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144246023208 = 23337241491677
BaseRepresentation
bin1000011001010110111…
…0111010010000101000
3111210022202100012121000
42012111232322100220
54330403440220313
6150133220515000
713264356652500
oct2062556722050
9453282305530
10144246023208
11561a1135231
1223b5784ba60
13107aa462c71
146da5504a00
153b43892673
hex2195bba428

144246023208 has 384 divisors, whose sum is σ = 479148566400. Its totient is φ = 40066790400.

The previous prime is 144246023149. The next prime is 144246023231. The reversal of 144246023208 is 802320642441.

144246023208 is a `hidden beast` number, since 1 + 4 + 4 + 24 + 602 + 3 + 20 + 8 = 666.

It is a super-2 number, since 2×1442460232082 (a number of 23 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 213066166 + ... + 213066842.

It is an arithmetic number, because the mean of its divisors is an integer number (1247782725).

Almost surely, 2144246023208 is an apocalyptic number.

144246023208 is a gapful number since it is divisible by the number (18) 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 144246023208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239574283200).

144246023208 is an abundant number, since it is smaller than the sum of its proper divisors (334902543192).

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

144246023208 is a wasteful number, since it uses less digits than its factorization.

144246023208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144246023208 its reverse (802320642441), we get a palindrome (946566665649).

The spelling of 144246023208 in words is "one hundred forty-four billion, two hundred forty-six million, twenty-three thousand, two hundred eight".