13982098800
13,982,098,800 is an even composite number composed of seven prime numbers multiplied together.
13982098800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13982098800:
24 × 3 × 52 × 17 × 41 × 73 × 229
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 41 × 73 × 229)See below for interesting mathematical facts about the number 13982098800 from the Numbermatics database.
Names of 13982098800
- Cardinal: 13982098800 can be written as Thirteen billion, nine hundred eighty-two million, ninety-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39820988 × 1010
Factors of 13982098800
Divisors of 13982098800
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 41 48 50 51 60 68 73 75 80 82 85 100 102 120 123 136 146 150 164 170 200 204 205 219 229 240 246 255 272 292 300 328 340 365 400 408 410 425 438 458 492 510 584 600 615 656 680 687 697 730 816 820 850 876 916 984 1020 1025 1095 1145 1168 1200 1230 1241 1275 1360 1374 1394 1460 1640 1700 1752 1825 1832 1968 2040 2050 2091 2190 2290 2460 2482 2550 2748 2788 2920 2993 3075 3280 3400 3435 3485 3504 3650 3664 3723 3893 4080 4100 4182 4380 4580 4920 4964 5100 5475 5496 5576 5725 5840 5986 6150 6205 6800 6870 6970 7300 7446 7786 8200 8364 8760 8979 9160 9389 9840 9928 10200 10455 10950 10992 11152 11450 11679 11972 12300 12410 13740 13940 14600 14892 14965 15572 16400 16717 16728 17175 17425 17520 17958 18320 18615 18778 19465 19856 20400 20910 21900 22900 23358 23944 24600 24820 27480 27880 28167 29200 29784 29930 31025 31144 33434 33456 34350 34850 35916 37230 37556 38930 41820 43800 44895 45800 46716 46945 47888 49200 49640 50151 50881 52275 54960 55760 56334 58395 59568 59860 62050 62288 66868 68700 69700 71832 74460 74825 75112 77860 83585 83640 87600 89790 91600 93075 93432 93890 97325 99280 100302 101762 104550 112668 116790 119720 124100 133736 137400 139400 140835 143664 148920 149650 150224 152643 155720 159613 167170 167280 179580 186150 186864 187780 194650 200604 203524 209100 224475 225336 233580 234725 239440 248200 250755 254405 267472 274800 278800 281670 284189 291975 297840 299300 305286 311440 319226 334340 359160 372300 375560 389300 401208 407048 417925 418200 448950 450672 467160 469450 478839 496400 501510 508810 563340 568378 583950 598600 610572 638452 668680 685397 704175 718320 744600 751120 763215 778600 798065 802416 814096 835850 836400 852567 897900 934320 938900 957678 1003020 1017620 1126680 1136756 1167900 1197200 1221144 1253775 1272025 1276904 1337360 1370794 1408350 1420945 1489200 1526430 1557200 1596130 1671700 1705134 1795800 1877800 1915356 2006040 2035240 2056191 2253360 2273512 2335800 2394195 2442288 2507550 2544050 2553808 2741588 2816700 2841890 3052860 3192260 3343400 3410268 3426985 3591600 3755600 3816075 3830712 3990325 4012080 4070480 4112382 4262835 4547024 4671600 4788390 5015100 5088100 5483176 5633400 5683780 6105720 6384520 6686800 6820536 6853970 7104725 7632150 7661424 7980650 8224764 8525670 9576780 10030200 10176200 10280955 10966352 11266800 11367560 11651749 11970975 12211440 12769040 13641072 13707940 14209450 15264300 15961300 16449528 17051340 17134925 19153560 20060400 20352400 20561910 21314175 22735120 23303498 23941950 27415880 28418900 30528600 31922600 32899056 34102680 34269850 34955247 38307120 41123820 42628350 46606996 47883900 51404775 54831760 56837800 58258745 61057200 63845200 68205360 68539700 69910494 82247640 85256700 93213992 95767800 102809550 113675600 116517490 137079400 139820988 164495280 170513400 174776235 186427984 191535600 205619100 233034980 274158800 279641976 291293725 341026800 349552470 411238200 466069960 559283952 582587450 699104940 822476400 873881175 932139920 1165174900 1398209880 1747762350 2330349800 2796419760 3495524700 4660699600 6991049400 13982098800
- Sum of all divisors σ(n): 49461209280
- Sum of proper divisors (its aliquot sum) s(n): 35479110480
- 13982098800 is an abundant number, because the sum of its proper divisors (35479110480) is greater than itself. Its abundance is 21497011680
Bases of 13982098800
- Binary: 11010000010110010111100101011100002
- Hexadecimal: 0x34165E570
- Base-36: 6F8KWHC
Squares and roots of 13982098800
- 13982098800 squared (139820988002) is 195499086852961440000
- 13982098800 cubed (139820988003) is 2733487547687887926670272000000
-
The
square root of 13982098800 is 118245.9250883513 -
The
cube root of 13982098800 is 2409.1145774905
Scales and comparisons
How big is 13982098800?- 13,982,098,800 seconds is equal to 444 years, 30 weeks, 3 days, 20 hours, 20 minutes.
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To count from 1 to 13,982,098,800 would take you about eight hundred eighty-nine 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 13982098800 cubic inches would be around 200.8 feet tall.
Recreational maths with 13982098800
- 13982098800 backwards is 00889028931
- 13982098800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13982098800's digits is 48
- More coming soon!
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