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144141525144 = 233210303194309
BaseRepresentation
bin1000011000111110000…
…0010010000010011000
3111210001110201011012100
42012033200102002120
54330200212301034
6150115005043400
713261650514431
oct2061740220230
9453043634170
10144141525144
11561481512a1
1223b28856560
1310791905ca6
146d956a2488
153b39600099
hex218f812098

144141525144 has 48 divisors (see below), whose sum is σ = 390423196800. Its totient is φ = 48042264384.

The previous prime is 144141525133. The next prime is 144141525179. The reversal of 144141525144 is 441525141441.

144141525144 is a `hidden beast` number, since 1 + 4 + 414 + 152 + 51 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144141525099 and 144141525108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644662 + ... + 838970.

It is an arithmetic number, because the mean of its divisors is an integer number (8133816600).

Almost surely, 2144141525144 is an apocalyptic number.

It is an amenable number.

144141525144 is an abundant number, since it is smaller than the sum of its proper divisors (246281671656).

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

144141525144 is a wasteful number, since it uses less digits than its factorization.

144141525144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204624 (or 204617 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

Adding to 144141525144 its reverse (441525141441), we get a palindrome (585666666585).

The spelling of 144141525144 in words is "one hundred forty-four billion, one hundred forty-one million, five hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 10303 20606 30909 41212 61818 82424 92727 123636 185454 194309 247272 370908 388618 582927 741816 777236 1165854 1554472 1748781 2331708 3497562 4663416 6995124 13990248 2001965627 4003931254 6005896881 8007862508 12011793762 16015725016 18017690643 24023587524 36035381286 48047175048 72070762572 144141525144