345452814720
345,452,814,720 is an even composite number composed of seven prime numbers multiplied together.
345452814720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 345452814720:
27 × 32 × 5 × 13 × 37 × 67 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 37 × 67 × 1861)See below for interesting mathematical facts about the number 345452814720 from the Numbermatics database.
Names of 345452814720
- Cardinal: 345452814720 can be written as Three hundred forty-five billion, four hundred fifty-two million, eight hundred fourteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 3.4545281472 × 1011
Factors of 345452814720
Divisors of 345452814720
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 37 39 40 45 48 52 60 64 65 67 72 74 78 80 90 96 104 111 117 120 128 130 134 144 148 156 160 180 185 192 195 201 208 222 234 240 260 268 288 296 312 320 333 335 360 370 384 390 402 416 444 468 480 481 520 536 555 576 585 592 603 624 640 666 670 720 740 780 804 832 871 888 936 960 962 1005 1040 1072 1110 1152 1170 1184 1206 1248 1332 1340 1440 1443 1480 1560 1608 1664 1665 1742 1776 1861 1872 1920 1924 2010 2080 2144 2220 2340 2368 2405 2412 2479 2496 2613 2664 2680 2880 2886 2960 3015 3120 3216 3330 3484 3552 3722 3744 3848 4020 4160 4288 4329 4355 4440 4680 4736 4810 4824 4958 4992 5226 5328 5360 5583 5760 5772 5920 6030 6240 6432 6660 6968 7104 7215 7437 7444 7488 7696 7839 8040 8320 8576 8658 8710 8880 9305 9360 9620 9648 9916 10452 10656 10720 11166 11544 11840 12060 12395 12480 12864 13065 13320 13936 14208 14430 14874 14888 14976 15392 15678 16080 16749 17316 17420 17760 18610 18720 19240 19296 19832 20904 21312 21440 21645 22311 22332 23088 23680 24120 24193 24790 24960 25728 26130 26640 27872 27915 28860 29748 29776 30784 31356 32160 32227 33498 34632 34840 35520 37185 37220 37440 38480 38592 39195 39664 41808 42624 42880 43290 44622 44664 46176 48240 48386 49580 52260 53280 55744 55830 57720 59496 59552 61568 62712 64320 64454 66996 68857 69264 69680 71040 72579 74370 74440 74880 76960 77184 78390 79328 83616 83745 86580 89244 89328 92352 96480 96681 96772 99160 104520 106560 111488 111555 111660 115440 118992 119104 120965 124687 125424 128640 128908 133992 137714 138528 139360 145158 148740 148880 153920 156780 158656 161135 167232 167490 173160 178488 178656 184704 192960 193362 193544 198320 206571 209040 213120 217737 223110 223320 230880 237984 238208 241930 249374 250848 257816 267984 275428 277056 278720 290043 290316 297480 297760 307840 313560 317312 322270 334464 334980 344285 346320 356976 357312 362895 374061 385920 386724 387088 396640 413142 418080 435474 446220 446640 461760 475968 483405 483860 498748 501696 515632 535968 550856 554112 557440 580086 580632 594960 595520 619713 623435 627120 644540 669960 688570 692640 713952 714624 725790 748122 773448 774176 793280 826284 836160 870948 892440 893280 895141 923520 951936 966810 967720 997496 1003392 1031264 1032855 1071936 1088685 1101712 1122183 1160172 1161264 1189920 1191040 1239426 1246870 1254240 1289080 1339920 1377140 1385280 1427904 1450215 1451580 1496244 1546896 1548352 1586560 1620931 1652568 1672320 1741896 1784880 1786560 1790282 1870305 1933620 1935440 1994992 2062528 2065710 2143872 2177370 2203424 2244366 2320344 2322528 2379840 2478852 2493740 2508480 2578160 2679840 2685423 2754280 2770560 2855808 2900430 2903160 2992488 3093792 3096704 3098565 3241862 3305136 3483792 3569760 3573120 3580564 3740610 3867240 3870880 3989984 4125056 4131420 4354740 4406848 4475705 4488732 4613419 4640688 4645056 4759680 4862793 4957704 4987480 5016960 5156320 5359680 5370846 5508560 5610915 5800860 5806320 5984976 6187584 6197130 6483724 6610272 6967584 7139520 7161128 7481220 7734480 7741760 7979968 8056269 8104655 8262840 8709480 8813696 8951410 8977464 9226838 9281376 9290112 9725586 9915408 9974960 10312640 10719360 10741692 11017120 11221830 11601720 11612640 11969952 12375168 12394260 12967448 13220544 13427115 13840257 13935168 14279040 14322256 14588379 14962440 15468960 15483520 15959936 16112538 16209310 16525680 17418960 17902820 17954928 18453676 18562752 19451172 19830816 19949920 20625280 21483384 22034240 22443660 23067095 23203440 23225280 23939904 24313965 24788520 25934896 26441088 26854230 27680514 27870336 28644512 29176758 29924880 30937920 32225076 32418620 33051360 34837920 35805640 35909856 36907352 37125504 38902344 39661632 39899840 40281345 41520771 42966768 44068480 44887320 46134190 46406880 46450560 47879808 48627930 49577040 51869792 53708460 55361028 57289024 58353516 59849760 59974447 61875840 64450152 64837240 66102720 69201285 69675840 71611280 71819712 72941895 73814704 77804688 79323264 79799680 80562690 83041542 85933536 89774640 92268380 92813760 97255860 99154080 103739584 107416920 110722056 114578048 116707032 119699520 119948894 128900304 129674480 132205440 138402570 139351680 143222560 143639424 145883790 147629408 155609376 161125380 166083084 171867072 179549280 179923341 184536760 185627520 194511720 198308160 207479168 207603855 214833840 221444112 233414064 239399040 239897788 257800608 259348960 276805140 286445120 291767580 295258816 299872235 311218752 322250760 332166168 343734144 359098560 359846682 369073520 389023440 396616320 415207710 429667680 442888224 466828128 479795576 515601216 518697920 539770023 553610280 572890240 583535160 590517632 599744470 622437504 644501520 664332336 718197120 719693364 738147040 778046880 830415420 859335360 885776448 899616705 933656256 959591152 1031202432 1037395840 1079540046 1107220560 1167070320 1199488940 1289003040 1328664672 1439386728 1476294080 1556093760 1660830840 1718670720 1771552896 1799233410 1867312512 1919182304 2159080092 2214441120 2334140640 2398977880 2578006080 2657329344 2698850115 2878773456 2952588160 3112187520 3321661680 3598466820 3838364608 4318160184 4428882240 4668281280 4797955760 5156012160 5314658688 5397700230 5757546912 6643323360 7196933640 7676729216 8636320368 8857764480 9336562560 9595911520 10795400460 11515093824 13286646720 14393867280 17272640736 19191823040 21590800920 23030187648 26573293440 28787734560 34545281472 38383646080 43181601840 57575469120 69090562944 86363203680 115150938240 172726407360 345452814720
- Sum of all divisors σ(n): 1339784671680
- Sum of proper divisors (its aliquot sum) s(n): 994331856960
- 345452814720 is an abundant number, because the sum of its proper divisors (994331856960) is greater than itself. Its abundance is 648879042240
Bases of 345452814720
- Binary: 1010000011011101001011110100001100000002
- Hexadecimal: 0x506E97A180
- Base-36: 4EP5OPS0
Squares and roots of 345452814720
- 345452814720 squared (3454528147202) is 119337647197970648678400
- 345452814720 cubed (3454528147203) is 41225526126601281657897528066048000
-
The
square root of 345452814720 is 587752.3413139245 -
The
cube root of 345452814720 is 7016.6461979143
Scales and comparisons
How big is 345452814720?- 345,452,814,720 seconds is equal to 10,984 years, 17 weeks, 1 day, 11 hours, 12 minutes.
-
To count from 1 to 345,452,814,720 would take you about twenty-one thousand, nine hundred sixty-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 345452814720 cubic inches would be around 584.7 feet tall.
Recreational maths with 345452814720
- 345452814720 backwards is 027418254543
- 345452814720 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 345452814720's digits is 45
- More coming soon!
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The information we have on file for 345452814720 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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