13208918400
13,208,918,400 is an even composite number composed of five prime numbers multiplied together.
13208918400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13208918400:
27 × 33 × 52 × 172 × 232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 23 × 23)See below for interesting mathematical facts about the number 13208918400 from the Numbermatics database.
Names of 13208918400
- Cardinal: 13208918400 can be written as Thirteen billion, two hundred eight million, nine hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.32089184 × 1010
Factors of 13208918400
Divisors of 13208918400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 25 27 30 32 34 36 40 45 46 48 50 51 54 60 64 68 69 72 75 80 85 90 92 96 100 102 108 115 120 128 135 136 138 144 150 153 160 170 180 184 192 200 204 207 216 225 230 240 255 270 272 276 288 289 300 306 320 340 345 360 368 384 391 400 408 414 425 432 450 459 460 480 510 529 540 544 552 575 576 578 600 612 621 640 675 680 690 720 736 765 782 800 816 828 850 864 867 900 918 920 960 1020 1035 1058 1080 1088 1104 1150 1152 1156 1173 1200 1224 1242 1275 1350 1360 1380 1440 1445 1472 1530 1564 1587 1600 1632 1656 1700 1725 1728 1734 1800 1836 1840 1920 1955 2040 2070 2116 2160 2176 2208 2295 2300 2312 2346 2400 2448 2484 2550 2601 2645 2700 2720 2760 2880 2890 2944 3060 3105 3128 3174 3200 3264 3312 3400 3450 3456 3468 3519 3600 3672 3680 3825 3910 4080 4140 4232 4320 4335 4416 4590 4600 4624 4692 4761 4800 4896 4968 5100 5175 5202 5290 5400 5440 5520 5760 5780 5865 6120 6210 6256 6348 6528 6624 6647 6800 6900 6936 7038 7200 7225 7344 7360 7650 7803 7820 7935 8160 8280 8464 8640 8670 8832 8993 9180 9200 9248 9384 9522 9600 9775 9792 9936 10200 10350 10404 10557 10580 10800 10880 11040 11475 11560 11730 12240 12420 12512 12696 13005 13225 13248 13294 13600 13800 13872 14076 14283 14400 14450 14688 14720 15300 15525 15606 15640 15870 16320 16560 16928 17280 17340 17595 17986 18360 18400 18496 18768 19044 19550 19584 19872 19941 20400 20700 20808 21114 21160 21600 21675 22080 22950 23120 23460 23805 24480 24840 25024 25392 26010 26450 26496 26588 26979 27200 27600 27744 28152 28566 28800 28900 29325 29376 30600 31050 31212 31280 31740 32640 33120 33235 33856 34680 35190 35972 36720 36800 36992 37536 38088 39015 39100 39675 39744 39882 40800 41400 41616 42228 42320 43200 43350 44160 44965 45900 46240 46920 47610 48960 49680 50048 50784 52020 52785 52900 53176 53958 54400 55200 55488 56304 57132 57800 58650 58752 59823 61200 62100 62424 62560 63480 65025 66240 66470 67712 69360 70380 71415 71944 73440 73600 75072 76176 78030 78200 79350 79488 79764 80937 81600 82800 83232 84456 84640 86400 86700 87975 89930 91800 92480 93840 95220 97920 99360 99705 101568 104040 105570 105800 106352 107916 110400 110976 112608 114264 115600 117300 119025 119646 122400 124200 124848 125120 126960 130050 132480 132940 134895 138720 140760 142830 143888 146880 150144 152352 152881 156060 156400 158700 159528 161874 163200 165600 166175 166464 168912 169280 173400 175950 179469 179860 183600 184960 187680 190440 195075 198720 199410 203136 208080 211140 211600 212704 215832 220800 224825 225216 228528 231200 234600 238050 239292 242811 244800 248400 249696 250240 253920 260100 263925 265880 269790 277440 281520 285660 287776 293760 299115 304704 305762 312120 312800 317400 319056 323748 331200 332350 332928 337824 338560 346800 351900 357075 358938 359720 367200 375360 380880 390150 397440 398820 404685 416160 422280 423200 425408 431664 449650 450432 457056 458643 462400 469200 476100 478584 485622 489600 496800 498525 499392 507840 520200 527850 531760 539580 554880 563040 571320 575552 598230 609408 611524 624240 625600 634800 638112 647496 662400 664700 674475 675648 693600 703800 714150 717876 719440 734400 750720 761760 764405 780300 797640 809370 832320 844560 846400 850816 863328 897345 899300 914112 917286 924800 938400 952200 957168 971244 993600 997050 998784 1015680 1040400 1055700 1063520 1079160 1126080 1142640 1151104 1196460 1214055 1223048 1248480 1251200 1269600 1276224 1294992 1329400 1348950 1351296 1375929 1387200 1407600 1428300 1435752 1438880 1468800 1495575 1523520 1528810 1560600 1595280 1618740 1664640 1689120 1692800 1726656 1794690 1798600 1828224 1834572 1876800 1904400 1914336 1942488 1987200 1994100 2023425 2080800 2111400 2127040 2158320 2252160 2285280 2293215 2392920 2428110 2446096 2496960 2539200 2552448 2589984 2658800 2697900 2751858 2774400 2815200 2856600 2871504 2877760 2991150 3047040 3057620 3121200 3190560 3237480 3378240 3453312 3589380 3597200 3669144 3753600 3808800 3822025 3828672 3884976 3988200 4046850 4127787 4161600 4222800 4254080 4316640 4486725 4570560 4586430 4785840 4856220 4892192 4993920 5078400 5179968 5317600 5395800 5503716 5630400 5713200 5743008 5755520 5982300 6070275 6115240 6242400 6381120 6474960 6756480 6879645 7178760 7194400 7338288 7617600 7644050 7657344 7769952 7976400 8093700 8255574 8323200 8445600 8633280 8973450 9141120 9172860 9571680 9712440 9784384 10359936 10635200 10791600 11007432 11260800 11426400 11466075 11486016 11964600 12140550 12230480 12484800 12762240 12949920 13759290 14357520 14388800 14676576 15235200 15288100 15539904 15952800 16187400 16511148 16891200 17266560 17946900 18345720 19143360 19424880 19568768 20638935 21270400 21583200 22014864 22852800 22932150 22972032 23929200 24281100 24460960 24969600 25899840 27518580 28715040 28777600 29353152 30576200 31079808 31905600 32374800 33022296 33782400 34398225 35893800 36691440 38286720 38849760 41277870 43166400 44029728 45705600 45864300 47858400 48562200 48921920 51799680 55037160 57430080 58706304 61152400 63811200 64749600 66044592 68796450 71787600 73382880 77699520 82555740 86332800 88059456 91728600 95716800 97124400 97843840 103194675 110074320 114860160 122304800 129499200 132089184 137592900 143575200 146765760 155399040 165111480 176118912 183457200 191433600 194248800 206389350 220148640 244609600 258998400 264178368 275185800 287150400 293531520 330222960 366914400 388497600 412778700 440297280 489219200 528356736 550371600 574300800 660445920 733828800 776995200 825557400 880594560 1100743200 1320891840 1467657600 1651114800 2201486400 2641783680 3302229600 4402972800 6604459200 13208918400
- Sum of all divisors σ(n): 53681590200
- Sum of proper divisors (its aliquot sum) s(n): 40472671800
- 13208918400 is an abundant number, because the sum of its proper divisors (40472671800) is greater than itself. Its abundance is 27263753400
Bases of 13208918400
- Binary: 11000100110101000000011001100000002
- Hexadecimal: 0x313501980
- Base-36: 62G8YO0
Squares and roots of 13208918400
- 13208918400 squared (132089184002) is 174475525297858560000
- 13208918400 cubed (132089184003) is 2304632976456549413781504000000
-
The
square root of 13208918400 is 114930.0587313867 -
The
cube root of 13208918400 is 2363.8636320111
Scales and comparisons
How big is 13208918400?- 13,208,918,400 seconds is equal to 420 years, 1 day.
-
To count from 1 to 13,208,918,400 would take you about eight hundred forty 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 13208918400 cubic inches would be around 197 feet tall.
Recreational maths with 13208918400
- 13208918400 backwards is 00481980231
- 13208918400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13208918400's digits is 36
- More coming soon!
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