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214311140001 = 32737539917029
BaseRepresentation
bin1100011110010111110…
…0000111101010100001
3202111011201012220220200
43013211330013222201
512002402122440001
6242241515255413
721324554430150
oct3074574075241
9674151186820
10214311140001
1182986062532
123565044a569
131729522955a
14a530a2b597
155894a67086
hex31e5f07aa1

214311140001 has 48 divisors (see below), whose sum is σ = 363433824000. Its totient is φ = 119124618624.

The previous prime is 214311139921. The next prime is 214311140003. The reversal of 214311140001 is 100041113412.

214311140001 is a `hidden beast` number, since 214 + 311 + 140 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 214311140001 - 215 = 214311107233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214311140003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12576555 + ... + 12593583.

It is an arithmetic number, because the mean of its divisors is an integer number (7571538000).

Almost surely, 2214311140001 is an apocalyptic number.

214311140001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214311140001 is a deficient number, since it is larger than the sum of its proper divisors (149122683999).

214311140001 is a wasteful number, since it uses less digits than its factorization.

214311140001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22478 (or 22475 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 214311140001 its reverse (100041113412), we get a palindrome (314352253413).

The spelling of 214311140001 in words is "two hundred fourteen billion, three hundred eleven million, one hundred forty thousand, one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 5399 16197 17029 37793 48591 51087 113379 119203 153261 199763 340137 357609 599289 630073 1072827 1398341 1797867 1890219 4195023 4410511 5670657 12585069 13231533 39694599 91939571 275818713 643576997 827456139 1930730991 3401764127 5792192973 10205292381 23812348889 30615877143 71437046667 214311140001