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144423972 = 22347211827
BaseRepresentation
bin10001001101110…
…11110000100100
3101001202111110000
420212323300210
5243433031342
622155301300
73402404100
oct1046736044
9331674400
10144423972
1174583960
124044a830
1323bc8b94
1415276900
15ca2c44c
hex89bbc24

144423972 has 180 divisors, whose sum is σ = 479700144. Its totient is φ = 37467360.

The previous prime is 144423967. The next prime is 144424013. The reversal of 144423972 is 279324441.

144423972 is a `hidden beast` number, since 144 + 423 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 59 ways as a sum of consecutive naturals, for example, 174223 + ... + 175049.

Almost surely, 2144423972 is an apocalyptic number.

144423972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144423972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239850072).

144423972 is an abundant number, since it is smaller than the sum of its proper divisors (335276172).

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

144423972 is a wasteful number, since it uses less digits than its factorization.

144423972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 144423972 is about 12017.6525161947. The cubic root of 144423972 is about 524.6621826742.

The spelling of 144423972 in words is "one hundred forty-four million, four hundred twenty-three thousand, nine hundred seventy-two".