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144215032 = 23131977039
BaseRepresentation
bin10001001100010…
…00101111111000
3101001100212211111
420212020233320
5243404340112
622151010104
73400543663
oct1046105770
9331325744
10144215032
1174450985
1240369934
1323b54a50
14152206da
15c9da5a7
hex8988bf8

144215032 has 32 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 66213504.

The previous prime is 144215023. The next prime is 144215039. The reversal of 144215032 is 230512441.

It is a super-2 number, since 2×1442150322 = 41595950909522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144214994 and 144215012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144215039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16969 + ... + 24007.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2144215032 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 144215032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

144215032 is an abundant number, since it is smaller than the sum of its proper divisors (148508168).

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

144215032 is a wasteful number, since it uses less digits than its factorization.

144215032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 144215032 is about 12008.9563243439. The cubic root of 144215032 is about 524.4090487432.

Adding to 144215032 its reverse (230512441), we get a palindrome (374727473).

The spelling of 144215032 in words is "one hundred forty-four million, two hundred fifteen thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 197 394 788 1576 2561 5122 7039 10244 14078 20488 28156 56312 91507 183014 366028 732056 1386683 2773366 5546732 11093464 18026879 36053758 72107516 144215032