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144353746120 = 2356701538553
BaseRepresentation
bin1000011001110000100…
…1110101110011001000
3111210121021001002122111
42012130021311303020
54331114024333440
6150152025432104
713300135411453
oct2063411656310
9453537032574
10144353746120
1156246a21031
1223b8793b634
13107c687ba2c
146db594649a
153b4d0704ea
hex219c275cc8

144353746120 has 32 divisors (see below), whose sum is σ = 324845001720. Its totient is φ = 57732774400.

The previous prime is 144353746087. The next prime is 144353746139. The reversal of 144353746120 is 21647353441.

It can be written as a sum of positive squares in 4 ways, for example, as 91036165284 + 53317580836 = 301722^2 + 230906^2 .

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1237 + ... + 537316.

Almost surely, 2144353746120 is an apocalyptic number.

144353746120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144353746120 is an abundant number, since it is smaller than the sum of its proper divisors (180491255600).

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

144353746120 is a wasteful number, since it uses less digits than its factorization.

144353746120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545265 (or 545261 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 144353746120 in words is "one hundred forty-four billion, three hundred fifty-three million, seven hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 6701 13402 26804 33505 53608 67010 134020 268040 538553 1077106 2154212 2692765 4308424 5385530 10771060 21542120 3608843653 7217687306 14435374612 18044218265 28870749224 36088436530 72176873060 144353746120