164103350400
164,103,350,400 is an even composite number composed of six prime numbers multiplied together.
164103350400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 164103350400:
27 × 32 × 52 × 11 × 792 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 79 × 79 × 83)See below for interesting mathematical facts about the number 164103350400 from the Numbermatics database.
Names of 164103350400
- Cardinal: 164103350400 can be written as One hundred sixty-four billion, one hundred three million, three hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.641033504 × 1011
Factors of 164103350400
Divisors of 164103350400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 79 80 83 88 90 96 99 100 110 120 128 132 144 150 158 160 165 166 176 180 192 198 200 220 225 237 240 249 264 275 288 300 316 320 330 332 352 360 384 395 396 400 415 440 450 474 480 495 498 528 550 576 600 632 640 660 664 704 711 720 747 790 792 800 825 830 869 880 900 913 948 960 990 996 1056 1100 1152 1185 1200 1245 1264 1320 1328 1408 1422 1440 1494 1580 1584 1600 1650 1660 1738 1760 1800 1826 1896 1920 1975 1980 1992 2075 2112 2200 2370 2400 2475 2490 2528 2607 2640 2656 2739 2844 2880 2988 3160 3168 3200 3300 3320 3476 3520 3555 3600 3652 3735 3792 3950 3960 3984 4150 4224 4345 4400 4565 4740 4800 4950 4980 5056 5214 5280 5312 5478 5688 5760 5925 5976 6225 6241 6320 6336 6557 6600 6640 6952 7040 7110 7200 7304 7470 7584 7821 7900 7920 7968 8217 8300 8690 8800 9130 9480 9600 9900 9960 10112 10428 10560 10624 10956 11376 11850 11952 12450 12482 12640 12672 13035 13114 13200 13280 13695 13904 14220 14400 14608 14940 15168 15642 15800 15840 15936 16434 16600 17380 17600 17775 18260 18675 18723 18960 19671 19800 19920 20856 21120 21725 21912 22752 22825 23700 23904 24900 24964 25280 26070 26228 26400 26560 27390 27808 28440 28800 29216 29880 30336 31205 31284 31600 31680 31872 32785 32868 33200 34760 35200 35550 36520 37350 37446 37920 39105 39342 39600 39840 41085 41712 43450 43824 45504 45650 47400 47808 49800 49928 50560 52140 52456 52800 53120 54780 55616 56169 56880 58432 59013 59760 62410 62568 63200 63360 65175 65570 65736 66400 68475 68651 69520 71100 72127 73040 74700 74892 75840 78210 78684 79200 79680 82170 83424 86900 87648 91008 91300 93615 94800 95616 98355 99600 99856 104280 104912 105600 109560 111232 112338 113760 116864 118026 119520 124820 125136 126400 130350 131140 131472 132800 136950 137302 139040 142200 144254 146080 149400 149784 151680 156025 156420 157368 158400 159360 163925 164340 166848 173800 175296 182600 187230 189600 195525 196710 199200 199712 205425 205953 208560 209824 216381 219120 224676 227520 236052 239040 249640 250272 252800 260700 262280 262944 265600 273900 274604 278080 280845 284400 288508 292160 295065 298800 299568 312050 312840 314736 316800 327850 328680 333696 343255 347600 350592 360635 365200 374460 379200 391050 393420 398400 399424 410850 411906 417120 419648 432762 438240 449352 455040 468075 472104 478080 491775 499280 500544 518003 521400 524560 525888 547800 549208 556160 561690 568800 577016 584320 590130 597600 599136 617859 624100 625680 629472 649143 655700 657360 686510 695200 721270 730400 748920 758400 782100 786840 796800 798848 821700 823812 834240 839296 865524 876480 898704 936150 944208 983550 998560 1001088 1029765 1036006 1042800 1049120 1051776 1081905 1095600 1098416 1123380 1137600 1154032 1180260 1195200 1198272 1235718 1248200 1251360 1258944 1298286 1311400 1314720 1373020 1390400 1404225 1442540 1460800 1475325 1497840 1554009 1564200 1573680 1643400 1647624 1668480 1716275 1731048 1752960 1797408 1803175 1872300 1888416 1967100 1997120 2059530 2072012 2085600 2098240 2163810 2191200 2196832 2246760 2275200 2308064 2360520 2390400 2396544 2471436 2496400 2502720 2517888 2590015 2596572 2622800 2629440 2746040 2780800 2808450 2885080 2921600 2950650 2995680 3089295 3108018 3128400 3147360 3245715 3286800 3295248 3432550 3462096 3594816 3606350 3744600 3776832 3934200 3994240 4119060 4144024 4171200 4196480 4327620 4382400 4393664 4493520 4616128 4662027 4721040 4942872 4992800 5005440 5148825 5180030 5193144 5245600 5258880 5409525 5492080 5616900 5698033 5770160 5901300 5991360 6178590 6216036 6256800 6294720 6491430 6573600 6590496 6865100 6924192 7189632 7212700 7489200 7553664 7770045 7868400 8238120 8288048 8342400 8655240 8764800 8787328 8987040 9232256 9324054 9442080 9885744 9985600 10297650 10360060 10386288 10491200 10819050 10984160 11233800 11396066 11540320 11802600 11982720 12357180 12432072 12513600 12589440 12950075 12982860 13147200 13180992 13730200 13848384 14425400 14978400 15446475 15540090 15736800 16228575 16476240 16576096 17094099 17310480 17974080 18648108 18884160 19771488 19971200 20595300 20720120 20772576 20982400 21638100 21968320 22467600 22792132 23080640 23310135 23605200 24714360 24864144 25027200 25900150 25965720 26294400 26361984 27460400 27696768 28490165 28850800 29956800 30892950 31080180 31473600 32457150 32952480 33152192 34188198 34620960 35948160 37296216 37768320 38850225 39542976 41190600 41440240 41545152 43276200 43936640 44935200 45584264 46161280 46620270 47210400 49428720 49728288 51282297 51800300 51931440 54920800 56980330 57701600 59913600 61785900 62160360 62947200 64914300 65904960 66304384 68376396 69241920 74592432 77700450 79085952 82381200 82880480 83090304 85470495 86552400 89870400 91168528 93240540 94420800 98857440 99456576 102564594 103600600 103862880 109841600 113960660 115403200 116550675 123571800 124320720 129828600 131809920 136752792 138483840 142450825 149184864 155400900 164762400 165760960 170940990 173104800 179740800 182337056 186481080 188841600 197714880 198913152 205129188 207201200 207725760 219683200 227921320 230806400 233101350 247143600 248641440 256411485 259657200 273505584 284901650 298369728 310801800 329524800 331521920 341881980 346209600 364674112 372962160 395429760 410258376 414402400 415451520 427352475 455842640 466202700 494287200 497282880 512822970 519314400 547011168 569803300 596739456 621603600 659049600 683763960 692419200 729348224 745924320 820516752 828804800 854704950 911685280 932405400 988574400 994565760 1025645940 1038628800 1094022336 1139606600 1243207200 1282057425 1367527920 1491848640 1641033504 1657609600 1709409900 1823370560 1864810800 1977148800 2051291880 2077257600 2188044672 2279213200 2486414400 2564114850 2735055840 2983697280 3282067008 3418819800 3646741120 3729621600 4102583760 4558426400 4972828800 5128229700 5470111680 6564134016 6837639600 7459243200 8205167520 9116852800 10256459400 10940223360 13675279200 14918486400 16410335040 18233705600 20512918800 27350558400 32820670080 41025837600 54701116800 82051675200 164103350400
- Sum of all divisors σ(n): 654774185520
- Sum of proper divisors (its aliquot sum) s(n): 490670835120
- 164103350400 is an abundant number, because the sum of its proper divisors (490670835120) is greater than itself. Its abundance is 326567484720
Bases of 164103350400
- Binary: 100110001101010101001001101000100000002
- Hexadecimal: 0x2635526880
- Base-36: 23DYWBK0
Squares and roots of 164103350400
- 164103350400 squared (1641033504002) is 26929909612505180160000
- 164103350400 cubed (1641033504003) is 4419288393381265801611608064000000
-
The
square root of 164103350400 is 405096.7173404399 -
The
cube root of 164103350400 is 5474.8532493349
Scales and comparisons
How big is 164103350400?- 164,103,350,400 seconds is equal to 5,217 years, 50 weeks, 6 days, 8 hours.
-
To count from 1 to 164,103,350,400 would take you about ten thousand, four hundred thirty-five 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 164103350400 cubic inches would be around 456.2 feet tall.
Recreational maths with 164103350400
- 164103350400 backwards is 004053301461
- The number of decimal digits it has is: 12
- The sum of 164103350400's digits is 27
- More coming soon!
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