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214123044420 = 223251189572469
BaseRepresentation
bin1100011101101010111…
…0100101111001000100
3202110200121021200021200
43013122232211321010
512002010444410140
6242211115542500
721320111563425
oct3073256457104
9673617250250
10214123044420
118289997053a
12355b945aa30
131726527c8ac
14a513a6764c
1558832b0030
hex31daba5e44

214123044420 has 36 divisors (see below), whose sum is σ = 649506568620. Its totient is φ = 57099478464.

The previous prime is 214123044419. The next prime is 214123044431. The reversal of 214123044420 is 24440321412.

214123044420 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 230 + 4 + 4 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40749074496 + 173373969924 = 201864^2 + 416382^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594786055 + ... + 594786414.

Almost surely, 2214123044420 is an apocalyptic number.

214123044420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214123044420 is an abundant number, since it is smaller than the sum of its proper divisors (435383524200).

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

214123044420 is a wasteful number, since it uses less digits than its factorization.

214123044420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189572484 (or 1189572479 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214123044420 its reverse (24440321412), we get a palindrome (238563365832).

The spelling of 214123044420 in words is "two hundred fourteen billion, one hundred twenty-three million, forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1189572469 2379144938 3568717407 4758289876 5947862345 7137434814 10706152221 11895724690 14274869628 17843587035 21412304442 23791449380 35687174070 42824608884 53530761105 71374348140 107061522210 214123044420