146003985382008448

Names of 146003985382008448

• Cardinal: 146003985382008448 can be written as One hundred forty-six quadrillion, three trillion, nine hundred eighty-five billion, three hundred eighty-two million, eight thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.46003985382008448 × 10¹⁷

Factors of 146003985382008448

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 393

Divisors of 146003985382008448

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 4 8 16 32 41 64 82 128 157 164 193 314 328 386 628 656 772 1256 1312 1544 2512 2624 3088 5024 5248 6176 6437 7913 10048 12352 12874 15826 20096 24649 24704 25748 30301 31652 37249 49298 51496 60602 63304 74498 98596 102992 121204 126608 148996 197192 205984 242408 253216 297992 394384 411968 484816 506432 595984 788768 823936 969632 1010609 1012864 1191968 1242341 1527209 1577536 1939264 2021218 2383936 2484682 3054418 3155072 3869893 3878528 4042436 4757257 4767872 4969364 5848093 6108836 7189057 7739786 8084872 9514514 9938728 11696186 12217672 14378114 15479572 16169744 19029028 19877456 23392372 24435344 28756228 30959144 32339488 38058056 39754912 46784744 48870688 57512456 61918288 64678976 76116112 79509824 93569488 97741376 115024912 123836576 129357952 152232224 158665613 159019648 187138976 195047537 195482752 230049824 239771813 247673152 294751337 304464448 317331226 374277952 390095074 460099648 479543626 495346304 589502674 608928896 634662452 746889349 748555904 780190148 918150601 920199296 959087252 1128681949 1179005348 1269324904 1493778698 1560380296 1836301202 1918174504 2257363898 2358010696 2538649808 2987557396 3120760592 3672602404 3836349008 4514727796 4716021392 5077299616 5975114792 6241521184 7345204808 7672698016 9029455592 9432042784 10154599232 11950229584 12483042368 14690409616 15345396032 18058911184 18864085568 20309198464 23900459168 24966084736 29380819232 30622463309 30690792064 36117822368 37644174641 37728171136 46275959909 47800918336 58761638464 61244926618 72235644736 75288349282 92551919818 95601836672 117523276928 122489853236 144149644357 144471289472 150576698564 177203065993 185103839636 244979706472 288299288714 301153397128 354406131986 370207679272 489959412944 576598577428 602306794256 708812263972 740415358544 979918825888 1153197154856 1204613588512 1417624527944 1480830717088 1959837651776 2306394309712 2409227177024 2835249055888 2961661434176 3919675303552 4612788619424 4818454354048 5670498111776 5910135418637 5923322868352 7265325705713 9225577238848 11340996223552 11820270837274 14530651411426 18451154477696 22681992447104 23640541674548 27820881360901 29061302822852 47281083349096 55641762721802 58122605645704 94562166698192 111283525443604 116245211291408 189124333396384 222567050887208 232490422582816 378248666792768 445134101774416 464980845165632 756497333585536 890268203548832 929961690331264 1140656135796941 1780536407097664 2281312271593882 3561072814195328 4562624543187764 9125249086375528 18250498172751056 36500996345502112 73001992691004224 146003985382008448
• Sum of all divisors σ(n): 301433480680500000
• Sum of proper divisors (its aliquot sum) s(n): 155429495298491552
• 146003985382008448 is an abundant number, because the sum of its proper divisors (155429495298491552) is greater than itself. Its abundance is 9425509916483104

Bases of 146003985382008448

• Binary: 1000000110101101011101100111100100011111000110011010000000₂
• Hexadecimal: 0x206B5D9E47C6680
• Base-36: 13XM3CXD98XS

Squares and roots of 146003985382008448

• 146003985382008448 squared (146003985382008448²) is 21317163747429736569261014343368704
• 146003985382008448 cubed (146003985382008448³) is 3112390864165611685529834255146233704501457706811392
• The square root of 146003985382008448 is 382104678.5659767971
• The cube root of 146003985382008448 is 526568.5340010989

Scales and comparisons

• 146,003,985,382,008,448 seconds is equal to 4,642,475,115 years, 8 weeks, 5 days, 9 hours, 27 minutes, 28 seconds.
• To count from 1 to 146,003,985,382,008,448 would take you about thirteen billion, nine hundred twenty-seven million, four hundred twenty-five thousand, three hundred forty-five 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 146003985382008448 cubic inches would be around 43880.7 feet tall.

Recreational maths with 146003985382008448

• 146003985382008448 backwards is 844800283589300641
• The number of decimal digits it has is: 18
• The sum of 146003985382008448's digits is 73
• More coming soon!