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123144152064 = 2103234142509
BaseRepresentation
bin111001010101111110…
…1101010010000000000
3102202212010110002021220
41302223331222100000
54004144400331224
6132323250315040
711616425010333
oct1625375522000
9382763402256
10123144152064
11482527330aa
121ba48888a80
13b7c6700a8b
145d62b5461a
15330b021279
hex1cabf6a400

123144152064 has 176 divisors, whose sum is σ = 350856455040. Its totient is φ = 38304808960.

The previous prime is 123144152063. The next prime is 123144152069. The reversal of 123144152064 is 460251441321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123144152063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2875642 + ... + 2918150.

Almost surely, 2123144152064 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 123144152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175428227520).

123144152064 is an abundant number, since it is smaller than the sum of its proper divisors (227712302976).

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

123144152064 is a wasteful number, since it uses less digits than its factorization.

123144152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42596 (or 42578 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 123144152064 its reverse (460251441321), we get a palindrome (583395593385).

The spelling of 123144152064 in words is "one hundred twenty-three billion, one hundred forty-four million, one hundred fifty-two thousand, sixty-four".