146364564669235200

Names of 146364564669235200

• Cardinal: 146364564669235200 can be written as One hundred forty-six quadrillion, three hundred sixty-four trillion, five hundred sixty-four billion, six hundred sixty-nine million, two hundred thirty-five thousand, two hundred.

Scientific notation

• Scientific notation: 1.463645646692352 × 10¹⁷

Factors of 146364564669235200

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 140907

Divisors of 146364564669235200

• Number of divisors d(n): 432
• 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 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 600 640 720 768 800 900 960 1024 1152 1200 1280 1440 1536 1600 1800 1920 2048 2304 2400 2560 2880 3072 3200 3600 3840 4096 4608 4800 5120 5760 6144 6400 7200 7680 8192 9216 9600 10240 11520 12288 12800 14400 15360 16384 18432 19200 20480 23040 24576 25600 28800 30720 32768 36864 38400 40960 46080 49152 51200 57600 61440 73728 76800 81920 92160 98304 102400 115200 122880 140897 147456 153600 163840 184320 204800 230400 245760 281794 294912 307200 368640 409600 422691 460800 491520 563588 614400 704485 737280 819200 845382 921600 1127176 1228800 1268073 1408970 1474560 1690764 1843200 2113455 2254352 2457600 2536146 2817940 3381528 3522425 3686400 4226910 4508704 5072292 5635880 6340365 6763056 7044850 7372800 8453820 9017408 10144584 10567275 11271760 12680730 13526112 14089700 16907640 18034816 20289168 21134550 22543520 25361460 27052224 28179400 31701825 33815280 36069632 40578336 42269100 45087040 50722920 54104448 56358800 63403650 67630560 72139264 81156672 84538200 90174080 101445840 108208896 112717600 126807300 135261120 144278528 162313344 169076400 180348160 202891680 216417792 225435200 253614600 270522240 288557056 324626688 338152800 360696320 405783360 432835584 450870400 507229200 541044480 577114112 649253376 676305600 721392640 811566720 865671168 901740800 1014458400 1082088960 1154228224 1298506752 1352611200 1442785280 1623133440 1731342336 1803481600 2028916800 2164177920 2308456448 2597013504 2705222400 2885570560 3246266880 3462684672 3606963200 4057833600 4328355840 4616912896 5194027008 5410444800 5771141120 6492533760 6925369344 7213926400 8115667200 8656711680 10388054016 10820889600 11542282240 12985067520 13850738688 14427852800 16231334400 17313423360 19851964609 20776108032 21641779200 23084564480 25970135040 28855705600 32462668800 34626846720 39703929218 41552216064 43283558400 51940270080 57711411200 59555893827 64925337600 69253693440 79407858436 86567116800 99259823045 103880540160 115422822400 119111787654 129850675200 158815716872 173134233600 178667681481 198519646090 207761080320 238223575308 259701350400 297779469135 317631433744 346268467200 357335362962 397039292180 476447150616 496299115225 519402700800 595558938270 635262867488 714670725924 794078584360 893338407405 952894301232 992598230450 1038805401600 1191117876540 1270525734976 1429341451848 1488897345675 1588157168720 1786676814810 1905788602464 1985196460900 2382235753080 2541051469952 2858682903696 2977794691350 3176314337440 3573353629620 3811577204928 3970392921800 4466692037025 4764471506160 5082102939904 5717365807392 5955589382700 6352628674880 7146707259240 7623154409856 7940785843600 8933384074050 9528943012320 10164205879808 11434731614784 11911178765400 12705257349760 14293414518480 15246308819712 15881571687200 17866768148100 19057886024640 20328411759616 22869463229568 23822357530800 25410514699520 28586829036960 30492617639424 31763143374400 35733536296200 38115772049280 40656823519232 45738926459136 47644715061600 50821029399040 57173658073920 60985235278848 63526286748800 71467072592400 76231544098560 81313647038464 91477852918272 95289430123200 101642058798080 114347316147840 121970470557696 127052573497600 142934145184800 152463088197120 162627294076928 182955705836544 190578860246400 203284117596160 228694632295680 243940941115392 254105146995200 285868290369600 304926176394240 325254588153856 365911411673088 381157720492800 406568235192320 457389264591360 487881882230784 508210293990400 571736580739200 609852352788480 650509176307712 731822823346176 762315440985600 813136470384640 914778529182720 975763764461568 1016420587980800 1143473161478400 1219704705576960 1463645646692352 1524630881971200 1626272940769280 1829557058365440 1951527528923136 2032841175961600 2286946322956800 2439409411153920 2927291293384704 3049261763942400 3252545881538560 3659114116730880 4065682351923200 4573892645913600 4878818822307840 5854582586769408 6098523527884800 7318228233461760 8131364703846400 9147785291827200 9757637644615680 12197047055769600 14636456466923520 16262729407692800 18295570583654400 24394094111539200 29272912933847040 36591141167308800 48788188223078400 73182282334617600 146364564669235200
• Sum of all divisors σ(n): 524306116963701735
• Sum of proper divisors (its aliquot sum) s(n): 377941552294466535
• 146364564669235200 is an abundant number, because the sum of its proper divisors (377941552294466535) is greater than itself. Its abundance is 231576987625231335

Bases of 146364564669235200

• Binary: 1000000111111111011100101111001100110100001000000000000000₂
• Hexadecimal: 0x207FDCBCCD08000
• Base-36: 1415WORIZNK0

Squares and roots of 146364564669235200

• 146364564669235200 squared (146364564669235200²) is 21422585790814732970781352919040000
• 146364564669235200 cubed (146364564669235200³) is 3135507443361942082277893441972869775604318208000000
• The square root of 146364564669235200 is 382576220.7315493883
• The cube root of 146364564669235200 is 527001.6582890607

Scales and comparisons

• 146,364,564,669,235,200 seconds is equal to 4,653,940,421 years, 8 weeks, 1 day, 8 hours.
• To count from 1 to 146,364,564,669,235,200 would take you about thirteen billion, nine hundred sixty-one million, eight hundred twenty-one thousand, two hundred sixty-three 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 146364564669235200 cubic inches would be around 43916.8 feet tall.

Recreational maths with 146364564669235200

• 146364564669235200 backwards is 002532966465463641
• 146364564669235200 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 146364564669235200's digits is 72
• More coming soon!