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144534052032 = 2634323831063
BaseRepresentation
bin1000011010011011100…
…1101001110011000000
3111211001211022120212020
42012212321221303000
54332001204131112
6150221550201440
713304455112616
oct2064671516300
9454054276766
10144534052032
1156329782587
12240181b3280
131082502bc16
146dd187d6b6
153b5dcd948c
hex21a6e69cc0

144534052032 has 168 divisors, whose sum is σ = 392904658944. Its totient is φ = 46890579456.

The previous prime is 144534051971. The next prime is 144534052063. The reversal of 144534052032 is 230250435441.

It is a junction number, because it is equal to n+sod(n) for n = 144534051984 and 144534052002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 135967533 + ... + 135968595.

It is an arithmetic number, because the mean of its divisors is an integer number (2338718208).

Almost surely, 2144534052032 is an apocalyptic number.

144534052032 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 144534052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196452329472).

144534052032 is an abundant number, since it is smaller than the sum of its proper divisors (248370606912).

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

144534052032 is a wasteful number, since it uses less digits than its factorization.

144534052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 144534052032 its reverse (230250435441), we get a palindrome (374784487473).

The spelling of 144534052032 in words is "one hundred forty-four billion, five hundred thirty-four million, fifty-two thousand, thirty-two".