468934123840
468,934,123,840 is an even composite number composed of six prime numbers multiplied together.
468934123840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 468934123840:
26 × 5 × 75 × 13 × 19 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 19 × 353)See below for interesting mathematical facts about the number 468934123840 from the Numbermatics database.
Names of 468934123840
- Cardinal: 468934123840 can be written as Four hundred sixty-eight billion, nine hundred thirty-four million, one hundred twenty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.6893412384 × 1011
Factors of 468934123840
Divisors of 468934123840
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 26 28 32 35 38 40 49 52 56 64 65 70 76 80 91 95 98 104 112 130 133 140 152 160 182 190 196 208 224 245 247 260 266 280 304 320 343 353 364 380 392 416 448 455 490 494 520 532 560 608 637 665 686 706 728 760 784 832 910 931 980 988 1040 1064 1120 1216 1235 1274 1330 1372 1412 1456 1520 1568 1715 1729 1765 1820 1862 1960 1976 2080 2128 2240 2401 2470 2471 2548 2660 2744 2824 2912 3040 3136 3185 3430 3458 3530 3640 3724 3920 3952 4160 4256 4459 4589 4655 4802 4940 4942 5096 5320 5488 5648 5824 6080 6370 6517 6707 6860 6916 7060 7280 7448 7840 7904 8512 8645 8918 9178 9310 9604 9880 9884 10192 10640 10976 11296 12005 12103 12355 12740 13034 13414 13720 13832 14120 14560 14896 15680 15808 16807 17290 17297 17836 18356 18620 19208 19760 19768 20384 21280 21952 22295 22592 22945 24010 24206 24710 25480 26068 26828 27440 27664 28240 29120 29792 31213 32123 32585 33535 33614 34580 34594 35672 36712 37240 38416 39520 39536 40768 42560 44590 45619 45890 46949 48020 48412 49420 50960 52136 53656 54880 55328 56480 59584 60515 62426 64246 65170 67070 67228 69160 69188 71344 73424 74480 76832 79040 79072 84035 84721 86485 87191 89180 91238 91780 93898 96040 96824 98840 101920 104272 107312 109760 110656 112960 121030 121079 124852 128492 130340 134140 134456 138320 138376 142688 146848 148960 153664 156065 158144 160615 168070 169442 172970 174382 178360 182476 183560 187796 192080 193648 197680 203840 208544 214624 218491 224861 228095 234745 242060 242158 249704 256984 260680 268280 268912 276640 276752 285376 293696 297920 312130 319333 321230 328643 336140 338884 345940 348764 356720 364952 367120 375592 384160 387296 395360 417088 423605 429248 435955 436982 449722 456190 469490 484120 484316 499408 513968 521360 536560 537824 553280 553504 593047 605395 610337 624260 638666 642460 657286 672280 677768 691880 697528 713440 729904 734240 751184 768320 774592 790720 847210 847553 871910 873964 899444 912380 938980 968240 968632 998816 1027936 1042720 1073120 1075648 1092455 1107008 1124305 1186094 1210790 1220674 1248520 1277332 1284920 1314572 1344560 1355536 1383760 1395056 1426880 1459808 1468480 1502368 1574027 1596665 1643215 1694420 1695106 1743820 1747928 1798888 1824760 1877960 1936480 1937264 1997632 2055872 2085440 2146240 2184910 2248610 2300501 2372188 2421580 2441348 2497040 2554664 2569840 2629144 2689120 2711072 2767520 2790112 2919616 2965235 3004736 3051685 3148054 3193330 3286430 3388840 3390212 3487640 3495856 3597776 3649520 3755920 3872960 3874528 4151329 4237765 4272359 4369820 4497220 4601002 4744376 4843160 4882696 4994080 5109328 5139680 5258288 5378240 5422144 5535040 5580224 5930470 5932871 6103370 6296108 6386660 6572860 6777680 6780424 6975280 6991712 7195552 7299040 7511840 7749056 7870135 8302658 8475530 8544718 8739640 8994440 9202004 9488752 9686320 9765392 9988160 10218656 10279360 10516576 11018189 11502505 11860940 11865742 12206740 12592216 12773320 13145720 13555360 13560848 13950560 13983424 14391104 14598080 15023680 15740270 16103507 16605316 16951060 17089436 17479280 17988880 18404008 18977504 19372640 19530784 20437312 20756645 21033152 21361795 22036378 23005010 23721880 23731484 24413480 25184432 25546640 26291440 27110720 27121696 27901120 29664355 29906513 31480540 32207014 33210632 33902120 34178872 34958560 35977760 36808016 37955008 38745280 39061568 41513290 42723590 44072756 46010020 47443760 47462968 48826960 50368864 51093280 52582880 54243392 55090945 59328710 59813026 62961080 64414028 66421264 67804240 68357744 69917120 71955520 73616032 77127323 80517535 83026580 85447180 88145512 92020040 94887520 94925936 97653920 100737728 102186560 105165760 110181890 112724549 118657420 119626052 125922160 128828056 132842528 135608480 136715488 147232064 149532565 154254646 161035070 166053160 170894360 176291024 184040080 189775040 189851872 195307840 209345591 220363780 225449098 237314840 239252104 251844320 257656112 265685056 271216960 273430976 299065130 308509292 322070140 332106320 341788720 352582048 368080160 379703744 385636615 418691182 440727560 450898196 474629680 478504208 503688640 515312224 563622745 598130260 617018584 644140280 664212640 683577440 705164096 736160320 771273230 837382364 881455120 901796392 949259360 957008416 1030624448 1046727955 1127245490 1196260520 1234037168 1288280560 1328425280 1367154880 1465419137 1542546460 1674764728 1762910240 1803592784 1898518720 1914016832 2093455910 2254490980 2392521040 2468074336 2576561120 2930838274 3085092920 3349529456 3525820480 3607185568 4186911820 4508981960 4785042080 4936148672 5153122240 5861676548 6170185840 6699058912 7214371136 7327095685 8373823640 9017963920 9570084160 11723353096 12340371680 13398117824 14654191370 16747647280 18035927840 23446706192 24680743360 29308382740 33495294560 36071855680 46893412384 58616765480 66990589120 93786824768 117233530960 234467061920 468934123840
- Sum of all divisors σ(n): 1480981259520
- Sum of proper divisors (its aliquot sum) s(n): 1012047135680
- 468934123840 is an abundant number, because the sum of its proper divisors (1012047135680) is greater than itself. Its abundance is 543113011840
Bases of 468934123840
- Binary: 1101101001011101010011011100001010000002
- Hexadecimal: 0x6D2EA6E140
- Base-36: 5ZFB9POG
Squares and roots of 468934123840
- 468934123840 squared (4689341238402) is 219899212501588456345600
- 468934123840 cubed (4689341238403) is 103118244547538357384682024239104000
-
The
square root of 468934123840 is 684787.6487203899 -
The
cube root of 468934123840 is 7769.0982261087
Scales and comparisons
How big is 468934123840?- 468,934,123,840 seconds is equal to 14,910 years, 34 weeks, 6 hours, 50 minutes, 40 seconds.
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To count from 1 to 468,934,123,840 would take you about twenty-nine thousand, eight hundred twenty-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 468934123840 cubic inches would be around 647.4 feet tall.
Recreational maths with 468934123840
- 468934123840 backwards is 048321439864
- 468934123840 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 468934123840's digits is 52
- More coming soon!
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The information we have on file for 468934123840 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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