13388388624000
13,388,388,624,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13388388624000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
13388388624000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13388388624000:
27 × 32 × 53 × 13 × 17 × 31 × 41 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 31 × 41 × 331)See below for interesting mathematical facts about the number 13388388624000 from the Numbermatics database.
Names of 13388388624000
- Cardinal: 13388388624000 can be written as Thirteen trillion, three hundred eighty-eight billion, three hundred eighty-eight million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3388388624 × 1013
Factors of 13388388624000
Divisors of 13388388624000
- Number of divisors d(n): 3072
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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 30 31 32 34 36 39 40 41 45 48 50 51 52 60 62 64 65 68 72 75 78 80 82 85 90 93 96 100 102 104 117 120 123 124 125 128 130 136 144 150 153 155 156 160 164 170 180 186 192 195 200 204 205 208 221 225 234 240 246 248 250 255 260 272 279 288 300 306 310 312 320 325 328 331 340 360 369 372 375 384 390 400 403 408 410 416 425 442 450 465 468 480 492 496 500 510 520 527 533 544 558 576 585 600 612 615 620 624 640 650 656 662 663 680 697 720 738 744 750 765 775 780 800 806 816 820 832 850 884 900 930 936 960 975 984 992 993 1000 1020 1025 1040 1054 1066 1088 1105 1116 1125 1152 1170 1200 1209 1224 1230 1240 1248 1271 1275 1300 1312 1324 1326 1360 1394 1395 1440 1476 1488 1500 1530 1550 1560 1581 1599 1600 1612 1625 1632 1640 1655 1664 1700 1768 1800 1845 1860 1872 1920 1950 1968 1984 1986 1989 2000 2015 2040 2050 2080 2091 2108 2125 2132 2176 2210 2232 2250 2325 2340 2400 2418 2448 2460 2480 2496 2542 2550 2600 2624 2635 2648 2652 2665 2720 2788 2790 2880 2925 2952 2976 2979 3000 3060 3075 3100 3120 3162 3198 3200 3224 3250 3264 3280 3310 3315 3400 3485 3536 3600 3627 3690 3720 3744 3813 3825 3875 3900 3936 3968 3972 3978 4000 4030 4080 4100 4160 4182 4216 4250 4264 4303 4420 4464 4500 4650 4680 4743 4797 4800 4836 4875 4896 4920 4960 4965 4992 5084 5100 5125 5200 5248 5270 5296 5304 5330 5440 5525 5576 5580 5627 5760 5850 5904 5952 5958 6000 6045 6120 6150 6200 6240 6273 6324 6355 6375 6396 6448 6500 6528 6560 6620 6630 6800 6851 6970 6975 7072 7200 7254 7380 7440 7488 7626 7650 7750 7800 7872 7905 7944 7956 7995 8000 8060 8160 8200 8275 8320 8364 8432 8500 8528 8606 8840 8928 9000 9061 9225 9300 9360 9486 9594 9600 9672 9750 9792 9840 9920 9930 9945 10075 10168 10200 10250 10261 10400 10455 10540 10592 10608 10660 10880 11050 11152 11160 11254 11439 11625 11700 11808 11904 11916 12000 12090 12240 12300 12400 12480 12546 12648 12710 12750 12792 12896 12909 13000 13120 13175 13240 13260 13325 13571 13600 13702 13940 13950 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2214787200 2231398104 2247128000 2249393250 2267681000 2288613440 2324373025 2379312000 2399352800 2401074000 2423237760 2461100850 2511892800 2524206000 2528019000 2540491200 2551141125 2574690120 2612368512 2625174240 2633436000 2681968875 2696553600 2699271900 2721217200 2734556500 2746336128 2768484000 2789247630 2790992000 2822768000 2860766800 2879223360 2975197472 2999191000 3029047200 3111408000 3139866000 3150209088 3175614000 3201432000 3218362650 3265460640 3281467800 3322180800 3347097156 3365608000 3370692000 3374089875 3401521500 3432920160 3455068032 3500232320 3511248000 3575958500 3599029200 3628289600 3691312000 3718996840 3786309000 3841718400 3937761360 4038729600 4044830400 4081825800 4101834750 4119504192 4152726000 4183871445 4186488000 4234152000 4291150200 4318835040 4353947520 4375290400 4462796208 4494256000 4498786500 4535362000 4577226880 4648746050 4798705600 4802148000 4922201700 5023785600 5048412000 5056038000 5080982400 5102282250 5149380240 5250348480 5266872000 5363937750 5398543800 5442434400 5469113000 5536968000 5578495260 5721533600 5758446720 5950394944 5998382000 6058094400 6152752125 6279732000 6300418176 6351228000 6402864000 6436725300 6530921280 6562935600 6644361600 6694194312 6731216000 6741384000 6748179750 6803043000 6865840320 6973119075 7151917000 7198058400 7256579200 7437993680 7572618000 7875522720 8045906625 8089660800 8163651600 8203669500 8239008384 8305452000 8367742890 8372976000 8468304000 8582300400 8637670080 8750580800 8925592416 8997573000 9070724000 9297492100 9597411200 9604296000 9844403400 10096824000 10112076000 10204564500 10298760480 10500696960 10533744000 10727875500 10797087600 10884868800 10938226000 11073936000 11156990520 11443067200 11621865125 11900789888 11996764000 12116188800 12305504250 12559464000 12702456000 12873450600 13061842560 13125871200 13388388624 13482768000 13496359500 13606086000 13731680640 13946238150 14303834000 14396116800 14875987360 15145236000 15751045440 16091813250 16327303200 16407339000 16610904000 16735485780 17164600800 17275340160 17501161600 17851184832 17995146000 18141448000 18594984200 19208592000 19688806800 20193648000 20224152000 20409129000 20597520960 20919357225 21455751000 21594175200 21769737600 21876452000 22313981040 22886134400 23243730250 23993528000 24611008500 25118928000 25404912000 25746901200 26251742400 26776777248 26992719000 27212172000 27892476300 28607668000 28792233600 29751974720 30290472000 31502090880 32183626500 32654606400 32814678000 33221808000 33470971560 34329201600 34865595375 35702369664 35990292000 36282896000 37189968400 39377613600 40448304000 40818258000 41195041920 41838714450 42911502000 43188350400 43752904000 44627962080 46487460500 47987056000 49222017000 51493802400 52503484800 53553554496 53985438000 54424344000 55784952600 57215336000 59503949440 60580944000 64367253000 65309212800 65629356000 66941943120 68658403200 69731190750 71980584000 74379936800 78755227200 81636516000 83677428900 85823004000 86376700800 87505808000 89255924160 92974921000 98444034000 102987604800 104596786125 107107108992 107970876000 108848688000 111569905200 114430672000 128734506000 131258712000 133883886240 139462381500 143961168000 148759873600 157510454400 163273032000 167354857800 171646008000 178511848320 185949842000 196888068000 205975209600 209193572250 215941752000 223139810400 257469012000 262517424000 267767772480 278924763000 297519747200 326546064000 334709715600 343292016000 371899684000 393776136000 418387144500 431883504000 446279620800 514938024000 535535544960 557849526000 669419431200 743799368000 787552272000 836774289000 892559241600 1029876048000 1115699052000 1338838862400 1487598736000 1673548578000 2231398104000 2677677724800 3347097156000 4462796208000 6694194312000 13388388624000
- Sum of all divisors σ(n): 58149505290240
- Sum of proper divisors (its aliquot sum) s(n): 44761116666240
- 13388388624000 is an abundant number, because the sum of its proper divisors (44761116666240) is greater than itself. Its abundance is 31372728042240
Bases of 13388388624000
- Binary: 110000101101001110100010010111100110100000002
- Hexadecimal: 0xC2D3A25E680
- Base-36: 4QUJGWPS0
Squares and roots of 13388388624000
- 13388388624000 squared (133883886240002) is 179248949947252613376000000
- 13388388624000 cubed (133883886240003) is 2399854602337742288977508634624000000000
-
The
square root of 13388388624000 is 3659014.7067209227 -
The
cube root of 13388388624000 is 23745.2148432999
Scales and comparisons
How big is 13388388624000?- 13,388,388,624,000 seconds is equal to 425,709 years, 17 weeks, 6 days, 16 hours.
-
To count from 1 to 13,388,388,624,000 would take you about one million, sixty-four thousand, two hundred seventy-three 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 13388388624000 cubic inches would be around 1978.8 feet tall.
Recreational maths with 13388388624000
- 13388388624000 backwards is 00042688388331
- The number of decimal digits it has is: 14
- The sum of 13388388624000's digits is 54
- More coming soon!
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"Number 13388388624000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 13388388624000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/13388388624000/
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The information we have on file for 13388388624000 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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