Search a number
-
+
42412210002 = 23237123751481
BaseRepresentation
bin100111011111111101…
…101111011101010010
311001110210001111112200
4213133331233131102
51143330011210002
631252304504030
73031004560011
oct473775573522
9131423044480
1042412210002
1116a94650128
12827791b016
133ccba54966
1420a4ac8a78
151183670b1c
hex9dff6f752

42412210002 has 48 divisors (see below), whose sum is σ = 94454849112. Its totient is φ = 13743924480.

The previous prime is 42412209997. The next prime is 42412210019. The reversal of 42412210002 is 20001221424.

42412210002 is a `hidden beast` number, since 42 + 412 + 210 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41124189681 + 1288020321 = 202791^2 + 35889^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798102 + ... + 849582.

Almost surely, 242412210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42412210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47227424556).

42412210002 is an abundant number, since it is smaller than the sum of its proper divisors (52042639110).

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

42412210002 is a wasteful number, since it uses less digits than its factorization.

42412210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52763 (or 52760 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42412210002 its reverse (20001221424), we get a palindrome (62413431426).

The spelling of 42412210002 in words is "forty-two billion, four hundred twelve million, two hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1237 2474 3711 7422 11133 22266 45769 51481 91538 102962 137307 154443 274614 308886 411921 463329 823842 926658 1904797 3809594 5714391 11428782 17143173 34286346 63681997 127363994 191045991 382091982 573137973 1146275946 2356233889 4712467778 7068701667 14137403334 21206105001 42412210002