16428824146800
16,428,824,146,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 16428824146800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
16428824146800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 16428824146800:
24 × 33 × 52 × 135 × 17 × 241
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 17 × 241)See below for interesting mathematical facts about the number 16428824146800 from the Numbermatics database.
Names of 16428824146800
- Cardinal: 16428824146800 can be written as Sixteen trillion, four hundred twenty-eight billion, eight hundred twenty-four million, one hundred forty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.64288241468 × 1013
Factors of 16428824146800
Divisors of 16428824146800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 34 36 39 40 45 48 50 51 52 54 60 65 68 72 75 78 80 85 90 100 102 104 108 117 120 130 135 136 144 150 153 156 169 170 180 195 200 204 208 216 221 225 234 240 241 255 260 270 272 300 306 312 325 338 340 351 360 390 400 408 425 432 442 450 459 468 482 507 510 520 540 585 600 612 624 650 663 675 676 680 702 720 723 765 780 816 845 850 884 900 918 936 964 975 1014 1020 1040 1080 1105 1170 1200 1205 1224 1275 1300 1326 1350 1352 1360 1404 1446 1521 1530 1560 1690 1700 1755 1768 1800 1836 1872 1928 1950 1989 2028 2040 2160 2169 2197 2210 2295 2340 2410 2448 2535 2550 2600 2652 2700 2704 2808 2873 2892 2925 3042 3060 3120 3133 3315 3380 3400 3510 3536 3600 3615 3672 3825 3856 3900 3978 4056 4080 4097 4225 4338 4394 4420 4563 4590 4680 4820 5070 5100 5200 5304 5400 5525 5616 5746 5784 5850 5967 6025 6084 6120 6266 6507 6591 6630 6760 6800 7020 7230 7344 7605 7650 7800 7956 8112 8194 8450 8619 8676 8775 8788 8840 9126 9180 9360 9399 9640 9945 10140 10200 10608 10800 10845 10985 11050 11475 11492 11568 11700 11934 12050 12168 12240 12291 12532 12675 13014 13182 13260 13520 14040 14365 14460 15210 15300 15600 15665 15912 16388 16575 16900 17238 17352 17550 17576 17680 18075 18252 18360 18798 19280 19773 19890 20280 20400 20485 21690 21970 22100 22815 22950 22984 23400 23868 24100 24336 24582 25064 25350 25857 26028 26364 26520 28080 28197 28561 28730 28920 29835 30420 30600 31330 31824 32535 32776 32955 33150 33800 34476 34704 35100 35152 36150 36504 36720 36873 37349 37596 38025 39546 39780 40560 40729 40970 43095 43380 43940 44200 45630 45900 45968 46800 46995 47736 48200 49164 49725 50128 50700 51714 52056 52728 53040 53261 54225 54925 56394 57122 57460 57840 59319 59670 60840 61200 61455 62660 65070 65552 65910 66300 67600 68952 70200 71825 72300 73008 73746 74698 75192 76050 77571 78325 79092 79560 81458 81940 84591 85683 86190 86760 87880 88400 91260 91800 93990 95472 96400 98328 98865 99450 101400 102425 103428 104112 105456 106522 108450 109850 110619 112047 112788 114075 114244 114920 118638 119340 121680 122187 122910 125320 129285 130140 131820 132600 137904 140400 140985 142805 143650 144600 147492 149175 149396 150384 152100 155142 156650 158184 159120 159783 162675 162916 163880 164775 169182 171366 172380 173520 175760 182520 183600 184365 186745 187980 196656 197730 198900 202800 203645 204850 206856 213044 215475 216900 219700 221238 224094 225576 228150 228488 229840 234975 237276 238680 244374 245820 250640 257049 258570 260280 263640 265200 266305 281970 285610 287300 289200 294984 296595 298350 298792 304200 307275 310284 313300 316368 319566 325350 325832 327760 329550 336141 338364 342732 344760 365040 366561 368730 371293 373490 375960 387855 395460 397800 407290 409700 413712 422955 426088 428415 430950 433800 439400 442476 448188 451152 456300 456976 469950 474552 477360 479349 485537 488748 491640 494325 514098 517140 520560 527280 529477 532610 553095 560235 563940 571220 574600 589968 593190 596700 597584 608400 610935 614550 620568 626600 639132 646425 650700 651664 659100 672282 676728 685464 689520 692393 704925 714025 733122 737460 742586 746980 751920 771147 775710 790920 795600 798915 814580 819400 845910 852176 856830 861900 867600 878800 884952 896376 912600 921825 933725 939900 949104 958698 971074 977496 983280 988650 1008423 1018225 1028196 1034280 1058954 1065220 1099683 1106190 1113879 1120470 1127880 1142440 1149200 1186380 1193400 1221870 1229100 1241136 1253200 1278264 1285245 1292850 1301400 1318200 1331525 1344564 1353456 1370928 1384786 1409850 1428050 1438047 1456611 1466244 1474920 1482975 1485172 1493960 1542294 1551420 1581840 1588431 1597830 1629160 1638800 1680705 1691820 1713660 1723800 1769904 1792752 1825200 1832805 1843650 1856465 1867450 1879800 1917396 1939275 1942148 1954992 1977300 2016846 2036450 2056392 2068560 2077179 2114775 2117908 2130440 2142075 2199366 2212380 2227758 2240940 2255760 2284880 2372760 2386800 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9721197720 10531297530 10737793560 10801330800 11361565800 11701441700 12080017755 12151497150 12169499368 12389761800 12637557036 12885352272 13422241950 13633878960 13690686789 14041730040 14867714160 15211874210 15796946295 16106690340 16201996200 16850076048 17042348700 17552162550 17896322600 18254249052 18584642700 19328028408 19442395440 20133362925 21062595060 21475587120 22723131600 22817811315 23402883400 24160035510 24302994300 24338998736 24779523600 25275114072 26328243825 26844483900 27381373578 28083460080 30423748420 31593892590 32213380680 32403992400 34084697400 35104325100 35792645200 36508498104 37169285400 38029685525 38656056816 40266725850 41072060367 42125190120 45635622630 46805766800 48320071020 48605988600 50550228144 52656487650 53688967800 54762747156 60400088775 60847496840 63187785180 64426761360 68169394800 68453433945 70208650200 73016996208 74338570800 76059371050 78984731475 80533451700 82144120734 84250380240 91271245260 96640142040 97211977200 105312975300 107377935600 109525494312 114089056575 120800177550 121694993680 126375570360 136906867890 140417300400 152118742100 157969462950 161066903400 164288241468 182542490520 193280284080 205360301835 210625950600 219050988624 228178113150 241600355100 252751140720 273813735780 304237484200 315938925900 322133806800 328576482936 342267169725 365084981040 410720603670 421251901200 456356226300 483200710200 547627471560 608474968400 631877851800 657152965872 684534339450 821441207340 912712452600 966401420400 1026801509175 1095254943120 1263755703600 1369068678900 1642882414680 1825424905200 2053603018350 2738137357800 3285764829360 4107206036700 5476274715600 8214412073400 16428824146800
- Sum of all divisors σ(n): 67351927325760
- Sum of proper divisors (its aliquot sum) s(n): 50923103178960
- 16428824146800 is an abundant number, because the sum of its proper divisors (50923103178960) is greater than itself. Its abundance is 34494279032160
Bases of 16428824146800
- Binary: 111011110001001000100011101000110011011100002
- Hexadecimal: 0xEF1223A3370
- Base-36: 5TNAPPTO0
Squares and roots of 16428824146800
- 16428824146800 squared (164288241468002) is 269906262846478747950240000
- 16428824146800 cubed (164288241468003) is 4434242528424777755677933916855232000000
-
The
square root of 16428824146800 is 4053248.5917841259 -
The
cube root of 16428824146800 is 25421.5578169929
Scales and comparisons
How big is 16428824146800?- 16,428,824,146,800 seconds is equal to 522,385 years, 41 weeks, 15 hours.
-
To count from 1 to 16,428,824,146,800 would take you about one million, three hundred five thousand, nine 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 16428824146800 cubic inches would be around 2118.5 feet tall.
Recreational maths with 16428824146800
- 16428824146800 backwards is 00864142882461
- 16428824146800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 16428824146800's digits is 54
- More coming soon!
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The information we have on file for 16428824146800 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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