85368716400
85,368,716,400 is an even composite number composed of seven prime numbers multiplied together.
85368716400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 85368716400:
24 × 3 × 52 × 11 × 17 × 557 × 683
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 17 × 557 × 683)See below for interesting mathematical facts about the number 85368716400 from the Numbermatics database.
Names of 85368716400
- Cardinal: 85368716400 can be written as Eighty-five billion, three hundred sixty-eight million, seven hundred sixteen thousand, four hundred.
Scientific notation
- Scientific notation: 8.53687164 × 1010
Factors of 85368716400
Divisors of 85368716400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 33 34 40 44 48 50 51 55 60 66 68 75 80 85 88 100 102 110 120 132 136 150 165 170 176 187 200 204 220 240 255 264 272 275 300 330 340 374 400 408 425 440 510 528 550 557 561 600 660 680 683 748 816 825 850 880 935 1020 1100 1114 1122 1200 1275 1320 1360 1366 1496 1650 1671 1700 1870 2040 2049 2200 2228 2244 2550 2640 2732 2785 2805 2992 3300 3342 3400 3415 3740 4080 4098 4400 4456 4488 4675 5100 5464 5570 5610 6127 6600 6684 6800 6830 7480 7513 8196 8355 8912 8976 9350 9469 10200 10245 10928 11140 11220 11611 12254 13200 13368 13660 13925 14025 14960 15026 16392 16710 17075 18381 18700 18938 20400 20490 22280 22440 22539 23222 24508 26736 27320 27850 28050 28407 30052 30635 32784 33420 34150 34833 36762 37400 37565 37876 40980 41775 44560 44880 45078 46444 47345 49016 51225 54640 55700 56100 56814 58055 60104 61270 66840 68300 69666 73524 74800 75130 75752 81960 83550 90156 91905 92888 94690 98032 102450 104159 111400 112200 112695 113628 116110 120208 122540 127721 133680 136600 139332 142035 147048 150260 151504 153175 163920 167100 174165 180312 183810 185776 187825 189380 204900 208318 222800 224400 225390 227256 232220 236725 245080 255442 273200 278664 284070 290275 294096 300520 306350 312477 334200 348330 360624 367620 375650 378760 380431 383163 409800 416636 450780 454512 459525 464440 473450 490160 510884 520795 557328 563475 568140 580550 601040 612700 624954 638605 668400 696660 710175 735240 751300 757520 760862 766326 819600 833272 870825 901560 919050 928880 946900 1021768 1041590 1126950 1136280 1141293 1161100 1225400 1249908 1277210 1393320 1420350 1470480 1502600 1521724 1532652 1562385 1666544 1741650 1803120 1838100 1893800 1902155 1915815 2043536 2083180 2253900 2272560 2282586 2322200 2450800 2499816 2554420 2603975 2786640 2840700 3005200 3043448 3065304 3124770 3193025 3483300 3676200 3787600 3804310 3831630 4166360 4184741 4507800 4565172 4644400 4999632 5108840 5207950 5681400 5706465 6086896 6130608 6249540 6386050 6467327 6966600 7352400 7608620 7663260 7811925 8332720 8369482 9015600 9130344 9510775 9579075 10217680 10415900 11362800 11412930 12499080 12554223 12772100 12934654 13933200 15217240 15326520 15623850 16738964 18260688 19021550 19158150 19401981 20831800 20923705 22825860 24998160 25108446 25544200 25869308 28532325 30434480 30653040 31247700 32336635 33477928 38043100 38316300 38803962 41663600 41847410 45651720 50216892 51088400 51738616 57064650 62495400 62771115 64673270 66955856 71140597 76086200 76632600 77607924 83694820 91303440 97009905 100433784 103477232 104618525 114129300 124990800 125542230 129346540 142281194 152172400 153265200 155215848 161683175 167389640 194019810 200867568 209237050 213421791 228258600 251084460 258693080 284562388 310431696 313855575 323366350 334779280 355702985 388039620 418474100 426843582 456517200 485049525 502168920 517386160 569124776 627711150 646732700 711405970 776079240 836948200 853687164 970099050 1004337840 1067108955 1138249552 1255422300 1293465400 1422811940 1552158480 1673896400 1707374328 1778514925 1940198100 2134217910 2510844600 2586930800 2845623880 3414748656 3557029850 3880396200 4268435820 5021689200 5335544775 5691247760 7114059700 7760792400 8536871640 10671089550 14228119400 17073743280 21342179100 28456238800 42684358200 85368716400
- Sum of all divisors σ(n): 316903788288
- Sum of proper divisors (its aliquot sum) s(n): 231535071888
- 85368716400 is an abundant number, because the sum of its proper divisors (231535071888) is greater than itself. Its abundance is 146166355488
Bases of 85368716400
- Binary: 10011111000000101111100111100011100002
- Hexadecimal: 0x13E05F3C70
- Base-36: 137UBV5C
Squares and roots of 85368716400
- 85368716400 squared (853687164002) is 7287817739783628960000
- 85368716400 cubed (853687164003) is 622151645802477618049066944000000
-
The
square root of 85368716400 is 292179.2538836391 -
The
cube root of 85368716400 is 4403.1780827329
Scales and comparisons
How big is 85368716400?- 85,368,716,400 seconds is equal to 2,714 years, 23 weeks, 6 days, 20 hours, 20 minutes.
-
To count from 1 to 85,368,716,400 would take you about five thousand, four hundred twenty-eight 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 85368716400 cubic inches would be around 366.9 feet tall.
Recreational maths with 85368716400
- 85368716400 backwards is 00461786358
- 85368716400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 85368716400's digits is 48
- More coming soon!
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