85313421057600
85,313,421,057,600 is an even composite number composed of seven prime numbers multiplied together.
85313421057600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 85313421057600:
26 × 32 × 52 × 17 × 257 × 421 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 257 × 421 × 3221)See below for interesting mathematical facts about the number 85313421057600 from the Numbermatics database.
Names of 85313421057600
- Cardinal: 85313421057600 can be written as Eighty-five trillion, three hundred thirteen billion, four hundred twenty-one million, fifty-seven thousand, six hundred.
Scientific notation
- Scientific notation: 8.53134210576 × 1013
Factors of 85313421057600
Divisors of 85313421057600
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 136 144 150 153 160 170 180 192 200 204 225 240 255 257 272 288 300 306 320 340 360 400 408 421 425 450 480 510 514 544 576 600 612 680 720 765 771 800 816 842 850 900 960 1020 1028 1088 1200 1224 1263 1275 1285 1360 1440 1530 1542 1600 1632 1684 1700 1800 2040 2056 2105 2313 2400 2448 2526 2550 2570 2720 2880 3060 3084 3221 3264 3368 3400 3600 3789 3825 3855 4080 4112 4210 4369 4626 4800 4896 5052 5100 5140 5440 6120 6168 6315 6425 6442 6736 6800 7157 7200 7578 7650 7710 8160 8224 8420 8738 9252 9663 9792 10104 10200 10280 10525 11565 12240 12336 12630 12850 12884 13107 13472 13600 14314 14400 15156 15300 15420 16105 16320 16448 16840 17476 18504 18945 19275 19326 20208 20400 20560 21050 21471 21845 23130 24480 24672 25260 25700 25768 26214 26944 27200 28628 28989 30312 30600 30840 31575 32210 33680 34952 35785 37008 37890 38550 38652 39321 40416 40800 41120 42100 42942 43690 46260 48315 48960 49344 50520 51400 51536 52428 54757 57256 57825 57978 60624 61200 61680 63150 64413 64420 65535 67360 69904 71570 74016 75780 77100 77304 78642 80525 80832 81600 82240 84200 85884 87380 92520 94725 96630 101040 102800 103072 104856 107355 108197 109225 109514 114512 115650 115956 121248 122400 123360 126300 128826 128840 131070 134720 139808 143140 144945 148032 151560 154200 154608 157284 161050 164271 168400 171768 174760 178925 185040 189450 193260 196605 202080 205600 206144 209712 214710 216394 218450 219028 229024 231300 231912 241575 242496 244800 246720 252600 257652 257680 262140 273785 279616 286280 289890 303120 308400 309216 314568 322065 322100 324591 327675 328542 336800 343536 349520 357850 370080 378900 386520 393210 404160 411200 419424 429420 432788 436900 438056 458048 462600 463824 483150 492813 505200 515304 515360 524280 536775 540985 547570 572560 579780 606240 616800 618432 629136 644130 644200 649182 655350 657084 673600 687072 699040 715700 724725 740160 757800 773040 786420 821355 827797 838848 858840 865576 873800 876112 925200 927648 966300 973773 983025 985626 1010400 1030608 1030720 1048560 1073550 1081970 1095140 1145120 1159560 1212480 1233600 1258272 1288260 1288400 1298364 1310700 1314168 1356041 1368925 1374144 1398080 1431400 1449450 1515600 1546080 1572840 1610325 1622955 1642710 1655594 1717680 1731152 1747600 1752224 1839349 1850400 1855296 1932600 1947546 1966050 1971252 2020800 2061216 2097120 2147100 2163940 2190280 2290240 2319120 2464065 2483391 2516544 2576520 2576800 2596728 2621400 2628336 2704925 2712082 2737850 2862800 2898900 3031200 3092160 3145680 3220650 3245910 3285420 3311188 3435360 3462304 3495200 3504448 3678698 3700800 3865200 3895092 3932100 3942504 4068123 4106775 4122432 4138985 4194240 4294200 4327880 4380560 4638240 4868865 4928130 4966782 5153040 5153600 5193456 5242800 5256672 5409850 5424164 5475700 5518047 5725600 5797800 6062400 6291360 6441300 6491820 6570840 6622376 6780205 6870720 6924608 6990400 7357396 7450173 7730400 7790184 7864200 7885008 8114775 8136246 8213550 8277970 8588400 8655760 8761120 9196745 9276480 9737730 9856260 9933564 10306080 10386912 10485600 10513344 10819700 10848328 10951400 11036094 11451200 11595600 12204369 12320325 12416955 12582720 12882600 12983640 13141680 13244752 13560410 14072549 14714792 14900346 15460800 15580368 15728400 15770016 16229550 16272492 16427100 16554141 16555940 17176800 17311520 17522240 18393490 19475460 19712520 19867128 20340615 20612160 20694925 20773824 20971200 21639400 21696656 21902800 22072188 23052697 23191200 24344325 24408738 24640650 24833910 25765200 25967280 26283360 26489504 27120820 27590235 28145098 29429584 29800692 31160736 31456800 31540032 32459100 32544984 32854200 33108282 33111880 33901025 34353600 34623040 36786980 37250865 38950920 39425040 39734256 40681230 41389850 42217647 43278800 43393312 43805600 44144376 45983725 46105394 46382400 48688650 48817476 49281300 49667820 51530400 51934560 52566720 52979008 54241640 55180470 56290196 58859168 59601384 61021845 62084775 62321472 62913600 64918200 65089968 65708400 66216564 66223760 67802050 69158091 70362745 73573960 74501730 77901840 78850080 79468512 81362460 82770705 82779700 84435294 86557600 86786624 87611200 88288752 91967450 92210788 97377300 97634952 98562600 99335640 101703075 103060800 103869120 108483280 110360940 112580392 115263485 117718336 119202768 122043690 124169550 126652941 129836400 130179936 131416800 132433128 132447520 135604100 137951175 138316182 140725490 147147920 149003460 155803680 157700160 158937024 162724920 165541410 165559400 168870588 173115200 176577504 183934900 184421576 186254325 194754600 195269904 197125200 198671280 203406150 207474273 211088235 216966560 220721880 225160784 230526970 238405536 244087380 248339100 253305882 259672800 260359872 262833600 264866256 264895040 271208200 275902350 276632364 281450980 294295840 298006920 305109225 311607360 325449840 331082820 331118800 337741176 345790455 348502537 351813725 353155008 367869800 368843152 372508650 389509200 390539808 394250400 397342560 406812300 413853525 414948546 422176470 433933120 441443760 450321568 461053940 476811072 488174760 496678200 506611764 519345600 529732512 542416400 551804700 553264728 562901960 576317425 588591680 596013840 610218450 633264705 650899680 662165640 662237600 675482352 691580910 697005074 703627450 735739600 737686304 745017300 779018400 781079616 788500800 794685120 813624600 827707050 829897092 844352940 882887520 900643136 922107880 976349520 993356400 1013223528 1037371365 1045507611 1055441175 1059465024 1084832800 1103609400 1106529456 1125803920 1152634850 1192027680 1220436900 1266529410 1301799360 1324331280 1324475200 1350964704 1383161820 1394010148 1407254900 1471479200 1475372608 1490034600 1558036800 1627249200 1655414100 1659794184 1688705880 1728952275 1742512685 1765775040 1844215760 1952699040 1986712800 2026447056 2074742730 2091015222 2110882350 2169665600 2207218800 2213058912 2251607840 2305269700 2384055360 2440873800 2533058820 2648662560 2701929408 2766323640 2788020296 2814509800 2942958400 2980069200 3136522833 3166323525 3254498400 3310828200 3319588368 3377411760 3457904550 3485025370 3688431520 3905398080 3973425600 4052894112 4149485460 4182030444 4221764700 4414437600 4426117824 4503215680 4610539400 4881747600 5066117640 5186856825 5227538055 5297325120 5532647280 5576040592 5629019600 5924543129 5960138400 6273045666 6332647050 6508996800 6621656400 6639176736 6754823520 6915809100 6970050740 7376863040 8105788224 8298970920 8364060888 8443529400 8712563425 8828875200 9221078800 9763495200 10132235280 10373713650 10455076110 11065294560 11152081184 11258039200 11849086258 11920276800 12546091332 12665294100 13243312800 13278353472 13509647040 13831618200 13940101480 15682614165 16597941840 16728121776 16887058800 17425126850 17773629387 18442157600 19526990400 20264470560 20747427300 20910152220 22130589120 22304162368 22516078400 23698172516 25092182664 25330588200 26137690275 26486625600 27663236400 27880202960 29622715645 31365228330 33195883680 33456243552 33774117600 34850253700 35547258774 36884315200 40528941120 41494854600 41820304440 47396345032 50184365328 50661176400 52275380550 53320888161 55326472800 55760405920 59245431290 62730456660 66391767360 66912487104 67548235200 69700507400 71094517548 78413070825 82989709200 83640608880 88868146935 94792690064 100368730656 101322352800 104550761100 106641776322 110652945600 111520811840 118490862580 125460913320 139401014800 142189035096 148113578225 156826141650 165979418400 167281217760 177736293870 189585380128 200737461312 202644705600 209101522200 213283552644 236981725160 250921826640 266604440805 278802029600 284378070192 296227156450 313652283300 331958836800 334562435520 355472587740 379170760256 418203044400 426567105288 444340734675 473963450320 501843653280 533208881610 557604059200 568756140384 592454312900 627304566600 710945175480 836406088800 853134210576 888681469350 947926900640 1003687306560 1066417763220 1137512280768 1184908625800 1254609133200 1333022204025 1421890350960 1672812177600 1706268421152 1777362938700 1895853801280 2132835526440 2369817251600 2509218266400 2666044408050 2843780701920 3412536842304 3554725877400 4265671052880 4739634503200 5018436532800 5332088816100 5687561403840 7109451754800 8531342105760 9479269006400 10664177632200 14218903509600 17062684211520 21328355264400 28437807019200 42656710528800 85313421057600
- Sum of all divisors σ(n): 323175898717776
- Sum of proper divisors (its aliquot sum) s(n): 237862477660176
- 85313421057600 is an abundant number, because the sum of its proper divisors (237862477660176) is greater than itself. Its abundance is 152549056602576
Bases of 85313421057600
- Binary: 100110110010111100101000010100000011110010000002
- Hexadecimal: 0x4D9794281E40
- Base-36: U8OG064W0
Squares and roots of 85313421057600
- 85313421057600 squared (853134210576002) is 7278379812551347102517760000
- 85313421057600 cubed (853134210576003) is 620943481565328836677185411961982976000000
-
The
square root of 85313421057600 is 9236526.4606127773 -
The
cube root of 85313421057600 is 44022.2719643973
Scales and comparisons
How big is 85313421057600?- 85,313,421,057,600 seconds is equal to 2,712,702 years, 46 weeks, 4 days, 20 hours.
-
To count from 1 to 85,313,421,057,600 would take you about six million, seven hundred eighty-one thousand, seven hundred fifty-seven 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 85313421057600 cubic inches would be around 3668.5 feet tall.
Recreational maths with 85313421057600
- 85313421057600 backwards is 00675012431358
- 85313421057600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 85313421057600's digits is 45
- More coming soon!
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The information we have on file for 85313421057600 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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