13428604800
13,428,604,800 is an even composite number composed of six prime numbers multiplied together.
13428604800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13428604800:
27 × 32 × 52 × 132 × 31 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 31 × 89)See below for interesting mathematical facts about the number 13428604800 from the Numbermatics database.
Names of 13428604800
- Cardinal: 13428604800 can be written as Thirteen billion, four hundred twenty-eight million, six hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.34286048 × 1010
Factors of 13428604800
Divisors of 13428604800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 32 36 39 40 45 48 50 52 60 62 64 65 72 75 78 80 89 90 93 96 100 104 117 120 124 128 130 144 150 155 156 160 169 178 180 186 192 195 200 208 225 234 240 248 260 267 279 288 300 310 312 320 325 338 356 360 372 384 390 400 403 416 445 450 465 468 480 496 507 520 534 558 576 585 600 620 624 640 650 676 712 720 744 775 780 800 801 806 832 845 890 900 930 936 960 975 992 1014 1040 1068 1116 1152 1157 1170 1200 1209 1240 1248 1300 1335 1352 1395 1424 1440 1488 1521 1550 1560 1600 1602 1612 1664 1690 1780 1800 1860 1872 1920 1950 1984 2015 2028 2080 2136 2225 2232 2314 2325 2340 2400 2418 2480 2496 2535 2600 2670 2704 2759 2790 2848 2880 2925 2976 3042 3100 3120 3200 3204 3224 3380 3471 3560 3600 3627 3720 3744 3900 3968 4005 4030 4056 4160 4225 4272 4450 4464 4628 4650 4680 4800 4836 4960 4992 5070 5200 5239 5340 5408 5518 5580 5696 5760 5785 5850 5952 6045 6084 6200 6240 6408 6448 6675 6760 6942 6975 7120 7200 7254 7440 7488 7605 7800 8010 8060 8112 8277 8320 8450 8544 8900 8928 9256 9300 9360 9600 9672 9920 10075 10140 10400 10413 10478 10680 10816 11036 11160 11392 11570 11700 11904 12090 12168 12400 12480 12675 12816 12896 13350 13520 13795 13884 13950 14240 14400 14508 14880 14976 15041 15210 15600 15717 16020 16120 16224 16554 16900 17088 17355 17800 17856 18135 18512 18600 18720 19344 19840 20025 20150 20280 20800 20826 20956 21360 21632 22072 22320 23140 23400 24180 24336 24800 24831 24960 25350 25632 25792 26195 26700 27040 27590 27768 27900 28480 28800 28925 29016 29760 30082 30225 30420 31200 31434 32040 32240 32448 33108 33800 34176 34710 35600 35712 35867 36270 37024 37200 37440 38025 38688 40050 40300 40560 41385 41600 41652 41912 42720 44144 44640 45123 46280 46800 47151 48360 48672 49600 49662 50700 51264 51584 52065 52390 53400 54080 55180 55536 55800 56960 57850 58032 59520 60164 60450 60840 62400 62868 64080 64480 64896 66216 67600 68975 69420 71200 71734 72540 74048 74400 74880 75205 76050 77376 78585 80100 80600 81120 82770 83304 83824 85440 86775 88288 89280 90246 90675 92560 93600 94302 96720 97344 99200 99324 101400 102528 104130 104780 106800 107601 108160 110360 111072 111600 115700 116064 120328 120900 121680 124155 124800 125736 128160 128960 130975 132432 135200 135369 137950 138840 142400 143468 145080 148096 148800 150410 152100 154752 157170 160200 161200 162240 165540 166608 167648 170880 173550 176576 178560 179335 180492 181350 185120 187200 188604 193440 194688 198648 202800 206925 208260 209560 213600 215202 220720 222144 223200 225615 231400 232128 235755 240656 241800 243360 248310 251472 256320 257920 260325 261950 264864 270400 270738 275900 277680 284800 286936 290160 297600 300820 304200 314340 320400 322400 322803 324480 331080 333216 335296 347100 353152 358670 360984 362700 370240 374400 376025 377208 386880 392925 397296 405600 413850 416520 419120 427200 430404 441440 444288 446400 451230 462800 464256 466271 471510 481312 483600 486720 496620 502944 512640 520650 523900 529728 538005 540800 541476 551800 555360 573872 580320 601640 608400 620775 628680 640800 644800 645606 662160 666432 670592 676845 694200 717340 721968 725400 740480 752050 754416 773760 785850 794592 811200 827700 833040 838240 854400 860808 882880 892800 896675 902460 925600 932542 943020 962624 967200 973440 993240 1005888 1041300 1047800 1059456 1076010 1082952 1103600 1110720 1128075 1147744 1160640 1178775 1203280 1216800 1241550 1257360 1281600 1289600 1291212 1324320 1332864 1353690 1388400 1398813 1434680 1443936 1450800 1504100 1508832 1571700 1589184 1614015 1622400 1655400 1666080 1676480 1721616 1765760 1793350 1804920 1851200 1865084 1886040 1925248 1934400 1986480 2011776 2082600 2095600 2152020 2165904 2207200 2221440 2256150 2295488 2321280 2331355 2357550 2406560 2433600 2483100 2514720 2563200 2582424 2648640 2690025 2707380 2776800 2797626 2869360 2887872 2901600 3008200 3017664 3143400 3178368 3228030 3310800 3332160 3352960 3384225 3443232 3586700 3609840 3702400 3730168 3772080 3868800 3972960 4165200 4191200 4196439 4304040 4331808 4414400 4512300 4590976 4662710 4715100 4813120 4867200 4966200 5029440 5164848 5297280 5380050 5414760 5553600 5595252 5738720 5775744 5803200 6016400 6035328 6286800 6456060 6621600 6664320 6768450 6886464 6994065 7173400 7219680 7460336 7544160 7945920 8070075 8330400 8382400 8392878 8608080 8663616 8828800 9024600 9325420 9430200 9626240 9932400 10058880 10329696 10760100 10829520 11107200 11190504 11477440 11606400 11656775 12032800 12573600 12912120 13243200 13536900 13772928 13988130 14346800 14439360 14920672 15088320 15891840 16140150 16660800 16764800 16785756 17216160 17327232 18049200 18650840 18860400 19864800 20659392 20982195 21520200 21659040 22381008 22954880 23313550 24065600 25147200 25824240 26486400 27073800 27976260 28693600 28878720 29841344 30176640 32280300 33321600 33571512 34432320 34970325 36098400 37301680 37720800 39729600 41318784 41964390 43040400 43318080 44762016 46627100 48131200 50294400 51648480 54147600 55952520 57387200 59682688 64560600 67143024 68864640 69940650 72196800 74603360 75441600 79459200 83928780 86080800 86636160 89524032 93254200 103296960 104910975 108295200 111905040 114774400 129121200 134286048 139881300 144393600 149206720 150883200 167857560 172161600 179048064 186508400 206593920 209821950 216590400 223810080 258242400 268572096 279762600 298413440 335715120 344323200 373016800 419643900 433180800 447620160 516484800 537144192 559525200 671430240 746033600 839287800 895240320 1032969600 1119050400 1342860480 1492067200 1678575600 2238100800 2685720960 3357151200 4476201600 6714302400 13428604800
- Sum of all divisors σ(n): 54161265600
- Sum of proper divisors (its aliquot sum) s(n): 40732660800
- 13428604800 is an abundant number, because the sum of its proper divisors (40732660800) is greater than itself. Its abundance is 27304056000
Bases of 13428604800
- Binary: 11001000000110100000111111100000002
- Hexadecimal: 0x320683F80
- Base-36: 6631LS0
Squares and roots of 13428604800
- 13428604800 squared (134286048002) is 180327426874583040000
- 13428604800 cubed (134286048003) is 2421545750099674808942592000000
-
The
square root of 13428604800 is 115881.8570786643 -
The
cube root of 13428604800 is 2376.8966448863
Scales and comparisons
How big is 13428604800?- 13,428,604,800 seconds is equal to 426 years, 51 weeks, 2 days, 16 hours.
-
To count from 1 to 13,428,604,800 would take you about eight hundred fifty-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 13428604800 cubic inches would be around 198.1 feet tall.
Recreational maths with 13428604800
- 13428604800 backwards is 00840682431
- 13428604800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13428604800's digits is 36
- More coming soon!
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