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212214024144 = 2434163745389
BaseRepresentation
bin1100010110100011110…
…0010000011111010000
3202021202120010101210000
43011220330100133100
511434103242233034
6241253443010000
721221601304563
oct3055074203720
9667676111700
10212214024144
1181aaa314331
1235166069900
131701c90b3b5
14a3b22d24da
1557c08be599
hex3168f107d0

212214024144 has 50 divisors (see below), whose sum is σ = 614208957890. Its totient is φ = 70738007616.

The previous prime is 212214024119. The next prime is 212214024161. The reversal of 212214024144 is 441420412212.

212214024144 is a `hidden beast` number, since 21 + 221 + 4 + 0 + 2 + 414 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137946873744 + 74267150400 = 371412^2 + 272520^2 .

It is a super-3 number, since 3×2122140241443 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 9 ways as a sum of consecutive naturals, for example, 81871399 + ... + 81873990.

Almost surely, 2212214024144 is an apocalyptic number.

212214024144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212214024144 is an abundant number, since it is smaller than the sum of its proper divisors (401994933746).

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

212214024144 is a wasteful number, since it uses less digits than its factorization.

212214024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163745409 (or 163745394 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 212214024144 its reverse (441420412212), we get a palindrome (653634436356).

The spelling of 212214024144 in words is "two hundred twelve billion, two hundred fourteen million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 163745389 327490778 491236167 654981556 982472334 1309963112 1473708501 1964944668 2619926224 2947417002 3929889336 4421125503 5894834004 7859778672 8842251006 11789668008 13263376509 17684502012 23579336016 26526753018 35369004024 53053506036 70738008048 106107012072 212214024144