211413142000 has 40 divisors (see below), whose sum is σ = 511196982192. Its totient is φ = 84565256000.

The previous prime is 211413141931. The next prime is 211413142007. The reversal of 211413142000 is 241314112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×211413142000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211413142007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 52851286 + ... + 52855285.

Almost surely, 2^211413142000 is an apocalyptic number.

211413142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211413142000 is an abundant number, since it is smaller than the sum of its proper divisors (299783840192).

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

211413142000 is a wasteful number, since it uses less digits than its factorization.

211413142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105706594 (or 105706578 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 211413142000 its reverse (241314112), we get a palindrome (211654456112).

The spelling of 211413142000 in words is "two hundred eleven billion, four hundred thirteen million, one hundred forty-two thousand".