10428314812416000
10,428,314,812,416,000 is an even composite number composed of five prime numbers multiplied together.
10428314812416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred eighty-eight divisors.
Prime factorization of 10428314812416000:
230 × 32 × 53 × 89 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 89 × 97)See below for interesting mathematical facts about the number 10428314812416000 from the Numbermatics database.
Names of 10428314812416000
- Cardinal: 10428314812416000 can be written as Ten quadrillion, four hundred twenty-eight trillion, three hundred fourteen billion, eight hundred twelve million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.0428314812416 × 1016
Factors of 10428314812416000
Divisors of 10428314812416000
- Number of divisors d(n): 1488
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 89 90 96 97 100 120 125 128 144 150 160 178 180 192 194 200 225 240 250 256 267 288 291 300 320 356 360 375 384 388 400 445 450 480 485 500 512 534 576 582 600 640 712 720 750 768 776 800 801 873 890 900 960 970 1000 1024 1068 1125 1152 1164 1200 1280 1335 1424 1440 1455 1500 1536 1552 1600 1602 1746 1780 1800 1920 1940 2000 2048 2136 2225 2250 2304 2328 2400 2425 2560 2670 2848 2880 2910 3000 3072 3104 3200 3204 3492 3560 3600 3840 3880 4000 4005 4096 4272 4365 4450 4500 4608 4656 4800 4850 5120 5340 5696 5760 5820 6000 6144 6208 6400 6408 6675 6984 7120 7200 7275 7680 7760 8000 8010 8192 8544 8633 8730 8900 9000 9216 9312 9600 9700 10240 10680 11125 11392 11520 11640 12000 12125 12288 12416 12800 12816 13350 13968 14240 14400 14550 15360 15520 16000 16020 16384 17088 17266 17460 17800 18000 18432 18624 19200 19400 20025 20480 21360 21825 22250 22784 23040 23280 24000 24250 24576 24832 25600 25632 25899 26700 27936 28480 28800 29100 30720 31040 32000 32040 32768 33375 34176 34532 34920 35600 36000 36375 36864 37248 38400 38800 40050 40960 42720 43165 43650 44500 45568 46080 46560 48000 48500 49152 49664 51200 51264 51798 53400 55872 56960 57600 58200 61440 62080 64000 64080 65536 66750 68352 69064 69840 71200 72000 72750 73728 74496 76800 77600 77697 80100 81920 85440 86330 87300 89000 91136 92160 93120 96000 97000 98304 99328 100125 102400 102528 103596 106800 109125 111744 113920 115200 116400 122880 124160 128000 128160 129495 131072 133500 136704 138128 139680 142400 144000 145500 147456 148992 153600 155200 155394 160200 163840 170880 172660 174600 178000 182272 184320 186240 192000 194000 196608 198656 200250 204800 205056 207192 213600 215825 218250 223488 227840 230400 232800 245760 248320 256000 256320 258990 262144 267000 273408 276256 279360 284800 288000 291000 294912 297984 307200 310400 310788 320400 327680 341760 345320 349200 356000 364544 368640 372480 384000 388000 388485 393216 397312 400500 409600 410112 414384 427200 431650 436500 446976 455680 460800 465600 491520 496640 512000 512640 517980 524288 534000 546816 552512 558720 569600 576000 582000 589824 595968 614400 620800 621576 640800 647475 655360 683520 690640 698400 712000 729088 737280 744960 768000 776000 776970 786432 794624 801000 819200 820224 828768 854400 863300 873000 893952 911360 921600 931200 983040 993280 1024000 1025280 1035960 1048576 1068000 1079125 1093632 1105024 1117440 1139200 1152000 1164000 1179648 1191936 1228800 1241600 1243152 1281600 1294950 1310720 1367040 1381280 1396800 1424000 1458176 1474560 1489920 1536000 1552000 1553940 1572864 1589248 1602000 1638400 1640448 1657536 1708800 1726600 1746000 1787904 1822720 1843200 1862400 1942425 1966080 1986560 2048000 2050560 2071920 2097152 2136000 2158250 2187264 2210048 2234880 2278400 2304000 2328000 2359296 2383872 2457600 2483200 2486304 2563200 2589900 2621440 2734080 2762560 2793600 2848000 2916352 2949120 2979840 3072000 3104000 3107880 3145728 3178496 3204000 3237375 3276800 3280896 3315072 3417600 3453200 3492000 3575808 3645440 3686400 3724800 3884850 3932160 3973120 4096000 4101120 4143840 4194304 4272000 4316500 4374528 4420096 4469760 4556800 4608000 4656000 4718592 4767744 4915200 4966400 4972608 5126400 5179800 5242880 5468160 5525120 5587200 5696000 5832704 5898240 5959680 6144000 6208000 6215760 6291456 6356992 6408000 6474750 6553600 6561792 6630144 6835200 6906400 6984000 7151616 7290880 7372800 7449600 7769700 7864320 7946240 8192000 8202240 8287680 8388608 8544000 8633000 8749056 8840192 8939520 9113600 9216000 9312000 9437184 9535488 9712125 9830400 9932800 9945216 10252800 10359600 10485760 10936320 11050240 11174400 11392000 11665408 11796480 11919360 12288000 12416000 12431520 12582912 12713984 12816000 12949500 13107200 13123584 13260288 13670400 13812800 13968000 14303232 14581760 14745600 14899200 15539400 15728640 15892480 16384000 16404480 16575360 16777216 17088000 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81471209472 83990937600 84865843200 89590333440 90523566080 91540684800 93323264000 95563022336 97643397120 100663296000 101711872000 101839011840 104152956928 104988672000 106082304000 107508400128 108628279296 111987916800 113154457600 114425856000 117172076544 119453777920 120795955200 122054246400 127298764800 130191196160 134217728000 134385500160 135785349120 139984896000 141443072000 143344533504 144837705728 146465095680 149317222400 150994944000 152567808000 156229435392 159123456000 162738995200 162942418944 167981875200 169731686400 179180666880 181047132160 183081369600 186646528000 195286794240 201326592000 203423744000 203678023680 209977344000 212164608000 215016800256 217256558592 223975833600 226308915200 228851712000 234344153088 238907555840 241591910400 244108492800 254597529600 260382392320 268771000320 271570698240 279969792000 282886144000 286689067008 289675411456 292930191360 298634444800 301989888000 305135616000 312458870784 318246912000 325477990400 325884837888 335963750400 339463372800 358361333760 362094264320 366162739200 373293056000 390573588480 402653184000 406847488000 407356047360 419954688000 424329216000 430033600512 434513117184 447951667200 452617830400 457703424000 468688306176 477815111680 488216985600 509195059200 520764784640 537542000640 543141396480 559939584000 565772288000 579350822912 585860382720 597268889600 603979776000 610271232000 636493824000 650955980800 651769675776 671927500800 678926745600 716722667520 724188528640 732325478400 746586112000 781147176960 813694976000 814712094720 839909376000 848658432000 860067201024 869026234368 895903334400 905235660800 915406848000 937376612352 976433971200 1018390118400 1075084001280 1086282792960 1119879168000 1131544576000 1158701645824 1171720765440 1194537779200 1207959552000 1220542464000 1272987648000 1301911961600 1303539351552 1343855001600 1357853491200 1433445335040 1448377057280 1464650956800 1493172224000 1562294353920 1627389952000 1629424189440 1679818752000 1697316864000 1738052468736 1791806668800 1810471321600 1830813696000 1952867942400 2036780236800 2150168002560 2172565585920 2239758336000 2263089152000 2317403291648 2343441530880 2389075558400 2441084928000 2545975296000 2603823923200 2607078703104 2687710003200 2715706982400 2896754114560 2929301913600 2986344448000 3254779904000 3258848378880 3359637504000 3394633728000 3476104937472 3583613337600 3620942643200 3661627392000 3905735884800 4073560473600 4300336005120 4345131171840 4479516672000 4526178304000 4634806583296 4686883061760 4882169856000 5091950592000 5214157406208 5375420006400 5431413964800 5793508229120 5858603827200 5972688896000 6509559808000 6517696757760 6719275008000 6789267456000 6952209874944 7167226675200 7241885286400 7323254784000 7811471769600 8147120947200 8690262343680 8959033344000 9052356608000 9269613166592 9764339712000 10183901184000 10428314812416 10750840012800 10862827929600 11587016458240 11717207654400 11945377792000 13019119616000 13035393515520 13438550016000 13578534912000 13904419749888 14483770572800 14646509568000 16294241894400 17380524687360 17918066688000 18104713216000 19528679424000 20367802368000 20856629624832 21501680025600 21725655859200 23174032916480 23434415308800 26070787031040 26877100032000 27157069824000 27808839499776 28967541145600 29293019136000 32588483788800 34761049374720 35836133376000 36209426432000 39057358848000 40735604736000 41713259249664 43451311718400 46348065832960 52141574062080 53754200064000 54314139648000 57935082291200 58586038272000 65176967577600 69522098749440 72418852864000 81471209472000 83426518499328 86902623436800 104283148124160 107508400128000 108628279296000 115870164582400 117172076544000 130353935155200 139044197498880 144837705728000 162942418944000 173805246873600 208566296248320 217256558592000 231740329164800 260707870310400 289675411456000 325884837888000 347610493747200 417132592496640 434513117184000 521415740620800 579350822912000 651769675776000 695220987494400 869026234368000 1042831481241600 1158701645824000 1303539351552000 1738052468736000 2085662962483200 2607078703104000 3476104937472000 5214157406208000 10428314812416000
- Sum of all divisors σ(n): 38411954094543120
- Sum of proper divisors (its aliquot sum) s(n): 27983639282127120
- 10428314812416000 is an abundant number, because the sum of its proper divisors (27983639282127120) is greater than itself. Its abundance is 17555324469711120
Bases of 10428314812416000
- Binary: 1001010000110001111111010000000000000000000000000000002
- Hexadecimal: 0x250C7F40000000
- Base-36: 2UOJ1OS7B40
Squares and roots of 10428314812416000
- 10428314812416000 squared (104283148124160002) is 108749749826854953267757056000000
- 10428314812416000 cubed (104283148124160003) is 1134076626965925840465690369661700407296000000000
-
The
square root of 10428314812416000 is 102119120.6993871447 -
The
cube root of 10428314812416000 is 218476.4906006697
Scales and comparisons
How big is 10428314812416000?- 10,428,314,812,416,000 seconds is equal to 331,588,154 years, 7 weeks, 1 day, 16 hours.
-
To count from 1 to 10,428,314,812,416,000 would take you about nine hundred ninety-four million, seven hundred sixty-four thousand, four hundred sixty-two 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 10428314812416000 cubic inches would be around 18206.4 feet tall.
Recreational maths with 10428314812416000
- 10428314812416000 backwards is 00061421841382401
- 10428314812416000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10428314812416000's digits is 45
- More coming soon!
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The information we have on file for 10428314812416000 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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