13034331648000
13,034,331,648,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13034331648000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3328 divisors.
13034331648000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred twenty-eight divisors.
Prime factorization of 13034331648000:
212 × 33 × 53 × 13 × 29 × 41 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 29 × 41 × 61)See below for interesting mathematical facts about the number 13034331648000 from the Numbermatics database.
Names of 13034331648000
- Cardinal: 13034331648000 can be written as Thirteen trillion, thirty-four billion, three hundred thirty-one million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3034331648 × 1013
Factors of 13034331648000
Divisors of 13034331648000
- Number of divisors d(n): 3328
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 41 45 48 50 52 54 58 60 61 64 65 72 75 78 80 82 87 90 96 100 104 108 116 117 120 122 123 125 128 130 135 144 145 150 156 160 164 174 180 183 192 195 200 205 208 216 225 232 234 240 244 246 250 256 260 261 270 288 290 300 305 312 320 325 328 348 351 360 366 369 375 377 384 390 400 410 416 432 435 450 464 468 480 488 492 500 512 520 522 533 540 549 576 580 585 600 610 615 624 640 650 656 675 696 702 720 725 732 738 750 754 768 780 783 793 800 820 832 864 870 900 915 928 936 960 975 976 984 1000 1024 1025 1040 1044 1066 1080 1098 1107 1125 1131 1152 1160 1170 1189 1200 1220 1230 1248 1280 1300 1305 1312 1350 1392 1404 1440 1450 1464 1476 1500 1508 1525 1536 1560 1566 1586 1599 1600 1625 1640 1647 1664 1728 1740 1755 1769 1800 1830 1845 1856 1872 1885 1920 1950 1952 1968 2000 2048 2050 2080 2088 2132 2160 2175 2196 2214 2250 2262 2304 2320 2340 2378 2379 2400 2440 2460 2496 2501 2560 2600 2610 2624 2665 2700 2745 2784 2808 2880 2900 2925 2928 2952 3000 3016 3050 3072 3075 3120 3132 3172 3198 3200 3250 3280 3294 3328 3375 3393 3456 3480 3510 3538 3567 3600 3625 3660 3690 3712 3744 3770 3840 3900 3904 3915 3936 3965 4000 4096 4100 4160 4176 4264 4320 4350 4392 4428 4500 4524 4575 4608 4640 4680 4756 4758 4797 4800 4875 4880 4920 4992 5002 5120 5125 5200 5220 5248 5307 5330 5400 5490 5535 5568 5616 5655 5760 5800 5850 5856 5904 5945 6000 6032 6100 6144 6150 6240 6264 6344 6396 6400 6500 6525 6560 6588 6656 6750 6786 6912 6960 7020 7076 7134 7137 7200 7250 7320 7380 7424 7488 7503 7540 7625 7680 7800 7808 7830 7872 7930 7995 8000 8200 8235 8320 8352 8528 8640 8700 8775 8784 8845 8856 9000 9048 9150 9216 9225 9280 9360 9425 9512 9516 9594 9600 9750 9760 9840 9984 10004 10179 10240 10250 10400 10440 10496 10614 10660 10701 10800 10875 10980 11070 11136 11232 11310 11520 11600 11700 11712 11808 11890 11895 12000 12064 12200 12288 12300 12480 12505 12528 12688 12792 12800 13000 13050 13120 13176 13312 13325 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67887144000 71225856000 72412953600 74909952000 79477632000 81464572800 83553408000 86895544320 89891942400 90516192000 96550604800 100264089600 101830716000 104274653184 105970176000 106838784000 108619430400 111404544000 112364928000 120688256000 125330112000 130343316480 135774288000 144825907200 149819904000 158955264000 162929145600 167106816000 173791088640 181032384000 200528179200 203661432000 213677568000 217238860800 224729856000 241376512000 250660224000 260686632960 271548576000 289651814400 317910528000 325858291200 334213632000 362064768000 407322864000 434477721600 449459712000 482753024000 501320448000 521373265920 543097152000 651716582400 724129536000 814645728000 868955443200 1002640896000 1086194304000 1303433164800 1448259072000 1629291456000 2172388608000 2606866329600 3258582912000 4344777216000 6517165824000 13034331648000
- Sum of all divisors σ(n): 55899997171200
- Sum of proper divisors (its aliquot sum) s(n): 42865665523200
- 13034331648000 is an abundant number, because the sum of its proper divisors (42865665523200) is greater than itself. Its abundance is 29831333875200
Bases of 13034331648000
- Binary: 101111011010110010101011010100110000000000002
- Hexadecimal: 0xBDACAB53000
- Base-36: 4MBW0IYO0
Squares and roots of 13034331648000
- 13034331648000 squared (130343316480002) is 169893801510054395904000000
- 13034331648000 cubed (130343316480003) is 2214452153821532202733028769792000000000
-
The
square root of 13034331648000 is 3610309.0792894727 -
The
cube root of 13034331648000 is 23534.0274507011
Scales and comparisons
How big is 13034331648000?- 13,034,331,648,000 seconds is equal to 414,451 years, 22 weeks, 2 days.
-
To count from 1 to 13,034,331,648,000 would take you about one million, thirty-six thousand, one hundred twenty-eight 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 13034331648000 cubic inches would be around 1961.2 feet tall.
Recreational maths with 13034331648000
- 13034331648000 backwards is 00084613343031
- 13034331648000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13034331648000's digits is 36
- More coming soon!
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MLA style:
"Number 13034331648000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 13034331648000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/13034331648000/
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The information we have on file for 13034331648000 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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