13430126400
13,430,126,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13430126400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
13430126400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13430126400:
26 × 3 × 52 × 79 × 107 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 79 × 107 × 331)See below for interesting mathematical facts about the number 13430126400 from the Numbermatics database.
Names of 13430126400
- Cardinal: 13430126400 can be written as Thirteen billion, four hundred thirty million, one hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.34301264 × 1010
Factors of 13430126400
Divisors of 13430126400
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 79 80 96 100 107 120 150 158 160 192 200 214 237 240 300 316 320 321 331 395 400 428 474 480 535 600 632 642 662 790 800 856 948 960 993 1070 1185 1200 1264 1284 1324 1580 1600 1605 1655 1712 1896 1975 1986 2140 2370 2400 2528 2568 2648 2675 3160 3210 3310 3424 3792 3950 3972 4280 4740 4800 4965 5056 5136 5296 5350 5925 6320 6420 6620 6848 7584 7900 7944 8025 8275 8453 8560 9480 9930 10272 10592 10700 11850 12640 12840 13240 15168 15800 15888 16050 16550 16906 17120 18960 19860 20544 21184 21400 23700 24825 25280 25359 25680 26149 26480 31600 31776 32100 33100 33812 34240 35417 37920 39720 42265 42800 47400 49650 50718 51360 52298 52960 63200 63552 64200 66200 67624 70834 75840 78447 79440 84530 85600 94800 99300 101436 102720 104596 105920 106251 126400 126795 128400 130745 132400 135248 141668 156894 158880 169060 171200 177085 189600 198600 202872 209192 211325 212502 253590 256800 261490 264800 270496 283336 313788 317760 338120 354170 379200 392235 397200 405744 418384 422650 425004 507180 513600 522980 529600 531255 540992 566672 627576 633975 653725 676240 708340 784470 794400 811488 836768 845300 850008 885425 1014360 1045960 1062510 1133344 1255152 1267950 1307450 1352480 1416680 1568940 1588800 1622976 1673536 1690600 1700016 1770850 1961175 2028720 2091920 2125020 2266688 2510304 2535900 2614900 2656275 2704960 2797943 2833360 3137880 3381200 3400032 3541700 3922350 4057440 4183840 4250040 5020608 5071800 5229800 5312550 5595886 5666720 6275760 6762400 6800064 7083400 7844700 8114880 8367680 8393829 8500080 10143600 10459600 10625100 11191772 11333440 12551520 13524800 13989715 14166800 15689400 16787658 17000160 20287200 20919200 21250200 22383544 25103040 27979430 28333600 31378800 33575316 34000320 40574400 41838400 41969145 42500400 44767088 55958860 56667200 62757600 67150632 69948575 83938290 85000800 89534176 111917720 125515200 134301264 139897150 167876580 170001600 179068352 209845725 223835440 268602528 279794300 335753160 419691450 447670880 537205056 559588600 671506320 839382900 895341760 1119177200 1343012640 1678765800 2238354400 2686025280 3357531600 4476708800 6715063200 13430126400
- Sum of all divisors σ(n): 45172823040
- Sum of proper divisors (its aliquot sum) s(n): 31742696640
- 13430126400 is an abundant number, because the sum of its proper divisors (31742696640) is greater than itself. Its abundance is 18312570240
Bases of 13430126400
- Binary: 11001000000111111101110111010000002
- Hexadecimal: 0x3207F7740
- Base-36: 663Y7UO
Squares and roots of 13430126400
- 13430126400 squared (134301264002) is 180368295119976960000
- 13430126400 cubed (134301264003) is 2422369002013793737887744000000
-
The
square root of 13430126400 is 115888.4221999765 -
The
cube root of 13430126400 is 2376.9864171647
Scales and comparisons
How big is 13430126400?- 13,430,126,400 seconds is equal to 427 years, 1 week, 6 days, 6 hours, 40 minutes.
-
To count from 1 to 13,430,126,400 would take you about eight hundred fifty-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 13430126400 cubic inches would be around 198.1 feet tall.
Recreational maths with 13430126400
- 13430126400 backwards is 00462103431
- 13430126400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13430126400's digits is 24
- More coming soon!
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