385408966348800

Names of 385408966348800

• Cardinal: 385408966348800 can be written as Three hundred eighty-five trillion, four hundred eight billion, nine hundred sixty-six million, three hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 3.854089663488 × 10¹⁴

Factors of 385408966348800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 63

Divisors of 385408966348800

• Number of divisors d(n): 702
• 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 53 60 64 72 75 80 90 96 100 106 120 128 144 150 159 160 180 192 200 212 225 240 256 265 288 300 318 320 360 384 400 424 450 477 480 512 530 576 600 636 640 720 768 795 800 848 900 954 960 1024 1060 1152 1200 1272 1280 1325 1440 1536 1590 1600 1696 1800 1908 1920 2048 2120 2304 2385 2400 2544 2560 2650 2809 2880 3072 3180 3200 3392 3600 3816 3840 3975 4096 4240 4608 4770 4800 5088 5120 5300 5618 5760 6144 6360 6400 6784 7200 7632 7680 7950 8427 8480 9216 9540 9600 10176 10240 10600 11236 11520 11925 12288 12720 12800 13568 14045 14400 15264 15360 15900 16854 16960 18432 19080 19200 20352 20480 21200 22472 23040 23850 25281 25440 25600 27136 28090 28800 30528 30720 31800 33708 33920 36864 38160 38400 40704 42135 42400 44944 46080 47700 50562 50880 51200 54272 56180 57600 61056 61440 63600 67416 67840 70225 76320 76800 81408 84270 84800 89888 92160 95400 101124 101760 102400 108544 112360 115200 122112 126405 127200 134832 135680 140450 148877 152640 153600 162816 168540 169600 179776 184320 190800 202248 203520 210675 217088 224720 230400 244224 252810 254400 269664 271360 280900 297754 305280 307200 325632 337080 339200 359552 381600 404496 407040 421350 446631 449440 460800 488448 505620 508800 539328 542720 561800 595508 610560 632025 651264 674160 678400 719104 744385 763200 808992 814080 842700 893262 898880 921600 976896 1011240 1017600 1078656 1085440 1123600 1191016 1221120 1264050 1339893 1348320 1356800 1438208 1488770 1526400 1617984 1628160 1685400 1786524 1797760 1953792 2022480 2035200 2157312 2233155 2247200 2382032 2442240 2528100 2679786 2696640 2713600 2876416 2977540 3052800 3235968 3256320 3370800 3573048 3595520 3721925 4044960 4070400 4314624 4466310 4494400 4764064 4884480 5056200 5359572 5393280 5427200 5752832 5955080 6105600 6471936 6699465 6741600 7146096 7191040 7443850 7890481 8089920 8140800 8629248 8932620 8988800 9528128 9768960 10112400 10719144 10786560 11165775 11505664 11910160 12211200 12943872 13398930 13483200 14292192 14382080 14887700 15780962 16179840 16281600 17258496 17865240 17977600 19056256 20224800 21438288 21573120 22331550 23671443 23820320 24422400 25887744 26797860 26966400 28584384 28764160 29775400 31561924 32359680 33497325 34516992 35730480 35955200 38112512 39452405 40449600 42876576 43146240 44663100 47342886 47640640 48844800 51775488 53595720 53932800 57168768 57528320 59550800 63123848 64719360 66994650 71014329 71460960 71910400 76225024 78904810 80899200 85753152 86292480 89326200 94685772 95281280 103550976 107191440 107865600 114337536 118357215 119101600 126247696 129438720 133989300 142028658 142921920 143820800 152450048 157809620 161798400 171506304 172584960 178652400 189371544 190562560 197262025 214382880 215731200 228675072 236714430 238203200 252495392 258877440 267978600 284057316 285843840 287641600 304900096 315619240 323596800 343012608 355071645 357304800 378743088 381125120 394524050 418195493 428765760 431462400 457350144 473428860 476406400 504990784 517754880 535957200 568114632 571687680 591786075 609800192 631238480 647193600 686025216 710143290 714609600 757486176 762250240 789048100 836390986 857531520 862924800 914700288 946857720 952812800 1009981568 1071914400 1136229264 1143375360 1183572150 1254586479 1262476960 1294387200 1372050432 1420286580 1429219200 1514972352 1524500480 1578096200 1672781972 1715063040 1775358225 1829400576 1893715440 1905625600 2019963136 2090977465 2143828800 2272458528 2286750720 2367144300 2509172958 2524953920 2588774400 2744100864 2840573160 2858438400 3029944704 3049000960 3156192400 3345563944 3430126080 3550716450 3763759437 3787430880 3811251200 4039926272 4181954930 4287657600 4544917056 4573501440 4734288600 5018345916 5049907840 5488201728 5681146320 5716876800 6059889408 6272932395 6312384800 6691127888 6860252160 7101432900 7527518874 7574861760 7622502400 8079852544 8363909860 8575315200 9089834112 9147002880 9468577200 10036691832 10099815680 10454887325 11362292640 11433753600 12119778816 12545864790 12624769600 13382255776 13720504320 14202865800 15055037748 15149723520 15245004800 16159705088 16727819720 17150630400 18179668224 18818797185 18937154400 20073383664 20199631360 20909774650 22724585280 22867507200 24239557632 25091729580 25249539200 26764511552 27441008640 28405731600 30110075496 30299447040 31364661975 32319410176 33455639440 34301260800 36359336448 37637594370 37874308800 40146767328 40399262720 41819549300 45449170560 45735014400 48479115264 50183459160 50499078400 53529023104 56811463200 60220150992 60598894080 62729323950 66911278880 68602521600 72718672896 75275188740 75748617600 80293534656 80798525440 83639098600 90898341120 94093985925 96958230528 100366918320 100998156800 107058046208 113622926400 120440301984 121197788160 125458647900 133822557760 137205043200 145437345792 150550377480 151497235200 160587069312 161597050880 167278197200 181796682240 188187971850 200733836640 201996313600 214116092416 227245852800 240880603968 242395576320 250917295800 267645115520 290874691584 301100754960 302994470400 321174138624 334556394400 363593364480 376375943700 401467673280 403992627200 428232184832 454491705600 481761207936 484791152640 501834591600 535290231040 602201509920 605988940800 642348277248 669112788800 727186728960 752751887400 802935346560 807985254400 856464369664 908983411200 963522415872 1003669183200 1070580462080 1204403019840 1211977881600 1284696554496 1338225577600 1454373457920 1505503774800 1605870693120 1712928739328 1817966822400 1927044831744 2007338366400 2141160924160 2408806039680 2423955763200 2569393108992 2676451155200 3011007549600 3211741386240 3635933644800 3854089663488 4014676732800 4282321848320 4817612079360 5138786217984 5352902310400 6022015099200 6423482772480 7271867289600 7708179326976 8029353465600 8564643696640 9635224158720 10705804620800 12044030198400 12846965544960 15416358653952 16058706931200 19270448317440 21411609241600 24088060396800 25693931089920 32117413862400 38540896634880 42823218483200 48176120793600 64234827724800 77081793269760 96352241587200 128469655449600 192704483174400 385408966348800
• Sum of all divisors σ(n): 1406999185495722
• Sum of proper divisors (its aliquot sum) s(n): 1021590219146922
• 385408966348800 is an abundant number, because the sum of its proper divisors (1021590219146922) is greater than itself. Its abundance is 636181252798122

Bases of 385408966348800

• Binary: 1010111101000011100000100100010000101000000000000₂
• Hexadecimal: 0x15E8704885000
• Base-36: 3SM6FNLKW0

Squares and roots of 385408966348800

• 385408966348800 squared (385408966348800²) is 148540071342050450803261440000
• 385408966348800 cubed (385408966348800³) is 57248675357316673448026058258248630272000000
• The square root of 385408966348800 is 19631835.5318294169
• The cube root of 385408966348800 is 72773.6131847445

Scales and comparisons

• 385,408,966,348,800 seconds is equal to 12,254,812 years, 51 weeks, 8 hours.
• To count from 1 to 385,408,966,348,800 would take you about thirty million, six hundred thirty-seven thousand and thirty-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 385408966348800 cubic inches would be around 6064.5 feet tall.

Recreational maths with 385408966348800

• 385408966348800 backwards is 008843669804583
• 385408966348800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 385408966348800's digits is 72
• More coming soon!