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144944164120 = 2357517657729
BaseRepresentation
bin1000011011111101011…
…0000110110100011000
3111212010102000102212211
42012333112012310120
54333321201222440
6150330400244504
713320565031650
oct2067726066430
9455112012784
10144944164120
115651a224898
1224111610734
131088bca10b2
147030117360
153b84ce8eea
hex21bf586d18

144944164120 has 32 divisors (see below), whose sum is σ = 372713565600. Its totient is φ = 49695141888.

The previous prime is 144944164103. The next prime is 144944164121. The reversal of 144944164120 is 21461449441.

144944164120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1449441641203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144944164121) 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, 258828585 + ... + 258829144.

It is an arithmetic number, because the mean of its divisors is an integer number (11647298925).

Almost surely, 2144944164120 is an apocalyptic number.

144944164120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144944164120 is an abundant number, since it is smaller than the sum of its proper divisors (227769401480).

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

144944164120 is a wasteful number, since it uses less digits than its factorization.

144944164120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517657747 (or 517657743 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 144944164120 in words is "one hundred forty-four billion, nine hundred forty-four million, one hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 517657729 1035315458 2070630916 2588288645 3623604103 4141261832 5176577290 7247208206 10353154580 14494416412 18118020515 20706309160 28988832824 36236041030 72472082060 144944164120