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144137062212 = 22311133137671093
BaseRepresentation
bin1000011000111100111…
…1010000011101000100
3111210001011022102012120
42012033033100131010
54330143041442322
6150114325245540
713261564546113
oct2061717203504
9453034272176
10144137062212
1156145683220
1223b272638b0
1310790a027c0
146d94c5dc7a
153b3901ca5c
hex218f3d0744

144137062212 has 384 divisors, whose sum is σ = 425527001088. Its totient is φ = 37362124800.

The previous prime is 144137062207. The next prime is 144137062219. The reversal of 144137062212 is 212260731441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144137062219) 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 127 ways as a sum of consecutive naturals, for example, 131872338 + ... + 131873430.

It is an arithmetic number, because the mean of its divisors is an integer number (1108143232).

Almost surely, 2144137062212 is an apocalyptic number.

144137062212 is a gapful number since it is divisible by the number (12) 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 144137062212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212763500544).

144137062212 is an abundant number, since it is smaller than the sum of its proper divisors (281389938876).

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

144137062212 is a wasteful number, since it uses less digits than its factorization.

144137062212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 144137062212 its reverse (212260731441), we get a palindrome (356397793653).

The spelling of 144137062212 in words is "one hundred forty-four billion, one hundred thirty-seven million, sixty-two thousand, two hundred twelve".