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144322332103120 = 2454573947547377
BaseRepresentation
bin100000110100001010101001…
…010101101001000111010000
3200221000002011110122122120211
4200310022221111221013100
5122404034114004244440
61230540433012413504
742253641634001113
oct4064125125510720
9627002143578524
10144322332103120
1141a92836aa6786
121422a775017294
13626b6cac17b22
14278d34967c57a
1511a424d4d4eea
hex8342a95691d0

144322332103120 has 40 divisors (see below), whose sum is σ = 336283666037064. Its totient is φ = 57602611310592.

The previous prime is 144322332103111. The next prime is 144322332103129. The reversal of 144322332103120 is 21301233223441.

144322332103120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144322332103111) and next prime (144322332103129).

It can be written as a sum of positive squares in 4 ways, for example, as 69861379489344 + 74460952613776 = 8358312^2 + 8629076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144322332103129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1973737129 + ... + 1973810248.

Almost surely, 2144322332103120 is an apocalyptic number.

144322332103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144322332103120 is an abundant number, since it is smaller than the sum of its proper divisors (191961333933944).

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

144322332103120 is a wasteful number, since it uses less digits than its factorization.

144322332103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947547847 (or 3947547841 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 144322332103120 its reverse (21301233223441), we get a palindrome (165623565326561).

The spelling of 144322332103120 in words is "one hundred forty-four trillion, three hundred twenty-two billion, three hundred thirty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 457 914 1828 2285 3656 4570 7312 9140 18280 36560 3947547377 7895094754 15790189508 19737736885 31580379016 39475473770 63160758032 78950947540 157901895080 315803790160 1804029151289 3608058302578 7216116605156 9020145756445 14432233210312 18040291512890 28864466420624 36080583025780 72161166051560 144322332103120