143010 50403223600 52923384780 57333666845 65524190680 66154230975 68800400214 70564513040 75604835400 78629028816 81905238350 88205641300 91733866952 98286286020 105846769560 114667333690 122857857525 131048381360 132308461950 137600800428 151209670800 163810476700 172001000535 176411282600 183467733904 196572572040 211693539120 229334667380 245715715050 264616923900 275201600856 286668334225 327620953400 344002001070 352822565200 393145144080 458669334760 491431430100 529233847800 550403201712 573336668450 655241906800 688004002140 860005002675 917338669520 982862860200 1058467695600 1146673336900 1376008004280 1720010005350 1965725720400 2293346673800 2752016008560 3440020010700 4586693347600 6880040021400 13760080042800
- Sum of all divisors σ(n): 54502228911872
- Sum of proper divisors (its aliquot sum) s(n): 40742148869072
- 13760080042800 is an abundant number, because the sum of its proper divisors (40742148869072) is greater than itself. Its abundance is 26982068826272
Bases of 13760080042800
- Binary: 110010000011110001001010111011011011001100002
- Hexadecimal: 0xC83C4AEDB30
- Base-36: 4VLAKDS1C
Squares and roots of 13760080042800
- 13760080042800 squared (137600800428002) is 189339802784262849831840000
- 13760080042800 cubed (137600800428003) is 2605330841599423113880554920002752000000
-
The
square root of 13760080042800 is 3709458.1872289651 -
The
cube root of 13760080042800 is 23962.9521240751
Scales and comparisons
How big is 13760080042800?- 13,760,080,042,800 seconds is equal to 437,527 years, 51 weeks, 16 hours, 20 minutes.
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To count from 1 to 13,760,080,042,800 would take you about one million, ninety-three thousand, eight hundred nineteen 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 13760080042800 cubic inches would be around 1996.9 feet tall.
Recreational maths with 13760080042800
- 13760080042800 backwards is 00824008006731
- 13760080042800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13760080042800's digits is 39
- More coming soon!
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