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144147144 = 23341263557
BaseRepresentation
bin10001001011110…
…00001011001000
3101001020102201010
420211320023020
5243400202034
622145323520
73400142031
oct1045701310
9331212633
10144147144
1174404979
12403365a0
1323b2cb8b
1415203a88
15c9c53e9
hex89782c8

144147144 has 64 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 46615040.

The previous prime is 144147119. The next prime is 144147163. The reversal of 144147144 is 441741441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258514 + ... + 259070.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2144147144 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 144147144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

144147144 is an abundant number, since it is smaller than the sum of its proper divisors (227079096).

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

144147144 is a wasteful number, since it uses less digits than its factorization.

144147144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 866 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 144147144 is about 12006.1294345847. The cubic root of 144147144 is about 524.3267487944.

Adding to 144147144 its reverse (441741441), we get a palindrome (585888585).

The spelling of 144147144 in words is "one hundred forty-four million, one hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 263 328 492 526 557 789 984 1052 1114 1578 1671 2104 2228 3156 3342 4456 6312 6684 10783 13368 21566 22837 32349 43132 45674 64698 68511 86264 91348 129396 137022 146491 182696 258792 274044 292982 439473 548088 585964 878946 1171928 1757892 3515784 6006131 12012262 18018393 24024524 36036786 48049048 72073572 144147144