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211423412440 = 235172367892267
BaseRepresentation
bin1100010011100111010…
…0010100000011011000
3202012201110110011102001
43010321310110003120
511430443343144230
6241043201250344
721163161232312
oct3047164240330
9665643404361
10211423412440
1181734006029
1234b853339b4
1316c24b94816
14a3392cc7b2
15577629e0ca
hex3139d140d8

211423412440 has 256 divisors, whose sum is σ = 539660620800. Its totient is φ = 74122346496.

The previous prime is 211423412401. The next prime is 211423412443. The reversal of 211423412440 is 44214324112.

It is a junction number, because it is equal to n+sod(n) for n = 211423412399 and 211423412408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211423412443) 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, 93260187 + ... + 93262453.

It is an arithmetic number, because the mean of its divisors is an integer number (2108049300).

Almost surely, 2211423412440 is an apocalyptic number.

211423412440 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 211423412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269830310400).

211423412440 is an abundant number, since it is smaller than the sum of its proper divisors (328237208360).

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

211423412440 is a wasteful number, since it uses less digits than its factorization.

211423412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2470 counting only the distinct ones).

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

Adding to 211423412440 its reverse (44214324112), we get a palindrome (255637736552).

The spelling of 211423412440 in words is "two hundred eleven billion, four hundred twenty-three million, four hundred twelve thousand, four hundred forty".