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211144004344 = 2371329371371973
BaseRepresentation
bin1100010010100100101…
…0011101001011111000
3202011222222200202120001
43010221022131023320
511424410331114334
6240555340442344
721153226265410
oct3045112351370
9664888622501
10211144004344
1181600316649
1234b078493b4
1316bac0266a0
14a310159640
15575b9ab714
hex312929d2f8

211144004344 has 256 divisors, whose sum is σ = 521723462400. Its totient is φ = 77857210368.

The previous prime is 211144004339. The next prime is 211144004347. The reversal of 211144004344 is 443400441112.

It is a super-3 number, since 3×2111440043443 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211144004347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107015742 + ... + 107017714.

It is an arithmetic number, because the mean of its divisors is an integer number (2037982275).

Almost surely, 2211144004344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211144004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260861731200).

211144004344 is an abundant number, since it is smaller than the sum of its proper divisors (310579458056).

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

211144004344 is a wasteful number, since it uses less digits than its factorization.

211144004344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 211144004344 its reverse (443400441112), we get a palindrome (654544445456).

The spelling of 211144004344 in words is "two hundred eleven billion, one hundred forty-four million, four thousand, three hundred forty-four".