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144122477720 = 23513277158611
BaseRepresentation
bin1000011000111001011…
…1100111110010011000
3111210000010212110001012
42012032113213302120
54330130323241340
6150113044513052
713261326563534
oct2061627476230
9453003773035
10144122477720
1156138421721
1223b223ab788
131078a997320
146d92d44bc4
153b37adb565
hex218e5e7c98

144122477720 has 32 divisors (see below), whose sum is σ = 349219851120. Its totient is φ = 53214453120.

The previous prime is 144122477713. The next prime is 144122477729. The reversal of 144122477720 is 27774221441.

144122477720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144122477729) 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, 138578786 + ... + 138579825.

Almost surely, 2144122477720 is an apocalyptic number.

144122477720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144122477720 is an abundant number, since it is smaller than the sum of its proper divisors (205097373400).

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

144122477720 is a wasteful number, since it uses less digits than its factorization.

144122477720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277158635 (or 277158631 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 41.

The spelling of 144122477720 in words is "one hundred forty-four billion, one hundred twenty-two million, four hundred seventy-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 277158611 554317222 1108634444 1385793055 2217268888 2771586110 3603061943 5543172220 7206123886 11086344440 14412247772 18015309715 28824495544 36030619430 72061238860 144122477720