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144122431302 = 2333772133349
BaseRepresentation
bin1000011000111001011…
…1011100011101000110
3111210000010210002101000
42012032113130131012
54330130320300202
6150113043514130
713261326311313
oct2061627343506
9453003702330
10144122431302
115613839a863
1223b22388946
131078a97c165
146d92d31d0a
153b37acc91c
hex218e5dc746

144122431302 has 32 divisors (see below), whose sum is σ = 328928076000. Its totient is φ = 46742409504.

The previous prime is 144122431279. The next prime is 144122431303. The reversal of 144122431302 is 203134221441.

144122431302 is a `hidden beast` number, since 1 + 4 + 412 + 243 + 1 + 3 + 0 + 2 = 666.

144122431302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144122431303) 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 15 ways as a sum of consecutive naturals, for example, 36064677 + ... + 36068672.

It is an arithmetic number, because the mean of its divisors is an integer number (10279002375).

Almost surely, 2144122431302 is an apocalyptic number.

144122431302 is an abundant number, since it is smaller than the sum of its proper divisors (184805644698).

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

144122431302 is a wasteful number, since it uses less digits than its factorization.

144122431302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72133397 (or 72133391 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144122431302 its reverse (203134221441), we get a palindrome (347256652743).

The spelling of 144122431302 in words is "one hundred forty-four billion, one hundred twenty-two million, four hundred thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 72133349 144266698 216400047 432800094 649200141 1298400282 1947600423 2668933913 3895200846 5337867826 8006801739 16013603478 24020405217 48040810434 72061215651 144122431302