345342672000
345,342,672,000 is an even composite number composed of six prime numbers multiplied together.
345342672000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 345342672000:
27 × 32 × 53 × 29 × 41 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 41 × 2017)See below for interesting mathematical facts about the number 345342672000 from the Numbermatics database.
Names of 345342672000
- Cardinal: 345342672000 can be written as Three hundred forty-five billion, three hundred forty-two million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 3.45342672 × 1011
Factors of 345342672000
Divisors of 345342672000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 41 45 48 50 58 60 64 72 75 80 82 87 90 96 100 116 120 123 125 128 144 145 150 160 164 174 180 192 200 205 225 232 240 246 250 261 288 290 300 320 328 348 360 369 375 384 400 410 435 450 464 480 492 500 522 576 580 600 615 640 656 696 720 725 738 750 800 820 870 900 928 960 984 1000 1025 1044 1125 1152 1160 1189 1200 1230 1305 1312 1392 1440 1450 1476 1500 1600 1640 1740 1800 1845 1856 1920 1968 2000 2017 2050 2088 2175 2250 2320 2378 2400 2460 2610 2624 2784 2880 2900 2952 3000 3075 3200 3280 3480 3567 3600 3625 3690 3712 3936 4000 4034 4100 4176 4350 4500 4640 4756 4800 4920 5125 5220 5248 5568 5760 5800 5904 5945 6000 6051 6150 6525 6560 6960 7134 7200 7250 7380 7872 8000 8068 8200 8352 8700 9000 9225 9280 9512 9600 9840 10085 10250 10440 10701 10875 11136 11600 11808 11890 12000 12102 12300 13050 13120 13920 14268 14400 14500 14760 15375 15744 16000 16136 16400 16704 17400 17835 18000 18153 18450 18560 19024 19680 20170 20500 20880 21402 21750 23200 23616 23780 24000 24204 24600 26100 26240 27840 28536 28800 29000 29520 29725 30255 30750 32272 32625 32800 33408 34800 35670 36000 36306 36900 38048 39360 40340 41000 41760 42804 43500 46125 46400 47232 47560 48000 48408 49200 50425 52200 53505 55680 57072 58000 58493 59040 59450 60510 61500 64544 65250 65600 69600 71340 72000 72612 73800 76096 78720 80680 82000 82697 83520 85608 87000 89175 90765 92250 92800 95120 96816 98400 100850 104400 107010 114144 116000 116986 118080 118900 121020 123000 129088 130500 131200 139200 142680 144000 145224 147600 148625 151275 152192 161360 164000 165394 167040 171216 174000 175479 178350 181530 184500 190240 193632 196800 201700 208800 214020 228288 232000 233972 236160 237800 242040 246000 248091 252125 258176 261000 267525 278400 285360 290448 292465 295200 297250 302550 322720 328000 330788 342432 348000 350958 356700 363060 369000 380480 387264 393600 403400 413485 417600 428040 445875 453825 456576 464000 467944 475600 484080 492000 496182 504250 522000 526437 535050 570720 580896 584930 590400 594500 605100 645440 656000 661576 684864 696000 701916 713400 726120 738000 744273 756375 760960 774528 806800 826970 835200 856080 877395 891750 907650 935888 951200 968160 984000 992364 1008500 1044000 1052874 1070100 1141440 1161792 1169860 1180800 1189000 1210200 1240455 1290880 1323152 1337625 1369728 1392000 1403832 1426800 1452240 1462325 1476000 1488546 1512750 1613600 1653940 1712160 1754790 1783500 1815300 1871776 1902400 1936320 1968000 1984728 2017000 2067425 2088000 2105748 2140200 2269125 2282880 2323584 2339720 2378000 2398213 2420400 2480910 2632185 2646304 2675250 2807664 2853600 2904480 2924650 2952000 2977092 3025500 3227200 3307880 3424320 3509580 3567000 3630600 3721365 3743552 3804800 3872640 3969456 4034000 4134850 4176000 4211496 4280400 4386975 4538250 4679440 4756000 4796426 4840800 4961820 5264370 5292608 5350500 5615328 5707200 5808960 5849300 5904000 5954184 6051000 6202275 6454400 6615760 6848640 7019160 7134000 7194639 7261200 7311625 7442730 7487104 7938912 8068000 8269700 8422992 8560800 8773950 9076500 9358880 9512000 9592852 9681600 9923640 10337125 10528740 10585216 10701000 11230656 11414400 11617920 11698600 11908368 11991065 12102000 12404550 13160925 13231520 14038320 14268000 14389278 14522400 14623250 14885460 15877824 16136000 16539400 16845984 17121600 17547900 18153000 18606825 18717760 19024000 19185704 19363200 19847280 20674250 21057480 21402000 21583917 21934875 22461312 23397200 23816736 23982130 24204000 24809100 26321850 26463040 28076640 28536000 28778556 29044800 29246500 29770920 31011375 31755648 32272000 33078800 33691968 34243200 35095800 35973195 36306000 37213650 37435520 38371408 39694560 41348500 42114960 42804000 43167834 43869750 46794400 47633472 47964260 48408000 49618200 52643700 52926080 56153280 57072000 57557112 58089600 58493000 59541840 59955325 62022750 65804625 66157600 67383936 70191600 71946390 72612000 74427300 76742816 79389120 82697000 84229920 85608000 86335668 87739500 93034125 93588800 95266944 95928520 96816000 99236400 105287400 107919585 112306560 115114224 116986000 119083680 119910650 124045500 131609250 132315200 140383200 143892780 145224000 148854600 153485632 158778240 165394000 168459840 171216000 172671336 175479000 179865975 186068250 187177600 191857040 198472800 210574800 215839170 230228448 233972000 238167360 239821300 248091000 263218500 264630400 280766400 287785560 290448000 297709200 299776625 306971264 330788000 336919680 345342672 350958000 359731950 372136500 383714080 396945600 421149600 431678340 460456896 467944000 476334720 479642600 496182000 526437000 539597925 561532800 575571120 595418400 599553250 661576000 690685344 701916000 719463900 744273000 767428160 793891200 842299200 863356680 899329875 920913792 935888000 959285200 992364000 1052874000 1079195850 1151142240 1190836800 1199106500 1323152000 1381370688 1403832000 1438927800 1488546000 1534856320 1684598400 1726713360 1798659750 1918570400 1984728000 2105748000 2158391700 2302284480 2381673600 2398213000 2697989625 2762741376 2807664000 2877855600 2977092000 3453426720 3597319500 3837140800 3969456000 4211496000 4316783400 4604568960 4796426000 5395979250 5755711200 5954184000 6906853440 7194639000 7674281600 8422992000 8633566800 9592852000 10791958500 11511422400 11908368000 13813706880 14389278000 17267133600 19185704000 21583917000 23022844800 28778556000 34534267200 38371408000 43167834000 57557112000 69068534400 86335668000 115114224000 172671336000 345342672000
- Sum of all divisors σ(n): 1314921535200
- Sum of proper divisors (its aliquot sum) s(n): 969578863200
- 345342672000 is an abundant number, because the sum of its proper divisors (969578863200) is greater than itself. Its abundance is 624236191200
Bases of 345342672000
- Binary: 1010000011010000000011011111100100000002
- Hexadecimal: 0x506806FC80
- Base-36: 4ENC3Z40
Squares and roots of 345342672000
- 345342672000 squared (3453426720002) is 119261561104099584000000
- 345342672000 cubed (3453426720003) is 41186106178581020492648448000000000
-
The
square root of 345342672000 is 587658.6356040383 -
The
cube root of 345342672000 is 7015.9003993423
Scales and comparisons
How big is 345342672000?- 345,342,672,000 seconds is equal to 10,980 years, 43 weeks, 16 hours.
-
To count from 1 to 345,342,672,000 would take you about twenty-one thousand, nine hundred sixty-one 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 345342672000 cubic inches would be around 584.7 feet tall.
Recreational maths with 345342672000
- 345342672000 backwards is 000276243543
- 345342672000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 345342672000's digits is 36
- More coming soon!
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