146113537306001408

Names of 146113537306001408

• Cardinal: 146113537306001408 can be written as One hundred forty-six quadrillion, one hundred thirteen trillion, five hundred thirty-seven billion, three hundred six million, one thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.46113537306001408 × 10¹⁷

Factors of 146113537306001408

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 1977

Divisors of 146113537306001408

• Number of divisors d(n): 348
• Complete list of divisors:
  1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 1024 1144 1408 1664 1951 2048 2288 2816 3328 3902 4096 4576 5632 6656 7804 8192 9152 11264 13312 15608 16384 18304 21461 22528 25363 26624 31216 32768 36608 42922 45056 50726 53248 62432 65536 73216 85844 90112 101452 106496 124864 131072 146432 171688 180224 202904 212992 249728 262144 278993 292864 343376 360448 405808 425984 499456 524288 557986 585728 686752 720896 811616 851968 998912 1048576 1115972 1171456 1373504 1441792 1623232 1703936 1997824 2097152 2231944 2342912 2747008 2883584 3246464 3407872 3806401 3995648 4194304 4463888 4685824 5494016 5767168 6492928 6815744 7612802 7991296 8388608 8927776 9371648 10988032 11534336 12985856 13631488 15225604 15982592 16777216 17855552 18743296 21976064 23068672 25971712 27262976 30451208 31965184 33554432 35711104 37486592 41870411 43952128 46137344 49483213 51943424 54525952 60902416 63930368 67108864 71422208 74973184 83740822 87904256 92274688 98966426 103886848 109051904 121804832 127860736 134217728 142844416 149946368 167481644 175808512 184549376 197932852 207773696 218103808 243609664 255721472 268435456 285688832 299892736 334963288 351617024 369098752 395865704 415547392 436207616 487219328 511442944 544315343 571377664 599785472 669926576 703234048 738197504 791731408 831094784 872415232 974438656 1022885888 1088630686 1142755328 1199570944 1339853152 1406468096 1476395008 1583462816 1662189568 1744830464 1948877312 2045771776 2177261372 2285510656 2399141888 2679706304 2812936192 2952790016 3166925632 3324379136 3489660928 3897754624 4091543552 4354522744 4571021312 4798283776 5359412608 5625872384 6333851264 6648758272 7795509248 8183087104 8709045488 9142042624 9596567552 10718825216 11251744768 12667702528 13297516544 15591018496 16366174208 17418090976 18284085248 19193135104 21437650432 22503489536 25335405056 26595033088 31182036992 32732348416 34836181952 36568170496 38386270208 42875300864 45006979072 50670810112 53190066176 62364073984 65464696832 69672363904 73136340992 85750601728 90013958144 101341620224 106380132352 124728147968 130929393664 139344727808 146272681984 171501203456 180027916288 202683240448 212760264704 249456295936 261858787328 278689455616 292545363968 343002406912 360055832576 405366480896 425520529408 498912591872 523717574656 557378911232 585090727936 686004813824 720111665152 810732961792 851041058816 997825183744 1114757822464 1170181455872 1372009627648 1440223330304 1621465923584 1702082117632 1995650367488 2229515644928 2340362911744 2744019255296 2880446660608 3242931847168 3404164235264 3991300734976 4459031289856 4680725823488 5488038510592 5760893321216 6485863694336 6808328470528 7982601469952 8918062579712 9361451646976 10976077021184 12971727388672 15965202939904 17836125159424 18722903293952 21952154042368 25943454777344 31930405879808 35672250318848 37445806587904 43904308084736 51886909554688 63860811759616 71344500637696 74891613175808 87808616169472 103773819109376 127721623519232 142689001275392 175617232338944 207547638218752 255443247038464 285378002550784 351234464677888 415095276437504 510886494076928 570756005101568 702468929355776 830190552875008 1021772988153856 1141512010203136 1404937858711552 1660381105750016 2283024020406272 2809875717423104 3320762211500032 4566048040812544 5619751434846208 6641524423000064 9132096081625088 11239502869692416 13283048846000128 18264192163250176 36528384326500352 73056768653000704 146113537306001408
• Sum of all divisors σ(n): 343491782679289944
• Sum of proper divisors (its aliquot sum) s(n): 197378245373288536
• 146113537306001408 is an abundant number, because the sum of its proper divisors (197378245373288536) is greater than itself. Its abundance is 51264708067287128

Bases of 146113537306001408

• Binary: 1000000111000110010111110011110000000000000000000000000000₂
• Hexadecimal: 0x207197CF0000000
• Base-36: 13YOXCDW9728

Squares and roots of 146113537306001408

• 146113537306001408 squared (146113537306001408²) is 21349165784072265193357053697982464
• 146113537306001408 cubed (146113537306001408³) is 3119402131243051720554925142627798257329408743309312
• The square root of 146113537306001408 is 382248004.9732129185
• The cube root of 146113537306001408 is 526700.2020369191

Scales and comparisons

• 146,113,537,306,001,408 seconds is equal to 4,645,958,527 years, 25 weeks, 1 day, 15 hours, 30 minutes, 8 seconds.
• To count from 1 to 146,113,537,306,001,408 would take you about thirteen billion, nine hundred thirty-seven million, eight hundred seventy-five thousand, five hundred eighty-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 146113537306001408 cubic inches would be around 43891.7 feet tall.

Recreational maths with 146113537306001408

• 146113537306001408 backwards is 804100603735311641
• The number of decimal digits it has is: 18
• The sum of 146113537306001408's digits is 53
• More coming soon!