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144355122252 = 223211364533137
BaseRepresentation
bin1000011001110000111…
…1000101110001001100
3111210121100122000100100
42012130033011301030
54331114402403002
6150152115131100
713300153202505
oct2063417056114
9453540560310
10144355122252
1156247780a30
1223b882a3a90
13107c6c41203
146db5bc3bac
153b4d24311c
hex219c3c5c4c

144355122252 has 36 divisors (see below), whose sum is σ = 398070186696. Its totient is φ = 43743976320.

The previous prime is 144355122239. The next prime is 144355122253. The reversal of 144355122252 is 252221553441.

144355122252 is a `hidden beast` number, since 1 + 44 + 35 + 512 + 22 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (144355122253) 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 11 ways as a sum of consecutive naturals, for example, 182266173 + ... + 182266964.

It is an arithmetic number, because the mean of its divisors is an integer number (11057505186).

Almost surely, 2144355122252 is an apocalyptic number.

144355122252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144355122252 is an abundant number, since it is smaller than the sum of its proper divisors (253715064444).

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

144355122252 is a wasteful number, since it uses less digits than its factorization.

144355122252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364533158 (or 364533153 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 144355122252 its reverse (252221553441), we get a palindrome (396576675693).

The spelling of 144355122252 in words is "one hundred forty-four billion, three hundred fifty-five million, one hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 364533137 729066274 1093599411 1458132548 2187198822 3280798233 4009864507 4374397644 6561596466 8019729014 12029593521 13123192932 16039458028 24059187042 36088780563 48118374084 72177561126 144355122252