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144312476 = 227111034549
BaseRepresentation
bin10001001101000…
…00100010011100
3101001112211111112
420212200202130
5243420444401
622153041152
73401431040
oct1046404234
9331484445
10144312476
1174508110
12403b61b8
1323b8a1c9
1415248020
15ca093bb
hex89a089c

144312476 has 48 divisors (see below), whose sum is σ = 317990400. Its totient is φ = 55667520.

The previous prime is 144312461. The next prime is 144312479. The reversal of 144312476 is 674213441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144312479) 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, 29450 + ... + 33998.

It is an arithmetic number, because the mean of its divisors is an integer number (6624800).

Almost surely, 2144312476 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 144312476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158995200).

144312476 is an abundant number, since it is smaller than the sum of its proper divisors (173677924).

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

144312476 is a wasteful number, since it uses less digits than its factorization.

144312476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4672 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 144312476 is about 12013.0127778172. The cubic root of 144312476 is about 524.5271340072.

The spelling of 144312476 in words is "one hundred forty-four million, three hundred twelve thousand, four hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 103 154 206 308 412 721 1133 1442 2266 2884 4532 4549 7931 9098 15862 18196 31724 31843 50039 63686 100078 127372 200156 350273 468547 700546 937094 1401092 1874188 3279829 5154017 6559658 10308034 13119316 20616068 36078119 72156238 144312476