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144066006 = 23371273001
BaseRepresentation
bin10001001011001…
…00010111010110
3101001002022102000
420211210113112
5243340103011
622143500130
73366353340
oct1045442726
9331068360
10144066006
1174359a17
12402b7646
1323b01c76
14151c2290
15c9ab356
hex89645d6

144066006 has 64 divisors (see below), whose sum is σ = 368885760. Its totient is φ = 40824000.

The previous prime is 144065993. The next prime is 144066017. The reversal of 144066006 is 600660441.

144066006 is a `hidden beast` number, since 14 + 40 + 6 + 600 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46506 + ... + 49506.

It is an arithmetic number, because the mean of its divisors is an integer number (5763840).

Almost surely, 2144066006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144066006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184442880).

144066006 is an abundant number, since it is smaller than the sum of its proper divisors (224819754).

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

144066006 is a wasteful number, since it uses less digits than its factorization.

144066006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 144066006 is about 12002.7499349107. The cubic root of 144066006 is about 524.2283520976.

The spelling of 144066006 in words is "one hundred forty-four million, sixty-six thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 127 189 254 378 381 762 889 1143 1778 2286 2667 3001 3429 5334 6002 6858 8001 9003 16002 18006 21007 24003 27009 42014 48006 54018 63021 81027 126042 162054 189063 378126 381127 567189 762254 1134378 1143381 2286762 2667889 3430143 5335778 6860286 8003667 10290429 16007334 20580858 24011001 48022002 72033003 144066006