13003972800
13,003,972,800 is an even composite number composed of six prime numbers multiplied together.
13003972800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 13003972800:
26 × 3 × 52 × 72 × 13 × 4253
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 4253)See below for interesting mathematical facts about the number 13003972800 from the Numbermatics database.
Names of 13003972800
- Cardinal: 13003972800 can be written as Thirteen billion, three million, nine hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30039728 × 1010
Factors of 13003972800
Divisors of 13003972800
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 130 140 147 150 156 160 168 175 182 192 195 196 200 208 210 224 240 245 260 273 280 294 300 312 320 325 336 350 364 390 392 400 416 420 448 455 480 490 520 525 546 560 588 600 624 637 650 672 700 728 735 780 784 800 832 840 910 960 975 980 1040 1050 1092 1120 1176 1200 1225 1248 1274 1300 1344 1365 1400 1456 1470 1560 1568 1600 1680 1820 1911 1950 1960 2080 2100 2184 2240 2275 2352 2400 2450 2496 2548 2600 2730 2800 2912 2940 3120 3136 3185 3360 3640 3675 3822 3900 3920 4160 4200 4253 4368 4550 4704 4800 4900 5096 5200 5460 5600 5824 5880 6240 6370 6720 6825 7280 7350 7644 7800 7840 8400 8506 8736 9100 9408 9555 9800 10192 10400 10920 11200 11760 12480 12740 12759 13650 14560 14700 15288 15600 15680 15925 16800 17012 17472 18200 19110 19600 20384 20800 21265 21840 23520 25480 25518 27300 29120 29400 29771 30576 31200 31850 33600 34024 36400 38220 39200 40768 42530 43680 47040 47775 50960 51036 54600 55289 58800 59542 61152 62400 63700 63795 68048 72800 76440 78400 85060 87360 89313 95550 101920 102072 106325 109200 110578 117600 119084 122304 127400 127590 136096 145600 148855 152880 165867 170120 178626 191100 203840 204144 208397 212650 218400 221156 235200 238168 254800 255180 272192 276445 297710 305760 318975 331734 340240 357252 382200 387023 408288 416794 425300 436800 442312 446565 476336 509600 510360 552890 595420 611520 625191 637950 663468 680480 714504 744275 764400 774046 816576 829335 833588 850600 884624 893130 952672 1019200 1020720 1041985 1105780 1161069 1190840 1250382 1275900 1326936 1360960 1382225 1429008 1488550 1528800 1548092 1658670 1667176 1701200 1769248 1786260 1905344 1935115 2041440 2083970 2211560 2232825 2322138 2381680 2500764 2551800 2653872 2709161 2764450 2858016 2977100 3057600 3096184 3125955 3317340 3334352 3402400 3538496 3572520 3870230 4082880 4146675 4167940 4423120 4465650 4644276 4763360 5001528 5103600 5209925 5307744 5418322 5528900 5716032 5805345 5954200 6192368 6251910 6634680 6668704 6804800 7145040 7740460 8127483 8293350 8335880 8846240 8931300 9288552 9526720 9675575 10003056 10207200 10419850 10615488 10836644 11057800 11610690 11908400 12384736 12503820 13269360 13337408 13545805 14290080 15480920 15629775 16254966 16586700 16671760 17692480 17862600 18577104 19351150 20006112 20414400 20839700 21673288 22115600 23221380 23816800 24769472 25007640 26538720 27091610 28580160 29026725 30961840 31259550 32509932 33173400 33343520 35725200 37154208 38702300 40012224 40637415 41679400 43346576 44231200 46442760 47633600 50015280 53077440 54183220 58053450 61923680 62519100 65019864 66346800 66687040 67729025 71450400 74308416 77404600 81274830 83358800 86693152 88462400 92885520 100030560 108366440 116106900 123847360 125038200 130039728 132693600 135458050 142900800 154809200 162549660 166717600 173386304 185771040 200061120 203187075 216732880 232213800 250076400 260079456 265387200 270916100 309618400 325099320 333435200 371542080 406374150 433465760 464427600 500152800 520158912 541832200 619236800 650198640 812748300 866931520 928855200 1000305600 1083664400 1300397280 1625496600 1857710400 2167328800 2600794560 3250993200 4334657600 6501986400 13003972800
- Sum of all divisors σ(n): 53459609616
- Sum of proper divisors (its aliquot sum) s(n): 40455636816
- 13003972800 is an abundant number, because the sum of its proper divisors (40455636816) is greater than itself. Its abundance is 27451664016
Bases of 13003972800
- Binary: 11000001110001100011100000110000002
- Hexadecimal: 0x30718E0C0
- Base-36: 5Z289MO
Squares and roots of 13003972800
- 13003972800 squared (130039728002) is 169103308583139840000
- 13003972800 cubed (130039728003) is 2199014825205157017956352000000
-
The
square root of 13003972800 is 114034.9630595809 -
The
cube root of 13003972800 is 2351.5741859525
Scales and comparisons
How big is 13003972800?- 13,003,972,800 seconds is equal to 413 years, 25 weeks, 1 day, 22 hours, 40 minutes.
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To count from 1 to 13,003,972,800 would take you about eight hundred twenty-six 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 13003972800 cubic inches would be around 196 feet tall.
Recreational maths with 13003972800
- 13003972800 backwards is 00827930031
- The number of decimal digits it has is: 11
- The sum of 13003972800's digits is 33
- More coming soon!
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