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144141132 = 22353226637
BaseRepresentation
bin10001001011101…
…10101101001100
3101001020010110110
420211312231030
5243400004012
622145240020
73400115352
oct1045665514
9331203413
10144141132
1174400403
1240333010
1323b2a215
14152017d2
15c9c373c
hex8976b4c

144141132 has 24 divisors (see below), whose sum is σ = 342676656. Its totient is φ = 47140288.

The previous prime is 144141131. The next prime is 144141133. The reversal of 144141132 is 231141441.

144141132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144141131) and next prime (144141133).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144141099 and 144141108.

It is not an unprimeable number, because it can be changed into a prime (144141131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112683 + ... + 113954.

It is an arithmetic number, because the mean of its divisors is an integer number (14278194).

Almost surely, 2144141132 is an apocalyptic number.

144141132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144141132 is an abundant number, since it is smaller than the sum of its proper divisors (198535524).

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

144141132 is a wasteful number, since it uses less digits than its factorization.

144141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226697 (or 226695 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 144141132 is about 12005.8790598606. The cubic root of 144141132 is about 524.3194592610.

Adding to 144141132 its reverse (231141441), we get a palindrome (375282573).

The spelling of 144141132 in words is "one hundred forty-four million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 226637 453274 679911 906548 1359822 2719644 12011761 24023522 36035283 48047044 72070566 144141132