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42000212002212 = 22321166672555617
BaseRepresentation
bin10011000110010111011111…
…01101111000010110100100
312111201011212222200200122100
421203023233231320112210
521001112413233032322
6225154344145132100
711563262256405042
oct1143135755702644
9174634788620570
1042000212002212
111242320a8062a2
124863b0a02a030
131a587aba29119
14a52b6d193392
154cc7c6624dac
hex2632efb785a4

42000212002212 has 18 divisors (see below), whose sum is σ = 106167202561238. Its totient is φ = 14000070667392.

The previous prime is 42000212002211. The next prime is 42000212002279. The reversal of 42000212002212 is 21220021200024.

42000212002212 is a `hidden beast` number, since 420 + 0 + 0 + 2 + 1 + 20 + 0 + 221 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27622950108516 + 14377261893696 = 5255754^2 + 3791736^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (42000212002211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583336277773 + ... + 583336277844.

Almost surely, 242000212002212 is an apocalyptic number.

It is an amenable number.

42000212002212 is an abundant number, since it is smaller than the sum of its proper divisors (64166990559026).

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

42000212002212 is a wasteful number, since it uses less digits than its factorization.

42000212002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166672555627 (or 1166672555622 counting only the distinct ones).

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

Adding to 42000212002212 its reverse (21220021200024), we get a palindrome (63220233202236).

The spelling of 42000212002212 in words is "forty-two trillion, two hundred twelve million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1166672555617 2333345111234 3500017666851 4666690222468 7000035333702 10500053000553 14000070667404 21000106001106 42000212002212