146200983810048

Names of 146200983810048

• Cardinal: 146200983810048 can be written as One hundred forty-six trillion, two hundred billion, nine hundred eighty-three million, eight hundred ten thousand and forty-eight.

Scientific notation

• Scientific notation: 1.46200983810048 × 10¹⁴

Factors of 146200983810048

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 3035

Divisors of 146200983810048

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 229 243 256 288 324 384 432 458 486 512 576 648 687 768 864 916 972 1024 1152 1296 1374 1536 1728 1832 1944 2048 2061 2304 2592 2748 2801 3072 3456 3664 3888 4096 4122 4608 5184 5496 5602 6144 6183 6912 7328 7776 8244 8403 9216 10368 10992 11204 12288 12366 13824 14656 15552 16488 16806 18432 18549 20736 21984 22408 24732 25209 27648 29312 31104 32976 33612 36864 37098 41472 43968 44816 49464 50418 52441 55296 55647 58624 62208 65952 67224 74196 75627 82944 87936 89632 98928 100836 104882 110592 111294 117248 124416 131904 134448 148392 151254 157323 165888 175872 179264 197856 201672 209764 222588 226881 234496 248832 263808 268896 296784 302508 314646 331776 351744 358528 395712 403344 419528 445176 453762 468992 471969 497664 527616 537792 593568 605016 629292 641429 680643 703488 717056 791424 806688 839056 890352 907524 937984 943938 995328 1055232 1075584 1187136 1210032 1258584 1282858 1361286 1406976 1415907 1434112 1582848 1613376 1678112 1780704 1815048 1887876 1924287 2110464 2151168 2374272 2420064 2517168 2565716 2722572 2813952 2831814 2868224 3165696 3226752 3356224 3561408 3630096 3775752 3848574 4220928 4247721 4302336 4748544 4840128 5034336 5131432 5445144 5663628 5736448 5772861 6331392 6453504 6712448 7122816 7260192 7551504 7697148 8441856 8495442 8604672 9497088 9680256 10068672 10262864 10890288 11327256 11472896 11545722 12662784 12743163 12907008 13424896 14245632 14520384 15103008 15394296 16990884 17209344 17318583 18994176 19360512 20137344 20525728 21780576 22654512 23091444 25325568 25486326 25814016 26849792 28491264 29040768 30206016 30788592 33981768 34418688 34637166 37988352 38721024 40274688 41051456 43561152 45309024 46182888 50972652 51628032 51955749 53699584 56982528 58081536 60412032 61577184 67963536 69274332 75976704 77442048 80549376 82102912 87122304 90618048 92365776 101945304 103256064 103911498 107399168 113965056 116163072 120824064 123154368 135927072 138548664 146887241 154884096 155867247 161098752 164205824 174244608 181236096 184731552 203890608 207822996 214798336 227930112 232326144 241648128 246308736 271854144 277097328 293774482 309768192 311734494 322197504 328411648 348489216 362472192 369463104 407781216 415645992 440661723 464652288 483296256 492617472 543708288 554194656 587548964 623468988 644395008 656823296 696978432 724944384 738926208 815562432 831291984 881323446 929304576 966592512 985234944 1087416576 1108389312 1175097928 1246937976 1313646592 1321985169 1393956864 1449888768 1477852416 1631124864 1662583968 1762646892 1933185024 1970469888 2174833152 2216778624 2350195856 2493875952 2627293184 2643970338 2787913728 2899777536 2955704832 3262249728 3325167936 3525293784 3940939776 3965955507 4349666304 4433557248 4700391712 4987751904 5287940676 5799555072 5911409664 6524499456 6650335872 7050587568 7881879552 7931911014 8699332608 8867114496 9400783424 9975503808 10575881352 11822819328 11897866521 13048998912 13300671744 14101175136 15863822028 17398665216 17734228992 18801566848 19951007616 21151762704 23645638656 23795733042 26097997824 26601343488 28202350272 31727644056 35468457984 35693599563 37603133696 39902015232 42303525408 47591466084 52195995648 53202686976 56404700544 63455288112 70936915968 71387199126 75206267392 79804030464 84607050816 95182932168 106405373952 112809401088 126910576224 142774398252 150412534784 159608060928 169214101632 190365864336 212810747904 225618802176 253821152448 285548796504 300825069568 319216121856 338428203264 380731728672 451237604352 507642304896 571097593008 601650139136 638432243712 676856406528 761463457344 902475208704 1015284609792 1142195186016 1353712813056 1522926914688 1804950417408 2030569219584 2284390372032 2707425626112 3045853829376 4061138439168 4568780744064 5414851252224 6091707658752 8122276878336 9137561488128 12183415317504 16244553756672 18275122976256 24366830635008 36550245952512 48733661270016 73100491905024 146200983810048
• Sum of all divisors σ(n): 440025661392408
• Sum of proper divisors (its aliquot sum) s(n): 293824677582360
• 146200983810048 is an abundant number, because the sum of its proper divisors (293824677582360) is greater than itself. Its abundance is 147623693772312

Bases of 146200983810048

• Binary: 100001001111100000010001101101001011000000000000₂
• Hexadecimal: 0x84F811B4B000
• Base-36: 1FTNSYYO00

Squares and roots of 146200983810048

• 146200983810048 squared (146200983810048²) is 21374727667025917410545762304
• 146200983810048 cubed (146200983810048³) is 3125006213591041209117615361906918494830592
• The square root of 146200983810048 is 12091359.8825792957
• The cube root of 146200983810048 is 52680.5254831067

Scales and comparisons

• 146,200,983,810,048 seconds is equal to 4,648,739 years, 2 weeks, 6 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 146,200,983,810,048 would take you about eleven million, six hundred twenty-one thousand, eight hundred forty-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 146200983810048 cubic inches would be around 4390 feet tall.

Recreational maths with 146200983810048

• 146200983810048 backwards is 840018389002641
• 146200983810048 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146200983810048's digits is 54
• More coming soon!