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144313242444012 = 223591031978954013
BaseRepresentation
bin100000110100000010001011…
…100011010110000011101100
3200220222012200222212010101210
4200310002023203112003230
5122403412010031202022
61230532331025434420
742253200452114205
oct4064021343260354
9626865628763353
10144313242444012
1141a899a2137314
1214228a58a9ba10
13626a8aca04b05
14278cb263a85ac
1511a3dba4e7a0c
hex83408b8d60ec

144313242444012 has 48 divisors (see below), whose sum is σ = 345762845326080. Its totient is φ = 46829967739968.

The previous prime is 144313242443969. The next prime is 144313242444023. The reversal of 144313242444012 is 210444242313441.

It is a happy number.

It is a super-2 number, since 2×1443132424440122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989404083 + ... + 989549930.

It is an arithmetic number, because the mean of its divisors is an integer number (7203392610960).

Almost surely, 2144313242444012 is an apocalyptic number.

144313242444012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144313242444012 is an abundant number, since it is smaller than the sum of its proper divisors (201449602882068).

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

144313242444012 is a wasteful number, since it uses less digits than its factorization.

144313242444012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978954182 (or 1978954180 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 144313242444012 its reverse (210444242313441), we get a palindrome (354757484757453).

The spelling of 144313242444012 in words is "one hundred forty-four trillion, three hundred thirteen billion, two hundred forty-two million, four hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 59 103 118 177 206 236 309 354 412 618 708 1236 6077 12154 18231 24308 36462 72924 1978954013 3957908026 5936862039 7915816052 11873724078 23747448156 116758286767 203832263339 233516573534 350274860301 407664526678 467033147068 611496790017 700549720602 815329053356 1222993580034 1401099441204 2445987160068 12026103537001 24052207074002 36078310611003 48104414148004 72156621222006 144313242444012