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144284112 = 2433747713
BaseRepresentation
bin10001001100110…
…01100111010000
3101001111101121000
420212121213100
5243414042422
622152302000
73401252250
oct1046314720
9331441530
10144284112
1174498875
12403a1900
1323b7a31b
141523b960
15ca00cac
hex89999d0

144284112 has 80 divisors (see below), whose sum is σ = 473322880. Its totient is φ = 41223168.

The previous prime is 144284089. The next prime is 144284113. The reversal of 144284112 is 211482441.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144284113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20833 + ... + 26880.

It is an arithmetic number, because the mean of its divisors is an integer number (5916536).

Almost surely, 2144284112 is an apocalyptic number.

144284112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144284112 is an abundant number, since it is smaller than the sum of its proper divisors (329038768).

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

144284112 is a wasteful number, since it uses less digits than its factorization.

144284112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47737 (or 47725 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 144284112 is about 12011.8321666597. The cubic root of 144284112 is about 524.4927672339.

The spelling of 144284112 in words is "one hundred forty-four million, two hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 47713 95426 143139 190852 286278 333991 381704 429417 572556 667982 763408 858834 1001973 1145112 1288251 1335964 1717668 2003946 2290224 2576502 2671928 3005919 3435336 4007892 5153004 5343856 6011838 6870672 8015784 9017757 10306008 12023676 16031568 18035514 20612016 24047352 36071028 48094704 72142056 144284112