85372144960
85,372,144,960 is an even composite number composed of seven prime numbers multiplied together.
85372144960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 85372144960:
26 × 5 × 17 × 31 × 43 × 61 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 31 × 43 × 61 × 193)See below for interesting mathematical facts about the number 85372144960 from the Numbermatics database.
Names of 85372144960
- Cardinal: 85372144960 can be written as Eighty-five billion, three hundred seventy-two million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 8.537214496 × 1010
Factors of 85372144960
Divisors of 85372144960
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 31 32 34 40 43 61 62 64 68 80 85 86 122 124 136 155 160 170 172 193 215 244 248 272 305 310 320 340 344 386 430 488 496 527 544 610 620 680 688 731 772 860 965 976 992 1037 1054 1088 1220 1240 1333 1360 1376 1462 1544 1720 1891 1930 1952 1984 2074 2108 2440 2480 2623 2635 2666 2720 2752 2924 3088 3281 3440 3655 3782 3860 3904 4148 4216 4880 4960 5185 5246 5270 5332 5440 5848 5983 6176 6562 6665 6880 7310 7564 7720 8296 8299 8432 9455 9760 9920 10370 10492 10540 10664 11696 11773 11966 12352 13115 13124 13330 13760 14620 15128 15440 16405 16592 16598 16864 18910 19520 20740 20984 21080 21328 22661 23392 23546 23932 26230 26248 26660 29240 29915 30256 30880 32147 32810 33184 33196 33728 37820 41480 41495 41968 42160 42656 44591 45322 46784 47092 47864 52460 52496 53320 58480 58865 59830 60512 61760 64294 65620 66368 66392 75640 81313 82960 82990 83936 84320 85312 89182 90644 94184 95728 101711 104920 104992 106640 113305 116960 117730 119660 121024 128588 131240 132784 141083 151280 160735 162626 165920 165980 167872 168640 178364 181288 188368 191456 200141 203422 209840 209984 213280 222955 226610 233920 235460 239320 257176 257269 262480 265568 282166 302560 321470 325252 331840 331960 356728 362576 364963 376736 382912 400282 406565 406844 419680 426560 445910 453220 470920 478640 506239 508555 514352 514538 524960 531136 564332 605120 642940 650504 663920 705415 713456 725152 729926 753472 800564 813130 813688 839360 891820 906440 941840 957280 1000705 1012478 1017110 1028704 1029076 1049920 1128664 1285880 1286345 1301008 1327840 1382321 1410830 1426912 1450304 1459852 1601128 1626260 1627376 1783640 1812880 1824815 1883680 1914560 2001410 2024956 2034220 2057408 2058152 2257328 2531195 2571760 2572690 2602016 2655680 2764642 2821660 2853824 2919704 3202256 3252520 3254752 3567280 3625760 3649630 3767360 4002820 4049912 4068440 4116304 4373573 4514656 5062390 5143520 5145380 5204032 5529284 5643320 5839408 6204371 6404512 6505040 6509504 6911605 7134560 7251520 7299260 8005640 8099824 8136880 8232608 8606063 8747146 9029312 10124780 10287040 10290760 11058568 11286640 11678816 12408742 12809024 13010080 13823210 14269120 14598520 15693409 16011280 16199648 16273760 16465216 17212126 17494292 20249560 20581520 21867865 22117136 22573280 23357632 24817484 26020160 27646420 29197040 31021855 31386818 32022560 32399296 32547520 34424252 34988584 40499120 41163040 43030315 43735730 44234272 45146560 49634968 55292840 58394080 62043710 62773636 64045120 68848504 69977168 78467045 80998240 82326080 86060630 87471460 88468544 99269936 110585680 116788160 124087420 125547272 137697008 139954336 156934090 161996480 172121260 174942920 198539872 221171360 248174840 251094544 266787953 275394016 279908672 313868180 344242520 349885840 397079744 442342720 496349680 502189088 533575906 550788032 627736360 688485040 699771680 992699360 1004378176 1067151812 1255472720 1333939765 1376970080 1399543360 1985398720 2134303624 2510945440 2667879530 2753940160 4268607248 5021890880 5335759060 8537214496 10671518120 17074428992 21343036240 42686072480 85372144960
- Sum of all divisors σ(n): 232286275584
- Sum of proper divisors (its aliquot sum) s(n): 146914130624
- 85372144960 is an abundant number, because the sum of its proper divisors (146914130624) is greater than itself. Its abundance is 61541985664
Bases of 85372144960
- Binary: 10011111000001001001110001101010000002
- Hexadecimal: 0x13E0938D40
- Base-36: 137WDCN4
Squares and roots of 85372144960
- 85372144960 squared (853721449602) is 7288403135071253401600
- 85372144960 cubed (853721449603) is 622226608974221505330288295936000
-
The
square root of 85372144960 is 292185.1210448609 -
The
cube root of 85372144960 is 4403.2370284405
Scales and comparisons
How big is 85372144960?- 85,372,144,960 seconds is equal to 2,714 years, 29 weeks, 4 days, 12 hours, 42 minutes, 40 seconds.
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To count from 1 to 85,372,144,960 would take you about five thousand, four hundred twenty-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 85372144960 cubic inches would be around 366.9 feet tall.
Recreational maths with 85372144960
- 85372144960 backwards is 06944127358
- The number of decimal digits it has is: 11
- The sum of 85372144960's digits is 49
- More coming soon!
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