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42214144752 = 24321322550291
BaseRepresentation
bin100111010100001010…
…001011101011110000
311000221222100202002200
4213110022023223300
51142423310113002
631220511343200
73023051211213
oct472412135360
9130858322080
1042214144752
11169a286983a
128221521b00
133c999c71a0
14208668b77a
151171099b1c
hex9d428baf0

42214144752 has 60 divisors (see below), whose sum is σ = 127228747464. Its totient is φ = 12988967040.

The previous prime is 42214144703. The next prime is 42214144759. The reversal of 42214144752 is 25744141224.

42214144752 is a `hidden beast` number, since 4 + 22 + 141 + 447 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42214144759) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11273274 + ... + 11277017.

Almost surely, 242214144752 is an apocalyptic number.

It is an amenable number.

42214144752 is an abundant number, since it is smaller than the sum of its proper divisors (85014602712).

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

42214144752 is a wasteful number, since it uses less digits than its factorization.

42214144752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22550318 (or 22550309 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

Adding to 42214144752 its reverse (25744141224), we get a palindrome (67958285976).

It can be divided in two parts, 42214 and 144752, that added together give a triangular number (186966 = T611).

The spelling of 42214144752 in words is "forty-two billion, two hundred fourteen million, one hundred forty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 22550291 45100582 67650873 90201164 135301746 180402328 202952619 270603492 293153783 360804656 405905238 541206984 586307566 811810476 879461349 1082413968 1172615132 1623620952 1758922698 2345230264 2638384047 3247241904 3517845396 4690460528 5276768094 7035690792 10553536188 14071381584 21107072376 42214144752