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42144355350 = 2335231218041
BaseRepresentation
bin100111001111111111…
…111101010000010110
311000210010001002001000
4213033333331100112
51142302423332400
631205535444130
73021243052446
oct471777752026
9130703032030
1042144355350
1116967431a49
128202086646
133c88400496
14207b2c2126
151169db1600
hex9cfffd416

42144355350 has 48 divisors (see below), whose sum is σ = 116131116240. Its totient is φ = 11238494400.

The previous prime is 42144355333. The next prime is 42144355381. The reversal of 42144355350 is 5355344124.

42144355350 is a `hidden beast` number, since 4 + 2 + 14 + 43 + 553 + 50 = 666.

It is a super-2 number, since 2×421443553502 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15607671 + ... + 15610370.

It is an arithmetic number, because the mean of its divisors is an integer number (2419398255).

Almost surely, 242144355350 is an apocalyptic number.

42144355350 is an abundant number, since it is smaller than the sum of its proper divisors (73986760890).

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

42144355350 is a wasteful number, since it uses less digits than its factorization.

42144355350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31218062 (or 31218051 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 42144355350 its reverse (5355344124), we get a palindrome (47499699474).

The spelling of 42144355350 in words is "forty-two billion, one hundred forty-four million, three hundred fifty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 31218041 62436082 93654123 156090205 187308246 280962369 312180410 468270615 561924738 780451025 842887107 936541230 1404811845 1560902050 1685774214 2341353075 2809623690 4214435535 4682706150 7024059225 8428871070 14048118450 21072177675 42144355350