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211434143040 = 26325377919427
BaseRepresentation
bin1100010011101001110…
…1001111110101000000
3202012202012122100000200
43010322131033311000
511431004120034130
6241044223245200
721163351364001
oct3047235176500
9665665570020
10211434143040
118173a07509a
1234b88a49800
1316c27180aa3
14a33a8c31a8
1557771bd760
hex313a74fd40

211434143040 has 168 divisors, whose sum is σ = 727475243040. Its totient is φ = 56364616704.

The previous prime is 211434143033. The next prime is 211434143047. The reversal of 211434143040 is 40341434112.

211434143040 is a `hidden beast` number, since 2 + 1 + 14 + 341 + 4 + 304 + 0 = 666.

211434143040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211434143033) and next prime (211434143047).

It is a junction number, because it is equal to n+sod(n) for n = 211434142995 and 211434143013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211434143047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10873807 + ... + 10893233.

It is an arithmetic number, because the mean of its divisors is an integer number (4330209780).

Almost surely, 2211434143040 is an apocalyptic number.

211434143040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211434143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363737621520).

211434143040 is an abundant number, since it is smaller than the sum of its proper divisors (516041100000).

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

211434143040 is a wasteful number, since it uses less digits than its factorization.

211434143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23229 (or 23216 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211434143040 its reverse (40341434112), we get a palindrome (251775577152).

The spelling of 211434143040 in words is "two hundred eleven billion, four hundred thirty-four million, one hundred forty-three thousand, forty".