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42116224464 = 2432292473781
BaseRepresentation
bin100111001110010100…
…101001010111010000
311000201011002212201100
4213032110221113100
51142223223140324
631203052504400
73020452000266
oct471624512720
9130634085640
1042116224464
1116952568886
1281b477b100
133c826311a2
14207767c436
1511676a64c9
hex9ce5295d0

42116224464 has 30 divisors (see below), whose sum is σ = 117866934146. Its totient is φ = 14038741440.

The previous prime is 42116224433. The next prime is 42116224471. The reversal of 42116224464 is 46442261124.

42116224464 is a `hidden beast` number, since 4 + 21 + 1 + 622 + 4 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40807232064 + 1308992400 = 202008^2 + 36180^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 146236747 + ... + 146237034.

Almost surely, 242116224464 is an apocalyptic number.

It is an amenable number.

42116224464 is an abundant number, since it is smaller than the sum of its proper divisors (75750709682).

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

42116224464 is a wasteful number, since it uses less digits than its factorization.

42116224464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292473795 (or 292473786 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 42116224464 its reverse (46442261124), we get a palindrome (88558485588).

The spelling of 42116224464 in words is "forty-two billion, one hundred sixteen million, two hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 292473781 584947562 877421343 1169895124 1754842686 2339790248 2632264029 3509685372 4679580496 5264528058 7019370744 10529056116 14038741488 21058112232 42116224464