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240321541514012 = 227219379831774303
BaseRepresentation
bin110110101001001000111000…
…000111010010001100011100
31011111220111220102122101120022
4312221020320013102030130
5222444412004111422022
62211042105252211312
7101422441555220600
oct6651107007221434
91144814812571508
10240321541514012
116a634880018a62
1222b53b12009b38
13a4132bb528b2a
14434b8a6155500
151cbb4ac6d0c42
hexda92381d231c

240321541514012 has 144 divisors (see below), whose sum is σ = 529431305840640. Its totient is φ = 94840387947648.

The previous prime is 240321541514011. The next prime is 240321541514059. The reversal of 240321541514012 is 210415145123042.

It is a super-2 number, since 2×2403215415140122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240321541514011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134558453 + ... + 136332755.

It is an arithmetic number, because the mean of its divisors is an integer number (3676606290560).

Almost surely, 2240321541514012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240321541514012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264715652920320).

240321541514012 is an abundant number, since it is smaller than the sum of its proper divisors (289109764326628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240321541514012 is a wasteful number, since it uses less digits than its factorization.

240321541514012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775360 (or 1775351 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 240321541514012 its reverse (210415145123042), we get a palindrome (450736686637054).

The spelling of 240321541514012 in words is "two hundred forty trillion, three hundred twenty-one billion, five hundred forty-one million, five hundred fourteen thousand, twelve".

Divisors: 1 2 4 7 14 19 28 37 38 49 74 76 98 133 148 196 259 266 518 532 703 931 983 1036 1406 1813 1862 1966 2812 3626 3724 3932 4921 6881 7252 9842 13762 18677 19684 27524 34447 36371 37354 48167 68894 72742 74708 96334 130739 137788 145484 192668 254597 261478 509194 522956 691049 915173 1018388 1382098 1774303 1782179 1830346 2764196 3548606 3564358 3660692 4837343 7097212 7128716 9674686 12420121 19349372 24840242 33711757 33861401 49680484 65649211 67423514 67722802 86940847 131298422 134847028 135445604 173881694 235982299 262596844 347763388 459544477 471964598 919088954 943929196 1247335009 1651876093 1744139849 1838177908 2494670018 3216811339 3303752186 3488279698 4989340036 6433622678 6607504372 6976559396 8731345063 12208978943 12867245356 17462690126 24417957886 33138657131 34925380252 48835915772 61119415441 64533174413 66277314262 85462852601 122238830882 129066348826 132554628524 170925705202 231970599917 244477661764 258132697652 341851410404 451732220891 463941199834 903464441782 927882399668 1226130313847 1623794199419 1806928883564 2452260627694 3162125546237 3247588398838 4904521255388 6324251092474 6495176797676 8582912196929 12648502184948 17165824393858 34331648787716 60080385378503 120160770757006 240321541514012