13319311200
13,319,311,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13319311200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
13319311200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13319311200:
25 × 3 × 52 × 13 × 31 × 47 × 293
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 31 × 47 × 293)See below for interesting mathematical facts about the number 13319311200 from the Numbermatics database.
Names of 13319311200
- Cardinal: 13319311200 can be written as Thirteen billion, three hundred nineteen million, three hundred eleven thousand, two hundred.
Scientific notation
- Scientific notation: 1.33193112 × 1010
Factors of 13319311200
Divisors of 13319311200
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 47 48 50 52 60 62 65 75 78 80 93 94 96 100 104 120 124 130 141 150 155 156 160 186 188 195 200 208 235 240 248 260 282 293 300 310 312 325 372 376 390 400 403 416 465 470 480 496 520 564 586 600 611 620 624 650 705 744 752 775 780 800 806 879 930 940 975 992 1040 1128 1172 1175 1200 1209 1222 1240 1248 1300 1410 1457 1465 1488 1504 1550 1560 1612 1758 1833 1860 1880 1950 2015 2080 2256 2325 2344 2350 2400 2418 2444 2480 2600 2820 2914 2930 2976 3055 3100 3120 3224 3516 3525 3666 3720 3760 3809 3900 4030 4371 4395 4512 4650 4688 4700 4836 4888 4960 5200 5640 5828 5860 6045 6110 6200 6240 6448 7032 7050 7285 7325 7332 7440 7520 7618 7800 8060 8742 8790 9083 9165 9300 9376 9400 9672 9776 10075 10400 11280 11427 11656 11720 12090 12220 12400 12896 13771 14064 14100 14570 14650 14664 14880 15236 15275 15600 16120 17484 17580 18166 18330 18600 18800 18941 19045 19344 19552 20150 21855 21975 22560 22854 23312 23440 24180 24440 24800 27249 27542 28128 28200 29140 29300 29328 30225 30472 30550 31200 32240 34968 35160 36332 36425 36660 37200 37600 37882 38090 38688 40300 41313 43710 43950 45415 45708 45825 46624 46880 48360 48880 54498 55084 56400 56823 57135 58280 58600 58656 60450 60944 61100 64480 68855 69936 70320 72664 72850 73320 74400 75764 76180 80600 82626 87420 87900 90830 91416 91650 94705 95225 96720 97760 108996 109275 110168 112800 113646 114270 116560 117200 118079 120900 121888 122200 136245 137710 139872 140640 145328 145700 146640 151528 152360 161200 165252 174840 175800 179023 181660 182832 183300 189410 190450 193440 206565 217992 218550 220336 227075 227292 228540 233120 234400 236158 241800 244400 272490 275420 284115 285675 290656 291400 293280 303056 304720 322400 330504 344275 349680 351600 354237 358046 363320 365664 366600 378820 380900 413130 426901 435984 437100 440672 454150 454584 457080 472316 473525 483600 488800 537069 544980 550840 568230 571350 582800 590395 606112 609440 661008 681225 688550 699360 703200 708474 716092 726640 733200 757640 761800 826260 853802 871968 874200 895115 908300 909168 914160 944632 947050 967200 1032825 1074138 1089960 1101680 1136460 1142700 1165600 1180790 1280703 1322016 1362450 1377100 1416948 1420575 1432184 1453280 1466400 1515280 1523600 1652520 1707604 1748400 1771185 1790230 1816600 1818336 1828320 1889264 1894100 2065650 2134505 2148276 2179920 2203360 2272920 2285400 2361580 2561406 2685345 2724900 2754200 2833896 2841150 2864368 2951975 3030560 3047200 3305040 3415208 3496800 3542370 3580460 3633200 3778528 3788200 4131300 4269010 4296552 4359840 4475575 4545840 4570800 4723160 5122812 5370690 5449800 5508400 5549713 5667792 5682300 5728736 5903950 6403515 6610080 6830416 7084740 7160920 7266400 7576400 8262600 8538020 8593104 8855925 8951150 9091680 9141600 9446320 10245624 10672525 10741380 10899600 11016800 11099426 11335584 11364600 11807900 12807030 13426725 13660832 14169480 14321840 15152800 16525200 16649139 17076040 17186208 17711850 17902300 18892640 20491248 21345050 21482760 21799200 22198852 22729200 23615800 25614060 26853450 27748565 28338960 28643680 32017575 33050400 33298278 34152080 35423700 35804600 40982496 42690100 42965520 44397704 45458400 47231600 51228120 53706900 55497130 56677920 64035150 66596556 68304160 70847400 71609200 83245695 85380200 85931040 88795408 94463200 102456240 107413800 110994260 128070300 133193112 138742825 141694800 143218400 166491390 170760400 177590816 204912480 214827600 221988520 256140600 266386224 277485650 283389600 332982780 341520800 416228475 429655200 443977040 512281200 532772448 554971300 665965560 832456950 887954080 1024562400 1109942600 1331931120 1664913900 2219885200 2663862240 3329827800 4439770400 6659655600 13319311200
- Sum of all divisors σ(n): 49388838912
- Sum of proper divisors (its aliquot sum) s(n): 36069527712
- 13319311200 is an abundant number, because the sum of its proper divisors (36069527712) is greater than itself. Its abundance is 22750216512
Bases of 13319311200
- Binary: 11000110011110010010001111011000002
- Hexadecimal: 0x319E48F60
- Base-36: 649Z2AO
Squares and roots of 13319311200
- 13319311200 squared (133193112002) is 177404050842445440000
- 13319311200 cubed (133193112003) is 2362899761311152984380928000000
-
The
square root of 13319311200 is 115409.3202475433 -
The
cube root of 13319311200 is 2370.4306575547
Scales and comparisons
How big is 13319311200?- 13,319,311,200 seconds is equal to 423 years, 26 weeks, 4 days, 16 hours, 40 minutes.
-
To count from 1 to 13,319,311,200 would take you about eight hundred forty-seven 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 13319311200 cubic inches would be around 197.5 feet tall.
Recreational maths with 13319311200
- 13319311200 backwards is 00211391331
- 13319311200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13319311200's digits is 24
- More coming soon!
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