34628082768000
34,628,082,768,000 is an even composite number composed of eight prime numbers multiplied together.
34628082768000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand and ninety-six divisors.
Prime factorization of 34628082768000:
27 × 33 × 53 × 19 × 23 × 31 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 23 × 31 × 61 × 97)See below for interesting mathematical facts about the number 34628082768000 from the Numbermatics database.
Names of 34628082768000
- Cardinal: 34628082768000 can be written as Thirty-four trillion, six hundred twenty-eight billion, eighty-two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.4628082768 × 1013
Factors of 34628082768000
Divisors of 34628082768000
- Number of divisors d(n): 4096
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 27 30 31 32 36 38 40 45 46 48 50 54 57 60 61 62 64 69 72 75 76 80 90 92 93 95 96 97 100 108 114 115 120 122 124 125 128 135 138 144 150 152 155 160 171 180 183 184 186 190 192 194 200 207 216 225 228 230 240 244 248 250 270 276 279 285 288 291 300 304 305 310 320 342 345 360 366 368 372 375 380 384 388 400 414 432 437 450 456 460 465 475 480 485 488 496 500 513 540 549 552 558 570 575 576 582 589 600 608 610 620 621 640 675 684 690 713 720 732 736 744 750 760 775 776 800 828 837 855 864 873 874 900 912 915 920 930 950 960 970 976 992 1000 1026 1035 1080 1098 1104 1116 1125 1140 1150 1152 1159 1164 1178 1200 1216 1220 1240 1242 1311 1350 1368 1380 1395 1403 1425 1426 1440 1455 1464 1472 1488 1500 1520 1525 1550 1552 1600 1647 1656 1674 1710 1725 1728 1746 1748 1767 1800 1824 1830 1840 1843 1860 1891 1900 1920 1940 1952 1984 2000 2052 2070 2139 2160 2185 2196 2208 2231 2232 2250 2280 2300 2318 2325 2328 2356 2375 2400 2425 2432 2440 2480 2484 2565 2619 2622 2700 2736 2745 2760 2790 2806 2850 2852 2875 2880 2910 2928 2944 2945 2976 3000 3007 3040 3050 3100 3104 3105 3200 3294 3312 3348 3375 3420 3450 3456 3477 3492 3496 3534 3565 3600 3648 3660 3680 3686 3720 3782 3800 3875 3880 3904 3933 3968 4000 4104 4140 4185 4209 4275 4278 4320 4365 4370 4392 4416 4462 4464 4500 4560 4575 4600 4636 4650 4656 4712 4750 4800 4850 4880 4960 4968 5130 5175 5238 5244 5301 5400 5472 5490 5520 5529 5580 5612 5673 5700 5704 5750 5760 5795 5820 5856 5890 5917 5952 6000 6014 6080 6100 6200 6208 6210 6417 6555 6588 6624 6693 6696 6750 6840 6900 6954 6975 6984 6992 7015 7068 7125 7130 7200 7275 7296 7320 7360 7372 7440 7564 7600 7625 7750 7760 7808 7866 8000 8208 8235 8280 8370 8418 8550 8556 8625 8640 8730 8740 8784 8832 8835 8924 8928 9000 9021 9120 9150 9200 9215 9272 9300 9312 9424 9455 9500 9600 9700 9760 9920 9936 10260 10350 10431 10476 10488 10602 10695 10800 10925 10944 10980 11040 11058 11155 11160 11224 11346 11400 11408 11500 11590 11625 11640 11712 11780 11799 11834 11904 12000 12028 12125 12160 12200 12400 12416 12420 12627 12825 12834 13095 13110 13176 13248 13386 13392 13500 13547 13680 13725 13800 13908 13950 13968 13984 14030 14136 14250 14260 14400 14550 14640 14720 14725 14744 14880 15035 15128 15200 15250 15500 15520 15525 15732 15903 16000 16416 16470 16560 16587 16740 16836 17019 17100 17112 17250 17280 17385 17460 17480 17568 17670 17751 17825 17848 17856 18000 18042 18240 18300 18400 18430 18544 18600 18624 18848 18910 19000 19251 19400 19520 19665 19840 19872 20079 20520 20700 20862 20925 20952 20976 21045 21204 21375 21390 21600 21825 21850 21888 21960 22080 22116 22310 22320 22448 22692 22800 22816 22875 23000 23180 23250 23280 23424 23560 23598 23668 24000 24056 24250 24400 24800 24840 25254 25650 25668 25875 26190 26220 26352 26496 26505 26657 26772 26784 27000 27063 27094 27360 27450 27600 27645 27816 27900 27936 27968 28060 28272 28365 28500 28520 28800 28975 29100 29280 29450 29488 29585 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182253067200 186172488000 188196102000 189224496000 192378237600 202503408000 216425517300 223406985600 227816334000 230853885120 240472797000 250928136000 256504316800 270531896625 277024662144 279258732000 283836744000 288567356400 301113763200 303755112000 320630396000 346280827680 356990544000 360709195500 364506134400 372344976000 376392204000 384756475200 432851034600 455632668000 461707770240 480945594000 501856272000 541063793250 558517464000 567673488000 577134712800 607510224000 641260792000 692561655360 721418391000 752784408000 769512950400 865702069200 911265336000 961891188000 1082127586500 1117034928000 1154269425600 1282521584000 1385123310720 1442836782000 1505568816000 1731404138400 1822530672000 1923782376000 2164255173000 2308538851200 2885673564000 3462808276800 3847564752000 4328510346000 5771347128000 6925616553600 8657020692000 11542694256000 17314041384000 34628082768000
- Sum of all divisors σ(n): 148502495232000
- Sum of proper divisors (its aliquot sum) s(n): 113874412464000
- 34628082768000 is an abundant number, because the sum of its proper divisors (113874412464000) is greater than itself. Its abundance is 79246329696000
Bases of 34628082768000
- Binary: 1111101111110011110101001001010011000100000002
- Hexadecimal: 0x1F7E7A929880
- Base-36: C9VX6EQO0
Squares and roots of 34628082768000
- 34628082768000 squared (346280827680002) is 1199104116187458541824000000
- 34628082768000 cubed (346280827680003) is 41522676582788802989850061688832000000000
-
The
square root of 34628082768000 is 5884563.0906635711 -
The
cube root of 34628082768000 is 32594.3868439225
Scales and comparisons
How big is 34628082768000?- 34,628,082,768,000 seconds is equal to 1,101,065 years, 47 weeks, 6 days.
-
To count from 1 to 34,628,082,768,000 would take you about two million, seven hundred fifty-two thousand, six hundred sixty-four 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 34628082768000 cubic inches would be around 2716.2 feet tall.
Recreational maths with 34628082768000
- 34628082768000 backwards is 00086728082643
- 34628082768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34628082768000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 34628082768000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 34628082768000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/34628082768000/
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The information we have on file for 34628082768000 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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