13008186780400
13,008,186,780,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13008186780400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 450 divisors.
13008186780400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred fifty divisors.
Prime factorization of 13008186780400:
24 × 52 × 74 × 31 × 6612
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 31 × 661 × 661)See below for interesting mathematical facts about the number 13008186780400 from the Numbermatics database.
Names of 13008186780400
- Cardinal: 13008186780400 can be written as Thirteen trillion, eight billion, one hundred eighty-six million, seven hundred eighty thousand, four hundred.
Scientific notation
- Scientific notation: 1.30081867804 × 1013
Factors of 13008186780400
Divisors of 13008186780400
- Number of divisors d(n): 450
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 49 50 56 62 70 80 98 100 112 124 140 155 175 196 200 217 245 248 280 310 343 350 392 400 434 490 496 560 620 661 686 700 775 784 868 980 1085 1225 1240 1322 1372 1400 1519 1550 1715 1736 1960 2170 2401 2450 2480 2644 2744 2800 3038 3100 3305 3430 3472 3920 4340 4627 4802 4900 5288 5425 5488 6076 6200 6610 6860 7595 8575 8680 9254 9604 9800 10576 10633 10850 12005 12152 12400 13220 13720 15190 16525 17150 17360 18508 19208 19600 20491 21266 21700 23135 24010 24304 26440 27440 30380 32389 33050 34300 37016 37975 38416 40982 42532 43400 46270 48020 52880 53165 60025 60760 64778 66100 68600 74032 74431 75950 81964 85064 86800 92540 96040 102455 106330 115675 120050 121520 129556 132200 137200 143437 148862 151900 161945 163928 170128 185080 192080 204910 212660 226723 231350 240100 259112 264400 265825 286874 297724 303800 323890 327856 370160 372155 409820 425320 436921 453446 462700 480200 512275 518224 531650 573748 595448 607600 647780 717185 744310 809725 819640 850640 873842 906892 925400 960400 1004059 1024550 1063300 1133615 1147496 1190896 1295560 1434370 1488620 1587061 1619450 1639280 1747684 1813784 1850800 1860775 2008118 2049100 2126600 2184605 2267230 2294992 2591120 2868740 2977240 3058447 3174122 3238900 3495368 3585925 3627568 3721550 4016236 4098200 4253200 4369210 4534460 5020295 5668075 5737480 5954480 6116894 6348244 6477800 6990736 7028413 7171850 7443100 7935305 8032472 8196400 8738420 9068920 10040590 10923025 11336150 11474960 12233788 12696488 12955600 13544551 14056826 14343700 14886200 15292235 15870610 16064944 17476840 18137840 20081180 21409129 21846050 22672300 24467576 25101475 25392976 27089102 28113652 28687400 29772400 30584470 31741220 34953680 35142065 39676525 40162360 42818258 43692100 45344600 48935152 49198891 50202950 54178204 56227304 57374800 61168940 63482440 67722755 70284130 76461175 79353050 80324720 85636516 87384200 90689200 94811857 98397782 100405900 107045645 108356408 112454608 122337880 126964880 135445510 140568260 149863903 152922350 158706100 171273032 174768400 175710325 189623714 196795564 200811800 214091290 216712816 244675760 245994455 270891020 281136520 299727806 305844700 317412200 338613775 342546064 351420650 379247428 393591128 401623600 428182580 474059285 491988910 535228225 541782040 562273040 599455612 611689400 634824400 663682999 677227550 702841300 749319515 758494856 787182256 856365160 948118570 983977820 1049047321 1070456450 1083564080 1198911224 1223378800 1229972275 1327365998 1354455100 1405682600 1498639030 1516989712 1712730320 1896237140 1967955640 2098094642 2140912900 2370296425 2397822448 2459944550 2654731996 2708910200 2811365200 2997278060 3318414995 3746597575 3792474280 3935911280 4196189284 4281825800 4645780993 4740592850 4919889100 5245236605 5309463992 5417820400 5994556120 6636829990 7493195150 7584948560 8392378568 8563651600 9291561986 9481185700 9839778200 10490473210 10618927984 11989112240 13273659980 14986390300 16592074975 16784757136 18583123972 18962371400 19679556400 20980946420 23228904965 26226183025 26547319960 29972780600 32520466951 33184149950 37166247944 37924742800 41961892840 46457809930 52452366050 53094639920 59945561200 65040933902 66368299900 74332495888 83923785680 92915619860 104904732100 116144524825 130081867804 132736599800 162602334755 185831239720 209809464200 232289049650 260163735608 265473199600 325204669510 371662479440 419618928400 464578099300 520327471216 650409339020 813011673775 929156198600 1300818678040 1626023347550 1858312397200 2601637356080 3252046695100 6504093390200 13008186780400
- Sum of all divisors σ(n): 37691803317216
- Sum of proper divisors (its aliquot sum) s(n): 24683616536816
- 13008186780400 is an abundant number, because the sum of its proper divisors (24683616536816) is greater than itself. Its abundance is 11675429756416
Bases of 13008186780400
- Binary: 101111010100101101000101101000101010111100002
- Hexadecimal: 0xBD4B45A2AF0
- Base-36: 4LZVMJPPS
Squares and roots of 13008186780400
- 13008186780400 squared (130081867804002) is 169212923313773317824160000
- 13008186780400 cubed (130081867804003) is 2201153312123065034162485803734464000000
-
The
square root of 13008186780400 is 3606686.3989540317 -
The
cube root of 13008186780400 is 23518.2817031735
Scales and comparisons
How big is 13008186780400?- 13,008,186,780,400 seconds is equal to 413,620 years, 5 weeks, 2 days, 8 hours, 46 minutes, 40 seconds.
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To count from 1 to 13,008,186,780,400 would take you about one million, thirty-four thousand and fifty 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 13008186780400 cubic inches would be around 1959.9 feet tall.
Recreational maths with 13008186780400
- 13008186780400 backwards is 00408768180031
- The number of decimal digits it has is: 14
- The sum of 13008186780400's digits is 46
- More coming soon!
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