468684450222120
468,684,450,222,120 is an even composite number composed of six prime numbers multiplied together.
468684450222120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 468684450222120:
23 × 34 × 5 × 11 × 292 × 15636763
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 29 × 29 × 15636763)See below for interesting mathematical facts about the number 468684450222120 from the Numbermatics database.
Names of 468684450222120
- Cardinal: 468684450222120 can be written as Four hundred sixty-eight trillion, six hundred eighty-four billion, four hundred fifty million, two hundred twenty-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.6868445022212 × 1014
Factors of 468684450222120
Divisors of 468684450222120
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 29 30 33 36 40 44 45 54 55 58 60 66 72 81 87 88 90 99 108 110 116 120 132 135 145 162 165 174 180 198 216 220 232 261 264 270 290 297 319 324 330 348 360 396 405 435 440 495 522 540 580 594 638 648 660 696 783 792 810 841 870 891 957 990 1044 1080 1160 1188 1276 1305 1320 1485 1566 1595 1620 1682 1740 1782 1914 1980 2088 2349 2376 2523 2552 2610 2871 2970 3132 3190 3240 3364 3480 3564 3828 3915 3960 4205 4455 4698 4785 5046 5220 5742 5940 6264 6380 6728 7128 7569 7656 7830 8410 8613 8910 9251 9396 9570 10092 10440 11484 11745 11880 12615 12760 14355 15138 15660 16820 17226 17820 18502 18792 19140 20184 22707 22968 23490 25230 25839 27753 28710 30276 31320 33640 34452 35640 37004 37845 38280 43065 45414 46255 46980 50460 51678 55506 57420 60552 68121 68904 74008 75690 83259 86130 90828 92510 93960 100920 103356 111012 113535 114840 129195 136242 138765 151380 166518 172260 181656 185020 206712 222024 227070 249777 258390 272484 277530 302760 333036 340605 344520 370040 416295 454140 499554 516780 544968 555060 666072 681210 749331 832590 908280 999108 1033560 1110120 1248885 1362420 1498662 1665180 1998216 2497770 2724840 2997324 3330360 3746655 4995540 5994648 7493310 9991080 14986620 15636763 29973240 31273526 46910289 62547052 78183815 93820578 125094104 140730867 156367630 172004393 187641156 234551445 281461734 312735260 344008786 375282312 422192601 453466127 469102890 516013179 562923468 625470520 688017572 703654335 844385202 860021965 906932254 938205780 1032026358 1125846936 1266577803 1360398381 1376035144 1407308670 1548039537 1688770404 1720043930 1813864508 1876411560 2064052716 2110963005 2267330635 2533155606 2580065895 2720796762 2814617340 3096079074 3377540808 3440087860 3627729016 4081195143 4128105432 4221926010 4534661270 4644118611 4988127397 5066311212 5160131790 5441593524 5629234680 6192158148 6332889015 6801991905 6880175720 7740197685 8162390286 8443852020 9069322540 9288237222 9976254794 10132622424 10320263580 10883187048 12243585429 12384316296 12665778030 13150517683 13603983810 13932355833 14964382191 15480395370 16324780572 16887704040 18138645080 18576474444 19952509588 20405975715 20640527160 23220593055 24487170858 24940636985 25331556060 26301035366 27207967620 27864711666 29928764382 30960790740 32649561144 36730756287 37152948888 39451553049 39905019176 40811951430 44893146573 46441186110 48974341716 49881273970 50663112120 52602070732 54415935240 55729423332 59857528764 61217927145 61921581480 65752588415 69661779165 73461512574 74821910955 78903106098 81623902860 89786293146 92882372220 97948683432 99762547940 105204141464 111458846664 118354659147 119715057528 122435854290 131505176830 134679439719 139323558330 144655694513 146923025148 149643821910 157806212196 163247805720 179572586292 183653781435 185764744440 197257765245 199525095880 224465732865 236709318294 244871708580 263010353660 269358879438 278647116660 289311389026 293846050296 299287643820 315612424392 355063977441 359145172584 367307562870 394515530490 404038319157 433967083539 448931465730 473418636588 489743417160 526020707320 538717758876 557294233320 578622778052 591773295735 598575287640 673397198595 710127954882 723278472565 734615125740 789031060980 808076638314 867934167078 897862931460 946837273176 1065191932323 1077435517752 1157245556104 1183546591470 1301901250617 1346794397190 1420255909764 1446556945130 1469230251480 1578062121960 1616153276628 1735868334156 1775319887205 1795725862920 2020191595785 2130383864646 2169835417695 2367093182940 2603802501234 2693588794380 2840511819528 2893113890260 3232306553256 3471736668312 3550639774410 3905703751851 4040383191570 4260767729292 4339670835390 4734186365880 5207605002468 5325959661615 5387177588760 5786227780520 6509506253085 7101279548820 7811407503702 8080766383140 8521535458584 8679341670780 10415210004936 10651919323230 11717111255553 13019012506170 14202559097640 15622815007404 16161532766280 17358683341560 19528518759255 21303838646460 23434222511106 26038025012340 31245630014808 39057037518510 42607677292920 46868445022212 52076050024680 58585556277765 78114075037020 93736890044424 117171112555530 156228150074040 234342225111060 468684450222120
- Sum of all divisors σ(n): 1779812130301920
- Sum of proper divisors (its aliquot sum) s(n): 1311127680079800
- 468684450222120 is an abundant number, because the sum of its proper divisors (1311127680079800) is greater than itself. Its abundance is 842443229857680
Bases of 468684450222120
- Binary: 11010101001000100000110100010101011010000001010002
- Hexadecimal: 0x1AA441A2AD028
- Base-36: 4M4UNWL6I0
Squares and roots of 468684450222120
- 468684450222120 squared (4686844502221202) is 219665113880010880117337294400
- 468684450222120 cubed (4686844502221203) is 102953623131832280436838181982015039832128000
-
The
square root of 468684450222120 is 21649121.2344085691 -
The
cube root of 468684450222120 is 77677.1915307057
Scales and comparisons
How big is 468684450222120?- 468,684,450,222,120 seconds is equal to 14,902,715 years, 40 weeks, 4 days, 5 hours, 42 minutes.
-
To count from 1 to 468,684,450,222,120 would take you about thirty-seven million, two hundred fifty-six thousand, seven hundred eighty-nine 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 468684450222120 cubic inches would be around 6473.1 feet tall.
Recreational maths with 468684450222120
- 468684450222120 backwards is 021222054486864
- 468684450222120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 468684450222120's digits is 54
- More coming soon!
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