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53042400444 = 223114110399433
BaseRepresentation
bin110001011001100100…
…101100110010111100
312001220121122010102210
4301121210230302330
51332112323303234
640211202420420
73555303651615
oct613144546274
9161817563383
1053042400444
112054a063590
12a343961710
13500417b587
1427d2812c0c
1515a6a11be9
hexc5992ccbc

53042400444 has 96 divisors (see below), whose sum is σ = 138457912320. Its totient is φ = 15664665600.

The previous prime is 53042400431. The next prime is 53042400461. The reversal of 53042400444 is 44400424035.

53042400444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5618352 + ... + 5627784.

It is an arithmetic number, because the mean of its divisors is an integer number (1442269920).

Almost surely, 253042400444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53042400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69228956160).

53042400444 is an abundant number, since it is smaller than the sum of its proper divisors (85415511876).

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

53042400444 is a wasteful number, since it uses less digits than its factorization.

53042400444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 53042400444 its reverse (44400424035), we get a palindrome (97442824479).

The spelling of 53042400444 in words is "fifty-three billion, forty-two million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1039 1353 1804 2078 2706 3117 4156 5412 6234 9433 11429 12468 18866 22858 28299 34287 37732 42599 45716 56598 68574 85198 103763 113196 127797 137148 170396 207526 255594 311289 386753 415052 468589 511188 622578 773506 937178 1160259 1245156 1405767 1547012 1874356 2320518 2811534 4254283 4641036 5623068 8508566 9800887 12762849 17017132 19601774 25525698 29402661 39203548 51051396 58805322 107809757 117610644 215619514 323429271 401836367 431239028 646858542 803672734 1205509101 1293717084 1607345468 2411018202 4420200037 4822036404 8840400074 13260600111 17680800148 26521200222 53042400444