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144513432 = 23327286733
BaseRepresentation
bin10001001110100…
…01100110011000
3101001221001011100
420213101212120
5243443412212
622201231400
73403225650
oct1047214630
9331831140
10144513432
1174635098
1240492560
1323c2a80b
141529b360
15ca48bdc
hex89d1998

144513432 has 48 divisors (see below), whose sum is σ = 447305040. Its totient is φ = 41289408.

The previous prime is 144513431. The next prime is 144513433. The reversal of 144513432 is 234315441.

It is a happy number.

144513432 is a `hidden beast` number, since 144 + 513 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (144513431) and next prime (144513433).

It is a junction number, because it is equal to n+sod(n) for n = 144513396 and 144513405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144513431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142863 + ... + 143870.

It is an arithmetic number, because the mean of its divisors is an integer number (9318855).

Almost surely, 2144513432 is an apocalyptic number.

144513432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144513432 is an abundant number, since it is smaller than the sum of its proper divisors (302791608).

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

144513432 is a wasteful number, since it uses less digits than its factorization.

144513432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286752 (or 286745 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 144513432 is about 12021.3739647346. The cubic root of 144513432 is about 524.7704901579.

Adding to 144513432 its reverse (234315441), we get a palindrome (378828873).

The spelling of 144513432 in words is "one hundred forty-four million, five hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 286733 573466 860199 1146932 1720398 2007131 2293864 2580597 3440796 4014262 5161194 6021393 6881592 8028524 10322388 12042786 16057048 18064179 20644776 24085572 36128358 48171144 72256716 144513432