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144110112 = 25310871381
BaseRepresentation
bin10001001011011…
…11001000100000
3101001011112220120
420211233020200
5243343010422
622144440240
73366626046
oct1045571040
9331145816
10144110112
117438a073
1240319080
1323b19073
14151d4396
15c9b945c
hex896f220

144110112 has 48 divisors (see below), whose sum is σ = 378911232. Its totient is φ = 47957760.

The previous prime is 144110089. The next prime is 144110119. The reversal of 144110112 is 211011441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 144110091 and 144110100.

It is not an unprimeable number, because it can be changed into a prime (144110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103662 + ... + 105042.

It is an arithmetic number, because the mean of its divisors is an integer number (7893984).

Almost surely, 2144110112 is an apocalyptic number.

144110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144110112 is an abundant number, since it is smaller than the sum of its proper divisors (234801120).

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

144110112 is a wasteful number, since it uses less digits than its factorization.

144110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 144110112 is about 12004.5871232625. The cubic root of 144110112 is about 524.2818443756.

Adding to 144110112 its reverse (211011441), we get a palindrome (355121553).

The spelling of 144110112 in words is "one hundred forty-four million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1087 1381 2174 2762 3261 4143 4348 5524 6522 8286 8696 11048 13044 16572 17392 22096 26088 33144 34784 44192 52176 66288 104352 132576 1501147 3002294 4503441 6004588 9006882 12009176 18013764 24018352 36027528 48036704 72055056 144110112